%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:28 PM UTC 2026
% Result : Theorem 21.42s 4.78s
% Output : CNFRefutation 29.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 5129 ( 603 unt; 0 def)
% Number of atoms : 20420 (3435 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 28660 (13369 ~;15123 |; 119 &)
% ( 3 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 4307 ( 0 sgn4301 !; 6 ?;4007 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f59,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(flattening,[],[f60]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f70,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f90,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f98,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f114,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f122,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f123]) ).
fof(f125,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(sK1(X0)) = X0
& aNaturalNumber0(sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f114]) ).
fof(f126,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f127,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f129,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f130,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f131,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f132,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f133,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f134,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f135,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f136,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f137,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f138,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f139,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f140,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f141,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f142,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f143,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f144,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f145,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f146,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f147,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f148,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f149,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f150,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f151,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f152,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f153,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f154,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f155,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f156,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f157,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f158,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f159,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f160,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f161,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f162,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f163,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f164,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f61]) ).
fof(f165,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f170,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f174,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f175,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f178,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aNaturalNumber0(sK0(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sdtlbdtrb0(X1,sK0(X0,X1)) != sdtlbdtrb0(X0,sK0(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f184,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f186,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f187,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f97]) ).
fof(f188,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f189,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f190,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f191,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f192,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f97]) ).
fof(f193,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f194,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f195,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f197,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf_transformation,[],[f104]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f207,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f208,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK1(X0)) = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f209,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK1(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f210,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f211,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f213,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f215,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f216,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f180]) ).
fof(f217,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f179]) ).
fof(f218,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f178]) ).
tcf(c_49,plain,
aVector0(xs),
inference(cnf_transformation,[],[f127]) ).
tcf(c_50,plain,
aVector0(xt),
inference(cnf_transformation,[],[f126]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_52,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f129]) ).
tcf(c_53,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f130]) ).
tcf(c_54,plain,
aVector0(xp),
inference(cnf_transformation,[],[f132]) ).
tcf(c_55,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f131]) ).
tcf(c_56,plain,
aVector0(xq),
inference(cnf_transformation,[],[f134]) ).
tcf(c_57,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f133]) ).
tcf(c_58,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f136]) ).
tcf(c_59,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f135]) ).
tcf(c_60,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f138]) ).
tcf(c_61,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f137]) ).
tcf(c_62,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f140]) ).
tcf(c_63,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f139]) ).
tcf(c_64,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f142]) ).
tcf(c_65,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f141]) ).
tcf(c_66,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f144]) ).
tcf(c_67,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f143]) ).
tcf(c_68,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f146]) ).
tcf(c_69,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f145]) ).
tcf(c_70,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f148]) ).
tcf(c_71,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f147]) ).
tcf(c_72,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f150]) ).
tcf(c_73,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f149]) ).
tcf(c_74,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f152]) ).
tcf(c_75,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f151]) ).
tcf(c_76,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f154]) ).
tcf(c_77,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f153]) ).
tcf(c_78,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f156]) ).
tcf(c_79,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f155]) ).
tcf(c_80,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f158]) ).
tcf(c_81,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f157]) ).
tcf(c_82,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_83,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f160]) ).
tcf(c_84,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f163]) ).
tcf(c_85,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f162]) ).
tcf(c_86,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f161]) ).
tcf(c_87,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnf_transformation,[],[f164]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_89,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_93,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_97,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_98,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f175]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X0,X1) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( sziznziztdt0(X0) = X1 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X1)) != aDimensionOf0(X0) )
| ( sdtlbdtrb0(X0,sK0(X0,X1)) != sdtlbdtrb0(X1,sK0(X0,X1)) ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X1,X0))
| ( sziznziztdt0(X1) = X0 )
| ( aDimensionOf0(X1) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_103,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_104,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),X1) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_110,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_111,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_112,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_113,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_114,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_115,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_116,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_117,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_118,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_131,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK1(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_133,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_134,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_136,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_138,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f215]) ).
tcf(c_145,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_184,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_117,c_138,c_145]) ).
tcf(c_644,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_61,c_52]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(X2) != aDimensionOf0(xs) )
| ( aDimensionOf0(X0) != X2 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_89]) ).
tcf(c_1000,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ aNaturalNumber0(aDimensionOf0(X0))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(unflattening,[status(thm)],[c_999]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_1000,c_88,c_1000]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(renaming,[status(thm)],[c_1002]) ).
tcf(c_1828,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_1829,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_1830,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_126]) ).
tcf(c_1832,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
tcf(c_1858,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1828]) ).
tcf(c_2889,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1830,c_138,c_1858,c_1830]) ).
tcf(c_2891,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1832,c_138,c_1858,c_1832]) ).
tcf(c_2893,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1828,c_138,c_1858]) ).
tcf(c_2897,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_52,c_88]) ).
tcf(c_2898,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2897,c_50]) ).
tcf(c_2916,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_63,c_97]) ).
tcf(c_2917,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_65,c_97]) ).
tcf(c_2918,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2917,c_56]) ).
tcf(c_2919,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2916,c_54]) ).
tcf(c_2924,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_69,c_136]) ).
tcf(c_2925,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_71,c_136]) ).
tcf(c_2926,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2925,c_60]) ).
tcf(c_2927,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2924,c_58]) ).
tcf(c_2932,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_58,c_110]) ).
tcf(c_2933,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_60,c_110]) ).
tcf(c_2934,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_62,c_110]) ).
tcf(c_2935,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_64,c_110]) ).
tcf(c_2936,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_66,c_110]) ).
tcf(c_2937,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_68,c_110]) ).
tcf(c_2938,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_70,c_110]) ).
tcf(c_2939,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_72,c_110]) ).
tcf(c_2940,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_74,c_110]) ).
tcf(c_2941,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_76,c_110]) ).
tcf(c_2942,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_78,c_110]) ).
tcf(c_2943,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_80,c_110]) ).
tcf(c_2944,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_110]) ).
tcf(c_2945,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_110]) ).
tcf(c_2953,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_58,c_111]) ).
tcf(c_2954,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_60,c_111]) ).
tcf(c_2955,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_62,c_111]) ).
tcf(c_2956,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_64,c_111]) ).
tcf(c_2957,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_66,c_111]) ).
tcf(c_2958,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_68,c_111]) ).
tcf(c_2959,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_70,c_111]) ).
tcf(c_2960,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_72,c_111]) ).
tcf(c_2961,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_74,c_111]) ).
tcf(c_2962,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_76,c_111]) ).
tcf(c_2963,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_78,c_111]) ).
tcf(c_2964,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_80,c_111]) ).
tcf(c_2965,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_111]) ).
tcf(c_2974,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_112]) ).
tcf(c_2975,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_112]) ).
tcf(c_2976,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_112]) ).
tcf(c_2977,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_112]) ).
tcf(c_2978,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_112]) ).
tcf(c_2979,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_112]) ).
tcf(c_2980,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_112]) ).
tcf(c_2981,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_112]) ).
tcf(c_2982,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_112]) ).
tcf(c_2983,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_112]) ).
tcf(c_2984,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_112]) ).
tcf(c_2985,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_112]) ).
tcf(c_2986,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_112]) ).
tcf(c_2987,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_112]) ).
tcf(c_2995,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_113]) ).
tcf(c_2996,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_113]) ).
tcf(c_2997,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_113]) ).
tcf(c_2998,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_113]) ).
tcf(c_2999,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_113]) ).
tcf(c_3000,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_113]) ).
tcf(c_3001,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_113]) ).
tcf(c_3002,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_113]) ).
tcf(c_3003,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_113]) ).
tcf(c_3004,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_113]) ).
tcf(c_3005,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_113]) ).
tcf(c_3006,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_113]) ).
tcf(c_3007,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_113]) ).
tcf(c_3016,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_58,c_116]) ).
tcf(c_3017,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_60,c_116]) ).
tcf(c_3018,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_62,c_116]) ).
tcf(c_3019,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_64,c_116]) ).
tcf(c_3020,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_66,c_116]) ).
tcf(c_3021,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_68,c_116]) ).
tcf(c_3022,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_70,c_116]) ).
tcf(c_3023,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_72,c_116]) ).
tcf(c_3024,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_74,c_116]) ).
tcf(c_3025,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_76,c_116]) ).
tcf(c_3026,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_78,c_116]) ).
tcf(c_3027,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_80,c_116]) ).
tcf(c_3028,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_116]) ).
tcf(c_3029,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_116]) ).
tcf(c_3038,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_86,c_136]) ).
tcf(c_3054,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_84,c_94]) ).
tcf(c_3056,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_86,c_94]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_116]) ).
tcf(c_3058,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_113]) ).
tcf(c_3059,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_112]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_111]) ).
tcf(c_3061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_110]) ).
tcf(c_3064,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3054,c_74]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(X0,X1))) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_116]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_113]) ).
tcf(c_3097,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_112]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_111]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_110]) ).
tcf(c_3132,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_114]) ).
tcf(c_3133,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_114]) ).
tcf(c_3134,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_114]) ).
tcf(c_3135,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_114]) ).
tcf(c_3136,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_114]) ).
tcf(c_3137,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_114]) ).
tcf(c_3138,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_114]) ).
tcf(c_3139,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_114]) ).
tcf(c_3140,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_114]) ).
tcf(c_3141,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_114]) ).
tcf(c_3142,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_114]) ).
tcf(c_3143,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_114]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_114]) ).
tcf(c_3145,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_114]) ).
tcf(c_3146,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_114]) ).
tcf(c_3147,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_114]) ).
tcf(c_3178,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_115]) ).
tcf(c_3179,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_115]) ).
tcf(c_3180,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_115]) ).
tcf(c_3181,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_115]) ).
tcf(c_3182,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_115]) ).
tcf(c_3183,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_115]) ).
tcf(c_3184,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_115]) ).
tcf(c_3185,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_115]) ).
tcf(c_3186,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_115]) ).
tcf(c_3187,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_115]) ).
tcf(c_3188,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_115]) ).
tcf(c_3189,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_115]) ).
tcf(c_3190,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_115]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1)) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_115]) ).
tcf(c_3192,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_115]) ).
tcf(c_3193,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_115]) ).
tcf(c_3259,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_115]) ).
tcf(c_3260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_114]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_116]) ).
tcf(c_3262,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_113]) ).
tcf(c_3263,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_112]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_111]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_110]) ).
tcf(c_3315,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2987,c_136]) ).
tcf(c_3316,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3315,c_138]) ).
tcf(c_3346,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK1(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_132]) ).
tcf(c_3348,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(X0) = sz00 )
| ( szszuzczcdt0(sK1(sK1(X0))) = sK1(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_132]) ).
tcf(c_3349,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK1(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_132]) ).
tcf(c_3350,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK1(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2898,c_132]) ).
tcf(c_3351,plain,
szszuzczcdt0(sK1(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3350,c_53]) ).
tcf(c_3379,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_49,c_104]) ).
tcf(c_3380,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_3381,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_54,c_104]) ).
tcf(c_3382,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_56,c_104]) ).
tcf(c_3383,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sziznziztdt0(X0)))) = aDimensionOf0(sziznziztdt0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_104]) ).
tcf(c_3388,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3380,c_52,c_57]) ).
tcf(c_3389,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3388,c_53]) ).
tcf(c_3390,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3379,c_55]) ).
tcf(c_3391,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3390,c_53]) ).
tcf(c_3418,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_107]) ).
tcf(c_3419,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_107]) ).
tcf(c_3420,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_107]) ).
tcf(c_3421,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_107]) ).
tcf(c_3422,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_107]) ).
tcf(c_3423,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_107]) ).
tcf(c_3424,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_107]) ).
tcf(c_3425,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_107]) ).
tcf(c_3426,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_107]) ).
tcf(c_3427,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_107]) ).
tcf(c_3428,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_107]) ).
tcf(c_3429,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_107]) ).
tcf(c_3430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_107]) ).
tcf(c_3431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X2)),smndt0(X1)) = sdtasdt0(sdtlbdtrb0(X0,X2),X1) )
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_107]) ).
tcf(c_3432,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),smndt0(X1)) = sdtasdt0(smndt0(X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_107]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_107]) ).
tcf(c_3434,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_107]) ).
tcf(c_3435,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3434,c_184]) ).
tcf(c_3526,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_108]) ).
tcf(c_3527,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_108]) ).
tcf(c_3528,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_108]) ).
tcf(c_3529,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_108]) ).
tcf(c_3530,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_108]) ).
tcf(c_3531,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_108]) ).
tcf(c_3532,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_108]) ).
tcf(c_3533,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_108]) ).
tcf(c_3534,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_108]) ).
tcf(c_3535,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_108]) ).
tcf(c_3536,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_108]) ).
tcf(c_3537,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_108]) ).
tcf(c_3538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_108]) ).
tcf(c_3539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtlbdtrb0(X0,X2),smndt0(X1)) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X2),X1)) )
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_108]) ).
tcf(c_3540,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_108]) ).
tcf(c_3541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_108]) ).
tcf(c_3542,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_108]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_109]) ).
tcf(c_3620,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_109]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_109]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_109]) ).
tcf(c_3623,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_109]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_109]) ).
tcf(c_3625,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_109]) ).
tcf(c_3626,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_109]) ).
tcf(c_3627,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_109]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_109]) ).
tcf(c_3629,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_109]) ).
tcf(c_3630,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_109]) ).
tcf(c_3631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_109]) ).
tcf(c_3632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X2)),X1) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X2),X1)) )
| ~ aNaturalNumber0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_109]) ).
tcf(c_3633,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),X1) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_109]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_109]) ).
tcf(c_3635,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_109]) ).
tcf(c_3636,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3635,c_184]) ).
tcf(c_3720,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_3721,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_3722,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3725,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3721,c_50]) ).
tcf(c_3729,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3720,c_50]) ).
tcf(c_3749,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_118,c_3064]) ).
tcf(c_3750,plain,
aScalar0(smndt0(xN)),
inference(forward_subsumption_resolution,[status(thm)],[c_3749,c_78]) ).
tcf(c_3751,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xN)),X0) = smndt0(sdtasdt0(smndt0(xN),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_109]) ).
tcf(c_3752,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = smndt0(sdtasdt0(smndt0(xN),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_108]) ).
tcf(c_3753,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(X0)) = sdtasdt0(smndt0(xN),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_107]) ).
tcf(c_3754,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_115]) ).
tcf(c_3755,plain,
sdtpldt0(smndt0(xN),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_114]) ).
tcf(c_3756,plain,
smndt0(smndt0(smndt0(xN))) = smndt0(xN),
inference(superposition,[status(thm)],[c_3750,c_116]) ).
tcf(c_3757,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_113]) ).
tcf(c_3758,plain,
sdtasdt0(smndt0(xN),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_112]) ).
tcf(c_3759,plain,
sdtpldt0(sz0z00,smndt0(xN)) = smndt0(xN),
inference(superposition,[status(thm)],[c_3750,c_111]) ).
tcf(c_3760,plain,
sdtpldt0(smndt0(xN),sz0z00) = smndt0(xN),
inference(superposition,[status(thm)],[c_3750,c_110]) ).
tcf(c_3764,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = sdtasdt0(xN,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3753,c_3027]) ).
tcf(c_3769,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(smndt0(xN),X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3751,c_3027]) ).
tcf(c_3807,plain,
( ( sdtasdt0(xC,xD) = sdtasdt0(xE,xE) )
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_82,c_92]) ).
tcf(c_3808,plain,
( ( sdtasdt0(xP,xP) = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_83,c_92]) ).
tcf(c_3812,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_97,c_92]) ).
tcf(c_3813,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_136,c_92]) ).
tcf(c_3815,plain,
( ( xC = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_2919,c_92]) ).
tcf(c_3816,plain,
( ( xD = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_2918,c_92]) ).
tcf(c_3817,plain,
( ( xF = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_2927,c_92]) ).
tcf(c_3818,plain,
( ( xG = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_2926,c_92]) ).
tcf(c_3819,plain,
( ( xG = sz0z00 )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3818,c_138,c_70]) ).
tcf(c_3822,plain,
( ( xF = sz0z00 )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3817,c_138,c_68]) ).
tcf(c_3825,plain,
( ( xD = sz0z00 )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3816,c_138,c_64]) ).
tcf(c_3828,plain,
( ( xC = sz0z00 )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3815,c_138,c_62]) ).
tcf(c_3831,plain,
( ( sdtasdt0(xP,xP) = xN )
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3808,c_80]) ).
tcf(c_3835,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3813,c_138]) ).
tcf(c_3840,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3812,c_138]) ).
tcf(c_3896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_119,c_92]) ).
tcf(c_3897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3896,c_138]) ).
tcf(c_3917,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_73,c_120]) ).
tcf(c_3918,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_75,c_120]) ).
tcf(c_3919,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_77,c_120]) ).
tcf(c_3920,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_79,c_120]) ).
tcf(c_3921,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_81,c_120]) ).
tcf(c_3922,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_84,c_120]) ).
tcf(c_3950,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_120,c_92]) ).
tcf(c_3951,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3921,c_78,c_74]) ).
tcf(c_3955,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_3920,c_68,c_64,c_2927,c_2918]) ).
tcf(c_3956,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3951,c_3955]) ).
tcf(c_3959,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3919,c_72,c_66]) ).
tcf(c_3963,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_3918,c_70,c_62,c_2926,c_2919]) ).
tcf(c_3964,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_3956,c_3963]) ).
tcf(c_3965,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3917,c_60,c_58]) ).
tcf(c_3969,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3922,c_3963]) ).
tcf(c_3970,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3969,c_74]) ).
tcf(c_3974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3950,c_138]) ).
tcf(c_3995,plain,
( ( xS = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_3955,c_92]) ).
tcf(c_3996,plain,
( ( xS = sz0z00 )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3995,c_138,c_78]) ).
tcf(c_3999,plain,
( ( xR = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_3963,c_92]) ).
tcf(c_4000,plain,
( ( xR = sz0z00 )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3999,c_138,c_74]) ).
tcf(c_4003,plain,
( ( xN = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_3964,c_92]) ).
tcf(c_4004,plain,
( ( xN = sz0z00 )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4003,c_138,c_80]) ).
tcf(c_4039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),X0) ),
inference(superposition,[status(thm)],[c_82,c_91]) ).
tcf(c_4040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_83,c_91]) ).
tcf(c_4041,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_97,c_91]) ).
tcf(c_4045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_119,c_91]) ).
tcf(c_4046,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_120,c_91]) ).
tcf(c_4047,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_136,c_91]) ).
tcf(c_4049,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2919,c_91]) ).
tcf(c_4050,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2918,c_91]) ).
tcf(c_4051,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2927,c_91]) ).
tcf(c_4052,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2926,c_91]) ).
tcf(c_4053,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_3963,c_91]) ).
tcf(c_4054,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_3955,c_91]) ).
tcf(c_4055,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_3964,c_91]) ).
tcf(c_4056,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4055,c_138,c_80]) ).
tcf(c_4060,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4054,c_138,c_78]) ).
tcf(c_4064,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4053,c_138,c_74]) ).
tcf(c_4068,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4052,c_138,c_70]) ).
tcf(c_4072,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4051,c_138,c_68]) ).
tcf(c_4076,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4050,c_138,c_64]) ).
tcf(c_4080,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4049,c_138,c_62]) ).
tcf(c_4090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4040,c_80]) ).
tcf(c_4095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4047,c_138]) ).
tcf(c_4101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4044,c_138]) ).
tcf(c_4112,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4046,c_138]) ).
tcf(c_4121,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4045,c_138]) ).
tcf(c_4164,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_105]) ).
tcf(c_4165,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_105]) ).
tcf(c_4166,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xp),X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_105]) ).
tcf(c_4167,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xq),X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_105]) ).
tcf(c_4168,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(sziznziztdt0(X0)),X1) = sdtlbdtrb0(sziznziztdt0(X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_4175,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_4165,c_52,c_57]) ).
tcf(c_4176,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4175,c_53]) ).
tcf(c_4179,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_4164,c_55]) ).
tcf(c_4180,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4179,c_53]) ).
tcf(c_4201,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_125]) ).
tcf(c_4202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_125]) ).
tcf(c_4203,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_125]) ).
tcf(c_4204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_125]) ).
tcf(c_4205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_125]) ).
tcf(c_4206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_125]) ).
tcf(c_4207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_125]) ).
tcf(c_4208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_125]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_125]) ).
tcf(c_4210,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_125]) ).
tcf(c_4211,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_125]) ).
tcf(c_4212,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_125]) ).
tcf(c_4213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_125]) ).
tcf(c_4214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(X0,X3),X1),X2) = sdtpldt0(sdtlbdtrb0(X0,X3),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_125]) ).
tcf(c_4215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_125]) ).
tcf(c_4216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_125]) ).
tcf(c_4217,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0),X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_125]) ).
tcf(c_4218,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xN),X0),X1) = sdtpldt0(smndt0(xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_125]) ).
tcf(c_4334,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_127]) ).
tcf(c_4335,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_127]) ).
tcf(c_4336,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_127]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_127]) ).
tcf(c_4338,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_127]) ).
tcf(c_4339,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_127]) ).
tcf(c_4340,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_127]) ).
tcf(c_4341,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_127]) ).
tcf(c_4342,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_127]) ).
tcf(c_4343,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_127]) ).
tcf(c_4344,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_127]) ).
tcf(c_4345,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_127]) ).
tcf(c_4346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_127]) ).
tcf(c_4347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(X0,X3),X1),X2) = sdtasdt0(sdtlbdtrb0(X0,X3),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_127]) ).
tcf(c_4348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_127]) ).
tcf(c_4349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_127]) ).
tcf(c_4350,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0),X1) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_127]) ).
tcf(c_4351,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),X0),X1) = sdtasdt0(smndt0(xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_127]) ).
tcf(c_4466,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3389,c_130]) ).
tcf(c_4475,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3391,c_130]) ).
tcf(c_4487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasasdt0(X0,X0),X1),X2) = sdtasdt0(sdtasasdt0(X0,X0),sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_127]) ).
tcf(c_4488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasasdt0(X0,X0),X1),X2) = sdtpldt0(sdtasasdt0(X0,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_125]) ).
tcf(c_4489,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),X1) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),X1)) )
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_109]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),smndt0(X1)) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),X1)) )
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_108]) ).
tcf(c_4491,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),smndt0(X1)) = sdtasdt0(sdtasasdt0(X0,X0),X1) )
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_107]) ).
tcf(c_4492,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_115]) ).
tcf(c_4493,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_114]) ).
tcf(c_4494,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_116]) ).
tcf(c_4495,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_113]) ).
tcf(c_4496,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_112]) ).
tcf(c_4497,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_111]) ).
tcf(c_4498,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_110]) ).
tcf(c_4570,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X0),sdtasdt0(xA,X1)) = sdtasdt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_123]) ).
tcf(c_4571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X0),sdtasdt0(xB,X1)) = sdtasdt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_123]) ).
tcf(c_4572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X0),sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_123]) ).
tcf(c_4573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X0),sdtasdt0(xD,X1)) = sdtasdt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_123]) ).
tcf(c_4574,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X0),sdtasdt0(xE,X1)) = sdtasdt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_123]) ).
tcf(c_4575,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X0),sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_123]) ).
tcf(c_4576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X0),sdtasdt0(xG,X1)) = sdtasdt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_123]) ).
tcf(c_4577,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X0),sdtasdt0(xH,X1)) = sdtasdt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_123]) ).
tcf(c_4578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X0),sdtasdt0(xR,X1)) = sdtasdt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_123]) ).
tcf(c_4579,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X0),sdtasdt0(xP,X1)) = sdtasdt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_4580,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X0),sdtasdt0(xS,X1)) = sdtasdt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_4581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X0),sdtasdt0(xN,X1)) = sdtasdt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_123]) ).
tcf(c_4582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_123]) ).
tcf(c_4583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X3),X1),sdtasdt0(sdtlbdtrb0(X0,X3),X2)) = sdtasdt0(sdtlbdtrb0(X0,X3),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_123]) ).
tcf(c_4584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_123]) ).
tcf(c_4585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_123]) ).
tcf(c_4586,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X0),sdtasdt0(sz0z00,X1)) = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_123]) ).
tcf(c_4587,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xN),X0),sdtasdt0(smndt0(xN),X1)) = sdtasdt0(smndt0(xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_123]) ).
tcf(c_4588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X0,X0),X1),sdtasdt0(sdtasasdt0(X0,X0),X2)) = sdtasdt0(sdtasasdt0(X0,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_123]) ).
tcf(c_4725,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xA,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_124]) ).
tcf(c_4726,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xB,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_124]) ).
tcf(c_4727,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xC,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_124]) ).
tcf(c_4728,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xD,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_124]) ).
tcf(c_4729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xE,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_124]) ).
tcf(c_4730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xF,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_124]) ).
tcf(c_4731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xG,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_124]) ).
tcf(c_4732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xH,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_124]) ).
tcf(c_4733,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xR,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_124]) ).
tcf(c_4734,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xP,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_124]) ).
tcf(c_4735,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xS,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_124]) ).
tcf(c_4736,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xN,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_124]) ).
tcf(c_4737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_124]) ).
tcf(c_4738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X3),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X0,X3),X1),X2) )
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_124]) ).
tcf(c_4739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(smndt0(X0),X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_124]) ).
tcf(c_4740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_124]) ).
tcf(c_4741,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz0z00,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_124]) ).
tcf(c_4742,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(smndt0(xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_124]) ).
tcf(c_4743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X0,X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sdtasasdt0(X0,X0),X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_124]) ).
tcf(c_4874,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_4875,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xt) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_4876,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_95]) ).
tcf(c_4880,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_4875,c_52]) ).
tcf(c_4881,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4874,c_50]) ).
tcf(c_4898,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_100]) ).
tcf(c_4899,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_100]) ).
tcf(c_4901,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_4899,c_52,c_57]) ).
tcf(c_4902,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4901,c_53,c_50]) ).
tcf(c_4906,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_4898,c_57]) ).
tcf(c_4934,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_124]) ).
tcf(c_4935,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X0),sdtasdt0(sdtasdt0(xS,xS),X1)) = sdtasdt0(sdtasdt0(xS,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_123]) ).
tcf(c_4936,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xS),X0),X1) = sdtasdt0(sdtasdt0(xS,xS),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_127]) ).
tcf(c_4937,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),X0),X1) = sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_125]) ).
tcf(c_4938,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_109]) ).
tcf(c_4939,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xS,xS),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_108]) ).
tcf(c_4940,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),smndt0(X0)) = sdtasdt0(sdtasdt0(xS,xS),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_107]) ).
tcf(c_4941,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_115]) ).
tcf(c_4942,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_114]) ).
tcf(c_4943,plain,
( ( smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_116]) ).
tcf(c_4944,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_113]) ).
tcf(c_4945,plain,
( ( sdtasdt0(sdtasdt0(xS,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_112]) ).
tcf(c_4946,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xS,xS)) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_111]) ).
tcf(c_4947,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),sz0z00) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_110]) ).
tcf(c_4997,plain,
! [X0: $i] :
( ( sK1(aDimensionOf0(xs)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(aDimensionOf0(xs)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3351,c_130]) ).
tcf(c_5055,plain,
( aNaturalNumber0(aDimensionOf0(xp))
| ( aDimensionOf0(xp) = sz00 )
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xp))) ),
inference(superposition,[status(thm)],[c_3381,c_133]) ).
tcf(c_5056,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = sz00 )
| ( aDimensionOf0(sziznziztdt0(xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xp)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_3381,c_130]) ).
tcf(c_5080,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2945,c_121]) ).
tcf(c_5081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_2932,c_121]) ).
tcf(c_5082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_2933,c_121]) ).
tcf(c_5083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2934,c_121]) ).
tcf(c_5084,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2935,c_121]) ).
tcf(c_5085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_2936,c_121]) ).
tcf(c_5086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2937,c_121]) ).
tcf(c_5087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2938,c_121]) ).
tcf(c_5088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(superposition,[status(thm)],[c_2939,c_121]) ).
tcf(c_5089,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_2940,c_121]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(superposition,[status(thm)],[c_2941,c_121]) ).
tcf(c_5091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_2942,c_121]) ).
tcf(c_5092,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_2943,c_121]) ).
tcf(c_5093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_2953,c_121]) ).
tcf(c_5094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_2954,c_121]) ).
tcf(c_5095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2955,c_121]) ).
tcf(c_5096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2956,c_121]) ).
tcf(c_5097,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_2957,c_121]) ).
tcf(c_5098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2958,c_121]) ).
tcf(c_5099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2959,c_121]) ).
tcf(c_5100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(superposition,[status(thm)],[c_2960,c_121]) ).
tcf(c_5101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_2961,c_121]) ).
tcf(c_5102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(superposition,[status(thm)],[c_2962,c_121]) ).
tcf(c_5103,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_2963,c_121]) ).
tcf(c_5104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_2964,c_121]) ).
tcf(c_5105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3132,c_121]) ).
tcf(c_5106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3133,c_121]) ).
tcf(c_5107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3134,c_121]) ).
tcf(c_5108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3135,c_121]) ).
tcf(c_5109,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3136,c_121]) ).
tcf(c_5110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3137,c_121]) ).
tcf(c_5111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3138,c_121]) ).
tcf(c_5112,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3139,c_121]) ).
tcf(c_5113,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3140,c_121]) ).
tcf(c_5114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3141,c_121]) ).
tcf(c_5115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3142,c_121]) ).
tcf(c_5116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3143,c_121]) ).
tcf(c_5117,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3178,c_121]) ).
tcf(c_5118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3179,c_121]) ).
tcf(c_5119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3180,c_121]) ).
tcf(c_5120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3181,c_121]) ).
tcf(c_5121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3182,c_121]) ).
tcf(c_5122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3183,c_121]) ).
tcf(c_5123,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3184,c_121]) ).
tcf(c_5124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3185,c_121]) ).
tcf(c_5125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3186,c_121]) ).
tcf(c_5126,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3187,c_121]) ).
tcf(c_5127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3188,c_121]) ).
tcf(c_5128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3189,c_121]) ).
tcf(c_5129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3759,c_121]) ).
tcf(c_5130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3760,c_121]) ).
tcf(c_5131,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2945,c_121]) ).
tcf(c_5132,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_2932,c_121]) ).
tcf(c_5133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_2933,c_121]) ).
tcf(c_5134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_2934,c_121]) ).
tcf(c_5135,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_2935,c_121]) ).
tcf(c_5136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_2936,c_121]) ).
tcf(c_5137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_2937,c_121]) ).
tcf(c_5138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_2938,c_121]) ).
tcf(c_5139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_2939,c_121]) ).
tcf(c_5140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_2940,c_121]) ).
tcf(c_5141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_2941,c_121]) ).
tcf(c_5142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_2942,c_121]) ).
tcf(c_5143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_2943,c_121]) ).
tcf(c_5144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2953,c_121]) ).
tcf(c_5145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2954,c_121]) ).
tcf(c_5146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2955,c_121]) ).
tcf(c_5147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2956,c_121]) ).
tcf(c_5148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2957,c_121]) ).
tcf(c_5149,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2958,c_121]) ).
tcf(c_5150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_121]) ).
tcf(c_5151,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_121]) ).
tcf(c_5152,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_121]) ).
tcf(c_5153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2962,c_121]) ).
tcf(c_5154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2963,c_121]) ).
tcf(c_5155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2964,c_121]) ).
tcf(c_5156,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3132,c_121]) ).
tcf(c_5157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3133,c_121]) ).
tcf(c_5158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3134,c_121]) ).
tcf(c_5159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3135,c_121]) ).
tcf(c_5160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3136,c_121]) ).
tcf(c_5161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3137,c_121]) ).
tcf(c_5162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3138,c_121]) ).
tcf(c_5163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3139,c_121]) ).
tcf(c_5164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3140,c_121]) ).
tcf(c_5165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3141,c_121]) ).
tcf(c_5166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3142,c_121]) ).
tcf(c_5167,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3143,c_121]) ).
tcf(c_5168,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3178,c_121]) ).
tcf(c_5169,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3179,c_121]) ).
tcf(c_5170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3180,c_121]) ).
tcf(c_5171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3181,c_121]) ).
tcf(c_5172,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3182,c_121]) ).
tcf(c_5173,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3183,c_121]) ).
tcf(c_5174,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3184,c_121]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3185,c_121]) ).
tcf(c_5176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3186,c_121]) ).
tcf(c_5177,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3187,c_121]) ).
tcf(c_5178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3188,c_121]) ).
tcf(c_5179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3189,c_121]) ).
tcf(c_5180,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xN))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3759,c_121]) ).
tcf(c_5181,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xN))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3760,c_121]) ).
tcf(c_5182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtpldt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtpldt0(X3,X4))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_121,c_91]) ).
tcf(c_5183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_121,c_92]) ).
tcf(c_5184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5131,c_138]) ).
tcf(c_5191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5155,c_138,c_80]) ).
tcf(c_5197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5154,c_138,c_78]) ).
tcf(c_5203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5153,c_138,c_76]) ).
tcf(c_5209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5152,c_138,c_74]) ).
tcf(c_5215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5151,c_138,c_72]) ).
tcf(c_5221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5150,c_138,c_70]) ).
tcf(c_5227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5149,c_138,c_68]) ).
tcf(c_5233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5148,c_138,c_66]) ).
tcf(c_5239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5147,c_138,c_64]) ).
tcf(c_5245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5146,c_138,c_62]) ).
tcf(c_5251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5145,c_138,c_60]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5144,c_138,c_58]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5143,c_138,c_80]) ).
tcf(c_5269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5142,c_138,c_78]) ).
tcf(c_5275,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5141,c_138,c_76]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5140,c_138,c_74]) ).
tcf(c_5287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5139,c_138,c_72]) ).
tcf(c_5293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5138,c_138,c_70]) ).
tcf(c_5299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5137,c_138,c_68]) ).
tcf(c_5305,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5136,c_138,c_66]) ).
tcf(c_5311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5135,c_138,c_64]) ).
tcf(c_5317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5134,c_138,c_62]) ).
tcf(c_5323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5133,c_138,c_60]) ).
tcf(c_5329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5132,c_138,c_58]) ).
tcf(c_5335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5104,c_138,c_80]) ).
tcf(c_5341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5103,c_138,c_78]) ).
tcf(c_5347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5102,c_138,c_76]) ).
tcf(c_5353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5101,c_138,c_74]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5100,c_138,c_72]) ).
tcf(c_5365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5099,c_138,c_70]) ).
tcf(c_5371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5098,c_138,c_68]) ).
tcf(c_5377,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5097,c_138,c_66]) ).
tcf(c_5383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5096,c_138,c_64]) ).
tcf(c_5389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5095,c_138,c_62]) ).
tcf(c_5395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5094,c_138,c_60]) ).
tcf(c_5401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5093,c_138,c_58]) ).
tcf(c_5407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5092,c_138,c_80]) ).
tcf(c_5413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5091,c_138,c_78]) ).
tcf(c_5419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5090,c_138,c_76]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5089,c_138,c_74]) ).
tcf(c_5431,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5088,c_138,c_72]) ).
tcf(c_5437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5087,c_138,c_70]) ).
tcf(c_5443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5086,c_138,c_68]) ).
tcf(c_5449,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5085,c_138,c_66]) ).
tcf(c_5455,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5084,c_138,c_64]) ).
tcf(c_5461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5083,c_138,c_62]) ).
tcf(c_5467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5082,c_138,c_60]) ).
tcf(c_5473,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5081,c_138,c_58]) ).
tcf(c_5479,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5179,c_80,c_3750]) ).
tcf(c_5485,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5178,c_78]) ).
tcf(c_5492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5177,c_76]) ).
tcf(c_5499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5176,c_74]) ).
tcf(c_5506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5175,c_72]) ).
tcf(c_5513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5174,c_70]) ).
tcf(c_5520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5173,c_68]) ).
tcf(c_5527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5172,c_66]) ).
tcf(c_5534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5171,c_64]) ).
tcf(c_5541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5170,c_62]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5169,c_60]) ).
tcf(c_5555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5168,c_58]) ).
tcf(c_5562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5167,c_80,c_3750]) ).
tcf(c_5568,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5166,c_78]) ).
tcf(c_5575,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5165,c_76]) ).
tcf(c_5582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5164,c_74]) ).
tcf(c_5589,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5163,c_72]) ).
tcf(c_5596,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5162,c_70]) ).
tcf(c_5603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5161,c_68]) ).
tcf(c_5610,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5160,c_66]) ).
tcf(c_5617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5159,c_64]) ).
tcf(c_5624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5158,c_62]) ).
tcf(c_5631,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5157,c_60]) ).
tcf(c_5638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5156,c_58]) ).
tcf(c_5645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5128,c_80,c_3750]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5127,c_78]) ).
tcf(c_5658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5126,c_76]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5125,c_74]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5124,c_72]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5123,c_70]) ).
tcf(c_5686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_68]) ).
tcf(c_5693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5121,c_66]) ).
tcf(c_5700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5120,c_64]) ).
tcf(c_5707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5119,c_62]) ).
tcf(c_5714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5118,c_60]) ).
tcf(c_5721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5117,c_58]) ).
tcf(c_5728,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5116,c_80,c_3750]) ).
tcf(c_5734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5115,c_78]) ).
tcf(c_5741,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5114,c_76]) ).
tcf(c_5748,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5113,c_74]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5112,c_72]) ).
tcf(c_5762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5111,c_70]) ).
tcf(c_5769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5110,c_68]) ).
tcf(c_5776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5109,c_66]) ).
tcf(c_5783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5108,c_64]) ).
tcf(c_5790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5107,c_62]) ).
tcf(c_5797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5106,c_60]) ).
tcf(c_5804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5105,c_58]) ).
tcf(c_5811,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5181,c_138,c_3750]) ).
tcf(c_5817,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5180,c_138,c_3750]) ).
tcf(c_5823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5130,c_138,c_3750]) ).
tcf(c_5829,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5129,c_138,c_3750]) ).
tcf(c_6039,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_69,c_135]) ).
tcf(c_6040,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_71,c_135]) ).
tcf(c_6041,plain,
! [X0: $i] :
( ( smndt0(xS) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ( sdtasdt0(X0,X0) != sdtasdt0(xS,xS) ) ),
inference(superposition,[status(thm)],[c_86,c_135]) ).
tcf(c_6042,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_2987,c_135]) ).
tcf(c_6044,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6042,c_138,c_3316]) ).
tcf(c_6049,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6040,c_60]) ).
tcf(c_6055,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6039,c_58]) ).
tcf(c_6082,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,sziznziztdt0(xp)))
| ( aDimensionOf0(xp) = sz00 )
| ( sziznziztdt0(X0) = sziznziztdt0(xp) )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ~ aVector0(sziznziztdt0(xp))
| ( aDimensionOf0(X0) != aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_3381,c_102]) ).
tcf(c_6083,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xq)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3389,c_102]) ).
tcf(c_6084,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xp)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3391,c_102]) ).
tcf(c_6085,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(superposition,[status(thm)],[c_52,c_102]) ).
tcf(c_6086,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6084,c_54]) ).
tcf(c_6092,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6083,c_56]) ).
tcf(c_6098,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6085,c_50]) ).
tcf(c_6136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_69,c_137]) ).
tcf(c_6137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_71,c_137]) ).
tcf(c_6138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_73,c_137]) ).
tcf(c_6139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_75,c_137]) ).
tcf(c_6140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_77,c_137]) ).
tcf(c_6141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_79,c_137]) ).
tcf(c_6142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_81,c_137]) ).
tcf(c_6143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtasdt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_84,c_137]) ).
tcf(c_6144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtasdt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_85,c_137]) ).
tcf(c_6145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xS,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_86,c_137]) ).
tcf(c_6146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2987,c_137]) ).
tcf(c_6147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_2974,c_137]) ).
tcf(c_6148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_2975,c_137]) ).
tcf(c_6149,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2976,c_137]) ).
tcf(c_6150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2977,c_137]) ).
tcf(c_6151,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_2978,c_137]) ).
tcf(c_6152,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2979,c_137]) ).
tcf(c_6153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2980,c_137]) ).
tcf(c_6154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(superposition,[status(thm)],[c_2981,c_137]) ).
tcf(c_6155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_2982,c_137]) ).
tcf(c_6156,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(superposition,[status(thm)],[c_2983,c_137]) ).
tcf(c_6157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_2984,c_137]) ).
tcf(c_6158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_2985,c_137]) ).
tcf(c_6159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_2995,c_137]) ).
tcf(c_6160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_2996,c_137]) ).
tcf(c_6161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2997,c_137]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2998,c_137]) ).
tcf(c_6163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_2999,c_137]) ).
tcf(c_6164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_3000,c_137]) ).
tcf(c_6165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_3001,c_137]) ).
tcf(c_6166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(superposition,[status(thm)],[c_3002,c_137]) ).
tcf(c_6167,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_3003,c_137]) ).
tcf(c_6168,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(superposition,[status(thm)],[c_3004,c_137]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_3005,c_137]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_3006,c_137]) ).
tcf(c_6171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3758,c_137]) ).
tcf(c_6172,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3757,c_137]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_69,c_137]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_71,c_137]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_73,c_137]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_75,c_137]) ).
tcf(c_6177,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_77,c_137]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_79,c_137]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_81,c_137]) ).
tcf(c_6180,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_84,c_137]) ).
tcf(c_6181,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_85,c_137]) ).
tcf(c_6182,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xS,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_86,c_137]) ).
tcf(c_6183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2987,c_137]) ).
tcf(c_6184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_2974,c_137]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_2975,c_137]) ).
tcf(c_6186,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_2976,c_137]) ).
tcf(c_6187,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_2977,c_137]) ).
tcf(c_6188,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_2978,c_137]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_2979,c_137]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_2980,c_137]) ).
tcf(c_6191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_2981,c_137]) ).
tcf(c_6192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_2982,c_137]) ).
tcf(c_6193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_2983,c_137]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_2984,c_137]) ).
tcf(c_6195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_2985,c_137]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2995,c_137]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2996,c_137]) ).
tcf(c_6198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2997,c_137]) ).
tcf(c_6199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2998,c_137]) ).
tcf(c_6200,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2999,c_137]) ).
tcf(c_6201,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_137]) ).
tcf(c_6202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3001,c_137]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3002,c_137]) ).
tcf(c_6204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_137]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_137]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3005,c_137]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3006,c_137]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3758,c_137]) ).
tcf(c_6209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3757,c_137]) ).
tcf(c_6210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtasdt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtasdt0(X3,X4))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_137,c_91]) ).
tcf(c_6211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_137,c_92]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6183,c_138]) ).
tcf(c_6219,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6174,c_60]) ).
tcf(c_6226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6173,c_58]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6137,c_60]) ).
tcf(c_6241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6136,c_58]) ).
tcf(c_6248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6207,c_138,c_80]) ).
tcf(c_6255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6206,c_138,c_78]) ).
tcf(c_6262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6205,c_138,c_76]) ).
tcf(c_6269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_138,c_74]) ).
tcf(c_6276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6203,c_138,c_72]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6202,c_138,c_70]) ).
tcf(c_6290,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6201,c_138,c_68]) ).
tcf(c_6297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6200,c_138,c_66]) ).
tcf(c_6304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6199,c_138,c_64]) ).
tcf(c_6311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6198,c_138,c_62]) ).
tcf(c_6318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6197,c_138,c_60]) ).
tcf(c_6325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6196,c_138,c_58]) ).
tcf(c_6332,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6195,c_138,c_80]) ).
tcf(c_6339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6194,c_138,c_78]) ).
tcf(c_6346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6193,c_138,c_76]) ).
tcf(c_6353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6192,c_138,c_74]) ).
tcf(c_6360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6191,c_138,c_72]) ).
tcf(c_6367,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6190,c_138,c_70]) ).
tcf(c_6374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6189,c_138,c_68]) ).
tcf(c_6381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6188,c_138,c_66]) ).
tcf(c_6388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6187,c_138,c_64]) ).
tcf(c_6395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6186,c_138,c_62]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6185,c_138,c_60]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6184,c_138,c_58]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6179,c_78,c_74]) ).
tcf(c_6423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6178,c_68,c_64]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6177,c_72,c_66]) ).
tcf(c_6437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6176,c_70,c_62]) ).
tcf(c_6444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6175,c_60,c_58]) ).
tcf(c_6451,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6170,c_138,c_80,c_3964]) ).
tcf(c_6457,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6169,c_138,c_78,c_3955]) ).
tcf(c_6463,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6168,c_138,c_76]) ).
tcf(c_6470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6167,c_138,c_74,c_3963]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6166,c_138,c_72]) ).
tcf(c_6483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6165,c_138,c_70,c_2926]) ).
tcf(c_6489,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6164,c_138,c_68,c_2927]) ).
tcf(c_6495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6163,c_138,c_66]) ).
tcf(c_6502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6162,c_138,c_64,c_2918]) ).
tcf(c_6508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6161,c_138,c_62,c_2919]) ).
tcf(c_6514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6160,c_138,c_60]) ).
tcf(c_6521,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6159,c_138,c_58]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6158,c_138,c_80,c_3316]) ).
tcf(c_6534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6157,c_138,c_78,c_3316]) ).
tcf(c_6540,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xP,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6156,c_138,c_76,c_3316]) ).
tcf(c_6546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6155,c_138,c_74,c_3316]) ).
tcf(c_6552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xH,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6154,c_138,c_72,c_3316]) ).
tcf(c_6558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6153,c_138,c_70,c_3316]) ).
tcf(c_6564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6152,c_138,c_68,c_3316]) ).
tcf(c_6570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6151,c_138,c_66,c_3316]) ).
tcf(c_6576,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6150,c_138,c_64,c_3316]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6149,c_138,c_62,c_3316]) ).
tcf(c_6588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6148,c_138,c_60,c_3316]) ).
tcf(c_6594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6147,c_138,c_58,c_3316]) ).
tcf(c_6600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6142,c_78,c_74,c_3955]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6141,c_68,c_64,c_2918]) ).
tcf(c_6612,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6140,c_72,c_66]) ).
tcf(c_6619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6139,c_70,c_62,c_2926]) ).
tcf(c_6625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6138,c_60,c_58]) ).
tcf(c_6632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6209,c_138,c_3750]) ).
tcf(c_6639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6208,c_138,c_3750]) ).
tcf(c_6653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6171,c_138,c_3750,c_3316]) ).
tcf(c_6659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6181,c_74]) ).
tcf(c_6667,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),smndt0(xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6180,c_74]) ).
tcf(c_6675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6172,c_138,c_3750]) ).
tcf(c_6689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6144,c_74,c_3963]) ).
tcf(c_6696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xN),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6143,c_74]) ).
tcf(c_6858,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(superposition,[status(thm)],[c_3038,c_91]) ).
tcf(c_6859,plain,
( ( sdtasdt0(xS,xS) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),sz0z00) ),
inference(superposition,[status(thm)],[c_3038,c_92]) ).
tcf(c_6860,plain,
( ( sdtasdt0(xS,xS) = sz0z00 )
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6859,c_138]) ).
tcf(c_6865,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6858,c_138]) ).
tcf(c_6875,plain,
sdtasdt0(smndt0(xA),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_2986]) ).
tcf(c_6876,plain,
sdtasdt0(smndt0(xB),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_2986]) ).
tcf(c_6877,plain,
sdtasdt0(smndt0(xC),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_2986]) ).
tcf(c_6878,plain,
sdtasdt0(smndt0(xD),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_2986]) ).
tcf(c_6879,plain,
sdtasdt0(smndt0(xE),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_2986]) ).
tcf(c_6880,plain,
sdtasdt0(smndt0(xF),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_2986]) ).
tcf(c_6881,plain,
sdtasdt0(smndt0(xG),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_2986]) ).
tcf(c_6882,plain,
sdtasdt0(smndt0(xH),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_2986]) ).
tcf(c_6883,plain,
sdtasdt0(smndt0(xR),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_2986]) ).
tcf(c_6884,plain,
sdtasdt0(smndt0(xP),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_2986]) ).
tcf(c_6885,plain,
sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_2986]) ).
tcf(c_6887,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_2986]) ).
tcf(c_6888,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_2986]) ).
tcf(c_6889,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_2986]) ).
tcf(c_6890,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_2986]) ).
tcf(c_6891,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_2986]) ).
tcf(c_6892,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_2986]) ).
tcf(c_6893,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_2986]) ).
tcf(c_6894,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_2986]) ).
tcf(c_6931,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_6875,c_137]) ).
tcf(c_6932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_6875,c_137]) ).
tcf(c_6933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6932,c_138]) ).
tcf(c_6941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6931,c_138,c_3316]) ).
tcf(c_6956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_6876,c_137]) ).
tcf(c_6957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_6876,c_137]) ).
tcf(c_6958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6957,c_138]) ).
tcf(c_6966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6956,c_138,c_3316]) ).
tcf(c_6976,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_6877,c_137]) ).
tcf(c_6977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_6877,c_137]) ).
tcf(c_6978,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6977,c_138]) ).
tcf(c_6986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6976,c_138,c_3316]) ).
tcf(c_6996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_6878,c_137]) ).
tcf(c_6997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_6878,c_137]) ).
tcf(c_6998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6997,c_138]) ).
tcf(c_7006,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6996,c_138,c_3316]) ).
tcf(c_7016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_6879,c_137]) ).
tcf(c_7017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_6879,c_137]) ).
tcf(c_7018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7017,c_138]) ).
tcf(c_7026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7016,c_138,c_3316]) ).
tcf(c_7041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_6880,c_137]) ).
tcf(c_7042,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_6880,c_137]) ).
tcf(c_7043,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7042,c_138]) ).
tcf(c_7051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7041,c_138,c_3316]) ).
tcf(c_7061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_6881,c_137]) ).
tcf(c_7062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_6881,c_137]) ).
tcf(c_7063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7062,c_138]) ).
tcf(c_7071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7061,c_138,c_3316]) ).
tcf(c_7081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_6882,c_137]) ).
tcf(c_7082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_6882,c_137]) ).
tcf(c_7083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7082,c_138]) ).
tcf(c_7091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7081,c_138,c_3316]) ).
tcf(c_7101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_6883,c_137]) ).
tcf(c_7102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_6883,c_137]) ).
tcf(c_7103,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7102,c_138]) ).
tcf(c_7111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7101,c_138,c_3316]) ).
tcf(c_7127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_6884,c_137]) ).
tcf(c_7128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_6884,c_137]) ).
tcf(c_7129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7128,c_138]) ).
tcf(c_7137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7127,c_138,c_3316]) ).
tcf(c_7147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_6885,c_137]) ).
tcf(c_7148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_6885,c_137]) ).
tcf(c_7149,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7148,c_138]) ).
tcf(c_7157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7147,c_138,c_3316]) ).
tcf(c_7175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(xA,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xA,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_122]) ).
tcf(c_7176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(xB,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xB,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_60,c_122]) ).
tcf(c_7177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(xC,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xC,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_122]) ).
tcf(c_7178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(xD,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xD,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_122]) ).
tcf(c_7179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(xE,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_122]) ).
tcf(c_7180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(xF,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xF,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_122]) ).
tcf(c_7181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(xG,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xG,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_122]) ).
tcf(c_7182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(xH,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xH,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_122]) ).
tcf(c_7183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(xR,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_122]) ).
tcf(c_7184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(xP,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xP,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_122]) ).
tcf(c_7185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(xS,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xS,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_122]) ).
tcf(c_7186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(xN,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xN,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_122]) ).
tcf(c_7187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_122]) ).
tcf(c_7188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X4),X2),sdtasdt0(sdtlbdtrb0(X0,X4),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X0,X4),X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_122]) ).
tcf(c_7189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(smndt0(X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(smndt0(X0),X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_122]) ).
tcf(c_7190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_122]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(sz0z00,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sz0z00,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_122]) ).
tcf(c_7192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),X1),sdtasdt0(smndt0(xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(smndt0(xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3750,c_122]) ).
tcf(c_7193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1),sdtasdt0(sdtasdt0(xS,xS),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_122]) ).
tcf(c_7194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasasdt0(X0,X0),X2),sdtasdt0(sdtasasdt0(X0,X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(sdtasasdt0(X0,X0),X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_122]) ).
tcf(c_7375,plain,
! [X0: $i] :
( ( sziznziztdt0(X0) = X0 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X0) ) ),
inference(equality_resolution,[status(thm)],[c_101]) ).
tcf(c_7391,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_99]) ).
tcf(c_7392,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_99]) ).
tcf(c_7393,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_99]) ).
tcf(c_7397,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_7392,c_52,c_57,c_644]) ).
tcf(c_7398,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7397,c_53,c_50]) ).
tcf(c_7402,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_7391,c_52,c_57,c_644]) ).
tcf(c_7403,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7402,c_50]) ).
tcf(c_7421,plain,
sdtasdt0(sz0z00,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_3007]) ).
tcf(c_7422,plain,
sdtasdt0(sz0z00,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_3007]) ).
tcf(c_7423,plain,
sdtasdt0(sz0z00,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3007]) ).
tcf(c_7424,plain,
sdtasdt0(sz0z00,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3007]) ).
tcf(c_7425,plain,
sdtasdt0(sz0z00,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3007]) ).
tcf(c_7426,plain,
sdtasdt0(sz0z00,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3007]) ).
tcf(c_7427,plain,
sdtasdt0(sz0z00,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3007]) ).
tcf(c_7428,plain,
sdtasdt0(sz0z00,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3007]) ).
tcf(c_7429,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3007]) ).
tcf(c_7430,plain,
sdtasdt0(sz0z00,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3007]) ).
tcf(c_7431,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3007]) ).
tcf(c_7433,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3007]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3007]) ).
tcf(c_7435,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3007]) ).
tcf(c_7436,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3007]) ).
tcf(c_7437,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_3007]) ).
tcf(c_7438,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_3007]) ).
tcf(c_7439,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3007]) ).
tcf(c_7440,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3007]) ).
tcf(c_7512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_7421,c_137]) ).
tcf(c_7513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_7421,c_137]) ).
tcf(c_7514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7513,c_138]) ).
tcf(c_7522,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7512,c_138]) ).
tcf(c_7532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_7422,c_137]) ).
tcf(c_7533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_7422,c_137]) ).
tcf(c_7534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7533,c_138]) ).
tcf(c_7542,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7532,c_138]) ).
tcf(c_7580,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_7423,c_137]) ).
tcf(c_7581,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_7423,c_137]) ).
tcf(c_7582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7581,c_138]) ).
tcf(c_7590,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7580,c_138]) ).
tcf(c_7600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_7424,c_137]) ).
tcf(c_7601,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_7424,c_137]) ).
tcf(c_7602,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7601,c_138]) ).
tcf(c_7610,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7600,c_138]) ).
tcf(c_7620,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_7425,c_137]) ).
tcf(c_7621,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_7425,c_137]) ).
tcf(c_7622,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7621,c_138]) ).
tcf(c_7630,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7620,c_138]) ).
tcf(c_7640,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_7426,c_137]) ).
tcf(c_7641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_7426,c_137]) ).
tcf(c_7642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7641,c_138]) ).
tcf(c_7650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7640,c_138]) ).
tcf(c_7660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_7427,c_137]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_7427,c_137]) ).
tcf(c_7662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7661,c_138]) ).
tcf(c_7670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7660,c_138]) ).
tcf(c_7680,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_7428,c_137]) ).
tcf(c_7681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_7428,c_137]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7681,c_138]) ).
tcf(c_7690,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7680,c_138]) ).
tcf(c_7713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_7429,c_137]) ).
tcf(c_7714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_7429,c_137]) ).
tcf(c_7715,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7714,c_138]) ).
tcf(c_7723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7713,c_138]) ).
tcf(c_7733,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_7430,c_137]) ).
tcf(c_7734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_7430,c_137]) ).
tcf(c_7735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7734,c_138]) ).
tcf(c_7743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7733,c_138]) ).
tcf(c_7753,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_7431,c_137]) ).
tcf(c_7754,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_7431,c_137]) ).
tcf(c_7755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7754,c_138]) ).
tcf(c_7763,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7753,c_138]) ).
tcf(c_7777,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(xN)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4056]) ).
tcf(c_7780,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7777,c_80]) ).
tcf(c_7790,plain,
( aNaturalNumber0(aDimensionOf0(xq))
| ( aDimensionOf0(xq) = sz00 )
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xq))) ),
inference(superposition,[status(thm)],[c_3382,c_133]) ).
tcf(c_7791,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0,sziznziztdt0(xq)))
| ( aDimensionOf0(xq) = sz00 )
| ( sziznziztdt0(X0) = sziznziztdt0(xq) )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ~ aVector0(sziznziztdt0(xq))
| ( aDimensionOf0(X0) != aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_3382,c_102]) ).
tcf(c_7792,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = sz00 )
| ( aDimensionOf0(sziznziztdt0(xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xq)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_3382,c_130]) ).
tcf(c_7851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7780,c_91]) ).
tcf(c_7852,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xN)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_7780,c_92]) ).
tcf(c_7853,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_7780,c_91]) ).
tcf(c_7854,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_7780,c_92]) ).
tcf(c_7856,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xN )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7854,c_80]) ).
tcf(c_7861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xN)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7852,c_138]) ).
tcf(c_7866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7853,c_80]) ).
tcf(c_7872,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7851,c_138]) ).
tcf(c_7884,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(xS)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4060]) ).
tcf(c_7888,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7884,c_78]) ).
tcf(c_7898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7888,c_91]) ).
tcf(c_7899,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xS)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_7888,c_92]) ).
tcf(c_7900,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_7888,c_91]) ).
tcf(c_7901,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_7888,c_92]) ).
tcf(c_7904,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xS )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7901,c_78]) ).
tcf(c_7909,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xS)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7899,c_138]) ).
tcf(c_7914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7900,c_78]) ).
tcf(c_7920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7898,c_138]) ).
tcf(c_7954,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(xR)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4064]) ).
tcf(c_7959,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7954,c_74]) ).
tcf(c_7969,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7959,c_91]) ).
tcf(c_7970,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xR)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_7959,c_92]) ).
tcf(c_7971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_7959,c_91]) ).
tcf(c_7972,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_7959,c_92]) ).
tcf(c_7976,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xR )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7972,c_74]) ).
tcf(c_7981,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xR)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7970,c_138]) ).
tcf(c_7986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7971,c_74]) ).
tcf(c_7992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7969,c_138]) ).
tcf(c_8004,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(xG)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4068]) ).
tcf(c_8010,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8004,c_70]) ).
tcf(c_8020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8010,c_91]) ).
tcf(c_8021,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xG)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8010,c_92]) ).
tcf(c_8022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_8010,c_91]) ).
tcf(c_8023,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_8010,c_92]) ).
tcf(c_8028,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xG )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8023,c_70]) ).
tcf(c_8033,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xG)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8021,c_138]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8022,c_70]) ).
tcf(c_8044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8020,c_138]) ).
tcf(c_8056,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(xF)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4072]) ).
tcf(c_8063,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8056,c_68]) ).
tcf(c_8073,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8063,c_91]) ).
tcf(c_8074,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xF)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8063,c_92]) ).
tcf(c_8075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_8063,c_91]) ).
tcf(c_8076,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_8063,c_92]) ).
tcf(c_8082,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xF )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8076,c_68]) ).
tcf(c_8087,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xF)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8074,c_138]) ).
tcf(c_8092,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8075,c_68]) ).
tcf(c_8098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8073,c_138]) ).
tcf(c_8121,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(xD)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4076]) ).
tcf(c_8129,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8121,c_64]) ).
tcf(c_8139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8129,c_91]) ).
tcf(c_8140,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xD)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8129,c_92]) ).
tcf(c_8141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_8129,c_91]) ).
tcf(c_8142,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_8129,c_92]) ).
tcf(c_8149,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xD )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8142,c_64]) ).
tcf(c_8154,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xD)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8140,c_138]) ).
tcf(c_8159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8141,c_64]) ).
tcf(c_8165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8139,c_138]) ).
tcf(c_8177,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(xC)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_90,c_4080]) ).
tcf(c_8186,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8177,c_62]) ).
tcf(c_8196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8186,c_91]) ).
tcf(c_8197,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xC)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8186,c_92]) ).
tcf(c_8198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_8186,c_91]) ).
tcf(c_8199,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_8186,c_92]) ).
tcf(c_8207,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xC )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8199,c_62]) ).
tcf(c_8212,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xC)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8197,c_138]) ).
tcf(c_8217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8198,c_62]) ).
tcf(c_8223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8196,c_138]) ).
tcf(c_8233,plain,
sdtpldt0(smndt0(xA),sz0z00) = smndt0(xA),
inference(superposition,[status(thm)],[c_58,c_2944]) ).
tcf(c_8234,plain,
sdtpldt0(smndt0(xB),sz0z00) = smndt0(xB),
inference(superposition,[status(thm)],[c_60,c_2944]) ).
tcf(c_8235,plain,
sdtpldt0(smndt0(xC),sz0z00) = smndt0(xC),
inference(superposition,[status(thm)],[c_62,c_2944]) ).
tcf(c_8236,plain,
sdtpldt0(smndt0(xD),sz0z00) = smndt0(xD),
inference(superposition,[status(thm)],[c_64,c_2944]) ).
tcf(c_8237,plain,
sdtpldt0(smndt0(xE),sz0z00) = smndt0(xE),
inference(superposition,[status(thm)],[c_66,c_2944]) ).
tcf(c_8238,plain,
sdtpldt0(smndt0(xF),sz0z00) = smndt0(xF),
inference(superposition,[status(thm)],[c_68,c_2944]) ).
tcf(c_8239,plain,
sdtpldt0(smndt0(xG),sz0z00) = smndt0(xG),
inference(superposition,[status(thm)],[c_70,c_2944]) ).
tcf(c_8240,plain,
sdtpldt0(smndt0(xH),sz0z00) = smndt0(xH),
inference(superposition,[status(thm)],[c_72,c_2944]) ).
tcf(c_8241,plain,
sdtpldt0(smndt0(xR),sz0z00) = smndt0(xR),
inference(superposition,[status(thm)],[c_74,c_2944]) ).
tcf(c_8242,plain,
sdtpldt0(smndt0(xP),sz0z00) = smndt0(xP),
inference(superposition,[status(thm)],[c_76,c_2944]) ).
tcf(c_8243,plain,
sdtpldt0(smndt0(xS),sz0z00) = smndt0(xS),
inference(superposition,[status(thm)],[c_78,c_2944]) ).
tcf(c_8245,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_2944]) ).
tcf(c_8246,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_2944]) ).
tcf(c_8247,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz0z00) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_2944]) ).
tcf(c_8248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_2944]) ).
tcf(c_8249,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_138,c_2944]) ).
tcf(c_8250,plain,
sdtpldt0(smndt0(smndt0(xN)),sz0z00) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_2944]) ).
tcf(c_8251,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sz0z00) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_2944]) ).
tcf(c_8252,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_2944]) ).
tcf(c_8295,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xA),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_8233,c_121]) ).
tcf(c_8296,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xA))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_8233,c_121]) ).
tcf(c_8297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8296,c_138]) ).
tcf(c_8304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xA),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8295,c_138]) ).
tcf(c_8344,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xB),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_8234,c_121]) ).
tcf(c_8345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xB))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_8234,c_121]) ).
tcf(c_8346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8345,c_138]) ).
tcf(c_8353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xB),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8344,c_138]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xC),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_8235,c_121]) ).
tcf(c_8365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xC))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_8235,c_121]) ).
tcf(c_8366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8365,c_138]) ).
tcf(c_8373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xC),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8364,c_138]) ).
tcf(c_8384,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xD),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_8236,c_121]) ).
tcf(c_8385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xD))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_8236,c_121]) ).
tcf(c_8386,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8385,c_138]) ).
tcf(c_8393,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xD),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8384,c_138]) ).
tcf(c_8411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xE),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_8237,c_121]) ).
tcf(c_8412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xE))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_8237,c_121]) ).
tcf(c_8413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8412,c_138]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xE),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8411,c_138]) ).
tcf(c_8450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xF),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_8238,c_121]) ).
tcf(c_8451,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xF))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_8238,c_121]) ).
tcf(c_8452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8451,c_138]) ).
tcf(c_8459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xF),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8450,c_138]) ).
tcf(c_8526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xG),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_8239,c_121]) ).
tcf(c_8527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xG))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_8239,c_121]) ).
tcf(c_8528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8527,c_138]) ).
tcf(c_8535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xG),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8526,c_138]) ).
tcf(c_8568,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xH),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_8240,c_121]) ).
tcf(c_8569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xH))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_8240,c_121]) ).
tcf(c_8570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8569,c_138]) ).
tcf(c_8577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xH),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8568,c_138]) ).
tcf(c_8588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xR),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_8241,c_121]) ).
tcf(c_8589,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xR))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_8241,c_121]) ).
tcf(c_8590,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8589,c_138]) ).
tcf(c_8597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xR),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8588,c_138]) ).
tcf(c_8608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xP),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_8242,c_121]) ).
tcf(c_8609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xP))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_8242,c_121]) ).
tcf(c_8610,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8609,c_138]) ).
tcf(c_8617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xP),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8608,c_138]) ).
tcf(c_8628,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xS),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_8243,c_121]) ).
tcf(c_8629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_8243,c_121]) ).
tcf(c_8630,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8629,c_138]) ).
tcf(c_8637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xS),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8628,c_138]) ).
tcf(c_8650,plain,
sdtpldt0(sz0z00,smndt0(xA)) = smndt0(xA),
inference(superposition,[status(thm)],[c_58,c_2965]) ).
tcf(c_8651,plain,
sdtpldt0(sz0z00,smndt0(xB)) = smndt0(xB),
inference(superposition,[status(thm)],[c_60,c_2965]) ).
tcf(c_8652,plain,
sdtpldt0(sz0z00,smndt0(xC)) = smndt0(xC),
inference(superposition,[status(thm)],[c_62,c_2965]) ).
tcf(c_8653,plain,
sdtpldt0(sz0z00,smndt0(xD)) = smndt0(xD),
inference(superposition,[status(thm)],[c_64,c_2965]) ).
tcf(c_8654,plain,
sdtpldt0(sz0z00,smndt0(xE)) = smndt0(xE),
inference(superposition,[status(thm)],[c_66,c_2965]) ).
tcf(c_8655,plain,
sdtpldt0(sz0z00,smndt0(xF)) = smndt0(xF),
inference(superposition,[status(thm)],[c_68,c_2965]) ).
tcf(c_8656,plain,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(superposition,[status(thm)],[c_70,c_2965]) ).
tcf(c_8657,plain,
sdtpldt0(sz0z00,smndt0(xH)) = smndt0(xH),
inference(superposition,[status(thm)],[c_72,c_2965]) ).
tcf(c_8658,plain,
sdtpldt0(sz0z00,smndt0(xR)) = smndt0(xR),
inference(superposition,[status(thm)],[c_74,c_2965]) ).
tcf(c_8659,plain,
sdtpldt0(sz0z00,smndt0(xP)) = smndt0(xP),
inference(superposition,[status(thm)],[c_76,c_2965]) ).
tcf(c_8660,plain,
sdtpldt0(sz0z00,smndt0(xS)) = smndt0(xS),
inference(superposition,[status(thm)],[c_78,c_2965]) ).
tcf(c_8662,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_2965]) ).
tcf(c_8663,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_2965]) ).
tcf(c_8664,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_2965]) ).
tcf(c_8665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_2965]) ).
tcf(c_8666,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_138,c_2965]) ).
tcf(c_8667,plain,
sdtpldt0(sz0z00,smndt0(smndt0(xN))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_2965]) ).
tcf(c_8668,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_2965]) ).
tcf(c_8669,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_2965]) ).
tcf(c_8705,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xA),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_8650,c_121]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xA))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_8650,c_121]) ).
tcf(c_8707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8706,c_138]) ).
tcf(c_8714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xA),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8705,c_138]) ).
tcf(c_8723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xB),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_8651,c_121]) ).
tcf(c_8724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xB))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_8651,c_121]) ).
tcf(c_8725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8724,c_138]) ).
tcf(c_8732,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xB),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8723,c_138]) ).
tcf(c_8789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xC),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_8652,c_121]) ).
tcf(c_8790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xC))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_8652,c_121]) ).
tcf(c_8791,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8790,c_138]) ).
tcf(c_8798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xC),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8789,c_138]) ).
tcf(c_8807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xD),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_8653,c_121]) ).
tcf(c_8808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xD))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_8653,c_121]) ).
tcf(c_8809,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8808,c_138]) ).
tcf(c_8816,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xD),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8807,c_138]) ).
tcf(c_8825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xE),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_8654,c_121]) ).
tcf(c_8826,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xE))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_8654,c_121]) ).
tcf(c_8827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8826,c_138]) ).
tcf(c_8834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xE),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8825,c_138]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xF),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_8655,c_121]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xF))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_8655,c_121]) ).
tcf(c_8845,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8844,c_138]) ).
tcf(c_8852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xF),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8843,c_138]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xG),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_8656,c_121]) ).
tcf(c_8862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xG))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_8656,c_121]) ).
tcf(c_8863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8862,c_138]) ).
tcf(c_8870,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xG),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8861,c_138]) ).
tcf(c_8879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xH),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_8657,c_121]) ).
tcf(c_8880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xH))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_8657,c_121]) ).
tcf(c_8881,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8880,c_138]) ).
tcf(c_8888,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xH),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8879,c_138]) ).
tcf(c_8897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xR),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_8658,c_121]) ).
tcf(c_8898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xR))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_8658,c_121]) ).
tcf(c_8899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8898,c_138]) ).
tcf(c_8906,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xR),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8897,c_138]) ).
tcf(c_8915,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xP),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_8659,c_121]) ).
tcf(c_8916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xP))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_8659,c_121]) ).
tcf(c_8917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8916,c_138]) ).
tcf(c_8924,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xP),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8915,c_138]) ).
tcf(c_8933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xS),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_8660,c_121]) ).
tcf(c_8934,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_8660,c_121]) ).
tcf(c_8935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8934,c_138]) ).
tcf(c_8942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(xS),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8933,c_138]) ).
tcf(c_8953,plain,
smndt0(smndt0(smndt0(xA))) = smndt0(xA),
inference(superposition,[status(thm)],[c_58,c_3028]) ).
tcf(c_8954,plain,
smndt0(smndt0(smndt0(xB))) = smndt0(xB),
inference(superposition,[status(thm)],[c_60,c_3028]) ).
tcf(c_8955,plain,
smndt0(smndt0(smndt0(xC))) = smndt0(xC),
inference(superposition,[status(thm)],[c_62,c_3028]) ).
tcf(c_8956,plain,
smndt0(smndt0(smndt0(xD))) = smndt0(xD),
inference(superposition,[status(thm)],[c_64,c_3028]) ).
tcf(c_8957,plain,
smndt0(smndt0(smndt0(xE))) = smndt0(xE),
inference(superposition,[status(thm)],[c_66,c_3028]) ).
tcf(c_8958,plain,
smndt0(smndt0(smndt0(xF))) = smndt0(xF),
inference(superposition,[status(thm)],[c_68,c_3028]) ).
tcf(c_8959,plain,
smndt0(smndt0(smndt0(xG))) = smndt0(xG),
inference(superposition,[status(thm)],[c_70,c_3028]) ).
tcf(c_8960,plain,
smndt0(smndt0(smndt0(xH))) = smndt0(xH),
inference(superposition,[status(thm)],[c_72,c_3028]) ).
tcf(c_8961,plain,
smndt0(smndt0(smndt0(xR))) = smndt0(xR),
inference(superposition,[status(thm)],[c_74,c_3028]) ).
tcf(c_8962,plain,
smndt0(smndt0(smndt0(xP))) = smndt0(xP),
inference(superposition,[status(thm)],[c_76,c_3028]) ).
tcf(c_8963,plain,
smndt0(smndt0(smndt0(xS))) = smndt0(xS),
inference(superposition,[status(thm)],[c_78,c_3028]) ).
tcf(c_8965,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3028]) ).
tcf(c_8966,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3028]) ).
tcf(c_8967,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(smndt0(X0)))) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3028]) ).
tcf(c_8968,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3028]) ).
tcf(c_8969,plain,
smndt0(smndt0(smndt0(sz0z00))) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_138,c_3028]) ).
tcf(c_8970,plain,
smndt0(smndt0(smndt0(smndt0(xN)))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3028]) ).
tcf(c_8971,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3028]) ).
tcf(c_8972,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3028]) ).
tcf(c_9012,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_90,c_3959]) ).
tcf(c_9014,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8186,c_3959]) ).
tcf(c_9015,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8129,c_3959]) ).
tcf(c_9016,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8063,c_3959]) ).
tcf(c_9017,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8010,c_3959]) ).
tcf(c_9018,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7959,c_3959]) ).
tcf(c_9019,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7888,c_3959]) ).
tcf(c_9020,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7780,c_3959]) ).
tcf(c_9021,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9020,c_66]) ).
tcf(c_9025,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9019,c_66]) ).
tcf(c_9029,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9018,c_66]) ).
tcf(c_9033,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9017,c_66]) ).
tcf(c_9037,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9016,c_66]) ).
tcf(c_9041,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9015,c_66]) ).
tcf(c_9045,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9014,c_66]) ).
tcf(c_9049,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9012,c_138,c_66]) ).
tcf(c_9059,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9021]) ).
tcf(c_9061,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9021]) ).
tcf(c_9062,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9021]) ).
tcf(c_9063,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9021]) ).
tcf(c_9064,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9021]) ).
tcf(c_9065,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9021]) ).
tcf(c_9066,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9021]) ).
tcf(c_9067,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9021]) ).
tcf(c_9068,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9067,c_72]) ).
tcf(c_9072,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9066,c_72]) ).
tcf(c_9076,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9065,c_72]) ).
tcf(c_9080,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9064,c_72]) ).
tcf(c_9084,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9063,c_72]) ).
tcf(c_9088,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9062,c_72]) ).
tcf(c_9092,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9061,c_72]) ).
tcf(c_9096,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9059,c_138,c_72]) ).
tcf(c_9165,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_9068,c_91]) ).
tcf(c_9166,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_9068,c_92]) ).
tcf(c_9167,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9166,c_80,c_72]) ).
tcf(c_9172,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9165,c_80,c_72]) ).
tcf(c_9185,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_9072,c_91]) ).
tcf(c_9186,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_9072,c_92]) ).
tcf(c_9187,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9186,c_78,c_72]) ).
tcf(c_9192,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9185,c_78,c_72]) ).
tcf(c_9205,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_9076,c_91]) ).
tcf(c_9206,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_9076,c_92]) ).
tcf(c_9207,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9206,c_74,c_72]) ).
tcf(c_9212,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9205,c_74,c_72]) ).
tcf(c_9225,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_9080,c_91]) ).
tcf(c_9226,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_9080,c_92]) ).
tcf(c_9227,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9226,c_72,c_70]) ).
tcf(c_9232,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9225,c_72,c_70]) ).
tcf(c_9244,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_9084,c_91]) ).
tcf(c_9245,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_9084,c_92]) ).
tcf(c_9246,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9245,c_72,c_68]) ).
tcf(c_9251,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9244,c_72,c_68]) ).
tcf(c_9269,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_9088,c_91]) ).
tcf(c_9270,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_9088,c_92]) ).
tcf(c_9271,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9270,c_72,c_64]) ).
tcf(c_9276,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9269,c_72,c_64]) ).
tcf(c_9297,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_9092,c_91]) ).
tcf(c_9298,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_9092,c_92]) ).
tcf(c_9299,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9298,c_72,c_62]) ).
tcf(c_9304,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9297,c_72,c_62]) ).
tcf(c_9361,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_9096,c_91]) ).
tcf(c_9362,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_9096,c_92]) ).
tcf(c_9363,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9362,c_138,c_72]) ).
tcf(c_9368,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9361,c_138,c_72]) ).
tcf(c_9380,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9025]) ).
tcf(c_9382,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9025]) ).
tcf(c_9383,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9025]) ).
tcf(c_9384,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9025]) ).
tcf(c_9385,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9025]) ).
tcf(c_9386,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9025]) ).
tcf(c_9387,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9025]) ).
tcf(c_9388,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9025]) ).
tcf(c_9389,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9388,c_72]) ).
tcf(c_9393,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9387,c_72]) ).
tcf(c_9397,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9386,c_72]) ).
tcf(c_9401,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9385,c_72]) ).
tcf(c_9405,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9384,c_72]) ).
tcf(c_9409,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9383,c_72]) ).
tcf(c_9413,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9382,c_72]) ).
tcf(c_9417,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9380,c_138,c_72]) ).
tcf(c_9500,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_9389,c_91]) ).
tcf(c_9501,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_9389,c_92]) ).
tcf(c_9502,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9501,c_80,c_72]) ).
tcf(c_9507,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9500,c_80,c_72]) ).
tcf(c_9543,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xs,X0))) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3095]) ).
tcf(c_9544,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xt,X0))) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3095]) ).
tcf(c_9545,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xp,X0))) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3095]) ).
tcf(c_9546,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xq,X0))) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3095]) ).
tcf(c_9547,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( smndt0(smndt0(sdtlbdtrb0(sziznziztdt0(X0),X1))) = sdtlbdtrb0(sziznziztdt0(X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3095]) ).
tcf(c_9577,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_9417,c_91]) ).
tcf(c_9578,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_9417,c_92]) ).
tcf(c_9579,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9578,c_138,c_72]) ).
tcf(c_9584,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9577,c_138,c_72]) ).
tcf(c_9596,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9049]) ).
tcf(c_9598,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9049]) ).
tcf(c_9599,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9049]) ).
tcf(c_9600,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9049]) ).
tcf(c_9601,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9049]) ).
tcf(c_9602,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9049]) ).
tcf(c_9603,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9049]) ).
tcf(c_9604,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9049]) ).
tcf(c_9605,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9604,c_72]) ).
tcf(c_9609,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9603,c_72]) ).
tcf(c_9613,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9602,c_72]) ).
tcf(c_9617,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9601,c_72]) ).
tcf(c_9621,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9600,c_72]) ).
tcf(c_9625,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9599,c_72]) ).
tcf(c_9629,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9598,c_72]) ).
tcf(c_9633,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9596,c_138,c_72]) ).
tcf(c_9649,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_9633,c_91]) ).
tcf(c_9650,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_9633,c_92]) ).
tcf(c_9651,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9650,c_138,c_72]) ).
tcf(c_9656,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9649,c_138,c_72]) ).
tcf(c_9668,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_90,c_3965]) ).
tcf(c_9670,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8186,c_3965]) ).
tcf(c_9671,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8129,c_3965]) ).
tcf(c_9672,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8063,c_3965]) ).
tcf(c_9673,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8010,c_3965]) ).
tcf(c_9674,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_7959,c_3965]) ).
tcf(c_9675,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_7888,c_3965]) ).
tcf(c_9676,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_7780,c_3965]) ).
tcf(c_9677,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_58]) ).
tcf(c_9681,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9675,c_58]) ).
tcf(c_9685,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9674,c_58]) ).
tcf(c_9689,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9673,c_58]) ).
tcf(c_9693,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9672,c_58]) ).
tcf(c_9697,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9671,c_58]) ).
tcf(c_9701,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9670,c_58]) ).
tcf(c_9705,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9668,c_138,c_58]) ).
tcf(c_9799,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_9393,c_91]) ).
tcf(c_9800,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_9393,c_92]) ).
tcf(c_9801,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9800,c_78,c_72]) ).
tcf(c_9806,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9799,c_78,c_72]) ).
tcf(c_9819,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_9397,c_91]) ).
tcf(c_9820,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_9397,c_92]) ).
tcf(c_9821,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9820,c_74,c_72]) ).
tcf(c_9826,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9819,c_74,c_72]) ).
tcf(c_9845,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_9401,c_91]) ).
tcf(c_9846,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_9401,c_92]) ).
tcf(c_9847,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9846,c_72,c_70]) ).
tcf(c_9852,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9845,c_72,c_70]) ).
tcf(c_9864,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_9405,c_91]) ).
tcf(c_9865,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_9405,c_92]) ).
tcf(c_9866,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9865,c_72,c_68]) ).
tcf(c_9871,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9864,c_72,c_68]) ).
tcf(c_9883,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_9409,c_91]) ).
tcf(c_9884,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_9409,c_92]) ).
tcf(c_9885,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9884,c_72,c_64]) ).
tcf(c_9890,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9883,c_72,c_64]) ).
tcf(c_9902,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_9413,c_91]) ).
tcf(c_9903,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_9413,c_92]) ).
tcf(c_9904,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9903,c_72,c_62]) ).
tcf(c_9909,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9902,c_72,c_62]) ).
tcf(c_9927,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_9605,c_91]) ).
tcf(c_9928,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_9605,c_92]) ).
tcf(c_9929,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9928,c_80,c_72]) ).
tcf(c_9934,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9927,c_80,c_72]) ).
tcf(c_9947,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_9609,c_91]) ).
tcf(c_9948,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_9609,c_92]) ).
tcf(c_9949,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9948,c_78,c_72]) ).
tcf(c_9954,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9947,c_78,c_72]) ).
tcf(c_9967,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_9613,c_91]) ).
tcf(c_9968,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_9613,c_92]) ).
tcf(c_9969,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9968,c_74,c_72]) ).
tcf(c_9974,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9967,c_74,c_72]) ).
tcf(c_9987,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_9617,c_91]) ).
tcf(c_9988,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_9617,c_92]) ).
tcf(c_9989,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9988,c_72,c_70]) ).
tcf(c_9994,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9987,c_72,c_70]) ).
tcf(c_10012,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_9621,c_91]) ).
tcf(c_10013,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_9621,c_92]) ).
tcf(c_10014,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10013,c_72,c_68]) ).
tcf(c_10019,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10012,c_72,c_68]) ).
tcf(c_10031,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_9625,c_91]) ).
tcf(c_10032,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_9625,c_92]) ).
tcf(c_10033,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10032,c_72,c_64]) ).
tcf(c_10038,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10031,c_72,c_64]) ).
tcf(c_10050,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,X0)) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3096]) ).
tcf(c_10051,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,X0)) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3096]) ).
tcf(c_10052,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,X0)) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3096]) ).
tcf(c_10053,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,X0)) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3096]) ).
tcf(c_10054,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(sziznziztdt0(X0),X1)) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3096]) ).
tcf(c_10089,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9705]) ).
tcf(c_10091,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9705]) ).
tcf(c_10092,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9705]) ).
tcf(c_10093,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9705]) ).
tcf(c_10094,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9705]) ).
tcf(c_10095,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9705]) ).
tcf(c_10096,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9705]) ).
tcf(c_10097,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9705]) ).
tcf(c_10098,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10097,c_60]) ).
tcf(c_10102,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10096,c_60]) ).
tcf(c_10106,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10095,c_60]) ).
tcf(c_10110,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10094,c_60]) ).
tcf(c_10114,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10093,c_60]) ).
tcf(c_10118,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10092,c_60]) ).
tcf(c_10122,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10091,c_60]) ).
tcf(c_10126,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10089,c_138,c_60]) ).
tcf(c_10136,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10126,c_91]) ).
tcf(c_10137,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_10126,c_92]) ).
tcf(c_10138,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10137,c_138,c_60]) ).
tcf(c_10143,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10136,c_138,c_60]) ).
tcf(c_10153,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,aDimensionOf0(X0)) = sdtlbdtrb0(xq,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_4176]) ).
tcf(c_10154,plain,
sdtlbdtrb0(xt,sz00) = sdtlbdtrb0(xq,sz00),
inference(superposition,[status(thm)],[c_98,c_4176]) ).
tcf(c_10155,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xt,sK1(X0)) = sdtlbdtrb0(xq,sK1(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_4176]) ).
tcf(c_10156,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(X0)) = sdtlbdtrb0(xq,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_4176]) ).
tcf(c_10157,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2898,c_4176]) ).
tcf(c_10158,plain,
sdtlbdtrb0(xq,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_10157,c_644]) ).
tcf(c_10180,plain,
( aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_10154,c_106]) ).
tcf(c_10181,plain,
aScalar0(sdtlbdtrb0(xt,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10180,c_98,c_56]) ).
tcf(c_10182,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3028]) ).
tcf(c_10183,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_2965]) ).
tcf(c_10184,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_2944]) ).
tcf(c_10185,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_3007]) ).
tcf(c_10186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X1),sdtasdt0(sdtlbdtrb0(xt,sz00),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_122]) ).
tcf(c_10187,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_2986]) ).
tcf(c_10188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_124]) ).
tcf(c_10189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0),sdtasdt0(sdtlbdtrb0(xt,sz00),X1)) = sdtasdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_123]) ).
tcf(c_10190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,sz00),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_127]) ).
tcf(c_10191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,sz00),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_125]) ).
tcf(c_10192,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_109]) ).
tcf(c_10193,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_108]) ).
tcf(c_10194,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10181,c_107]) ).
tcf(c_10195,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_115]) ).
tcf(c_10196,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_114]) ).
tcf(c_10197,plain,
smndt0(smndt0(sdtlbdtrb0(xt,sz00))) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_10181,c_116]) ).
tcf(c_10198,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_113]) ).
tcf(c_10199,plain,
sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_112]) ).
tcf(c_10200,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_10181,c_111]) ).
tcf(c_10201,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),sz0z00) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_10181,c_110]) ).
tcf(c_10311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(superposition,[status(thm)],[c_10198,c_137]) ).
tcf(c_10312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(superposition,[status(thm)],[c_10198,c_137]) ).
tcf(c_10313,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10312,c_138,c_10181]) ).
tcf(c_10320,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10311,c_138,c_10181]) ).
tcf(c_10329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(superposition,[status(thm)],[c_10199,c_137]) ).
tcf(c_10330,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(superposition,[status(thm)],[c_10199,c_137]) ).
tcf(c_10331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10330,c_138,c_10181]) ).
tcf(c_10338,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10329,c_138,c_3316,c_10181]) ).
tcf(c_10350,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_9629,c_91]) ).
tcf(c_10351,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_9629,c_92]) ).
tcf(c_10352,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10351,c_72,c_62]) ).
tcf(c_10357,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10350,c_72,c_62]) ).
tcf(c_10369,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_10098,c_91]) ).
tcf(c_10370,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_10098,c_92]) ).
tcf(c_10371,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10370,c_80,c_60]) ).
tcf(c_10376,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10369,c_80,c_60]) ).
tcf(c_10389,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_10102,c_91]) ).
tcf(c_10390,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_10102,c_92]) ).
tcf(c_10391,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10390,c_78,c_60]) ).
tcf(c_10396,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10389,c_78,c_60]) ).
tcf(c_10409,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_10106,c_91]) ).
tcf(c_10410,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_10106,c_92]) ).
tcf(c_10411,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10410,c_74,c_60]) ).
tcf(c_10416,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10409,c_74,c_60]) ).
tcf(c_10435,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_10110,c_91]) ).
tcf(c_10436,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_10110,c_92]) ).
tcf(c_10437,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10436,c_70,c_60]) ).
tcf(c_10442,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10435,c_70,c_60]) ).
tcf(c_10454,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_10114,c_91]) ).
tcf(c_10455,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_10114,c_92]) ).
tcf(c_10456,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10455,c_68,c_60]) ).
tcf(c_10461,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10454,c_68,c_60]) ).
tcf(c_10473,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_10118,c_91]) ).
tcf(c_10474,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_10118,c_92]) ).
tcf(c_10475,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10474,c_64,c_60]) ).
tcf(c_10480,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10473,c_64,c_60]) ).
tcf(c_10492,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_10122,c_91]) ).
tcf(c_10493,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_10122,c_92]) ).
tcf(c_10494,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10493,c_62,c_60]) ).
tcf(c_10499,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10492,c_62,c_60]) ).
tcf(c_10515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(superposition,[status(thm)],[c_10200,c_121]) ).
tcf(c_10516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,sz00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(superposition,[status(thm)],[c_10200,c_121]) ).
tcf(c_10517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,sz00))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10516,c_138,c_10181]) ).
tcf(c_10523,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10515,c_138,c_10181]) ).
tcf(c_10533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(superposition,[status(thm)],[c_10201,c_121]) ).
tcf(c_10534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,sz00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(superposition,[status(thm)],[c_10201,c_121]) ).
tcf(c_10535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,sz00))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10534,c_138,c_10181]) ).
tcf(c_10541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,sz00),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10533,c_138,c_10181]) ).
tcf(c_10551,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,aDimensionOf0(X0)) = sdtlbdtrb0(xp,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_4180]) ).
tcf(c_10552,plain,
sdtlbdtrb0(xs,sz00) = sdtlbdtrb0(xp,sz00),
inference(superposition,[status(thm)],[c_98,c_4180]) ).
tcf(c_10553,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xs,sK1(X0)) = sdtlbdtrb0(xp,sK1(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_4180]) ).
tcf(c_10554,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(X0)) = sdtlbdtrb0(xp,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_4180]) ).
tcf(c_10555,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2898,c_4180]) ).
tcf(c_10556,plain,
sdtlbdtrb0(xp,aDimensionOf0(xs)) = xA,
inference(light_normalisation,[status(thm)],[c_10555,c_59]) ).
tcf(c_10574,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_10552,c_106]) ).
tcf(c_10575,plain,
aScalar0(sdtlbdtrb0(xs,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10574,c_98,c_54]) ).
tcf(c_10576,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3028]) ).
tcf(c_10577,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_2965]) ).
tcf(c_10578,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_2944]) ).
tcf(c_10579,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_3007]) ).
tcf(c_10580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X1),sdtasdt0(sdtlbdtrb0(xs,sz00),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_122]) ).
tcf(c_10581,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_2986]) ).
tcf(c_10582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_124]) ).
tcf(c_10583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0),sdtasdt0(sdtlbdtrb0(xs,sz00),X1)) = sdtasdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_123]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,sz00),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_127]) ).
tcf(c_10585,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,sz00),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_125]) ).
tcf(c_10586,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_109]) ).
tcf(c_10587,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_108]) ).
tcf(c_10588,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10575,c_107]) ).
tcf(c_10589,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_115]) ).
tcf(c_10590,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_114]) ).
tcf(c_10591,plain,
smndt0(smndt0(sdtlbdtrb0(xs,sz00))) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_10575,c_116]) ).
tcf(c_10592,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_113]) ).
tcf(c_10593,plain,
sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_112]) ).
tcf(c_10594,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_10575,c_111]) ).
tcf(c_10595,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_10575,c_110]) ).
tcf(c_10646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(superposition,[status(thm)],[c_10592,c_137]) ).
tcf(c_10647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(superposition,[status(thm)],[c_10592,c_137]) ).
tcf(c_10648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10647,c_138,c_10575]) ).
tcf(c_10655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10646,c_138,c_10575]) ).
tcf(c_10664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(superposition,[status(thm)],[c_10593,c_137]) ).
tcf(c_10665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(superposition,[status(thm)],[c_10593,c_137]) ).
tcf(c_10666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10665,c_138,c_10575]) ).
tcf(c_10673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10664,c_138,c_3316,c_10575]) ).
tcf(c_10681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10185,c_137]) ).
tcf(c_10682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10185,c_137]) ).
tcf(c_10683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10682,c_138]) ).
tcf(c_10691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10681,c_138]) ).
tcf(c_10701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10187,c_137]) ).
tcf(c_10702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10187,c_137]) ).
tcf(c_10703,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10702,c_138]) ).
tcf(c_10711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10701,c_138,c_3316]) ).
tcf(c_10726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10579,c_137]) ).
tcf(c_10727,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10579,c_137]) ).
tcf(c_10728,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10727,c_138]) ).
tcf(c_10736,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10726,c_138]) ).
tcf(c_10746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10581,c_137]) ).
tcf(c_10747,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10581,c_137]) ).
tcf(c_10748,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10747,c_138]) ).
tcf(c_10756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10746,c_138,c_3316]) ).
tcf(c_10769,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9029]) ).
tcf(c_10771,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9029]) ).
tcf(c_10772,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9029]) ).
tcf(c_10773,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9029]) ).
tcf(c_10774,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9029]) ).
tcf(c_10775,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9029]) ).
tcf(c_10776,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9029]) ).
tcf(c_10777,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9029]) ).
tcf(c_10778,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10777,c_72]) ).
tcf(c_10782,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10776,c_72]) ).
tcf(c_10786,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10775,c_72]) ).
tcf(c_10790,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10774,c_72]) ).
tcf(c_10794,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10773,c_72]) ).
tcf(c_10798,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10772,c_72]) ).
tcf(c_10802,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10771,c_72]) ).
tcf(c_10806,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10769,c_138,c_72]) ).
tcf(c_10887,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_10778,c_91]) ).
tcf(c_10888,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_10778,c_92]) ).
tcf(c_10889,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10888,c_80,c_72]) ).
tcf(c_10894,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10887,c_80,c_72]) ).
tcf(c_10907,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_10782,c_91]) ).
tcf(c_10908,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_10782,c_92]) ).
tcf(c_10909,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10908,c_78,c_72]) ).
tcf(c_10914,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10907,c_78,c_72]) ).
tcf(c_10923,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10183,c_121]) ).
tcf(c_10924,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10183,c_121]) ).
tcf(c_10925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10924,c_138]) ).
tcf(c_10932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10923,c_138]) ).
tcf(c_10953,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10806,c_91]) ).
tcf(c_10954,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_10806,c_92]) ).
tcf(c_10955,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10954,c_138,c_72]) ).
tcf(c_10960,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10953,c_138,c_72]) ).
tcf(c_10969,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(superposition,[status(thm)],[c_10594,c_121]) ).
tcf(c_10970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,sz00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(superposition,[status(thm)],[c_10594,c_121]) ).
tcf(c_10971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,sz00))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10970,c_138,c_10575]) ).
tcf(c_10977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10969,c_138,c_10575]) ).
tcf(c_10987,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(superposition,[status(thm)],[c_10595,c_121]) ).
tcf(c_10988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,sz00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(superposition,[status(thm)],[c_10595,c_121]) ).
tcf(c_10989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,sz00))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10988,c_138,c_10575]) ).
tcf(c_10995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,sz00),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10987,c_138,c_10575]) ).
tcf(c_11007,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_10786,c_91]) ).
tcf(c_11008,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_10786,c_92]) ).
tcf(c_11009,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11008,c_74,c_72]) ).
tcf(c_11014,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11007,c_74,c_72]) ).
tcf(c_11033,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_10790,c_91]) ).
tcf(c_11034,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_10790,c_92]) ).
tcf(c_11035,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11034,c_72,c_70]) ).
tcf(c_11040,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11033,c_72,c_70]) ).
tcf(c_11052,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_10794,c_91]) ).
tcf(c_11053,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_10794,c_92]) ).
tcf(c_11054,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_72,c_68]) ).
tcf(c_11059,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11052,c_72,c_68]) ).
tcf(c_11071,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_10798,c_91]) ).
tcf(c_11072,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_10798,c_92]) ).
tcf(c_11073,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11072,c_72,c_64]) ).
tcf(c_11078,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11071,c_72,c_64]) ).
tcf(c_11090,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_10802,c_91]) ).
tcf(c_11091,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_10802,c_92]) ).
tcf(c_11092,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11091,c_72,c_62]) ).
tcf(c_11097,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11090,c_72,c_62]) ).
tcf(c_11281,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9033]) ).
tcf(c_11283,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9033]) ).
tcf(c_11284,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9033]) ).
tcf(c_11285,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9033]) ).
tcf(c_11286,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9033]) ).
tcf(c_11287,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9033]) ).
tcf(c_11288,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9033]) ).
tcf(c_11289,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9033]) ).
tcf(c_11290,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11289,c_72]) ).
tcf(c_11294,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11288,c_72]) ).
tcf(c_11298,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11287,c_72]) ).
tcf(c_11302,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11286,c_72]) ).
tcf(c_11306,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11285,c_72]) ).
tcf(c_11310,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11284,c_72]) ).
tcf(c_11314,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11283,c_72]) ).
tcf(c_11318,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11281,c_138,c_72]) ).
tcf(c_11330,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_11290,c_91]) ).
tcf(c_11331,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_11290,c_92]) ).
tcf(c_11332,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11331,c_80,c_72]) ).
tcf(c_11337,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11330,c_80,c_72]) ).
tcf(c_11357,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_11294,c_91]) ).
tcf(c_11358,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_11294,c_92]) ).
tcf(c_11359,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11358,c_78,c_72]) ).
tcf(c_11364,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11357,c_78,c_72]) ).
tcf(c_11377,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_11298,c_91]) ).
tcf(c_11378,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_11298,c_92]) ).
tcf(c_11379,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11378,c_74,c_72]) ).
tcf(c_11384,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11377,c_74,c_72]) ).
tcf(c_11397,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_11302,c_91]) ).
tcf(c_11398,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_11302,c_92]) ).
tcf(c_11399,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11398,c_72,c_70]) ).
tcf(c_11404,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11397,c_72,c_70]) ).
tcf(c_11416,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_11306,c_91]) ).
tcf(c_11417,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_11306,c_92]) ).
tcf(c_11418,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11417,c_72,c_68]) ).
tcf(c_11423,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11416,c_72,c_68]) ).
tcf(c_11443,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_11310,c_91]) ).
tcf(c_11444,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_11310,c_92]) ).
tcf(c_11445,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11444,c_72,c_64]) ).
tcf(c_11450,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11443,c_72,c_64]) ).
tcf(c_11458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10184,c_121]) ).
tcf(c_11459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10184,c_121]) ).
tcf(c_11460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11459,c_138]) ).
tcf(c_11467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11458,c_138]) ).
tcf(c_11480,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_11318,c_91]) ).
tcf(c_11481,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11318,c_92]) ).
tcf(c_11482,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11481,c_138,c_72]) ).
tcf(c_11487,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11480,c_138,c_72]) ).
tcf(c_11582,plain,
sdtasdt0(sz0z00,sdtasasdt0(xs,xs)) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_4495]) ).
tcf(c_11583,plain,
sdtasdt0(sz0z00,sdtasasdt0(xt,xt)) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_4495]) ).
tcf(c_11584,plain,
sdtasdt0(sz0z00,sdtasasdt0(xp,xp)) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_4495]) ).
tcf(c_11585,plain,
sdtasdt0(sz0z00,sdtasasdt0(xq,xq)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_4495]) ).
tcf(c_11586,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_4495]) ).
tcf(c_11595,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sdtasasdt0(xs,xs),X0) ),
inference(superposition,[status(thm)],[c_11582,c_137]) ).
tcf(c_11596,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(X0,sdtasasdt0(xs,xs)) ),
inference(superposition,[status(thm)],[c_11582,c_137]) ).
tcf(c_11597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(X0,sdtasasdt0(xs,xs)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11596,c_138]) ).
tcf(c_11605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sdtasasdt0(xs,xs),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11595,c_138]) ).
tcf(c_11616,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sdtasasdt0(xt,xt),X0) ),
inference(superposition,[status(thm)],[c_11583,c_137]) ).
tcf(c_11617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(X0,sdtasasdt0(xt,xt)) ),
inference(superposition,[status(thm)],[c_11583,c_137]) ).
tcf(c_11618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(X0,sdtasasdt0(xt,xt)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11617,c_138]) ).
tcf(c_11626,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sdtasasdt0(xt,xt),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_138]) ).
tcf(c_11641,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_11314,c_91]) ).
tcf(c_11642,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_11314,c_92]) ).
tcf(c_11643,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11642,c_72,c_62]) ).
tcf(c_11648,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11641,c_72,c_62]) ).
tcf(c_11660,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9037]) ).
tcf(c_11662,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9037]) ).
tcf(c_11663,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9037]) ).
tcf(c_11664,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9037]) ).
tcf(c_11665,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9037]) ).
tcf(c_11666,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9037]) ).
tcf(c_11667,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9037]) ).
tcf(c_11668,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9037]) ).
tcf(c_11669,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11668,c_72]) ).
tcf(c_11673,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11667,c_72]) ).
tcf(c_11677,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11666,c_72]) ).
tcf(c_11681,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11665,c_72]) ).
tcf(c_11685,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11664,c_72]) ).
tcf(c_11689,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11663,c_72]) ).
tcf(c_11693,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11662,c_72]) ).
tcf(c_11697,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11660,c_138,c_72]) ).
tcf(c_11707,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_11669,c_91]) ).
tcf(c_11708,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_11669,c_92]) ).
tcf(c_11709,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11708,c_80,c_72]) ).
tcf(c_11714,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11707,c_80,c_72]) ).
tcf(c_11748,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_11673,c_91]) ).
tcf(c_11749,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_11673,c_92]) ).
tcf(c_11750,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11749,c_78,c_72]) ).
tcf(c_11755,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11748,c_78,c_72]) ).
tcf(c_11768,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_11677,c_91]) ).
tcf(c_11769,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_11677,c_92]) ).
tcf(c_11770,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11769,c_74,c_72]) ).
tcf(c_11775,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11768,c_74,c_72]) ).
tcf(c_11801,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_11681,c_91]) ).
tcf(c_11802,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_11681,c_92]) ).
tcf(c_11803,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11802,c_72,c_70]) ).
tcf(c_11808,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11801,c_72,c_70]) ).
tcf(c_11820,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_11685,c_91]) ).
tcf(c_11821,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_11685,c_92]) ).
tcf(c_11822,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11821,c_72,c_68]) ).
tcf(c_11827,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11820,c_72,c_68]) ).
tcf(c_11839,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_11689,c_91]) ).
tcf(c_11840,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_11689,c_92]) ).
tcf(c_11841,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11840,c_72,c_64]) ).
tcf(c_11846,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11839,c_72,c_64]) ).
tcf(c_11858,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_11693,c_91]) ).
tcf(c_11859,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_11693,c_92]) ).
tcf(c_11860,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11859,c_72,c_62]) ).
tcf(c_11865,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11858,c_72,c_62]) ).
tcf(c_11877,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_11697,c_91]) ).
tcf(c_11878,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11697,c_92]) ).
tcf(c_11879,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11878,c_138,c_72]) ).
tcf(c_11884,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11877,c_138,c_72]) ).
tcf(c_11897,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9041]) ).
tcf(c_11899,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9041]) ).
tcf(c_11900,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9041]) ).
tcf(c_11901,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9041]) ).
tcf(c_11902,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9041]) ).
tcf(c_11903,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9041]) ).
tcf(c_11904,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9041]) ).
tcf(c_11905,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9041]) ).
tcf(c_11906,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11905,c_72]) ).
tcf(c_11910,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11904,c_72]) ).
tcf(c_11914,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11903,c_72]) ).
tcf(c_11918,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11902,c_72]) ).
tcf(c_11922,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11901,c_72]) ).
tcf(c_11926,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11900,c_72]) ).
tcf(c_11930,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11899,c_72]) ).
tcf(c_11934,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11897,c_138,c_72]) ).
tcf(c_12019,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_11906,c_91]) ).
tcf(c_12020,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_11906,c_92]) ).
tcf(c_12021,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12020,c_80,c_72]) ).
tcf(c_12026,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12019,c_80,c_72]) ).
tcf(c_12035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10195,c_121]) ).
tcf(c_12036,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10195,c_121]) ).
tcf(c_12037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12036,c_10181]) ).
tcf(c_12044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12035,c_10181]) ).
tcf(c_12059,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_11934,c_91]) ).
tcf(c_12060,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11934,c_92]) ).
tcf(c_12061,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12060,c_138,c_72]) ).
tcf(c_12066,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12059,c_138,c_72]) ).
tcf(c_12076,plain,
sdtasdt0(sdtasasdt0(xs,xs),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_4496]) ).
tcf(c_12077,plain,
sdtasdt0(sdtasasdt0(xt,xt),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_4496]) ).
tcf(c_12078,plain,
sdtasdt0(sdtasasdt0(xp,xp),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_4496]) ).
tcf(c_12079,plain,
sdtasdt0(sdtasasdt0(xq,xq),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_4496]) ).
tcf(c_12080,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_4496]) ).
tcf(c_12089,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sdtasasdt0(xs,xs),X0) ),
inference(superposition,[status(thm)],[c_12076,c_137]) ).
tcf(c_12090,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(X0,sdtasasdt0(xs,xs)) ),
inference(superposition,[status(thm)],[c_12076,c_137]) ).
tcf(c_12091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(X0,sdtasasdt0(xs,xs)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12090,c_138]) ).
tcf(c_12099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sdtasasdt0(xs,xs),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12089,c_138,c_3316]) ).
tcf(c_12108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sdtasasdt0(xt,xt),X0) ),
inference(superposition,[status(thm)],[c_12077,c_137]) ).
tcf(c_12109,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(X0,sdtasasdt0(xt,xt)) ),
inference(superposition,[status(thm)],[c_12077,c_137]) ).
tcf(c_12110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(X0,sdtasasdt0(xt,xt)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12109,c_138]) ).
tcf(c_12118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sdtasasdt0(xt,xt),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12108,c_138,c_3316]) ).
tcf(c_12131,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_11910,c_91]) ).
tcf(c_12132,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_11910,c_92]) ).
tcf(c_12133,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12132,c_78,c_72]) ).
tcf(c_12138,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12131,c_78,c_72]) ).
tcf(c_12151,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_11914,c_91]) ).
tcf(c_12152,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_11914,c_92]) ).
tcf(c_12153,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12152,c_74,c_72]) ).
tcf(c_12158,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12151,c_74,c_72]) ).
tcf(c_12190,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_11918,c_91]) ).
tcf(c_12191,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_11918,c_92]) ).
tcf(c_12192,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12191,c_72,c_70]) ).
tcf(c_12197,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12190,c_72,c_70]) ).
tcf(c_12209,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_11922,c_91]) ).
tcf(c_12210,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_11922,c_92]) ).
tcf(c_12211,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12210,c_72,c_68]) ).
tcf(c_12216,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12209,c_72,c_68]) ).
tcf(c_12228,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_11926,c_91]) ).
tcf(c_12229,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_11926,c_92]) ).
tcf(c_12230,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12229,c_72,c_64]) ).
tcf(c_12235,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12228,c_72,c_64]) ).
tcf(c_12247,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_11930,c_91]) ).
tcf(c_12248,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_11930,c_92]) ).
tcf(c_12249,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12248,c_72,c_62]) ).
tcf(c_12254,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12247,c_72,c_62]) ).
tcf(c_12266,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_90,c_9045]) ).
tcf(c_12268,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8186,c_9045]) ).
tcf(c_12269,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8129,c_9045]) ).
tcf(c_12270,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8063,c_9045]) ).
tcf(c_12271,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8010,c_9045]) ).
tcf(c_12272,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7959,c_9045]) ).
tcf(c_12273,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7888,c_9045]) ).
tcf(c_12274,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_7780,c_9045]) ).
tcf(c_12275,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12274,c_72]) ).
tcf(c_12279,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12273,c_72]) ).
tcf(c_12283,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12272,c_72]) ).
tcf(c_12287,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12271,c_72]) ).
tcf(c_12291,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12270,c_72]) ).
tcf(c_12295,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12269,c_72]) ).
tcf(c_12299,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12268,c_72]) ).
tcf(c_12303,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12266,c_138,c_72]) ).
tcf(c_12380,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_12275,c_91]) ).
tcf(c_12381,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_12275,c_92]) ).
tcf(c_12382,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12381,c_80,c_72]) ).
tcf(c_12387,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12380,c_80,c_72]) ).
tcf(c_12400,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_12279,c_91]) ).
tcf(c_12401,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_12279,c_92]) ).
tcf(c_12402,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12401,c_78,c_72]) ).
tcf(c_12407,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12400,c_78,c_72]) ).
tcf(c_12432,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_12283,c_91]) ).
tcf(c_12433,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_12283,c_92]) ).
tcf(c_12434,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12433,c_74,c_72]) ).
tcf(c_12439,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12432,c_74,c_72]) ).
tcf(c_12452,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_12287,c_91]) ).
tcf(c_12453,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_12287,c_92]) ).
tcf(c_12454,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12453,c_72,c_70]) ).
tcf(c_12459,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12452,c_72,c_70]) ).
tcf(c_12471,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_12291,c_91]) ).
tcf(c_12472,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_12291,c_92]) ).
tcf(c_12473,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12472,c_72,c_68]) ).
tcf(c_12478,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12471,c_72,c_68]) ).
tcf(c_12486,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10196,c_121]) ).
tcf(c_12487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_10196,c_121]) ).
tcf(c_12488,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xt,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12487,c_10181]) ).
tcf(c_12495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12486,c_10181]) ).
tcf(c_12533,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12303,c_91]) ).
tcf(c_12534,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12303,c_92]) ).
tcf(c_12535,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12534,c_138,c_72]) ).
tcf(c_12540,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12533,c_138,c_72]) ).
tcf(c_12550,plain,
sdtasdt0(smndt0(smndt0(xA)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_6889]) ).
tcf(c_12551,plain,
sdtasdt0(smndt0(smndt0(xB)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_6889]) ).
tcf(c_12552,plain,
sdtasdt0(smndt0(smndt0(xC)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_6889]) ).
tcf(c_12553,plain,
sdtasdt0(smndt0(smndt0(xD)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_6889]) ).
tcf(c_12554,plain,
sdtasdt0(smndt0(smndt0(xE)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_6889]) ).
tcf(c_12555,plain,
sdtasdt0(smndt0(smndt0(xF)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_6889]) ).
tcf(c_12556,plain,
sdtasdt0(smndt0(smndt0(xG)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_6889]) ).
tcf(c_12557,plain,
sdtasdt0(smndt0(smndt0(xH)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_6889]) ).
tcf(c_12558,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_6889]) ).
tcf(c_12559,plain,
sdtasdt0(smndt0(smndt0(xP)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_6889]) ).
tcf(c_12560,plain,
sdtasdt0(smndt0(smndt0(xS)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_6889]) ).
tcf(c_12562,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_6889]) ).
tcf(c_12563,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6889]) ).
tcf(c_12564,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(X0))),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_6889]) ).
tcf(c_12565,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_6889]) ).
tcf(c_12566,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_6889]) ).
tcf(c_12567,plain,
sdtasdt0(smndt0(smndt0(smndt0(xN))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_6889]) ).
tcf(c_12568,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_6889]) ).
tcf(c_12569,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasasdt0(X0,X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_6889]) ).
tcf(c_12570,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_6889]) ).
tcf(c_12571,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_6889]) ).
tcf(c_12611,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xA))) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_7435]) ).
tcf(c_12612,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xB))) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_7435]) ).
tcf(c_12613,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xC))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_7435]) ).
tcf(c_12614,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xD))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_7435]) ).
tcf(c_12615,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xE))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_7435]) ).
tcf(c_12616,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xF))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_7435]) ).
tcf(c_12617,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xG))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_7435]) ).
tcf(c_12618,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xH))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_7435]) ).
tcf(c_12619,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_7435]) ).
tcf(c_12620,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xP))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_7435]) ).
tcf(c_12621,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_7435]) ).
tcf(c_12623,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_7435]) ).
tcf(c_12624,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_7435]) ).
tcf(c_12625,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(X0)))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_7435]) ).
tcf(c_12626,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_7435]) ).
tcf(c_12627,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_7435]) ).
tcf(c_12628,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_7435]) ).
tcf(c_12629,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_7435]) ).
tcf(c_12630,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_7435]) ).
tcf(c_12631,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_7435]) ).
tcf(c_12632,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_7435]) ).
tcf(c_12722,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_10050]) ).
tcf(c_12724,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,sK1(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_10050]) ).
tcf(c_12725,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_10050]) ).
tcf(c_12726,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xs))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_10050]) ).
tcf(c_12821,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_12295,c_91]) ).
tcf(c_12822,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_12295,c_92]) ).
tcf(c_12823,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12822,c_72,c_64]) ).
tcf(c_12828,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12821,c_72,c_64]) ).
tcf(c_12840,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_12299,c_91]) ).
tcf(c_12841,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_12299,c_92]) ).
tcf(c_12842,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12841,c_72,c_62]) ).
tcf(c_12847,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12840,c_72,c_62]) ).
tcf(c_12873,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9677]) ).
tcf(c_12875,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9677]) ).
tcf(c_12876,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9677]) ).
tcf(c_12877,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9677]) ).
tcf(c_12878,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9677]) ).
tcf(c_12879,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9677]) ).
tcf(c_12880,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9677]) ).
tcf(c_12881,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9677]) ).
tcf(c_12882,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12881,c_60]) ).
tcf(c_12886,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12880,c_60]) ).
tcf(c_12890,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12879,c_60]) ).
tcf(c_12894,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12878,c_60]) ).
tcf(c_12898,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12877,c_60]) ).
tcf(c_12902,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12876,c_60]) ).
tcf(c_12906,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12875,c_60]) ).
tcf(c_12910,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12873,c_138,c_60]) ).
tcf(c_12920,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_12882,c_91]) ).
tcf(c_12921,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_12882,c_92]) ).
tcf(c_12922,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12921,c_80,c_60]) ).
tcf(c_12927,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12920,c_80,c_60]) ).
tcf(c_12940,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_12886,c_91]) ).
tcf(c_12941,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_12886,c_92]) ).
tcf(c_12942,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12941,c_78,c_60]) ).
tcf(c_12947,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12940,c_78,c_60]) ).
tcf(c_12960,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_12890,c_91]) ).
tcf(c_12961,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_12890,c_92]) ).
tcf(c_12962,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12961,c_74,c_60]) ).
tcf(c_12967,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12960,c_74,c_60]) ).
tcf(c_12980,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_12894,c_91]) ).
tcf(c_12981,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_12894,c_92]) ).
tcf(c_12982,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12981,c_70,c_60]) ).
tcf(c_12987,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12980,c_70,c_60]) ).
tcf(c_12999,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_12898,c_91]) ).
tcf(c_13000,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_12898,c_92]) ).
tcf(c_13001,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13000,c_68,c_60]) ).
tcf(c_13006,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12999,c_68,c_60]) ).
tcf(c_13018,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_12902,c_91]) ).
tcf(c_13019,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_12902,c_92]) ).
tcf(c_13020,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13019,c_64,c_60]) ).
tcf(c_13025,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13018,c_64,c_60]) ).
tcf(c_13056,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_12906,c_91]) ).
tcf(c_13057,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_12906,c_92]) ).
tcf(c_13058,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13057,c_62,c_60]) ).
tcf(c_13063,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13056,c_62,c_60]) ).
tcf(c_13075,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12910,c_91]) ).
tcf(c_13076,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_12910,c_92]) ).
tcf(c_13077,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13076,c_138,c_60]) ).
tcf(c_13082,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13075,c_138,c_60]) ).
tcf(c_13094,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9681]) ).
tcf(c_13096,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9681]) ).
tcf(c_13097,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9681]) ).
tcf(c_13098,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9681]) ).
tcf(c_13099,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9681]) ).
tcf(c_13100,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9681]) ).
tcf(c_13101,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9681]) ).
tcf(c_13102,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9681]) ).
tcf(c_13103,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13102,c_60]) ).
tcf(c_13107,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13101,c_60]) ).
tcf(c_13111,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13100,c_60]) ).
tcf(c_13115,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13099,c_60]) ).
tcf(c_13119,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13098,c_60]) ).
tcf(c_13123,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13097,c_60]) ).
tcf(c_13127,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13096,c_60]) ).
tcf(c_13131,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13094,c_138,c_60]) ).
tcf(c_13154,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_13131,c_91]) ).
tcf(c_13155,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13131,c_92]) ).
tcf(c_13156,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13155,c_138,c_60]) ).
tcf(c_13161,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13154,c_138,c_60]) ).
tcf(c_13171,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_10051]) ).
tcf(c_13173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,sK1(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_10051]) ).
tcf(c_13174,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_10051]) ).
tcf(c_13175,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xs))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_10051]) ).
tcf(c_13314,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_10052]) ).
tcf(c_13315,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_10052]) ).
tcf(c_13316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,sK1(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_10052]) ).
tcf(c_13317,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_10052]) ).
tcf(c_13318,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xs))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_10052]) ).
tcf(c_13335,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_10053]) ).
tcf(c_13336,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_10053]) ).
tcf(c_13337,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,sK1(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_10053]) ).
tcf(c_13338,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_10053]) ).
tcf(c_13339,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xs))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_10053]) ).
tcf(c_13371,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_13103,c_91]) ).
tcf(c_13372,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_13103,c_92]) ).
tcf(c_13373,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13372,c_80,c_60]) ).
tcf(c_13378,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13371,c_80,c_60]) ).
tcf(c_13391,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_13107,c_91]) ).
tcf(c_13392,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_13107,c_92]) ).
tcf(c_13393,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13392,c_78,c_60]) ).
tcf(c_13398,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13391,c_78,c_60]) ).
tcf(c_13411,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_13111,c_91]) ).
tcf(c_13412,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_13111,c_92]) ).
tcf(c_13413,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13412,c_74,c_60]) ).
tcf(c_13418,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13411,c_74,c_60]) ).
tcf(c_13431,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_13115,c_91]) ).
tcf(c_13432,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_13115,c_92]) ).
tcf(c_13433,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13432,c_70,c_60]) ).
tcf(c_13438,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13431,c_70,c_60]) ).
tcf(c_13450,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_13119,c_91]) ).
tcf(c_13451,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_13119,c_92]) ).
tcf(c_13452,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13451,c_68,c_60]) ).
tcf(c_13457,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13450,c_68,c_60]) ).
tcf(c_13477,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_13123,c_91]) ).
tcf(c_13478,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_13123,c_92]) ).
tcf(c_13479,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13478,c_64,c_60]) ).
tcf(c_13484,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_64,c_60]) ).
tcf(c_13516,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_13127,c_91]) ).
tcf(c_13517,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_13127,c_92]) ).
tcf(c_13518,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13517,c_62,c_60]) ).
tcf(c_13523,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13516,c_62,c_60]) ).
tcf(c_13535,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9685]) ).
tcf(c_13537,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9685]) ).
tcf(c_13538,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9685]) ).
tcf(c_13539,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9685]) ).
tcf(c_13540,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9685]) ).
tcf(c_13541,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9685]) ).
tcf(c_13542,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9685]) ).
tcf(c_13543,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9685]) ).
tcf(c_13544,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13543,c_60]) ).
tcf(c_13548,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13542,c_60]) ).
tcf(c_13552,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13541,c_60]) ).
tcf(c_13556,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13540,c_60]) ).
tcf(c_13560,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13539,c_60]) ).
tcf(c_13564,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13538,c_60]) ).
tcf(c_13568,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13537,c_60]) ).
tcf(c_13572,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13535,c_138,c_60]) ).
tcf(c_13582,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_13544,c_91]) ).
tcf(c_13583,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_13544,c_92]) ).
tcf(c_13584,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13583,c_80,c_60]) ).
tcf(c_13589,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13582,c_80,c_60]) ).
tcf(c_13602,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_13548,c_91]) ).
tcf(c_13603,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_13548,c_92]) ).
tcf(c_13604,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13603,c_78,c_60]) ).
tcf(c_13609,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13602,c_78,c_60]) ).
tcf(c_13622,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_13552,c_91]) ).
tcf(c_13623,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_13552,c_92]) ).
tcf(c_13624,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13623,c_74,c_60]) ).
tcf(c_13629,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13622,c_74,c_60]) ).
tcf(c_13642,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_13556,c_91]) ).
tcf(c_13643,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_13556,c_92]) ).
tcf(c_13644,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13643,c_70,c_60]) ).
tcf(c_13649,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13642,c_70,c_60]) ).
tcf(c_13664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10577,c_121]) ).
tcf(c_13665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10577,c_121]) ).
tcf(c_13666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13665,c_138]) ).
tcf(c_13673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13664,c_138]) ).
tcf(c_13688,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_13572,c_91]) ).
tcf(c_13689,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13572,c_92]) ).
tcf(c_13690,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13689,c_138,c_60]) ).
tcf(c_13695,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13688,c_138,c_60]) ).
tcf(c_13703,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10589,c_121]) ).
tcf(c_13704,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10589,c_121]) ).
tcf(c_13705,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13704,c_10575]) ).
tcf(c_13712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13703,c_10575]) ).
tcf(c_13723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10590,c_121]) ).
tcf(c_13724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10590,c_121]) ).
tcf(c_13725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,sz00))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13724,c_10575]) ).
tcf(c_13732,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,sz00),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13723,c_10575]) ).
tcf(c_13757,plain,
sdtpldt0(smndt0(xA),smndt0(smndt0(xA))) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_3146]) ).
tcf(c_13758,plain,
sdtpldt0(smndt0(xB),smndt0(smndt0(xB))) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_3146]) ).
tcf(c_13759,plain,
sdtpldt0(smndt0(xC),smndt0(smndt0(xC))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3146]) ).
tcf(c_13760,plain,
sdtpldt0(smndt0(xD),smndt0(smndt0(xD))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3146]) ).
tcf(c_13761,plain,
sdtpldt0(smndt0(xE),smndt0(smndt0(xE))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3146]) ).
tcf(c_13762,plain,
sdtpldt0(smndt0(xF),smndt0(smndt0(xF))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3146]) ).
tcf(c_13763,plain,
sdtpldt0(smndt0(xG),smndt0(smndt0(xG))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3146]) ).
tcf(c_13764,plain,
sdtpldt0(smndt0(xH),smndt0(smndt0(xH))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3146]) ).
tcf(c_13765,plain,
sdtpldt0(smndt0(xR),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3146]) ).
tcf(c_13766,plain,
sdtpldt0(smndt0(xP),smndt0(smndt0(xP))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3146]) ).
tcf(c_13767,plain,
sdtpldt0(smndt0(xS),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3146]) ).
tcf(c_13769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3146]) ).
tcf(c_13770,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),smndt0(smndt0(sdtlbdtrb0(X0,X1)))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3146]) ).
tcf(c_13771,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0)))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3146]) ).
tcf(c_13772,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3146]) ).
tcf(c_13773,plain,
sdtpldt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_3146]) ).
tcf(c_13774,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_3146]) ).
tcf(c_13775,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3146]) ).
tcf(c_13776,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),smndt0(smndt0(sdtasasdt0(X0,X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3146]) ).
tcf(c_13777,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_3146]) ).
tcf(c_13778,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_3146]) ).
tcf(c_13820,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_13560,c_91]) ).
tcf(c_13821,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_13560,c_92]) ).
tcf(c_13822,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13821,c_68,c_60]) ).
tcf(c_13827,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13820,c_68,c_60]) ).
tcf(c_13839,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_13564,c_91]) ).
tcf(c_13840,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_13564,c_92]) ).
tcf(c_13841,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13840,c_64,c_60]) ).
tcf(c_13846,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13839,c_64,c_60]) ).
tcf(c_13858,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_13568,c_91]) ).
tcf(c_13859,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_13568,c_92]) ).
tcf(c_13860,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13859,c_62,c_60]) ).
tcf(c_13865,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13858,c_62,c_60]) ).
tcf(c_13877,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9689]) ).
tcf(c_13879,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9689]) ).
tcf(c_13880,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9689]) ).
tcf(c_13881,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9689]) ).
tcf(c_13882,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9689]) ).
tcf(c_13883,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9689]) ).
tcf(c_13884,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9689]) ).
tcf(c_13885,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9689]) ).
tcf(c_13886,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13885,c_60]) ).
tcf(c_13890,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13884,c_60]) ).
tcf(c_13894,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13883,c_60]) ).
tcf(c_13898,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13882,c_60]) ).
tcf(c_13902,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13881,c_60]) ).
tcf(c_13906,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13880,c_60]) ).
tcf(c_13910,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13879,c_60]) ).
tcf(c_13914,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13877,c_138,c_60]) ).
tcf(c_13956,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_13886,c_91]) ).
tcf(c_13957,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_13886,c_92]) ).
tcf(c_13958,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13957,c_80,c_60]) ).
tcf(c_13963,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13956,c_80,c_60]) ).
tcf(c_13990,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_13890,c_91]) ).
tcf(c_13991,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_13890,c_92]) ).
tcf(c_13992,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13991,c_78,c_60]) ).
tcf(c_13997,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13990,c_78,c_60]) ).
tcf(c_14010,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_13894,c_91]) ).
tcf(c_14011,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_13894,c_92]) ).
tcf(c_14012,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14011,c_74,c_60]) ).
tcf(c_14017,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14010,c_74,c_60]) ).
tcf(c_14030,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_13898,c_91]) ).
tcf(c_14031,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_13898,c_92]) ).
tcf(c_14032,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14031,c_70,c_60]) ).
tcf(c_14037,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14030,c_70,c_60]) ).
tcf(c_14049,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_13902,c_91]) ).
tcf(c_14050,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_13902,c_92]) ).
tcf(c_14051,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14050,c_68,c_60]) ).
tcf(c_14056,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14049,c_68,c_60]) ).
tcf(c_14068,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_13906,c_91]) ).
tcf(c_14069,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_13906,c_92]) ).
tcf(c_14070,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14069,c_64,c_60]) ).
tcf(c_14075,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14068,c_64,c_60]) ).
tcf(c_14174,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_13910,c_91]) ).
tcf(c_14175,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_13910,c_92]) ).
tcf(c_14176,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14175,c_62,c_60]) ).
tcf(c_14181,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14174,c_62,c_60]) ).
tcf(c_14193,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_13914,c_91]) ).
tcf(c_14194,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13914,c_92]) ).
tcf(c_14195,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14194,c_138,c_60]) ).
tcf(c_14200,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14193,c_138,c_60]) ).
tcf(c_14208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_10578,c_121]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_10578,c_121]) ).
tcf(c_14210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14209,c_138]) ).
tcf(c_14217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14208,c_138]) ).
tcf(c_14228,plain,
sdtpldt0(smndt0(smndt0(xA)),smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_3192]) ).
tcf(c_14229,plain,
sdtpldt0(smndt0(smndt0(xB)),smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_3192]) ).
tcf(c_14230,plain,
sdtpldt0(smndt0(smndt0(xC)),smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3192]) ).
tcf(c_14231,plain,
sdtpldt0(smndt0(smndt0(xD)),smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3192]) ).
tcf(c_14232,plain,
sdtpldt0(smndt0(smndt0(xE)),smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3192]) ).
tcf(c_14233,plain,
sdtpldt0(smndt0(smndt0(xF)),smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3192]) ).
tcf(c_14234,plain,
sdtpldt0(smndt0(smndt0(xG)),smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3192]) ).
tcf(c_14235,plain,
sdtpldt0(smndt0(smndt0(xH)),smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3192]) ).
tcf(c_14236,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3192]) ).
tcf(c_14237,plain,
sdtpldt0(smndt0(smndt0(xP)),smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3192]) ).
tcf(c_14238,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3192]) ).
tcf(c_14240,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3192]) ).
tcf(c_14241,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),smndt0(sdtlbdtrb0(X0,X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3192]) ).
tcf(c_14242,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3192]) ).
tcf(c_14243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3192]) ).
tcf(c_14244,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_3192]) ).
tcf(c_14245,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_3192]) ).
tcf(c_14246,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3192]) ).
tcf(c_14247,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtasasdt0(X0,X0))),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3192]) ).
tcf(c_14248,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_3192]) ).
tcf(c_14249,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))),smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_3192]) ).
tcf(c_14295,plain,
sdtasdt0(sz0z00,smndt0(xA)) = sdtasdt0(sz0z00,xA),
inference(superposition,[status(thm)],[c_58,c_3435]) ).
tcf(c_14296,plain,
sdtasdt0(sz0z00,smndt0(xB)) = sdtasdt0(sz0z00,xB),
inference(superposition,[status(thm)],[c_60,c_3435]) ).
tcf(c_14297,plain,
sdtasdt0(sz0z00,smndt0(xC)) = sdtasdt0(sz0z00,xC),
inference(superposition,[status(thm)],[c_62,c_3435]) ).
tcf(c_14298,plain,
sdtasdt0(sz0z00,smndt0(xD)) = sdtasdt0(sz0z00,xD),
inference(superposition,[status(thm)],[c_64,c_3435]) ).
tcf(c_14299,plain,
sdtasdt0(sz0z00,smndt0(xE)) = sdtasdt0(sz0z00,xE),
inference(superposition,[status(thm)],[c_66,c_3435]) ).
tcf(c_14300,plain,
sdtasdt0(sz0z00,smndt0(xF)) = sdtasdt0(sz0z00,xF),
inference(superposition,[status(thm)],[c_68,c_3435]) ).
tcf(c_14301,plain,
sdtasdt0(sz0z00,smndt0(xG)) = sdtasdt0(sz0z00,xG),
inference(superposition,[status(thm)],[c_70,c_3435]) ).
tcf(c_14302,plain,
sdtasdt0(sz0z00,smndt0(xH)) = sdtasdt0(sz0z00,xH),
inference(superposition,[status(thm)],[c_72,c_3435]) ).
tcf(c_14303,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_74,c_3435]) ).
tcf(c_14304,plain,
sdtasdt0(sz0z00,smndt0(xP)) = sdtasdt0(sz0z00,xP),
inference(superposition,[status(thm)],[c_76,c_3435]) ).
tcf(c_14305,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_78,c_3435]) ).
tcf(c_14306,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_80,c_3435]) ).
tcf(c_14307,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1))) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3435]) ).
tcf(c_14308,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3435]) ).
tcf(c_14309,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(X0))) = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3435]) ).
tcf(c_14310,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1))) = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3435]) ).
tcf(c_14311,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3435]) ).
tcf(c_14312,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3435]) ).
tcf(c_14313,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3435]) ).
tcf(c_14314,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3435]) ).
tcf(c_14315,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3435]) ).
tcf(c_14316,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3435]) ).
tcf(c_14357,plain,
smndt0(sdtasdt0(sz0z00,xA)) = sdtasdt0(sz0z00,xA),
inference(superposition,[status(thm)],[c_58,c_3636]) ).
tcf(c_14358,plain,
smndt0(sdtasdt0(sz0z00,xB)) = sdtasdt0(sz0z00,xB),
inference(superposition,[status(thm)],[c_60,c_3636]) ).
tcf(c_14359,plain,
smndt0(sdtasdt0(sz0z00,xC)) = sdtasdt0(sz0z00,xC),
inference(superposition,[status(thm)],[c_62,c_3636]) ).
tcf(c_14360,plain,
smndt0(sdtasdt0(sz0z00,xD)) = sdtasdt0(sz0z00,xD),
inference(superposition,[status(thm)],[c_64,c_3636]) ).
tcf(c_14361,plain,
smndt0(sdtasdt0(sz0z00,xE)) = sdtasdt0(sz0z00,xE),
inference(superposition,[status(thm)],[c_66,c_3636]) ).
tcf(c_14362,plain,
smndt0(sdtasdt0(sz0z00,xF)) = sdtasdt0(sz0z00,xF),
inference(superposition,[status(thm)],[c_68,c_3636]) ).
tcf(c_14363,plain,
smndt0(sdtasdt0(sz0z00,xG)) = sdtasdt0(sz0z00,xG),
inference(superposition,[status(thm)],[c_70,c_3636]) ).
tcf(c_14364,plain,
smndt0(sdtasdt0(sz0z00,xH)) = sdtasdt0(sz0z00,xH),
inference(superposition,[status(thm)],[c_72,c_3636]) ).
tcf(c_14365,plain,
smndt0(sdtasdt0(sz0z00,xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_74,c_3636]) ).
tcf(c_14366,plain,
smndt0(sdtasdt0(sz0z00,xP)) = sdtasdt0(sz0z00,xP),
inference(superposition,[status(thm)],[c_76,c_3636]) ).
tcf(c_14367,plain,
smndt0(sdtasdt0(sz0z00,xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_78,c_3636]) ).
tcf(c_14368,plain,
smndt0(sdtasdt0(sz0z00,xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_80,c_3636]) ).
tcf(c_14369,plain,
! [X0: $i,X1: $i] :
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(X0,X1))) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3636]) ).
tcf(c_14370,plain,
! [X0: $i,X1: $i] :
( ( smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1))) = sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3636]) ).
tcf(c_14371,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,smndt0(X0))) = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3636]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i] :
( ( smndt0(sdtasdt0(sz0z00,sdtpldt0(X0,X1))) = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3636]) ).
tcf(c_14373,plain,
smndt0(sdtasdt0(sz0z00,sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3636]) ).
tcf(c_14374,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3636]) ).
tcf(c_14375,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3636]) ).
tcf(c_14376,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,sdtasasdt0(X0,X0))) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3636]) ).
tcf(c_14377,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3636]) ).
tcf(c_14378,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3636]) ).
tcf(c_14425,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_118,c_4944]) ).
tcf(c_14426,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_14425,c_78]) ).
tcf(c_14429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(superposition,[status(thm)],[c_14426,c_137]) ).
tcf(c_14430,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_14426,c_137]) ).
tcf(c_14431,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xS,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14430,c_138]) ).
tcf(c_14439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14429,c_138]) ).
tcf(c_14454,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9693]) ).
tcf(c_14456,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9693]) ).
tcf(c_14457,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9693]) ).
tcf(c_14458,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9693]) ).
tcf(c_14459,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9693]) ).
tcf(c_14460,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9693]) ).
tcf(c_14461,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9693]) ).
tcf(c_14462,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9693]) ).
tcf(c_14463,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14462,c_60]) ).
tcf(c_14467,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14461,c_60]) ).
tcf(c_14471,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14460,c_60]) ).
tcf(c_14475,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14459,c_60]) ).
tcf(c_14479,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14458,c_60]) ).
tcf(c_14483,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14457,c_60]) ).
tcf(c_14487,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14456,c_60]) ).
tcf(c_14491,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14454,c_138,c_60]) ).
tcf(c_14519,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_14463,c_91]) ).
tcf(c_14520,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_14463,c_92]) ).
tcf(c_14521,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14520,c_80,c_60]) ).
tcf(c_14526,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14519,c_80,c_60]) ).
tcf(c_14539,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_14467,c_91]) ).
tcf(c_14540,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_14467,c_92]) ).
tcf(c_14541,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14540,c_78,c_60]) ).
tcf(c_14546,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14539,c_78,c_60]) ).
tcf(c_14559,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_14471,c_91]) ).
tcf(c_14560,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_14471,c_92]) ).
tcf(c_14561,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14560,c_74,c_60]) ).
tcf(c_14566,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14559,c_74,c_60]) ).
tcf(c_14588,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_14475,c_91]) ).
tcf(c_14589,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_14475,c_92]) ).
tcf(c_14590,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14589,c_70,c_60]) ).
tcf(c_14595,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14588,c_70,c_60]) ).
tcf(c_14607,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_14479,c_91]) ).
tcf(c_14608,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_14479,c_92]) ).
tcf(c_14609,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14608,c_68,c_60]) ).
tcf(c_14614,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14607,c_68,c_60]) ).
tcf(c_14626,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_14483,c_91]) ).
tcf(c_14627,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_14483,c_92]) ).
tcf(c_14628,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14627,c_64,c_60]) ).
tcf(c_14633,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14626,c_64,c_60]) ).
tcf(c_14654,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_14487,c_91]) ).
tcf(c_14655,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_14487,c_92]) ).
tcf(c_14656,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14655,c_62,c_60]) ).
tcf(c_14661,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14654,c_62,c_60]) ).
tcf(c_14673,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_14491,c_91]) ).
tcf(c_14674,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_14491,c_92]) ).
tcf(c_14675,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14674,c_138,c_60]) ).
tcf(c_14680,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14673,c_138,c_60]) ).
tcf(c_14692,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9697]) ).
tcf(c_14694,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9697]) ).
tcf(c_14695,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9697]) ).
tcf(c_14696,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9697]) ).
tcf(c_14697,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9697]) ).
tcf(c_14698,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9697]) ).
tcf(c_14699,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9697]) ).
tcf(c_14700,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9697]) ).
tcf(c_14701,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14700,c_60]) ).
tcf(c_14705,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14699,c_60]) ).
tcf(c_14709,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14698,c_60]) ).
tcf(c_14713,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14697,c_60]) ).
tcf(c_14717,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14696,c_60]) ).
tcf(c_14721,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14695,c_60]) ).
tcf(c_14725,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14694,c_60]) ).
tcf(c_14729,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14692,c_138,c_60]) ).
tcf(c_14760,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_14701,c_91]) ).
tcf(c_14761,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_14701,c_92]) ).
tcf(c_14762,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14761,c_80,c_60]) ).
tcf(c_14767,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14760,c_80,c_60]) ).
tcf(c_14780,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,X0),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3097]) ).
tcf(c_14781,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,X0),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3097]) ).
tcf(c_14782,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xp,X0),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3097]) ).
tcf(c_14783,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xq,X0),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3097]) ).
tcf(c_14784,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtlbdtrb0(sziznziztdt0(X0),X1),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3097]) ).
tcf(c_14820,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_14729,c_91]) ).
tcf(c_14821,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_14729,c_92]) ).
tcf(c_14822,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14821,c_138,c_60]) ).
tcf(c_14827,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14820,c_138,c_60]) ).
tcf(c_14837,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14780]) ).
tcf(c_14839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xs,sK1(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14780]) ).
tcf(c_14840,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14780]) ).
tcf(c_14841,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14780]) ).
tcf(c_14944,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14781]) ).
tcf(c_14946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xt,sK1(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14781]) ).
tcf(c_14947,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14781]) ).
tcf(c_14948,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14781]) ).
tcf(c_14964,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14782]) ).
tcf(c_14965,plain,
sdtasdt0(sdtlbdtrb0(xp,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_14782]) ).
tcf(c_14966,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xp,sK1(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14782]) ).
tcf(c_14967,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14782]) ).
tcf(c_14968,plain,
sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14782]) ).
tcf(c_14987,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_14705,c_91]) ).
tcf(c_14988,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_14705,c_92]) ).
tcf(c_14989,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14988,c_78,c_60]) ).
tcf(c_14994,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14987,c_78,c_60]) ).
tcf(c_15013,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_14709,c_91]) ).
tcf(c_15014,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_14709,c_92]) ).
tcf(c_15015,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15014,c_74,c_60]) ).
tcf(c_15020,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15013,c_74,c_60]) ).
tcf(c_15033,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_14713,c_91]) ).
tcf(c_15034,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_14713,c_92]) ).
tcf(c_15035,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15034,c_70,c_60]) ).
tcf(c_15040,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15033,c_70,c_60]) ).
tcf(c_15052,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_14717,c_91]) ).
tcf(c_15053,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_14717,c_92]) ).
tcf(c_15054,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15053,c_68,c_60]) ).
tcf(c_15059,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15052,c_68,c_60]) ).
tcf(c_15071,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_14721,c_91]) ).
tcf(c_15072,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_14721,c_92]) ).
tcf(c_15073,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15072,c_64,c_60]) ).
tcf(c_15078,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15071,c_64,c_60]) ).
tcf(c_15096,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_14725,c_91]) ).
tcf(c_15097,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_14725,c_92]) ).
tcf(c_15098,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15097,c_62,c_60]) ).
tcf(c_15103,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15096,c_62,c_60]) ).
tcf(c_15115,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_90,c_9701]) ).
tcf(c_15117,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8186,c_9701]) ).
tcf(c_15118,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8129,c_9701]) ).
tcf(c_15119,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8063,c_9701]) ).
tcf(c_15120,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8010,c_9701]) ).
tcf(c_15121,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7959,c_9701]) ).
tcf(c_15122,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7888,c_9701]) ).
tcf(c_15123,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_7780,c_9701]) ).
tcf(c_15124,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15123,c_60]) ).
tcf(c_15128,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15122,c_60]) ).
tcf(c_15132,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15121,c_60]) ).
tcf(c_15136,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15120,c_60]) ).
tcf(c_15140,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15119,c_60]) ).
tcf(c_15144,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15118,c_60]) ).
tcf(c_15148,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15117,c_60]) ).
tcf(c_15152,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15115,c_138,c_60]) ).
tcf(c_15159,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_15166,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_15124,c_91]) ).
tcf(c_15167,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_15124,c_92]) ).
tcf(c_15168,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15167,c_80,c_60]) ).
tcf(c_15173,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15166,c_80,c_60]) ).
tcf(c_15208,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_15128,c_91]) ).
tcf(c_15209,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_15128,c_92]) ).
tcf(c_15210,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15209,c_78,c_60]) ).
tcf(c_15215,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15208,c_78,c_60]) ).
tcf(c_15258,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_15132,c_91]) ).
tcf(c_15259,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_15132,c_92]) ).
tcf(c_15260,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15259,c_74,c_60]) ).
tcf(c_15265,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15258,c_74,c_60]) ).
tcf(c_15287,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_15136,c_91]) ).
tcf(c_15288,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_15136,c_92]) ).
tcf(c_15289,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15288,c_70,c_60]) ).
tcf(c_15294,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15287,c_70,c_60]) ).
tcf(c_15306,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_15140,c_91]) ).
tcf(c_15307,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_15140,c_92]) ).
tcf(c_15308,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15307,c_68,c_60]) ).
tcf(c_15313,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15306,c_68,c_60]) ).
tcf(c_15325,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(xs,X0)) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3098]) ).
tcf(c_15326,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(xt,X0)) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3098]) ).
tcf(c_15327,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(xp,X0)) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3098]) ).
tcf(c_15328,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(xq,X0)) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3098]) ).
tcf(c_15329,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sz0z00,sdtlbdtrb0(sziznziztdt0(X0),X1)) = sdtlbdtrb0(sziznziztdt0(X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3098]) ).
tcf(c_15367,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_15152,c_91]) ).
tcf(c_15368,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_15152,c_92]) ).
tcf(c_15369,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15368,c_138,c_60]) ).
tcf(c_15374,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15367,c_138,c_60]) ).
tcf(c_15417,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14783]) ).
tcf(c_15418,plain,
sdtasdt0(sdtlbdtrb0(xq,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_14783]) ).
tcf(c_15419,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xq,sK1(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14783]) ).
tcf(c_15420,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(X0)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14783]) ).
tcf(c_15421,plain,
sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14783]) ).
tcf(c_15434,plain,
sdtasdt0(sdtasdt0(xS,xS),sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_4945,c_78,c_4945,c_15159]) ).
tcf(c_15438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(superposition,[status(thm)],[c_15434,c_137]) ).
tcf(c_15439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_15434,c_137]) ).
tcf(c_15440,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xS,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15439,c_138]) ).
tcf(c_15448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15438,c_138,c_3316]) ).
tcf(c_15459,plain,
sdtasdt0(smndt0(smndt0(smndt0(xA))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_12564]) ).
tcf(c_15460,plain,
sdtasdt0(smndt0(smndt0(smndt0(xB))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_12564]) ).
tcf(c_15461,plain,
sdtasdt0(smndt0(smndt0(smndt0(xC))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_12564]) ).
tcf(c_15462,plain,
sdtasdt0(smndt0(smndt0(smndt0(xD))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_12564]) ).
tcf(c_15463,plain,
sdtasdt0(smndt0(smndt0(smndt0(xE))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_12564]) ).
tcf(c_15464,plain,
sdtasdt0(smndt0(smndt0(smndt0(xF))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_12564]) ).
tcf(c_15465,plain,
sdtasdt0(smndt0(smndt0(smndt0(xG))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_12564]) ).
tcf(c_15466,plain,
sdtasdt0(smndt0(smndt0(smndt0(xH))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_12564]) ).
tcf(c_15467,plain,
sdtasdt0(smndt0(smndt0(smndt0(xR))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_12564]) ).
tcf(c_15468,plain,
sdtasdt0(smndt0(smndt0(smndt0(xP))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_12564]) ).
tcf(c_15469,plain,
sdtasdt0(smndt0(smndt0(smndt0(xS))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_12564]) ).
tcf(c_15471,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_12564]) ).
tcf(c_15472,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_12564]) ).
tcf(c_15473,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(X0)))),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_12564]) ).
tcf(c_15474,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_12564]) ).
tcf(c_15475,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_12564]) ).
tcf(c_15476,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xN)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_12564]) ).
tcf(c_15477,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_12564]) ).
tcf(c_15478,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_12564]) ).
tcf(c_15479,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_12564]) ).
tcf(c_15480,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_12564]) ).
tcf(c_15522,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_15144,c_91]) ).
tcf(c_15523,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_15144,c_92]) ).
tcf(c_15524,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15523,c_64,c_60]) ).
tcf(c_15529,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15522,c_64,c_60]) ).
tcf(c_15541,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_15148,c_91]) ).
tcf(c_15542,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_15148,c_92]) ).
tcf(c_15543,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15542,c_62,c_60]) ).
tcf(c_15548,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15541,c_62,c_60]) ).
tcf(c_15558,plain,
sdtasdt0(smndt0(sdtasasdt0(xs,xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_6894]) ).
tcf(c_15559,plain,
sdtasdt0(smndt0(sdtasasdt0(xt,xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_6894]) ).
tcf(c_15560,plain,
sdtasdt0(smndt0(sdtasasdt0(xp,xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_6894]) ).
tcf(c_15561,plain,
sdtasdt0(smndt0(sdtasasdt0(xq,xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_6894]) ).
tcf(c_15562,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_6894]) ).
tcf(c_15598,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xs,xs)),X0) ),
inference(superposition,[status(thm)],[c_15558,c_137]) ).
tcf(c_15599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xs,xs))) ),
inference(superposition,[status(thm)],[c_15558,c_137]) ).
tcf(c_15600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xs,xs))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15599,c_138]) ).
tcf(c_15608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xs,xs)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15598,c_138,c_3316]) ).
tcf(c_15617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xt,xt)),X0) ),
inference(superposition,[status(thm)],[c_15559,c_137]) ).
tcf(c_15618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xt,xt))) ),
inference(superposition,[status(thm)],[c_15559,c_137]) ).
tcf(c_15619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xt,xt))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15618,c_138]) ).
tcf(c_15627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xt,xt)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15617,c_138,c_3316]) ).
tcf(c_15638,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xs,xs))) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_7440]) ).
tcf(c_15639,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xt,xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_7440]) ).
tcf(c_15640,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xp,xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_7440]) ).
tcf(c_15641,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xq,xq))) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_7440]) ).
tcf(c_15642,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_7440]) ).
tcf(c_15651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xs,xs)),X0) ),
inference(superposition,[status(thm)],[c_15638,c_137]) ).
tcf(c_15652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xs,xs))) ),
inference(superposition,[status(thm)],[c_15638,c_137]) ).
tcf(c_15653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xs,xs))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15652,c_138]) ).
tcf(c_15661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xs)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xs,xs)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15651,c_138]) ).
tcf(c_15671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xt,xt)),X0) ),
inference(superposition,[status(thm)],[c_15639,c_137]) ).
tcf(c_15672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xt,xt))) ),
inference(superposition,[status(thm)],[c_15639,c_137]) ).
tcf(c_15673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(X0,smndt0(sdtasasdt0(xt,xt))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15672,c_138]) ).
tcf(c_15681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xt,xt)))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(xt,xt)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15671,c_138]) ).
tcf(c_15693,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xA)))) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_12625]) ).
tcf(c_15694,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xB)))) = sz0z00,
inference(superposition,[status(thm)],[c_60,c_12625]) ).
tcf(c_15695,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xC)))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_12625]) ).
tcf(c_15696,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xD)))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_12625]) ).
tcf(c_15697,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xE)))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_12625]) ).
tcf(c_15698,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xF)))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_12625]) ).
tcf(c_15699,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xG)))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_12625]) ).
tcf(c_15700,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xH)))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_12625]) ).
tcf(c_15701,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_12625]) ).
tcf(c_15702,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xP)))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_12625]) ).
tcf(c_15703,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_12625]) ).
tcf(c_15705,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_12625]) ).
tcf(c_15706,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_12625]) ).
tcf(c_15707,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(X0))))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_12625]) ).
tcf(c_15708,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_12625]) ).
tcf(c_15709,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_138,c_12625]) ).
tcf(c_15710,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3750,c_12625]) ).
tcf(c_15711,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_12625]) ).
tcf(c_15712,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasasdt0(X0,X0))))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_12625]) ).
tcf(c_15713,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_10575,c_12625]) ).
tcf(c_15714,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_10181,c_12625]) ).
tcf(c_15836,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_12722]) ).
tcf(c_15837,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_12722]) ).
tcf(c_15838,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_12722]) ).
tcf(c_15839,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_12722]) ).
tcf(c_15847,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_15837,c_137]) ).
tcf(c_15848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_15837,c_137]) ).
tcf(c_15849,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15848,c_138]) ).
tcf(c_15857,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15847,c_138]) ).
tcf(c_15867,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_15838,c_137]) ).
tcf(c_15868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_15838,c_137]) ).
tcf(c_15869,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15868,c_138]) ).
tcf(c_15877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15867,c_138]) ).
tcf(c_15897,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xs,X0),sz0z00) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3099]) ).
tcf(c_15898,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xt,X0),sz0z00) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3099]) ).
tcf(c_15899,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xp,X0),sz0z00) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3099]) ).
tcf(c_15900,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xq,X0),sz0z00) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3099]) ).
tcf(c_15901,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtlbdtrb0(sziznziztdt0(X0),X1),sz0z00) = sdtlbdtrb0(sziznziztdt0(X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3099]) ).
tcf(c_15930,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_12725]) ).
tcf(c_15931,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_12725]) ).
tcf(c_15932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sK1(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_12725]) ).
tcf(c_15933,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_12725]) ).
tcf(c_15934,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_12725]) ).
tcf(c_15960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_15931,c_137]) ).
tcf(c_15961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_15931,c_137]) ).
tcf(c_15962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15961,c_138]) ).
tcf(c_15970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15960,c_138]) ).
tcf(c_15983,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_13171]) ).
tcf(c_15984,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_13171]) ).
tcf(c_15985,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_13171]) ).
tcf(c_15986,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_13171]) ).
tcf(c_15994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_15984,c_137]) ).
tcf(c_15995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_15984,c_137]) ).
tcf(c_15996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15995,c_138]) ).
tcf(c_16004,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15994,c_138]) ).
tcf(c_16032,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_15985,c_137]) ).
tcf(c_16033,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_15985,c_137]) ).
tcf(c_16034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16033,c_138]) ).
tcf(c_16042,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16032,c_138]) ).
tcf(c_16052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_15934,c_137]) ).
tcf(c_16053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_15934,c_137]) ).
tcf(c_16054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16053,c_138]) ).
tcf(c_16062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16052,c_138]) ).
tcf(c_16074,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_13174]) ).
tcf(c_16075,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_13174]) ).
tcf(c_16076,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sK1(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_13174]) ).
tcf(c_16077,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_13174]) ).
tcf(c_16078,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_13174]) ).
tcf(c_16091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16075,c_137]) ).
tcf(c_16092,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16075,c_137]) ).
tcf(c_16093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16092,c_138]) ).
tcf(c_16101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16091,c_138]) ).
tcf(c_16111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16078,c_137]) ).
tcf(c_16112,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16078,c_137]) ).
tcf(c_16113,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16112,c_138]) ).
tcf(c_16121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16111,c_138]) ).
tcf(c_16134,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_13314]) ).
tcf(c_16135,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_13314]) ).
tcf(c_16136,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_13314]) ).
tcf(c_16137,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_13314]) ).
tcf(c_16145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16135,c_137]) ).
tcf(c_16146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16135,c_137]) ).
tcf(c_16147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16146,c_138]) ).
tcf(c_16155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16145,c_138]) ).
tcf(c_16165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16136,c_137]) ).
tcf(c_16166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16136,c_137]) ).
tcf(c_16167,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16166,c_138]) ).
tcf(c_16175,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16165,c_138]) ).
tcf(c_16205,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_13317]) ).
tcf(c_16206,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_13317]) ).
tcf(c_16207,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(sK1(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_13317]) ).
tcf(c_16208,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(szszuzczcdt0(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_13317]) ).
tcf(c_16209,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_13317]) ).
tcf(c_16222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16206,c_137]) ).
tcf(c_16223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16206,c_137]) ).
tcf(c_16224,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16223,c_138]) ).
tcf(c_16232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16222,c_138]) ).
tcf(c_16242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16209,c_137]) ).
tcf(c_16243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16209,c_137]) ).
tcf(c_16244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16243,c_138]) ).
tcf(c_16252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16242,c_138]) ).
tcf(c_16267,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_13335]) ).
tcf(c_16268,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_13335]) ).
tcf(c_16269,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_13335]) ).
tcf(c_16270,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_13335]) ).
tcf(c_16372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16268,c_137]) ).
tcf(c_16373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16268,c_137]) ).
tcf(c_16374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16373,c_138]) ).
tcf(c_16382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16372,c_138]) ).
tcf(c_16392,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16269,c_137]) ).
tcf(c_16393,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16269,c_137]) ).
tcf(c_16394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16393,c_138]) ).
tcf(c_16402,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16392,c_138]) ).
tcf(c_16414,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_13338]) ).
tcf(c_16415,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_13338]) ).
tcf(c_16416,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(sK1(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_13338]) ).
tcf(c_16417,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(szszuzczcdt0(X0)))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_13338]) ).
tcf(c_16418,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_13338]) ).
tcf(c_16431,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16415,c_137]) ).
tcf(c_16432,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16415,c_137]) ).
tcf(c_16433,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16432,c_138]) ).
tcf(c_16441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16431,c_138]) ).
tcf(c_16459,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_14837]) ).
tcf(c_16460,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_14837]) ).
tcf(c_16461,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_14837]) ).
tcf(c_16462,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_14837]) ).
tcf(c_16480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16460,c_137]) ).
tcf(c_16481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16460,c_137]) ).
tcf(c_16482,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16481,c_138]) ).
tcf(c_16490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16480,c_138,c_3316]) ).
tcf(c_16499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16461,c_137]) ).
tcf(c_16500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16461,c_137]) ).
tcf(c_16501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16500,c_138]) ).
tcf(c_16509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16499,c_138,c_3316]) ).
tcf(c_16518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16418,c_137]) ).
tcf(c_16519,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16418,c_137]) ).
tcf(c_16520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16519,c_138]) ).
tcf(c_16528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16518,c_138]) ).
tcf(c_16546,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14840]) ).
tcf(c_16547,plain,
sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_14840]) ).
tcf(c_16548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sK1(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14840]) ).
tcf(c_16549,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14840]) ).
tcf(c_16550,plain,
sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14840]) ).
tcf(c_16563,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16547,c_137]) ).
tcf(c_16564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16547,c_137]) ).
tcf(c_16565,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16564,c_138]) ).
tcf(c_16573,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16563,c_138,c_3316]) ).
tcf(c_16582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16550,c_137]) ).
tcf(c_16583,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16550,c_137]) ).
tcf(c_16584,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16583,c_138]) ).
tcf(c_16592,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16582,c_138,c_3316]) ).
tcf(c_16632,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_14944]) ).
tcf(c_16633,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_14944]) ).
tcf(c_16634,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_14944]) ).
tcf(c_16635,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_14944]) ).
tcf(c_16643,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16633,c_137]) ).
tcf(c_16644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16633,c_137]) ).
tcf(c_16645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16644,c_138]) ).
tcf(c_16653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16643,c_138,c_3316]) ).
tcf(c_16662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16634,c_137]) ).
tcf(c_16663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16634,c_137]) ).
tcf(c_16664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16663,c_138]) ).
tcf(c_16672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16662,c_138,c_3316]) ).
tcf(c_16735,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14947]) ).
tcf(c_16736,plain,
sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_14947]) ).
tcf(c_16737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sK1(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14947]) ).
tcf(c_16738,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14947]) ).
tcf(c_16739,plain,
sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14947]) ).
tcf(c_16752,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16736,c_137]) ).
tcf(c_16753,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16736,c_137]) ).
tcf(c_16754,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16753,c_138]) ).
tcf(c_16762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16752,c_138,c_3316]) ).
tcf(c_16783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16739,c_137]) ).
tcf(c_16784,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16739,c_137]) ).
tcf(c_16785,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16784,c_138]) ).
tcf(c_16793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16783,c_138,c_3316]) ).
tcf(c_16806,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xs,X0),smndt0(sdtlbdtrb0(xs,X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3145]) ).
tcf(c_16807,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xt,X0),smndt0(sdtlbdtrb0(xt,X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3145]) ).
tcf(c_16808,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xp,X0),smndt0(sdtlbdtrb0(xp,X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3145]) ).
tcf(c_16809,plain,
! [X0: $i] :
( ( sdtpldt0(sdtlbdtrb0(xq,X0),smndt0(sdtlbdtrb0(xq,X0))) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56,c_3145]) ).
tcf(c_16810,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtlbdtrb0(sziznziztdt0(X0),X1),smndt0(sdtlbdtrb0(sziznziztdt0(X0),X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3145]) ).
tcf(c_16845,plain,
sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_14964]) ).
tcf(c_16846,plain,
sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_14964]) ).
tcf(c_16847,plain,
sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_14964]) ).
tcf(c_16848,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xp,aDimensionOf0(sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_14964]) ).
tcf(c_16856,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16846,c_137]) ).
tcf(c_16857,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16846,c_137]) ).
tcf(c_16858,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16857,c_138]) ).
tcf(c_16866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16856,c_138,c_3316]) ).
tcf(c_16875,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16847,c_137]) ).
tcf(c_16876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16847,c_137]) ).
tcf(c_16877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16876,c_138]) ).
tcf(c_16885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16875,c_138,c_3316]) ).
tcf(c_16908,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_14967]) ).
tcf(c_16909,plain,
sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_14967]) ).
tcf(c_16910,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(sK1(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_14967]) ).
tcf(c_16911,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_14967]) ).
tcf(c_16912,plain,
sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_14967]) ).
tcf(c_16925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_16909,c_137]) ).
tcf(c_16926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_16909,c_137]) ).
tcf(c_16927,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16926,c_138]) ).
tcf(c_16935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16925,c_138,c_3316]) ).
tcf(c_16944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_16912,c_137]) ).
tcf(c_16945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_16912,c_137]) ).
tcf(c_16946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16945,c_138]) ).
tcf(c_16954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16944,c_138,c_3316]) ).
tcf(c_16984,plain,
sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_15417]) ).
tcf(c_16985,plain,
sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_15417]) ).
tcf(c_16986,plain,
sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_15417]) ).
tcf(c_16987,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xq,aDimensionOf0(sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_103,c_15417]) ).
tcf(c_16995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16985,c_137]) ).
tcf(c_16996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16985,c_137]) ).
tcf(c_16997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16996,c_138]) ).
tcf(c_17005,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16995,c_138,c_3316]) ).
tcf(c_17106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16986,c_137]) ).
tcf(c_17107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16986,c_137]) ).
tcf(c_17108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17107,c_138]) ).
tcf(c_17116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17106,c_138,c_3316]) ).
tcf(c_17127,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_15420]) ).
tcf(c_17128,plain,
sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_98,c_15420]) ).
tcf(c_17129,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(sK1(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_131,c_15420]) ).
tcf(c_17130,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_133,c_15420]) ).
tcf(c_17131,plain,
sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2898,c_15420]) ).
tcf(c_17144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_17128,c_137]) ).
tcf(c_17145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_17128,c_137]) ).
tcf(c_17146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17145,c_138]) ).
tcf(c_17154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17144,c_138,c_3316]) ).
tcf(c_17177,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(superposition,[status(thm)],[c_17131,c_137]) ).
tcf(c_17178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_17131,c_137]) ).
tcf(c_17179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17178,c_138]) ).
tcf(c_17187,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17177,c_138,c_3316]) ).
tcf(c_17198,plain,
sdtasdt0(smndt0(xA),smndt0(xA)) = sdtasdt0(xA,xA),
inference(superposition,[status(thm)],[c_58,c_3418]) ).
tcf(c_17199,plain,
sdtasdt0(smndt0(xA),smndt0(xB)) = sdtasdt0(xA,xB),
inference(superposition,[status(thm)],[c_60,c_3418]) ).
tcf(c_17200,plain,
sdtasdt0(smndt0(xA),smndt0(xC)) = sdtasdt0(xA,xC),
inference(superposition,[status(thm)],[c_62,c_3418]) ).
tcf(c_17201,plain,
sdtasdt0(smndt0(xA),smndt0(xD)) = sdtasdt0(xA,xD),
inference(superposition,[status(thm)],[c_64,c_3418]) ).
tcf(c_17202,plain,
sdtasdt0(smndt0(xA),smndt0(xE)) = sdtasdt0(xA,xE),
inference(superposition,[status(thm)],[c_66,c_3418]) ).
tcf(c_17203,plain,
sdtasdt0(smndt0(xA),smndt0(xF)) = sdtasdt0(xA,xF),
inference(superposition,[status(thm)],[c_68,c_3418]) ).
tcf(c_17204,plain,
sdtasdt0(smndt0(xA),smndt0(xG)) = sdtasdt0(xA,xG),
inference(superposition,[status(thm)],[c_70,c_3418]) ).
tcf(c_17205,plain,
sdtasdt0(smndt0(xA),smndt0(xH)) = sdtasdt0(xA,xH),
inference(superposition,[status(thm)],[c_72,c_3418]) ).
tcf(c_17206,plain,
sdtasdt0(smndt0(xA),smndt0(xR)) = sdtasdt0(xA,xR),
inference(superposition,[status(thm)],[c_74,c_3418]) ).
tcf(c_17207,plain,
sdtasdt0(smndt0(xA),smndt0(xP)) = sdtasdt0(xA,xP),
inference(superposition,[status(thm)],[c_76,c_3418]) ).
tcf(c_17208,plain,
sdtasdt0(smndt0(xA),smndt0(xS)) = sdtasdt0(xA,xS),
inference(superposition,[status(thm)],[c_78,c_3418]) ).
tcf(c_17209,plain,
sdtasdt0(smndt0(xA),smndt0(xN)) = sdtasdt0(xA,xN),
inference(superposition,[status(thm)],[c_80,c_3418]) ).
tcf(c_17210,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(X0,X1))) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3418]) ).
tcf(c_17211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(xA,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3418]) ).
tcf(c_17212,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(smndt0(X0))) = sdtasdt0(xA,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3418]) ).
tcf(c_17213,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(sdtpldt0(X0,X1))) = sdtasdt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3418]) ).
tcf(c_17214,plain,
sdtasdt0(smndt0(xA),smndt0(sz0z00)) = sdtasdt0(xA,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3418]) ).
tcf(c_17215,plain,
sdtasdt0(smndt0(xA),smndt0(smndt0(xN))) = sdtasdt0(xA,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3418]) ).
tcf(c_17216,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xA,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3418]) ).
tcf(c_17217,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xA,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3418]) ).
tcf(c_17218,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xA,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3418]) ).
tcf(c_17219,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xA,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3418]) ).
tcf(c_17221,plain,
sdtasdt0(smndt0(xA),smndt0(xB)) = xH,
inference(light_normalisation,[status(thm)],[c_17199,c_73]) ).
tcf(c_17222,plain,
sdtasdt0(smndt0(xA),smndt0(xA)) = xF,
inference(light_normalisation,[status(thm)],[c_17198,c_69]) ).
tcf(c_17223,plain,
sdtasdt0(smndt0(xA),xN) = sdtasdt0(xA,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_17215,c_3027]) ).
tcf(c_17262,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17221,c_120]) ).
tcf(c_17264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17221,c_137]) ).
tcf(c_17265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17221,c_137]) ).
tcf(c_17291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xA),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17222,c_137]) ).
tcf(c_17292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17222,c_137]) ).
tcf(c_17295,plain,
! [X0: $i] :
( ( smndt0(xA) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_17222,c_135]) ).
tcf(c_17319,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17200,c_120]) ).
tcf(c_17320,plain,
( aScalar0(sdtasdt0(xA,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17200,c_94]) ).
tcf(c_17321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xC),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17200,c_137]) ).
tcf(c_17322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17200,c_137]) ).
tcf(c_17349,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17201,c_120]) ).
tcf(c_17350,plain,
( aScalar0(sdtasdt0(xA,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17201,c_94]) ).
tcf(c_17351,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xD),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17201,c_137]) ).
tcf(c_17352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17201,c_137]) ).
tcf(c_17395,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17202,c_120]) ).
tcf(c_17396,plain,
( aScalar0(sdtasdt0(xA,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17202,c_94]) ).
tcf(c_17397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xE),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17202,c_137]) ).
tcf(c_17398,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xE))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17202,c_137]) ).
tcf(c_17425,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17203,c_120]) ).
tcf(c_17426,plain,
( aScalar0(sdtasdt0(xA,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17203,c_94]) ).
tcf(c_17427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xF),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17203,c_137]) ).
tcf(c_17428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17203,c_137]) ).
tcf(c_17467,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17204,c_120]) ).
tcf(c_17468,plain,
( aScalar0(sdtasdt0(xA,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17204,c_94]) ).
tcf(c_17469,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xG),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17204,c_137]) ).
tcf(c_17470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17204,c_137]) ).
tcf(c_17497,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17205,c_120]) ).
tcf(c_17498,plain,
( aScalar0(sdtasdt0(xA,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17205,c_94]) ).
tcf(c_17499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xH),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17205,c_137]) ).
tcf(c_17500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xH))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17205,c_137]) ).
tcf(c_17539,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17206,c_120]) ).
tcf(c_17540,plain,
( aScalar0(sdtasdt0(xA,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17206,c_94]) ).
tcf(c_17541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xR),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17206,c_137]) ).
tcf(c_17542,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17206,c_137]) ).
tcf(c_17569,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17207,c_120]) ).
tcf(c_17570,plain,
( aScalar0(sdtasdt0(xA,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17207,c_94]) ).
tcf(c_17571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17207,c_137]) ).
tcf(c_17572,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17207,c_137]) ).
tcf(c_17613,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17208,c_120]) ).
tcf(c_17614,plain,
( aScalar0(sdtasdt0(xA,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17208,c_94]) ).
tcf(c_17615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17208,c_137]) ).
tcf(c_17616,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17208,c_137]) ).
tcf(c_17643,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17209,c_120]) ).
tcf(c_17644,plain,
( aScalar0(sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17209,c_94]) ).
tcf(c_17645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17209,c_137]) ).
tcf(c_17646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17209,c_137]) ).
tcf(c_17647,plain,
( aScalar0(sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17644,c_3750]) ).
tcf(c_17650,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17643,c_3750]) ).
tcf(c_17655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17646,c_3750]) ).
tcf(c_17663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17645,c_3750]) ).
tcf(c_17699,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xA,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3418]) ).
tcf(c_17700,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_12625]) ).
tcf(c_17701,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_12564]) ).
tcf(c_17702,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xN))) = sdtasdt0(sz0z00,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3636]) ).
tcf(c_17703,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = sdtasdt0(sz0z00,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3435]) ).
tcf(c_17704,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xN))),smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3192]) ).
tcf(c_17705,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),smndt0(smndt0(sdtasdt0(xA,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3146]) ).
tcf(c_17706,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_7435]) ).
tcf(c_17707,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_6889]) ).
tcf(c_17708,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xN)))) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3028]) ).
tcf(c_17709,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_2965]) ).
tcf(c_17710,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),sz0z00) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_2944]) ).
tcf(c_17711,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3007]) ).
tcf(c_17712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xN),X1),sdtasdt0(sdtasdt0(xA,xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_122]) ).
tcf(c_17713,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_2986]) ).
tcf(c_17714,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_124]) ).
tcf(c_17715,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xN),X0),sdtasdt0(sdtasdt0(xA,xN),X1)) = sdtasdt0(sdtasdt0(xA,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_123]) ).
tcf(c_17716,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xN),X0),X1) = sdtasdt0(sdtasdt0(xA,xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_127]) ).
tcf(c_17717,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xN),X0),X1) = sdtpldt0(sdtasdt0(xA,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_125]) ).
tcf(c_17718,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xN)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_109]) ).
tcf(c_17719,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xN),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_108]) ).
tcf(c_17720,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xN)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xN),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_107]) ).
tcf(c_17721,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_115]) ).
tcf(c_17722,plain,
( ( sdtpldt0(sdtasdt0(xA,xN),smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_114]) ).
tcf(c_17723,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_116]) ).
tcf(c_17724,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_113]) ).
tcf(c_17725,plain,
( ( sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_112]) ).
tcf(c_17726,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xN)) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_111]) ).
tcf(c_17727,plain,
( ( sdtpldt0(sdtasdt0(xA,xN),sz0z00) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_110]) ).
tcf(c_17883,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17223,c_120]) ).
tcf(c_17884,plain,
( aScalar0(sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17223,c_94]) ).
tcf(c_17885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_17223,c_137]) ).
tcf(c_17886,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17223,c_137]) ).
tcf(c_17887,plain,
( aScalar0(sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17884,c_80]) ).
tcf(c_17890,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17883,c_80,c_3964]) ).
tcf(c_17894,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17886,c_80]) ).
tcf(c_17902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17885,c_80,c_3964]) ).
tcf(c_17915,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3418]) ).
tcf(c_17916,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_12625]) ).
tcf(c_17917,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_12564]) ).
tcf(c_17918,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3636]) ).
tcf(c_17919,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3435]) ).
tcf(c_17920,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))),smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3192]) ).
tcf(c_17921,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3146]) ).
tcf(c_17922,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_7435]) ).
tcf(c_17923,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_6889]) ).
tcf(c_17924,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3028]) ).
tcf(c_17925,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_2965]) ).
tcf(c_17926,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_2944]) ).
tcf(c_17927,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3007]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X1),sdtasdt0(sdtasdt0(xA,smndt0(xN)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,smndt0(xN)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_122]) ).
tcf(c_17929,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_2986]) ).
tcf(c_17930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,smndt0(xN)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_124]) ).
tcf(c_17931,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X0),sdtasdt0(sdtasdt0(xA,smndt0(xN)),X1)) = sdtasdt0(sdtasdt0(xA,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_123]) ).
tcf(c_17932,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X0),X1) = sdtasdt0(sdtasdt0(xA,smndt0(xN)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_127]) ).
tcf(c_17933,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,smndt0(xN)),X0),X1) = sdtpldt0(sdtasdt0(xA,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_125]) ).
tcf(c_17934,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,smndt0(xN))),X0) = smndt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_109]) ).
tcf(c_17935,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,smndt0(xN)),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_108]) ).
tcf(c_17936,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,smndt0(xN))),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,smndt0(xN)),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_107]) ).
tcf(c_17937,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),sdtasdt0(xA,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_115]) ).
tcf(c_17938,plain,
( ( sdtpldt0(sdtasdt0(xA,smndt0(xN)),smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_114]) ).
tcf(c_17939,plain,
( ( smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_116]) ).
tcf(c_17940,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_113]) ).
tcf(c_17941,plain,
( ( sdtasdt0(sdtasdt0(xA,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_112]) ).
tcf(c_17942,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,smndt0(xN))) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_111]) ).
tcf(c_17943,plain,
( ( sdtpldt0(sdtasdt0(xA,smndt0(xN)),sz0z00) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_110]) ).
tcf(c_18083,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xA,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3418]) ).
tcf(c_18084,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_12625]) ).
tcf(c_18085,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_12564]) ).
tcf(c_18086,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xC))) = sdtasdt0(sz0z00,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3636]) ).
tcf(c_18087,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = sdtasdt0(sz0z00,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3435]) ).
tcf(c_18088,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xC))),smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3192]) ).
tcf(c_18089,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),smndt0(smndt0(sdtasdt0(xA,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3146]) ).
tcf(c_18090,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_7435]) ).
tcf(c_18091,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_6889]) ).
tcf(c_18092,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xC)))) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3028]) ).
tcf(c_18093,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_2965]) ).
tcf(c_18094,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),sz0z00) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_2944]) ).
tcf(c_18095,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3007]) ).
tcf(c_18096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xC),X1),sdtasdt0(sdtasdt0(xA,xC),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xC),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_122]) ).
tcf(c_18097,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_2986]) ).
tcf(c_18098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xC),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xC),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_124]) ).
tcf(c_18099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xC),X0),sdtasdt0(sdtasdt0(xA,xC),X1)) = sdtasdt0(sdtasdt0(xA,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_123]) ).
tcf(c_18100,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xC),X0),X1) = sdtasdt0(sdtasdt0(xA,xC),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_127]) ).
tcf(c_18101,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xC),X0),X1) = sdtpldt0(sdtasdt0(xA,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_125]) ).
tcf(c_18102,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xC)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_109]) ).
tcf(c_18103,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xC),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_108]) ).
tcf(c_18104,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xC)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xC),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_107]) ).
tcf(c_18105,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),sdtasdt0(xA,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_115]) ).
tcf(c_18106,plain,
( ( sdtpldt0(sdtasdt0(xA,xC),smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_114]) ).
tcf(c_18107,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_116]) ).
tcf(c_18108,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_113]) ).
tcf(c_18109,plain,
( ( sdtasdt0(sdtasdt0(xA,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_112]) ).
tcf(c_18110,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xC)) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_111]) ).
tcf(c_18111,plain,
( ( sdtpldt0(sdtasdt0(xA,xC),sz0z00) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_110]) ).
tcf(c_19123,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xA,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3418]) ).
tcf(c_19124,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_12625]) ).
tcf(c_19125,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_12564]) ).
tcf(c_19126,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xD))) = sdtasdt0(sz0z00,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3636]) ).
tcf(c_19127,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = sdtasdt0(sz0z00,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3435]) ).
tcf(c_19128,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xD))),smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3192]) ).
tcf(c_19129,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),smndt0(smndt0(sdtasdt0(xA,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3146]) ).
tcf(c_19130,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_7435]) ).
tcf(c_19131,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_6889]) ).
tcf(c_19132,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xD)))) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3028]) ).
tcf(c_19133,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_2965]) ).
tcf(c_19134,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),sz0z00) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_2944]) ).
tcf(c_19135,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3007]) ).
tcf(c_19136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xD),X1),sdtasdt0(sdtasdt0(xA,xD),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xD),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_122]) ).
tcf(c_19137,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_2986]) ).
tcf(c_19138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xD),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xD),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_124]) ).
tcf(c_19139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xD),X0),sdtasdt0(sdtasdt0(xA,xD),X1)) = sdtasdt0(sdtasdt0(xA,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_123]) ).
tcf(c_19140,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xD),X0),X1) = sdtasdt0(sdtasdt0(xA,xD),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_127]) ).
tcf(c_19141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xD),X0),X1) = sdtpldt0(sdtasdt0(xA,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_125]) ).
tcf(c_19142,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xD)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_109]) ).
tcf(c_19143,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xD),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_108]) ).
tcf(c_19144,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xD)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xD),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_107]) ).
tcf(c_19145,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),sdtasdt0(xA,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_115]) ).
tcf(c_19146,plain,
( ( sdtpldt0(sdtasdt0(xA,xD),smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_114]) ).
tcf(c_19147,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_116]) ).
tcf(c_19148,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_113]) ).
tcf(c_19149,plain,
( ( sdtasdt0(sdtasdt0(xA,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_112]) ).
tcf(c_19150,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xD)) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_111]) ).
tcf(c_19151,plain,
( ( sdtpldt0(sdtasdt0(xA,xD),sz0z00) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_110]) ).
tcf(c_19281,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xA,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3418]) ).
tcf(c_19282,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_12625]) ).
tcf(c_19283,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_12564]) ).
tcf(c_19284,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xE))) = sdtasdt0(sz0z00,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3636]) ).
tcf(c_19285,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = sdtasdt0(sz0z00,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3435]) ).
tcf(c_19286,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xE))),smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3192]) ).
tcf(c_19287,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),smndt0(smndt0(sdtasdt0(xA,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3146]) ).
tcf(c_19288,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_7435]) ).
tcf(c_19289,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_6889]) ).
tcf(c_19290,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xE)))) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3028]) ).
tcf(c_19291,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_2965]) ).
tcf(c_19292,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),sz0z00) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_2944]) ).
tcf(c_19293,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3007]) ).
tcf(c_19294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xE),X1),sdtasdt0(sdtasdt0(xA,xE),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xE),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_122]) ).
tcf(c_19295,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_2986]) ).
tcf(c_19296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xE),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xE),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_124]) ).
tcf(c_19297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xE),X0),sdtasdt0(sdtasdt0(xA,xE),X1)) = sdtasdt0(sdtasdt0(xA,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_123]) ).
tcf(c_19298,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xE),X0),X1) = sdtasdt0(sdtasdt0(xA,xE),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_127]) ).
tcf(c_19299,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xE),X0),X1) = sdtpldt0(sdtasdt0(xA,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_125]) ).
tcf(c_19300,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xE)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_109]) ).
tcf(c_19301,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xE),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_108]) ).
tcf(c_19302,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xE)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xE),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_107]) ).
tcf(c_19303,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),sdtasdt0(xA,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_115]) ).
tcf(c_19304,plain,
( ( sdtpldt0(sdtasdt0(xA,xE),smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_114]) ).
tcf(c_19305,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_116]) ).
tcf(c_19306,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_113]) ).
tcf(c_19307,plain,
( ( sdtasdt0(sdtasdt0(xA,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_112]) ).
tcf(c_19308,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xE)) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_111]) ).
tcf(c_19309,plain,
( ( sdtpldt0(sdtasdt0(xA,xE),sz0z00) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_110]) ).
tcf(c_19450,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xA,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3418]) ).
tcf(c_19451,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_12625]) ).
tcf(c_19452,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_12564]) ).
tcf(c_19453,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xF))) = sdtasdt0(sz0z00,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3636]) ).
tcf(c_19454,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = sdtasdt0(sz0z00,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3435]) ).
tcf(c_19455,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xF))),smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3192]) ).
tcf(c_19456,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),smndt0(smndt0(sdtasdt0(xA,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3146]) ).
tcf(c_19457,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_7435]) ).
tcf(c_19458,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_6889]) ).
tcf(c_19459,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xF)))) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3028]) ).
tcf(c_19460,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_2965]) ).
tcf(c_19461,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),sz0z00) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_2944]) ).
tcf(c_19462,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3007]) ).
tcf(c_19463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xF),X1),sdtasdt0(sdtasdt0(xA,xF),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xF),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_122]) ).
tcf(c_19464,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_2986]) ).
tcf(c_19465,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xF),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xF),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_124]) ).
tcf(c_19466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xF),X0),sdtasdt0(sdtasdt0(xA,xF),X1)) = sdtasdt0(sdtasdt0(xA,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_123]) ).
tcf(c_19467,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xF),X0),X1) = sdtasdt0(sdtasdt0(xA,xF),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_127]) ).
tcf(c_19468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xF),X0),X1) = sdtpldt0(sdtasdt0(xA,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_125]) ).
tcf(c_19469,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xF)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_109]) ).
tcf(c_19470,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xF),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_108]) ).
tcf(c_19471,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xF)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xF),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_107]) ).
tcf(c_19472,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),sdtasdt0(xA,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_115]) ).
tcf(c_19473,plain,
( ( sdtpldt0(sdtasdt0(xA,xF),smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_114]) ).
tcf(c_19474,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_116]) ).
tcf(c_19475,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_113]) ).
tcf(c_19476,plain,
( ( sdtasdt0(sdtasdt0(xA,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_112]) ).
tcf(c_19477,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xF)) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_111]) ).
tcf(c_19478,plain,
( ( sdtpldt0(sdtasdt0(xA,xF),sz0z00) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_110]) ).
tcf(c_19712,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xA,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3418]) ).
tcf(c_19713,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_12625]) ).
tcf(c_19714,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_12564]) ).
tcf(c_19715,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xG))) = sdtasdt0(sz0z00,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3636]) ).
tcf(c_19716,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = sdtasdt0(sz0z00,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3435]) ).
tcf(c_19717,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xG))),smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3192]) ).
tcf(c_19718,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),smndt0(smndt0(sdtasdt0(xA,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3146]) ).
tcf(c_19719,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_7435]) ).
tcf(c_19720,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_6889]) ).
tcf(c_19721,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xG)))) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3028]) ).
tcf(c_19722,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_2965]) ).
tcf(c_19723,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),sz0z00) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_2944]) ).
tcf(c_19724,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3007]) ).
tcf(c_19725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xG),X1),sdtasdt0(sdtasdt0(xA,xG),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xG),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_122]) ).
tcf(c_19726,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_2986]) ).
tcf(c_19727,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xG),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xG),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_124]) ).
tcf(c_19728,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xG),X0),sdtasdt0(sdtasdt0(xA,xG),X1)) = sdtasdt0(sdtasdt0(xA,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_123]) ).
tcf(c_19729,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xG),X0),X1) = sdtasdt0(sdtasdt0(xA,xG),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_127]) ).
tcf(c_19730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xG),X0),X1) = sdtpldt0(sdtasdt0(xA,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_125]) ).
tcf(c_19731,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xG)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_109]) ).
tcf(c_19732,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xG),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_108]) ).
tcf(c_19733,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xG)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xG),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_107]) ).
tcf(c_19734,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),sdtasdt0(xA,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_115]) ).
tcf(c_19735,plain,
( ( sdtpldt0(sdtasdt0(xA,xG),smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_114]) ).
tcf(c_19736,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_116]) ).
tcf(c_19737,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_113]) ).
tcf(c_19738,plain,
( ( sdtasdt0(sdtasdt0(xA,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_112]) ).
tcf(c_19739,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xG)) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_111]) ).
tcf(c_19740,plain,
( ( sdtpldt0(sdtasdt0(xA,xG),sz0z00) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_110]) ).
tcf(c_20033,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_17218,c_120]) ).
tcf(c_20034,plain,
( aScalar0(sdtasdt0(xA,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_17218,c_94]) ).
tcf(c_20035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,sdtlbdtrb0(xs,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(smndt0(xA),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_17218,c_137]) ).
tcf(c_20036,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xA,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_17218,c_137]) ).
tcf(c_20069,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xA,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3418]) ).
tcf(c_20070,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_12625]) ).
tcf(c_20071,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_12564]) ).
tcf(c_20072,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xH))) = sdtasdt0(sz0z00,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3636]) ).
tcf(c_20073,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = sdtasdt0(sz0z00,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3435]) ).
tcf(c_20074,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xH))),smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3192]) ).
tcf(c_20075,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),smndt0(smndt0(sdtasdt0(xA,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3146]) ).
tcf(c_20076,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_7435]) ).
tcf(c_20077,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_6889]) ).
tcf(c_20078,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xH)))) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3028]) ).
tcf(c_20079,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_2965]) ).
tcf(c_20080,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),sz0z00) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_2944]) ).
tcf(c_20081,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3007]) ).
tcf(c_20082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xH),X1),sdtasdt0(sdtasdt0(xA,xH),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xH),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_122]) ).
tcf(c_20083,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_2986]) ).
tcf(c_20084,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xH),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xH),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_124]) ).
tcf(c_20085,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xH),X0),sdtasdt0(sdtasdt0(xA,xH),X1)) = sdtasdt0(sdtasdt0(xA,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_123]) ).
tcf(c_20086,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xH),X0),X1) = sdtasdt0(sdtasdt0(xA,xH),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_127]) ).
tcf(c_20087,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xH),X0),X1) = sdtpldt0(sdtasdt0(xA,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_125]) ).
tcf(c_20088,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xH)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_109]) ).
tcf(c_20089,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xH),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_108]) ).
tcf(c_20090,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xH)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xH),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_107]) ).
tcf(c_20091,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),sdtasdt0(xA,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_115]) ).
tcf(c_20092,plain,
( ( sdtpldt0(sdtasdt0(xA,xH),smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_114]) ).
tcf(c_20093,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_116]) ).
tcf(c_20094,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_113]) ).
tcf(c_20095,plain,
( ( sdtasdt0(sdtasdt0(xA,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_112]) ).
tcf(c_20096,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xH)) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_111]) ).
tcf(c_20097,plain,
( ( sdtpldt0(sdtasdt0(xA,xH),sz0z00) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_110]) ).
tcf(c_20333,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xA,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3418]) ).
tcf(c_20334,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_12625]) ).
tcf(c_20335,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_12564]) ).
tcf(c_20336,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xR))) = sdtasdt0(sz0z00,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3636]) ).
tcf(c_20337,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = sdtasdt0(sz0z00,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3435]) ).
tcf(c_20338,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xR))),smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3192]) ).
tcf(c_20339,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),smndt0(smndt0(sdtasdt0(xA,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3146]) ).
tcf(c_20340,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_7435]) ).
tcf(c_20341,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_6889]) ).
tcf(c_20342,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xR)))) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3028]) ).
tcf(c_20343,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_2965]) ).
tcf(c_20344,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),sz0z00) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_2944]) ).
tcf(c_20345,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3007]) ).
tcf(c_20346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xR),X1),sdtasdt0(sdtasdt0(xA,xR),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xR),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_122]) ).
tcf(c_20347,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_2986]) ).
tcf(c_20348,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xR),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xR),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_124]) ).
tcf(c_20349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xR),X0),sdtasdt0(sdtasdt0(xA,xR),X1)) = sdtasdt0(sdtasdt0(xA,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_123]) ).
tcf(c_20350,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xR),X0),X1) = sdtasdt0(sdtasdt0(xA,xR),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_127]) ).
tcf(c_20351,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xR),X0),X1) = sdtpldt0(sdtasdt0(xA,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_125]) ).
tcf(c_20352,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xR)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_109]) ).
tcf(c_20353,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xR),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_108]) ).
tcf(c_20354,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xR)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xR),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_107]) ).
tcf(c_20355,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),sdtasdt0(xA,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_115]) ).
tcf(c_20356,plain,
( ( sdtpldt0(sdtasdt0(xA,xR),smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_114]) ).
tcf(c_20357,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_116]) ).
tcf(c_20358,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_113]) ).
tcf(c_20359,plain,
( ( sdtasdt0(sdtasdt0(xA,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_112]) ).
tcf(c_20360,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xR)) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_111]) ).
tcf(c_20361,plain,
( ( sdtpldt0(sdtasdt0(xA,xR),sz0z00) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_110]) ).
tcf(c_20567,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xA,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3418]) ).
tcf(c_20568,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_12625]) ).
tcf(c_20569,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_12564]) ).
tcf(c_20570,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xP))) = sdtasdt0(sz0z00,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3636]) ).
tcf(c_20571,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = sdtasdt0(sz0z00,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3435]) ).
tcf(c_20572,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xP))),smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3192]) ).
tcf(c_20573,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),smndt0(smndt0(sdtasdt0(xA,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3146]) ).
tcf(c_20574,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_7435]) ).
tcf(c_20575,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_6889]) ).
tcf(c_20576,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xP)))) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3028]) ).
tcf(c_20577,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_2965]) ).
tcf(c_20578,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),sz0z00) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_2944]) ).
tcf(c_20579,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3007]) ).
tcf(c_20580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xP),X1),sdtasdt0(sdtasdt0(xA,xP),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xP),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_122]) ).
tcf(c_20581,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_2986]) ).
tcf(c_20582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xP),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xP),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_124]) ).
tcf(c_20583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xP),X0),sdtasdt0(sdtasdt0(xA,xP),X1)) = sdtasdt0(sdtasdt0(xA,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_123]) ).
tcf(c_20584,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xP),X0),X1) = sdtasdt0(sdtasdt0(xA,xP),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_127]) ).
tcf(c_20585,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xP),X0),X1) = sdtpldt0(sdtasdt0(xA,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_125]) ).
tcf(c_20586,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xP)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_109]) ).
tcf(c_20587,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xP),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_108]) ).
tcf(c_20588,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xP)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xP),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_107]) ).
tcf(c_20589,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),sdtasdt0(xA,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_115]) ).
tcf(c_20590,plain,
( ( sdtpldt0(sdtasdt0(xA,xP),smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_114]) ).
tcf(c_20591,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_116]) ).
tcf(c_20592,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_113]) ).
tcf(c_20593,plain,
( ( sdtasdt0(sdtasdt0(xA,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_112]) ).
tcf(c_20594,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xP)) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_111]) ).
tcf(c_20595,plain,
( ( sdtpldt0(sdtasdt0(xA,xP),sz0z00) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_110]) ).
tcf(c_20705,plain,
( aScalar0(sdtasdt0(xA,xS))
| ~ aScalar0(smndt0(xA)) ),
inference(global_subsumption_just,[status(thm)],[c_17614,c_78,c_15159,c_17614]) ).
tcf(c_20711,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xA,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3418]) ).
tcf(c_20712,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_12625]) ).
tcf(c_20713,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_12564]) ).
tcf(c_20714,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xS))) = sdtasdt0(sz0z00,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3636]) ).
tcf(c_20715,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = sdtasdt0(sz0z00,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3435]) ).
tcf(c_20716,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xS))),smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3192]) ).
tcf(c_20717,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),smndt0(smndt0(sdtasdt0(xA,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3146]) ).
tcf(c_20718,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_7435]) ).
tcf(c_20719,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_6889]) ).
tcf(c_20720,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xS)))) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3028]) ).
tcf(c_20721,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_2965]) ).
tcf(c_20722,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),sz0z00) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_2944]) ).
tcf(c_20723,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3007]) ).
tcf(c_20724,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xA,xS),X1),sdtasdt0(sdtasdt0(xA,xS),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xS),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_122]) ).
tcf(c_20725,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_2986]) ).
tcf(c_20726,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xS),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xA,xS),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_124]) ).
tcf(c_20727,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xA,xS),X0),sdtasdt0(sdtasdt0(xA,xS),X1)) = sdtasdt0(sdtasdt0(xA,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_123]) ).
tcf(c_20728,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xA,xS),X0),X1) = sdtasdt0(sdtasdt0(xA,xS),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_127]) ).
tcf(c_20729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,xS),X0),X1) = sdtpldt0(sdtasdt0(xA,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_125]) ).
tcf(c_20730,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xS)),X0) = smndt0(sdtasdt0(sdtasdt0(xA,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_109]) ).
tcf(c_20731,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xA,xS),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xA,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_108]) ).
tcf(c_20732,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xA,xS)),smndt0(X0)) = sdtasdt0(sdtasdt0(xA,xS),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_107]) ).
tcf(c_20733,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_115]) ).
tcf(c_20734,plain,
( ( sdtpldt0(sdtasdt0(xA,xS),smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_114]) ).
tcf(c_20735,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_116]) ).
tcf(c_20736,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_113]) ).
tcf(c_20737,plain,
( ( sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_112]) ).
tcf(c_20738,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xS)) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_111]) ).
tcf(c_20739,plain,
( ( sdtpldt0(sdtasdt0(xA,xS),sz0z00) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_110]) ).
tcf(c_20849,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_118,c_17724]) ).
tcf(c_20850,plain,
sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_20849,c_58]) ).
tcf(c_20853,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sdtasdt0(xA,xN),X0) ),
inference(superposition,[status(thm)],[c_20850,c_137]) ).
tcf(c_20854,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xN)) ),
inference(superposition,[status(thm)],[c_20850,c_137]) ).
tcf(c_20855,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20854,c_138]) ).
tcf(c_20863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sdtasdt0(xA,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20853,c_138]) ).
tcf(c_20875,plain,
( ( sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_118,c_17725]) ).
tcf(c_20876,plain,
sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_20875,c_58]) ).
tcf(c_20879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sdtasdt0(xA,xN),X0) ),
inference(superposition,[status(thm)],[c_20876,c_137]) ).
tcf(c_20880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xN)) ),
inference(superposition,[status(thm)],[c_20876,c_137]) ).
tcf(c_20881,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20880,c_138]) ).
tcf(c_20889,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xN))
| ~ sdtlseqdt0(sdtasdt0(xA,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20879,c_138,c_3316]) ).
tcf(c_20900,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_118,c_20736]) ).
tcf(c_20901,plain,
sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_20900,c_58]) ).
tcf(c_20904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sdtasdt0(xA,xS),X0) ),
inference(superposition,[status(thm)],[c_20901,c_137]) ).
tcf(c_20905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xS)) ),
inference(superposition,[status(thm)],[c_20901,c_137]) ).
tcf(c_20906,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20905,c_138]) ).
tcf(c_20914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sdtasdt0(xA,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20904,c_138]) ).
tcf(c_20926,plain,
( ( sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_118,c_20737]) ).
tcf(c_20927,plain,
sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_20926,c_58]) ).
tcf(c_20935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sdtasdt0(xA,xS),X0) ),
inference(superposition,[status(thm)],[c_20927,c_137]) ).
tcf(c_20936,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xS)) ),
inference(superposition,[status(thm)],[c_20927,c_137]) ).
tcf(c_20937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xA,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20936,c_138]) ).
tcf(c_20945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xA,xS))
| ~ sdtlseqdt0(sdtasdt0(xA,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20935,c_138,c_3316]) ).
tcf(c_20956,plain,
sdtasdt0(smndt0(xB),smndt0(xA)) = sdtasdt0(xB,xA),
inference(superposition,[status(thm)],[c_58,c_3419]) ).
tcf(c_20957,plain,
sdtasdt0(smndt0(xB),smndt0(xB)) = sdtasdt0(xB,xB),
inference(superposition,[status(thm)],[c_60,c_3419]) ).
tcf(c_20958,plain,
sdtasdt0(smndt0(xB),smndt0(xC)) = sdtasdt0(xB,xC),
inference(superposition,[status(thm)],[c_62,c_3419]) ).
tcf(c_20959,plain,
sdtasdt0(smndt0(xB),smndt0(xD)) = sdtasdt0(xB,xD),
inference(superposition,[status(thm)],[c_64,c_3419]) ).
tcf(c_20960,plain,
sdtasdt0(smndt0(xB),smndt0(xE)) = sdtasdt0(xB,xE),
inference(superposition,[status(thm)],[c_66,c_3419]) ).
tcf(c_20961,plain,
sdtasdt0(smndt0(xB),smndt0(xF)) = sdtasdt0(xB,xF),
inference(superposition,[status(thm)],[c_68,c_3419]) ).
tcf(c_20962,plain,
sdtasdt0(smndt0(xB),smndt0(xG)) = sdtasdt0(xB,xG),
inference(superposition,[status(thm)],[c_70,c_3419]) ).
tcf(c_20963,plain,
sdtasdt0(smndt0(xB),smndt0(xH)) = sdtasdt0(xB,xH),
inference(superposition,[status(thm)],[c_72,c_3419]) ).
tcf(c_20964,plain,
sdtasdt0(smndt0(xB),smndt0(xR)) = sdtasdt0(xB,xR),
inference(superposition,[status(thm)],[c_74,c_3419]) ).
tcf(c_20965,plain,
sdtasdt0(smndt0(xB),smndt0(xP)) = sdtasdt0(xB,xP),
inference(superposition,[status(thm)],[c_76,c_3419]) ).
tcf(c_20966,plain,
sdtasdt0(smndt0(xB),smndt0(xS)) = sdtasdt0(xB,xS),
inference(superposition,[status(thm)],[c_78,c_3419]) ).
tcf(c_20967,plain,
sdtasdt0(smndt0(xB),smndt0(xN)) = sdtasdt0(xB,xN),
inference(superposition,[status(thm)],[c_80,c_3419]) ).
tcf(c_20968,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(X0,X1))) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3419]) ).
tcf(c_20969,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(xB,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3419]) ).
tcf(c_20970,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(smndt0(X0))) = sdtasdt0(xB,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3419]) ).
tcf(c_20971,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(sdtpldt0(X0,X1))) = sdtasdt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3419]) ).
tcf(c_20972,plain,
sdtasdt0(smndt0(xB),smndt0(sz0z00)) = sdtasdt0(xB,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3419]) ).
tcf(c_20973,plain,
sdtasdt0(smndt0(xB),smndt0(smndt0(xN))) = sdtasdt0(xB,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3419]) ).
tcf(c_20974,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xB,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3419]) ).
tcf(c_20975,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xB,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3419]) ).
tcf(c_20976,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xB,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3419]) ).
tcf(c_20977,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xB,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3419]) ).
tcf(c_20978,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xB,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3419]) ).
tcf(c_20979,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xB,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3419]) ).
tcf(c_20980,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xB,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3419]) ).
tcf(c_20981,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xB,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3419]) ).
tcf(c_20982,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xB,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3419]) ).
tcf(c_20983,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xB,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3419]) ).
tcf(c_20984,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xB,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3419]) ).
tcf(c_20985,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xB,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3419]) ).
tcf(c_20986,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xB,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3419]) ).
tcf(c_20987,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xB,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3419]) ).
tcf(c_20988,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3419]) ).
tcf(c_20990,plain,
sdtasdt0(smndt0(xB),smndt0(xB)) = xG,
inference(light_normalisation,[status(thm)],[c_20957,c_71]) ).
tcf(c_20991,plain,
sdtasdt0(smndt0(xB),xN) = sdtasdt0(xB,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_20973,c_3027]) ).
tcf(c_21093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20990,c_137]) ).
tcf(c_21094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20990,c_137]) ).
tcf(c_21097,plain,
! [X0: $i] :
( ( smndt0(xB) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_20990,c_135]) ).
tcf(c_21121,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xA))
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20956,c_120]) ).
tcf(c_21122,plain,
( aScalar0(sdtasdt0(xB,xA))
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20956,c_94]) ).
tcf(c_21123,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xA),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xB),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_20956,c_137]) ).
tcf(c_21124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20956,c_137]) ).
tcf(c_21181,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20958,c_120]) ).
tcf(c_21182,plain,
( aScalar0(sdtasdt0(xB,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20958,c_94]) ).
tcf(c_21183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xC),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20958,c_137]) ).
tcf(c_21184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20958,c_137]) ).
tcf(c_21211,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_17219,c_120]) ).
tcf(c_21212,plain,
( aScalar0(sdtasdt0(xA,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_17219,c_94]) ).
tcf(c_21213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xA,sdtlbdtrb0(xt,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(smndt0(xA),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_17219,c_137]) ).
tcf(c_21214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xA,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_17219,c_137]) ).
tcf(c_21241,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20959,c_120]) ).
tcf(c_21242,plain,
( aScalar0(sdtasdt0(xB,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20959,c_94]) ).
tcf(c_21243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xD),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20959,c_137]) ).
tcf(c_21244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20959,c_137]) ).
tcf(c_21271,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20960,c_120]) ).
tcf(c_21272,plain,
( aScalar0(sdtasdt0(xB,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20960,c_94]) ).
tcf(c_21273,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xE),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20960,c_137]) ).
tcf(c_21274,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xE))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20960,c_137]) ).
tcf(c_21301,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20961,c_120]) ).
tcf(c_21302,plain,
( aScalar0(sdtasdt0(xB,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20961,c_94]) ).
tcf(c_21303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xF),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20961,c_137]) ).
tcf(c_21304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20961,c_137]) ).
tcf(c_21331,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20962,c_120]) ).
tcf(c_21332,plain,
( aScalar0(sdtasdt0(xB,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20962,c_94]) ).
tcf(c_21333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xG),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20962,c_137]) ).
tcf(c_21334,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20962,c_137]) ).
tcf(c_21361,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20963,c_120]) ).
tcf(c_21362,plain,
( aScalar0(sdtasdt0(xB,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20963,c_94]) ).
tcf(c_21363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xH),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20963,c_137]) ).
tcf(c_21364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xH))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20963,c_137]) ).
tcf(c_21391,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20964,c_120]) ).
tcf(c_21392,plain,
( aScalar0(sdtasdt0(xB,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20964,c_94]) ).
tcf(c_21393,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xR),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20964,c_137]) ).
tcf(c_21394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20964,c_137]) ).
tcf(c_21421,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20965,c_120]) ).
tcf(c_21422,plain,
( aScalar0(sdtasdt0(xB,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20965,c_94]) ).
tcf(c_21423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20965,c_137]) ).
tcf(c_21424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20965,c_137]) ).
tcf(c_21451,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20966,c_120]) ).
tcf(c_21452,plain,
( aScalar0(sdtasdt0(xB,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20966,c_94]) ).
tcf(c_21453,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20966,c_137]) ).
tcf(c_21454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20966,c_137]) ).
tcf(c_21481,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20967,c_120]) ).
tcf(c_21482,plain,
( aScalar0(sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20967,c_94]) ).
tcf(c_21483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20967,c_137]) ).
tcf(c_21484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20967,c_137]) ).
tcf(c_21485,plain,
( aScalar0(sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21482,c_3750]) ).
tcf(c_21488,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21481,c_3750]) ).
tcf(c_21493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21484,c_3750]) ).
tcf(c_21501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21483,c_3750]) ).
tcf(c_21530,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xB,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3419]) ).
tcf(c_21531,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xA,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3418]) ).
tcf(c_21532,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_12625]) ).
tcf(c_21533,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_12564]) ).
tcf(c_21534,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xN))) = sdtasdt0(sz0z00,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3636]) ).
tcf(c_21535,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = sdtasdt0(sz0z00,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3435]) ).
tcf(c_21536,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xN))),smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3192]) ).
tcf(c_21537,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),smndt0(smndt0(sdtasdt0(xB,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3146]) ).
tcf(c_21538,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_7435]) ).
tcf(c_21539,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_6889]) ).
tcf(c_21540,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xN)))) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3028]) ).
tcf(c_21541,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_2965]) ).
tcf(c_21542,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),sz0z00) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_2944]) ).
tcf(c_21543,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3007]) ).
tcf(c_21544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xN),X1),sdtasdt0(sdtasdt0(xB,xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_122]) ).
tcf(c_21545,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_2986]) ).
tcf(c_21546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_124]) ).
tcf(c_21547,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xN),X0),sdtasdt0(sdtasdt0(xB,xN),X1)) = sdtasdt0(sdtasdt0(xB,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_123]) ).
tcf(c_21548,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xN),X0),X1) = sdtasdt0(sdtasdt0(xB,xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_127]) ).
tcf(c_21549,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xN),X0),X1) = sdtpldt0(sdtasdt0(xB,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_125]) ).
tcf(c_21550,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xN)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_109]) ).
tcf(c_21551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xN),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_108]) ).
tcf(c_21552,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xN)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xN),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_107]) ).
tcf(c_21553,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_115]) ).
tcf(c_21554,plain,
( ( sdtpldt0(sdtasdt0(xB,xN),smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_114]) ).
tcf(c_21555,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_116]) ).
tcf(c_21556,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_113]) ).
tcf(c_21557,plain,
( ( sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_112]) ).
tcf(c_21558,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xN)) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_111]) ).
tcf(c_21559,plain,
( ( sdtpldt0(sdtasdt0(xB,xN),sz0z00) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_110]) ).
tcf(c_21659,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20991,c_120]) ).
tcf(c_21660,plain,
( aScalar0(sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20991,c_94]) ).
tcf(c_21661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_20991,c_137]) ).
tcf(c_21662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_20991,c_137]) ).
tcf(c_21663,plain,
( aScalar0(sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21660,c_80]) ).
tcf(c_21666,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21659,c_80,c_3964]) ).
tcf(c_21670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21662,c_80]) ).
tcf(c_21678,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21661,c_80,c_3964]) ).
tcf(c_21691,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3419]) ).
tcf(c_21692,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3418]) ).
tcf(c_21693,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_12625]) ).
tcf(c_21694,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_12564]) ).
tcf(c_21695,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3636]) ).
tcf(c_21696,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3435]) ).
tcf(c_21697,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))),smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3192]) ).
tcf(c_21698,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3146]) ).
tcf(c_21699,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_7435]) ).
tcf(c_21700,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_6889]) ).
tcf(c_21701,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3028]) ).
tcf(c_21702,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_2965]) ).
tcf(c_21703,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_2944]) ).
tcf(c_21704,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3007]) ).
tcf(c_21705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X1),sdtasdt0(sdtasdt0(xB,smndt0(xN)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,smndt0(xN)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_122]) ).
tcf(c_21706,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_2986]) ).
tcf(c_21707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,smndt0(xN)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_124]) ).
tcf(c_21708,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X0),sdtasdt0(sdtasdt0(xB,smndt0(xN)),X1)) = sdtasdt0(sdtasdt0(xB,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_123]) ).
tcf(c_21709,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X0),X1) = sdtasdt0(sdtasdt0(xB,smndt0(xN)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_127]) ).
tcf(c_21710,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,smndt0(xN)),X0),X1) = sdtpldt0(sdtasdt0(xB,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_125]) ).
tcf(c_21711,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,smndt0(xN))),X0) = smndt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_109]) ).
tcf(c_21712,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,smndt0(xN)),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_108]) ).
tcf(c_21713,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,smndt0(xN))),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,smndt0(xN)),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_107]) ).
tcf(c_21714,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),sdtasdt0(xB,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_115]) ).
tcf(c_21715,plain,
( ( sdtpldt0(sdtasdt0(xB,smndt0(xN)),smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_114]) ).
tcf(c_21716,plain,
( ( smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_116]) ).
tcf(c_21717,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_113]) ).
tcf(c_21718,plain,
( ( sdtasdt0(sdtasdt0(xB,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_112]) ).
tcf(c_21719,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,smndt0(xN))) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_111]) ).
tcf(c_21720,plain,
( ( sdtpldt0(sdtasdt0(xB,smndt0(xN)),sz0z00) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_110]) ).
tcf(c_21866,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xB,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3419]) ).
tcf(c_21867,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xA,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3418]) ).
tcf(c_21868,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_12625]) ).
tcf(c_21869,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_12564]) ).
tcf(c_21870,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xA))) = sdtasdt0(sz0z00,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3636]) ).
tcf(c_21871,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = sdtasdt0(sz0z00,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3435]) ).
tcf(c_21872,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xA))),smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3192]) ).
tcf(c_21873,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),smndt0(smndt0(sdtasdt0(xB,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3146]) ).
tcf(c_21874,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_7435]) ).
tcf(c_21875,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_6889]) ).
tcf(c_21876,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xA)))) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3028]) ).
tcf(c_21877,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_2965]) ).
tcf(c_21878,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),sz0z00) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_2944]) ).
tcf(c_21879,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3007]) ).
tcf(c_21880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xA),X1),sdtasdt0(sdtasdt0(xB,xA),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xA),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_122]) ).
tcf(c_21881,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_2986]) ).
tcf(c_21882,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xA),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xA),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_124]) ).
tcf(c_21883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xA),X0),sdtasdt0(sdtasdt0(xB,xA),X1)) = sdtasdt0(sdtasdt0(xB,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_123]) ).
tcf(c_21884,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xA),X0),X1) = sdtasdt0(sdtasdt0(xB,xA),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_127]) ).
tcf(c_21885,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xA),X0),X1) = sdtpldt0(sdtasdt0(xB,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_125]) ).
tcf(c_21886,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xA)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_109]) ).
tcf(c_21887,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xA),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_108]) ).
tcf(c_21888,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xA)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xA),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_107]) ).
tcf(c_21889,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),sdtasdt0(xB,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_115]) ).
tcf(c_21890,plain,
( ( sdtpldt0(sdtasdt0(xB,xA),smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_114]) ).
tcf(c_21891,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_116]) ).
tcf(c_21892,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_113]) ).
tcf(c_21893,plain,
( ( sdtasdt0(sdtasdt0(xB,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_112]) ).
tcf(c_21894,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xA)) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_111]) ).
tcf(c_21895,plain,
( ( sdtpldt0(sdtasdt0(xB,xA),sz0z00) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_110]) ).
tcf(c_22141,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xB,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3419]) ).
tcf(c_22142,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xA,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3418]) ).
tcf(c_22143,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_12625]) ).
tcf(c_22144,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_12564]) ).
tcf(c_22145,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xC))) = sdtasdt0(sz0z00,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3636]) ).
tcf(c_22146,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = sdtasdt0(sz0z00,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3435]) ).
tcf(c_22147,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xC))),smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3192]) ).
tcf(c_22148,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),smndt0(smndt0(sdtasdt0(xB,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3146]) ).
tcf(c_22149,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_7435]) ).
tcf(c_22150,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_6889]) ).
tcf(c_22151,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xC)))) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3028]) ).
tcf(c_22152,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_2965]) ).
tcf(c_22153,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),sz0z00) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_2944]) ).
tcf(c_22154,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3007]) ).
tcf(c_22155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xC),X1),sdtasdt0(sdtasdt0(xB,xC),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xC),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_122]) ).
tcf(c_22156,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_2986]) ).
tcf(c_22157,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xC),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xC),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_124]) ).
tcf(c_22158,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xC),X0),sdtasdt0(sdtasdt0(xB,xC),X1)) = sdtasdt0(sdtasdt0(xB,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_123]) ).
tcf(c_22159,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xC),X0),X1) = sdtasdt0(sdtasdt0(xB,xC),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_127]) ).
tcf(c_22160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xC),X0),X1) = sdtpldt0(sdtasdt0(xB,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_125]) ).
tcf(c_22161,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xC)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_109]) ).
tcf(c_22162,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xC),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_108]) ).
tcf(c_22163,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xC)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xC),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_107]) ).
tcf(c_22164,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),sdtasdt0(xB,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_115]) ).
tcf(c_22165,plain,
( ( sdtpldt0(sdtasdt0(xB,xC),smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_114]) ).
tcf(c_22166,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_116]) ).
tcf(c_22167,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_113]) ).
tcf(c_22168,plain,
( ( sdtasdt0(sdtasdt0(xB,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_112]) ).
tcf(c_22169,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xC)) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_111]) ).
tcf(c_22170,plain,
( ( sdtpldt0(sdtasdt0(xB,xC),sz0z00) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_110]) ).
tcf(c_22942,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xB,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3419]) ).
tcf(c_22943,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xA,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3418]) ).
tcf(c_22944,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_12625]) ).
tcf(c_22945,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_12564]) ).
tcf(c_22946,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xD))) = sdtasdt0(sz0z00,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3636]) ).
tcf(c_22947,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = sdtasdt0(sz0z00,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3435]) ).
tcf(c_22948,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xD))),smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3192]) ).
tcf(c_22949,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),smndt0(smndt0(sdtasdt0(xB,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3146]) ).
tcf(c_22950,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_7435]) ).
tcf(c_22951,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_6889]) ).
tcf(c_22952,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xD)))) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3028]) ).
tcf(c_22953,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_2965]) ).
tcf(c_22954,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),sz0z00) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_2944]) ).
tcf(c_22955,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3007]) ).
tcf(c_22956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xD),X1),sdtasdt0(sdtasdt0(xB,xD),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xD),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_122]) ).
tcf(c_22957,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_2986]) ).
tcf(c_22958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xD),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xD),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_124]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xD),X0),sdtasdt0(sdtasdt0(xB,xD),X1)) = sdtasdt0(sdtasdt0(xB,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_123]) ).
tcf(c_22960,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xD),X0),X1) = sdtasdt0(sdtasdt0(xB,xD),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_127]) ).
tcf(c_22961,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xD),X0),X1) = sdtpldt0(sdtasdt0(xB,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_125]) ).
tcf(c_22962,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xD)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_109]) ).
tcf(c_22963,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xD),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_108]) ).
tcf(c_22964,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xD)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xD),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_107]) ).
tcf(c_22965,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),sdtasdt0(xB,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_115]) ).
tcf(c_22966,plain,
( ( sdtpldt0(sdtasdt0(xB,xD),smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_114]) ).
tcf(c_22967,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_116]) ).
tcf(c_22968,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_113]) ).
tcf(c_22969,plain,
( ( sdtasdt0(sdtasdt0(xB,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_112]) ).
tcf(c_22970,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xD)) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_111]) ).
tcf(c_22971,plain,
( ( sdtpldt0(sdtasdt0(xB,xD),sz0z00) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_110]) ).
tcf(c_23110,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xB,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3419]) ).
tcf(c_23111,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xA,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3418]) ).
tcf(c_23112,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_12625]) ).
tcf(c_23113,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_12564]) ).
tcf(c_23114,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xE))) = sdtasdt0(sz0z00,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3636]) ).
tcf(c_23115,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = sdtasdt0(sz0z00,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3435]) ).
tcf(c_23116,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xE))),smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3192]) ).
tcf(c_23117,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),smndt0(smndt0(sdtasdt0(xB,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3146]) ).
tcf(c_23118,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_7435]) ).
tcf(c_23119,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_6889]) ).
tcf(c_23120,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xE)))) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3028]) ).
tcf(c_23121,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_2965]) ).
tcf(c_23122,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),sz0z00) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_2944]) ).
tcf(c_23123,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3007]) ).
tcf(c_23124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xE),X1),sdtasdt0(sdtasdt0(xB,xE),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xE),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_122]) ).
tcf(c_23125,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_2986]) ).
tcf(c_23126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xE),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xE),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_124]) ).
tcf(c_23127,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xE),X0),sdtasdt0(sdtasdt0(xB,xE),X1)) = sdtasdt0(sdtasdt0(xB,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_123]) ).
tcf(c_23128,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xE),X0),X1) = sdtasdt0(sdtasdt0(xB,xE),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_127]) ).
tcf(c_23129,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xE),X0),X1) = sdtpldt0(sdtasdt0(xB,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_125]) ).
tcf(c_23130,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xE)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_109]) ).
tcf(c_23131,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xE),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_108]) ).
tcf(c_23132,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xE)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xE),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_107]) ).
tcf(c_23133,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),sdtasdt0(xB,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_115]) ).
tcf(c_23134,plain,
( ( sdtpldt0(sdtasdt0(xB,xE),smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_114]) ).
tcf(c_23135,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_116]) ).
tcf(c_23136,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_113]) ).
tcf(c_23137,plain,
( ( sdtasdt0(sdtasdt0(xB,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_112]) ).
tcf(c_23138,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xE)) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_111]) ).
tcf(c_23139,plain,
( ( sdtpldt0(sdtasdt0(xB,xE),sz0z00) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_110]) ).
tcf(c_23302,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_20976,c_120]) ).
tcf(c_23303,plain,
( aScalar0(sdtasdt0(xB,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_20976,c_94]) ).
tcf(c_23304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,sdtlbdtrb0(xs,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_20976,c_137]) ).
tcf(c_23305,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xB,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_20976,c_137]) ).
tcf(c_23361,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xB,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3419]) ).
tcf(c_23362,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xA,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3418]) ).
tcf(c_23363,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_12625]) ).
tcf(c_23364,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_12564]) ).
tcf(c_23365,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xF))) = sdtasdt0(sz0z00,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3636]) ).
tcf(c_23366,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = sdtasdt0(sz0z00,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3435]) ).
tcf(c_23367,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xF))),smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3192]) ).
tcf(c_23368,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),smndt0(smndt0(sdtasdt0(xB,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3146]) ).
tcf(c_23369,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_7435]) ).
tcf(c_23370,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_6889]) ).
tcf(c_23371,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xF)))) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3028]) ).
tcf(c_23372,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_2965]) ).
tcf(c_23373,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),sz0z00) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_2944]) ).
tcf(c_23374,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3007]) ).
tcf(c_23375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xF),X1),sdtasdt0(sdtasdt0(xB,xF),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xF),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_122]) ).
tcf(c_23376,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_2986]) ).
tcf(c_23377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xF),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xF),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_124]) ).
tcf(c_23378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xF),X0),sdtasdt0(sdtasdt0(xB,xF),X1)) = sdtasdt0(sdtasdt0(xB,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_123]) ).
tcf(c_23379,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xF),X0),X1) = sdtasdt0(sdtasdt0(xB,xF),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_127]) ).
tcf(c_23380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xF),X0),X1) = sdtpldt0(sdtasdt0(xB,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_125]) ).
tcf(c_23381,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xF)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_109]) ).
tcf(c_23382,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xF),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_108]) ).
tcf(c_23383,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xF)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xF),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_107]) ).
tcf(c_23384,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),sdtasdt0(xB,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_115]) ).
tcf(c_23385,plain,
( ( sdtpldt0(sdtasdt0(xB,xF),smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_114]) ).
tcf(c_23386,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_116]) ).
tcf(c_23387,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_113]) ).
tcf(c_23388,plain,
( ( sdtasdt0(sdtasdt0(xB,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_112]) ).
tcf(c_23389,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xF)) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_111]) ).
tcf(c_23390,plain,
( ( sdtpldt0(sdtasdt0(xB,xF),sz0z00) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_110]) ).
tcf(c_23549,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xB,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3419]) ).
tcf(c_23550,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xA,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3418]) ).
tcf(c_23551,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_12625]) ).
tcf(c_23552,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_12564]) ).
tcf(c_23553,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xG))) = sdtasdt0(sz0z00,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3636]) ).
tcf(c_23554,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = sdtasdt0(sz0z00,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3435]) ).
tcf(c_23555,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xG))),smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3192]) ).
tcf(c_23556,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),smndt0(smndt0(sdtasdt0(xB,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3146]) ).
tcf(c_23557,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_7435]) ).
tcf(c_23558,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_6889]) ).
tcf(c_23559,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xG)))) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3028]) ).
tcf(c_23560,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_2965]) ).
tcf(c_23561,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),sz0z00) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_2944]) ).
tcf(c_23562,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3007]) ).
tcf(c_23563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xG),X1),sdtasdt0(sdtasdt0(xB,xG),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xG),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_122]) ).
tcf(c_23564,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_2986]) ).
tcf(c_23565,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xG),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xG),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_124]) ).
tcf(c_23566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xG),X0),sdtasdt0(sdtasdt0(xB,xG),X1)) = sdtasdt0(sdtasdt0(xB,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_123]) ).
tcf(c_23567,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xG),X0),X1) = sdtasdt0(sdtasdt0(xB,xG),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_127]) ).
tcf(c_23568,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xG),X0),X1) = sdtpldt0(sdtasdt0(xB,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_125]) ).
tcf(c_23569,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xG)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_109]) ).
tcf(c_23570,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xG),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_108]) ).
tcf(c_23571,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xG)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xG),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_107]) ).
tcf(c_23572,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),sdtasdt0(xB,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_115]) ).
tcf(c_23573,plain,
( ( sdtpldt0(sdtasdt0(xB,xG),smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_114]) ).
tcf(c_23574,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_116]) ).
tcf(c_23575,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_113]) ).
tcf(c_23576,plain,
( ( sdtasdt0(sdtasdt0(xB,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_112]) ).
tcf(c_23577,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xG)) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_111]) ).
tcf(c_23578,plain,
( ( sdtpldt0(sdtasdt0(xB,xG),sz0z00) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_110]) ).
tcf(c_23749,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xB,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3419]) ).
tcf(c_23750,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xA,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3418]) ).
tcf(c_23751,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_12625]) ).
tcf(c_23752,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_12564]) ).
tcf(c_23753,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xH))) = sdtasdt0(sz0z00,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3636]) ).
tcf(c_23754,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = sdtasdt0(sz0z00,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3435]) ).
tcf(c_23755,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xH))),smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3192]) ).
tcf(c_23756,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),smndt0(smndt0(sdtasdt0(xB,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3146]) ).
tcf(c_23757,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_7435]) ).
tcf(c_23758,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_6889]) ).
tcf(c_23759,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xH)))) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3028]) ).
tcf(c_23760,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_2965]) ).
tcf(c_23761,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),sz0z00) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_2944]) ).
tcf(c_23762,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3007]) ).
tcf(c_23763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xH),X1),sdtasdt0(sdtasdt0(xB,xH),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xH),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_122]) ).
tcf(c_23764,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_2986]) ).
tcf(c_23765,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xH),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xH),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_124]) ).
tcf(c_23766,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xH),X0),sdtasdt0(sdtasdt0(xB,xH),X1)) = sdtasdt0(sdtasdt0(xB,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_123]) ).
tcf(c_23767,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xH),X0),X1) = sdtasdt0(sdtasdt0(xB,xH),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_127]) ).
tcf(c_23768,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xH),X0),X1) = sdtpldt0(sdtasdt0(xB,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_125]) ).
tcf(c_23769,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xH)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_109]) ).
tcf(c_23770,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xH),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_108]) ).
tcf(c_23771,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xH)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xH),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_107]) ).
tcf(c_23772,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),sdtasdt0(xB,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_115]) ).
tcf(c_23773,plain,
( ( sdtpldt0(sdtasdt0(xB,xH),smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_114]) ).
tcf(c_23774,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_116]) ).
tcf(c_23775,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_113]) ).
tcf(c_23776,plain,
( ( sdtasdt0(sdtasdt0(xB,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_112]) ).
tcf(c_23777,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xH)) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_111]) ).
tcf(c_23778,plain,
( ( sdtpldt0(sdtasdt0(xB,xH),sz0z00) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_110]) ).
tcf(c_23961,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xB,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3419]) ).
tcf(c_23962,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xA,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3418]) ).
tcf(c_23963,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_12625]) ).
tcf(c_23964,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_12564]) ).
tcf(c_23965,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xR))) = sdtasdt0(sz0z00,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3636]) ).
tcf(c_23966,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = sdtasdt0(sz0z00,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3435]) ).
tcf(c_23967,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xR))),smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3192]) ).
tcf(c_23968,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),smndt0(smndt0(sdtasdt0(xB,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3146]) ).
tcf(c_23969,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_7435]) ).
tcf(c_23970,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_6889]) ).
tcf(c_23971,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xR)))) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3028]) ).
tcf(c_23972,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_2965]) ).
tcf(c_23973,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),sz0z00) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_2944]) ).
tcf(c_23974,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3007]) ).
tcf(c_23975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xR),X1),sdtasdt0(sdtasdt0(xB,xR),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xR),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_122]) ).
tcf(c_23976,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_2986]) ).
tcf(c_23977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xR),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xR),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_124]) ).
tcf(c_23978,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xR),X0),sdtasdt0(sdtasdt0(xB,xR),X1)) = sdtasdt0(sdtasdt0(xB,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_123]) ).
tcf(c_23979,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xR),X0),X1) = sdtasdt0(sdtasdt0(xB,xR),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_127]) ).
tcf(c_23980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xR),X0),X1) = sdtpldt0(sdtasdt0(xB,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_125]) ).
tcf(c_23981,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xR)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_109]) ).
tcf(c_23982,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xR),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_108]) ).
tcf(c_23983,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xR)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xR),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_107]) ).
tcf(c_23984,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),sdtasdt0(xB,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_115]) ).
tcf(c_23985,plain,
( ( sdtpldt0(sdtasdt0(xB,xR),smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_114]) ).
tcf(c_23986,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_116]) ).
tcf(c_23987,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_113]) ).
tcf(c_23988,plain,
( ( sdtasdt0(sdtasdt0(xB,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_112]) ).
tcf(c_23989,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xR)) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_111]) ).
tcf(c_23990,plain,
( ( sdtpldt0(sdtasdt0(xB,xR),sz0z00) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_110]) ).
tcf(c_24182,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xB,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3419]) ).
tcf(c_24183,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xA,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3418]) ).
tcf(c_24184,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_12625]) ).
tcf(c_24185,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_12564]) ).
tcf(c_24186,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xP))) = sdtasdt0(sz0z00,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3636]) ).
tcf(c_24187,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = sdtasdt0(sz0z00,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3435]) ).
tcf(c_24188,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xP))),smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3192]) ).
tcf(c_24189,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),smndt0(smndt0(sdtasdt0(xB,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3146]) ).
tcf(c_24190,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_7435]) ).
tcf(c_24191,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_6889]) ).
tcf(c_24192,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xP)))) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3028]) ).
tcf(c_24193,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_2965]) ).
tcf(c_24194,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),sz0z00) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_2944]) ).
tcf(c_24195,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3007]) ).
tcf(c_24196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xP),X1),sdtasdt0(sdtasdt0(xB,xP),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xP),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_122]) ).
tcf(c_24197,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_2986]) ).
tcf(c_24198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xP),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xP),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_124]) ).
tcf(c_24199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xP),X0),sdtasdt0(sdtasdt0(xB,xP),X1)) = sdtasdt0(sdtasdt0(xB,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_123]) ).
tcf(c_24200,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xP),X0),X1) = sdtasdt0(sdtasdt0(xB,xP),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_127]) ).
tcf(c_24201,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xP),X0),X1) = sdtpldt0(sdtasdt0(xB,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_125]) ).
tcf(c_24202,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xP)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_109]) ).
tcf(c_24203,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xP),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_108]) ).
tcf(c_24204,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xP)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xP),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_107]) ).
tcf(c_24205,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),sdtasdt0(xB,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_115]) ).
tcf(c_24206,plain,
( ( sdtpldt0(sdtasdt0(xB,xP),smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_114]) ).
tcf(c_24207,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_116]) ).
tcf(c_24208,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_113]) ).
tcf(c_24209,plain,
( ( sdtasdt0(sdtasdt0(xB,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_112]) ).
tcf(c_24210,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xP)) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_111]) ).
tcf(c_24211,plain,
( ( sdtpldt0(sdtasdt0(xB,xP),sz0z00) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_110]) ).
tcf(c_24447,plain,
( aScalar0(sdtasdt0(xB,xS))
| ~ aScalar0(smndt0(xB)) ),
inference(global_subsumption_just,[status(thm)],[c_21452,c_78,c_15159,c_21452]) ).
tcf(c_24453,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xB,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3419]) ).
tcf(c_24454,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xA,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3418]) ).
tcf(c_24455,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_12625]) ).
tcf(c_24456,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_12564]) ).
tcf(c_24457,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xS))) = sdtasdt0(sz0z00,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3636]) ).
tcf(c_24458,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = sdtasdt0(sz0z00,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3435]) ).
tcf(c_24459,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xS))),smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3192]) ).
tcf(c_24460,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),smndt0(smndt0(sdtasdt0(xB,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3146]) ).
tcf(c_24461,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_7435]) ).
tcf(c_24462,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_6889]) ).
tcf(c_24463,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xS)))) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3028]) ).
tcf(c_24464,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_2965]) ).
tcf(c_24465,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),sz0z00) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_2944]) ).
tcf(c_24466,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3007]) ).
tcf(c_24467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xB,xS),X1),sdtasdt0(sdtasdt0(xB,xS),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xS),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_122]) ).
tcf(c_24468,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_2986]) ).
tcf(c_24469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xS),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xB,xS),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_124]) ).
tcf(c_24470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xB,xS),X0),sdtasdt0(sdtasdt0(xB,xS),X1)) = sdtasdt0(sdtasdt0(xB,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_123]) ).
tcf(c_24471,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xB,xS),X0),X1) = sdtasdt0(sdtasdt0(xB,xS),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_127]) ).
tcf(c_24472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,xS),X0),X1) = sdtpldt0(sdtasdt0(xB,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_125]) ).
tcf(c_24473,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xS)),X0) = smndt0(sdtasdt0(sdtasdt0(xB,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_109]) ).
tcf(c_24474,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xB,xS),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xB,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_108]) ).
tcf(c_24475,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xB,xS)),smndt0(X0)) = sdtasdt0(sdtasdt0(xB,xS),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_107]) ).
tcf(c_24476,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_115]) ).
tcf(c_24477,plain,
( ( sdtpldt0(sdtasdt0(xB,xS),smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_114]) ).
tcf(c_24478,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_116]) ).
tcf(c_24479,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_113]) ).
tcf(c_24480,plain,
( ( sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_112]) ).
tcf(c_24481,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xS)) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_111]) ).
tcf(c_24482,plain,
( ( sdtpldt0(sdtasdt0(xB,xS),sz0z00) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_110]) ).
tcf(c_24610,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_118,c_21556]) ).
tcf(c_24611,plain,
sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_24610,c_60]) ).
tcf(c_24614,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sdtasdt0(xB,xN),X0) ),
inference(superposition,[status(thm)],[c_24611,c_137]) ).
tcf(c_24615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xN)) ),
inference(superposition,[status(thm)],[c_24611,c_137]) ).
tcf(c_24616,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24615,c_138]) ).
tcf(c_24624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sdtasdt0(xB,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24614,c_138]) ).
tcf(c_24636,plain,
( ( sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_118,c_21557]) ).
tcf(c_24637,plain,
sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_24636,c_60]) ).
tcf(c_24640,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sdtasdt0(xB,xN),X0) ),
inference(superposition,[status(thm)],[c_24637,c_137]) ).
tcf(c_24641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xN)) ),
inference(superposition,[status(thm)],[c_24637,c_137]) ).
tcf(c_24642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24641,c_138]) ).
tcf(c_24650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xN))
| ~ sdtlseqdt0(sdtasdt0(xB,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24640,c_138,c_3316]) ).
tcf(c_24661,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_118,c_24479]) ).
tcf(c_24662,plain,
sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_24661,c_60]) ).
tcf(c_24665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sdtasdt0(xB,xS),X0) ),
inference(superposition,[status(thm)],[c_24662,c_137]) ).
tcf(c_24666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xS)) ),
inference(superposition,[status(thm)],[c_24662,c_137]) ).
tcf(c_24667,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24666,c_138]) ).
tcf(c_24675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sdtasdt0(xB,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24665,c_138]) ).
tcf(c_24687,plain,
( ( sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_118,c_24480]) ).
tcf(c_24688,plain,
sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_24687,c_60]) ).
tcf(c_24691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sdtasdt0(xB,xS),X0) ),
inference(superposition,[status(thm)],[c_24688,c_137]) ).
tcf(c_24692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xS)) ),
inference(superposition,[status(thm)],[c_24688,c_137]) ).
tcf(c_24693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xB,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24692,c_138]) ).
tcf(c_24701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xB,xS))
| ~ sdtlseqdt0(sdtasdt0(xB,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24691,c_138,c_3316]) ).
tcf(c_24712,plain,
sdtasdt0(smndt0(xC),smndt0(xA)) = sdtasdt0(xC,xA),
inference(superposition,[status(thm)],[c_58,c_3420]) ).
tcf(c_24713,plain,
sdtasdt0(smndt0(xC),smndt0(xB)) = sdtasdt0(xC,xB),
inference(superposition,[status(thm)],[c_60,c_3420]) ).
tcf(c_24714,plain,
sdtasdt0(smndt0(xC),smndt0(xC)) = sdtasdt0(xC,xC),
inference(superposition,[status(thm)],[c_62,c_3420]) ).
tcf(c_24715,plain,
sdtasdt0(smndt0(xC),smndt0(xD)) = sdtasdt0(xC,xD),
inference(superposition,[status(thm)],[c_64,c_3420]) ).
tcf(c_24716,plain,
sdtasdt0(smndt0(xC),smndt0(xE)) = sdtasdt0(xC,xE),
inference(superposition,[status(thm)],[c_66,c_3420]) ).
tcf(c_24717,plain,
sdtasdt0(smndt0(xC),smndt0(xF)) = sdtasdt0(xC,xF),
inference(superposition,[status(thm)],[c_68,c_3420]) ).
tcf(c_24718,plain,
sdtasdt0(smndt0(xC),smndt0(xG)) = sdtasdt0(xC,xG),
inference(superposition,[status(thm)],[c_70,c_3420]) ).
tcf(c_24719,plain,
sdtasdt0(smndt0(xC),smndt0(xH)) = sdtasdt0(xC,xH),
inference(superposition,[status(thm)],[c_72,c_3420]) ).
tcf(c_24720,plain,
sdtasdt0(smndt0(xC),smndt0(xR)) = sdtasdt0(xC,xR),
inference(superposition,[status(thm)],[c_74,c_3420]) ).
tcf(c_24721,plain,
sdtasdt0(smndt0(xC),smndt0(xP)) = sdtasdt0(xC,xP),
inference(superposition,[status(thm)],[c_76,c_3420]) ).
tcf(c_24722,plain,
sdtasdt0(smndt0(xC),smndt0(xS)) = sdtasdt0(xC,xS),
inference(superposition,[status(thm)],[c_78,c_3420]) ).
tcf(c_24723,plain,
sdtasdt0(smndt0(xC),smndt0(xN)) = sdtasdt0(xC,xN),
inference(superposition,[status(thm)],[c_80,c_3420]) ).
tcf(c_24724,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(X0,X1))) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3420]) ).
tcf(c_24725,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(xC,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3420]) ).
tcf(c_24726,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(smndt0(X0))) = sdtasdt0(xC,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3420]) ).
tcf(c_24727,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(sdtpldt0(X0,X1))) = sdtasdt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3420]) ).
tcf(c_24728,plain,
sdtasdt0(smndt0(xC),smndt0(sz0z00)) = sdtasdt0(xC,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3420]) ).
tcf(c_24729,plain,
sdtasdt0(smndt0(xC),smndt0(smndt0(xN))) = sdtasdt0(xC,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3420]) ).
tcf(c_24730,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xC,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3420]) ).
tcf(c_24731,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xC,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3420]) ).
tcf(c_24732,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xC,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3420]) ).
tcf(c_24733,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xC,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3420]) ).
tcf(c_24734,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xC,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3420]) ).
tcf(c_24735,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xC,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3420]) ).
tcf(c_24736,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xC,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3420]) ).
tcf(c_24737,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xC,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3420]) ).
tcf(c_24738,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xC,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3420]) ).
tcf(c_24739,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xC,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3420]) ).
tcf(c_24740,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xC,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3420]) ).
tcf(c_24741,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xC,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3420]) ).
tcf(c_24742,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xC,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3420]) ).
tcf(c_24743,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xC,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3420]) ).
tcf(c_24744,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3420]) ).
tcf(c_24745,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xC,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3420]) ).
tcf(c_24746,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xC,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3420]) ).
tcf(c_24747,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xC,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3420]) ).
tcf(c_24748,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xC,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3420]) ).
tcf(c_24749,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xC,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3420]) ).
tcf(c_24750,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xC,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3420]) ).
tcf(c_24751,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xC,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3420]) ).
tcf(c_24752,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xC,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3420]) ).
tcf(c_24753,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xC,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3420]) ).
tcf(c_24754,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xC,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3420]) ).
tcf(c_24755,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xC,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3420]) ).
tcf(c_24756,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3420]) ).
tcf(c_24758,plain,
sdtasdt0(smndt0(xC),smndt0(xG)) = xR,
inference(light_normalisation,[status(thm)],[c_24718,c_75]) ).
tcf(c_24759,plain,
sdtasdt0(smndt0(xC),xN) = sdtasdt0(xC,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_24729,c_3027]) ).
tcf(c_24904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24758,c_137]) ).
tcf(c_24905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24758,c_137]) ).
tcf(c_24924,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_20977,c_120]) ).
tcf(c_24925,plain,
( aScalar0(sdtasdt0(xB,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_20977,c_94]) ).
tcf(c_24926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xB,sdtlbdtrb0(xt,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(smndt0(xB),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_20977,c_137]) ).
tcf(c_24927,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xB,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_20977,c_137]) ).
tcf(c_24993,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xA))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24712,c_120]) ).
tcf(c_24994,plain,
( aScalar0(sdtasdt0(xC,xA))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24712,c_94]) ).
tcf(c_24995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xA),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_24712,c_137]) ).
tcf(c_24996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24712,c_137]) ).
tcf(c_25023,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xB))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24713,c_120]) ).
tcf(c_25024,plain,
( aScalar0(sdtasdt0(xC,xB))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24713,c_94]) ).
tcf(c_25025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xB),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_24713,c_137]) ).
tcf(c_25026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24713,c_137]) ).
tcf(c_25085,plain,
( aScalar0(sdtasdt0(xC,xC))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24714,c_94]) ).
tcf(c_25086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xC),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24714,c_137]) ).
tcf(c_25087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24714,c_137]) ).
tcf(c_25089,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xC))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24714,c_136]) ).
tcf(c_25090,plain,
! [X0: $i] :
( ( smndt0(xC) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ( sdtasdt0(X0,X0) != sdtasdt0(xC,xC) ) ),
inference(superposition,[status(thm)],[c_24714,c_135]) ).
tcf(c_25122,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xC,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3420]) ).
tcf(c_25123,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xB,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3419]) ).
tcf(c_25124,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xA,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3418]) ).
tcf(c_25125,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_12625]) ).
tcf(c_25126,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_12564]) ).
tcf(c_25127,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xC))) = sdtasdt0(sz0z00,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3636]) ).
tcf(c_25128,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = sdtasdt0(sz0z00,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3435]) ).
tcf(c_25129,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xC))),smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3192]) ).
tcf(c_25130,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),smndt0(smndt0(sdtasdt0(xC,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3146]) ).
tcf(c_25131,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_7435]) ).
tcf(c_25132,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_6889]) ).
tcf(c_25133,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xC)))) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3028]) ).
tcf(c_25134,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_2965]) ).
tcf(c_25135,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),sz0z00) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_2944]) ).
tcf(c_25136,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3007]) ).
tcf(c_25137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xC),X1),sdtasdt0(sdtasdt0(xC,xC),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xC),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_122]) ).
tcf(c_25138,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_2986]) ).
tcf(c_25139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xC),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xC),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_124]) ).
tcf(c_25140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xC),X0),sdtasdt0(sdtasdt0(xC,xC),X1)) = sdtasdt0(sdtasdt0(xC,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_123]) ).
tcf(c_25141,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xC),X0),X1) = sdtasdt0(sdtasdt0(xC,xC),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_127]) ).
tcf(c_25142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xC),X0),X1) = sdtpldt0(sdtasdt0(xC,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_125]) ).
tcf(c_25143,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xC)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_109]) ).
tcf(c_25144,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xC),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_108]) ).
tcf(c_25145,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xC)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xC),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_107]) ).
tcf(c_25146,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_115]) ).
tcf(c_25147,plain,
( ( sdtpldt0(sdtasdt0(xC,xC),smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_114]) ).
tcf(c_25148,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_116]) ).
tcf(c_25149,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_113]) ).
tcf(c_25150,plain,
( ( sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_112]) ).
tcf(c_25151,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xC)) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_111]) ).
tcf(c_25152,plain,
( ( sdtpldt0(sdtasdt0(xC,xC),sz0z00) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_110]) ).
tcf(c_25241,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(superposition,[status(thm)],[c_25089,c_91]) ).
tcf(c_25242,plain,
( ( sdtasdt0(xC,xC) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),sz0z00) ),
inference(superposition,[status(thm)],[c_25089,c_92]) ).
tcf(c_25243,plain,
( ( sdtasdt0(xC,xC) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25242,c_138]) ).
tcf(c_25248,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25241,c_138]) ).
tcf(c_25254,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24715,c_120]) ).
tcf(c_25255,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24715,c_94]) ).
tcf(c_25256,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24715,c_137]) ).
tcf(c_25257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24715,c_137]) ).
tcf(c_25315,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24716,c_120]) ).
tcf(c_25316,plain,
( aScalar0(sdtasdt0(xC,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24716,c_94]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xE),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24716,c_137]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xE))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24716,c_137]) ).
tcf(c_25345,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24717,c_120]) ).
tcf(c_25346,plain,
( aScalar0(sdtasdt0(xC,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24717,c_94]) ).
tcf(c_25347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xF),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24717,c_137]) ).
tcf(c_25348,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24717,c_137]) ).
tcf(c_25375,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24719,c_120]) ).
tcf(c_25376,plain,
( aScalar0(sdtasdt0(xC,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24719,c_94]) ).
tcf(c_25377,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xH),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24719,c_137]) ).
tcf(c_25378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xH))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24719,c_137]) ).
tcf(c_25405,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24720,c_120]) ).
tcf(c_25406,plain,
( aScalar0(sdtasdt0(xC,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24720,c_94]) ).
tcf(c_25407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xR),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24720,c_137]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24720,c_137]) ).
tcf(c_25435,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24721,c_120]) ).
tcf(c_25436,plain,
( aScalar0(sdtasdt0(xC,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24721,c_94]) ).
tcf(c_25437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24721,c_137]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24721,c_137]) ).
tcf(c_25465,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24722,c_120]) ).
tcf(c_25466,plain,
( aScalar0(sdtasdt0(xC,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24722,c_94]) ).
tcf(c_25467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24722,c_137]) ).
tcf(c_25468,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24722,c_137]) ).
tcf(c_25514,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24723,c_120]) ).
tcf(c_25515,plain,
( aScalar0(sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24723,c_94]) ).
tcf(c_25516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24723,c_137]) ).
tcf(c_25517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24723,c_137]) ).
tcf(c_25518,plain,
( aScalar0(sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25515,c_3750]) ).
tcf(c_25521,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25514,c_3750]) ).
tcf(c_25526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25517,c_3750]) ).
tcf(c_25534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25516,c_3750]) ).
tcf(c_25548,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xC,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3420]) ).
tcf(c_25549,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xB,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3419]) ).
tcf(c_25550,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xA,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3418]) ).
tcf(c_25551,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_12625]) ).
tcf(c_25552,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_12564]) ).
tcf(c_25553,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xN))) = sdtasdt0(sz0z00,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3636]) ).
tcf(c_25554,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = sdtasdt0(sz0z00,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3435]) ).
tcf(c_25555,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xN))),smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3192]) ).
tcf(c_25556,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),smndt0(smndt0(sdtasdt0(xC,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3146]) ).
tcf(c_25557,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_7435]) ).
tcf(c_25558,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_6889]) ).
tcf(c_25559,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xN)))) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3028]) ).
tcf(c_25560,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_2965]) ).
tcf(c_25561,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),sz0z00) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_2944]) ).
tcf(c_25562,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3007]) ).
tcf(c_25563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xN),X1),sdtasdt0(sdtasdt0(xC,xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_122]) ).
tcf(c_25564,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_2986]) ).
tcf(c_25565,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_124]) ).
tcf(c_25566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xN),X0),sdtasdt0(sdtasdt0(xC,xN),X1)) = sdtasdt0(sdtasdt0(xC,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_123]) ).
tcf(c_25567,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xN),X0),X1) = sdtasdt0(sdtasdt0(xC,xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_127]) ).
tcf(c_25568,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xN),X0),X1) = sdtpldt0(sdtasdt0(xC,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_125]) ).
tcf(c_25569,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xN)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_109]) ).
tcf(c_25570,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xN),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_108]) ).
tcf(c_25571,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xN)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xN),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_107]) ).
tcf(c_25572,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_115]) ).
tcf(c_25573,plain,
( ( sdtpldt0(sdtasdt0(xC,xN),smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_114]) ).
tcf(c_25574,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_116]) ).
tcf(c_25575,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_113]) ).
tcf(c_25576,plain,
( ( sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_112]) ).
tcf(c_25577,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xN)) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_111]) ).
tcf(c_25578,plain,
( ( sdtpldt0(sdtasdt0(xC,xN),sz0z00) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_110]) ).
tcf(c_25751,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24759,c_120]) ).
tcf(c_25752,plain,
( aScalar0(sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24759,c_94]) ).
tcf(c_25753,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_24759,c_137]) ).
tcf(c_25754,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_24759,c_137]) ).
tcf(c_25755,plain,
( aScalar0(sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25752,c_80]) ).
tcf(c_25758,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25751,c_80,c_3964]) ).
tcf(c_25762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25754,c_80]) ).
tcf(c_25770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25753,c_80,c_3964]) ).
tcf(c_25802,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3420]) ).
tcf(c_25803,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3419]) ).
tcf(c_25804,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3418]) ).
tcf(c_25805,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_12625]) ).
tcf(c_25806,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_12564]) ).
tcf(c_25807,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3636]) ).
tcf(c_25808,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3435]) ).
tcf(c_25809,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))),smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3192]) ).
tcf(c_25810,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3146]) ).
tcf(c_25811,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_7435]) ).
tcf(c_25812,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_6889]) ).
tcf(c_25813,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3028]) ).
tcf(c_25814,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_2965]) ).
tcf(c_25815,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_2944]) ).
tcf(c_25816,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3007]) ).
tcf(c_25817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X1),sdtasdt0(sdtasdt0(xC,smndt0(xN)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,smndt0(xN)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_122]) ).
tcf(c_25818,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_2986]) ).
tcf(c_25819,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,smndt0(xN)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_124]) ).
tcf(c_25820,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X0),sdtasdt0(sdtasdt0(xC,smndt0(xN)),X1)) = sdtasdt0(sdtasdt0(xC,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_123]) ).
tcf(c_25821,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X0),X1) = sdtasdt0(sdtasdt0(xC,smndt0(xN)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_127]) ).
tcf(c_25822,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,smndt0(xN)),X0),X1) = sdtpldt0(sdtasdt0(xC,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_125]) ).
tcf(c_25823,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,smndt0(xN))),X0) = smndt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_109]) ).
tcf(c_25824,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,smndt0(xN)),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_108]) ).
tcf(c_25825,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,smndt0(xN))),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,smndt0(xN)),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_107]) ).
tcf(c_25826,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),sdtasdt0(xC,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_115]) ).
tcf(c_25827,plain,
( ( sdtpldt0(sdtasdt0(xC,smndt0(xN)),smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_114]) ).
tcf(c_25828,plain,
( ( smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_116]) ).
tcf(c_25829,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_113]) ).
tcf(c_25830,plain,
( ( sdtasdt0(sdtasdt0(xC,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_112]) ).
tcf(c_25831,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,smndt0(xN))) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_111]) ).
tcf(c_25832,plain,
( ( sdtpldt0(sdtasdt0(xC,smndt0(xN)),sz0z00) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_110]) ).
tcf(c_25986,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_24732,c_120]) ).
tcf(c_25987,plain,
( aScalar0(sdtasdt0(xC,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_24732,c_94]) ).
tcf(c_25988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,sdtlbdtrb0(xs,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_24732,c_137]) ).
tcf(c_25989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xC,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_24732,c_137]) ).
tcf(c_26041,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xC,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3420]) ).
tcf(c_26042,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xB,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3419]) ).
tcf(c_26043,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xA,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3418]) ).
tcf(c_26044,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_12625]) ).
tcf(c_26045,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_12564]) ).
tcf(c_26046,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xA))) = sdtasdt0(sz0z00,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3636]) ).
tcf(c_26047,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = sdtasdt0(sz0z00,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3435]) ).
tcf(c_26048,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xA))),smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3192]) ).
tcf(c_26049,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),smndt0(smndt0(sdtasdt0(xC,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3146]) ).
tcf(c_26050,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_7435]) ).
tcf(c_26051,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_6889]) ).
tcf(c_26052,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xA)))) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3028]) ).
tcf(c_26053,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_2965]) ).
tcf(c_26054,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),sz0z00) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_2944]) ).
tcf(c_26055,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3007]) ).
tcf(c_26056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xA),X1),sdtasdt0(sdtasdt0(xC,xA),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xA),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_122]) ).
tcf(c_26057,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_2986]) ).
tcf(c_26058,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xA),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xA),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_124]) ).
tcf(c_26059,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xA),X0),sdtasdt0(sdtasdt0(xC,xA),X1)) = sdtasdt0(sdtasdt0(xC,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_123]) ).
tcf(c_26060,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xA),X0),X1) = sdtasdt0(sdtasdt0(xC,xA),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_127]) ).
tcf(c_26061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xA),X0),X1) = sdtpldt0(sdtasdt0(xC,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_125]) ).
tcf(c_26062,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xA)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_109]) ).
tcf(c_26063,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xA),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_108]) ).
tcf(c_26064,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xA)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xA),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_107]) ).
tcf(c_26065,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),sdtasdt0(xC,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_115]) ).
tcf(c_26066,plain,
( ( sdtpldt0(sdtasdt0(xC,xA),smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_114]) ).
tcf(c_26067,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_116]) ).
tcf(c_26068,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_113]) ).
tcf(c_26069,plain,
( ( sdtasdt0(sdtasdt0(xC,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_112]) ).
tcf(c_26070,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xA)) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_111]) ).
tcf(c_26071,plain,
( ( sdtpldt0(sdtasdt0(xC,xA),sz0z00) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_110]) ).
tcf(c_26380,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xC,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3420]) ).
tcf(c_26381,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xB,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3419]) ).
tcf(c_26382,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xA,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3418]) ).
tcf(c_26383,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xB))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_12625]) ).
tcf(c_26384,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xB)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_12564]) ).
tcf(c_26385,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xB))) = sdtasdt0(sz0z00,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3636]) ).
tcf(c_26386,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = sdtasdt0(sz0z00,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3435]) ).
tcf(c_26387,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xB))),smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3192]) ).
tcf(c_26388,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),smndt0(smndt0(sdtasdt0(xC,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3146]) ).
tcf(c_26389,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_7435]) ).
tcf(c_26390,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xB))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_6889]) ).
tcf(c_26391,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xB)))) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3028]) ).
tcf(c_26392,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_2965]) ).
tcf(c_26393,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),sz0z00) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_2944]) ).
tcf(c_26394,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3007]) ).
tcf(c_26395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xB),X1),sdtasdt0(sdtasdt0(xC,xB),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xB),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_122]) ).
tcf(c_26396,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xB)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_2986]) ).
tcf(c_26397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xB),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xB),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_124]) ).
tcf(c_26398,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xB),X0),sdtasdt0(sdtasdt0(xC,xB),X1)) = sdtasdt0(sdtasdt0(xC,xB),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_123]) ).
tcf(c_26399,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xB),X0),X1) = sdtasdt0(sdtasdt0(xC,xB),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_127]) ).
tcf(c_26400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xB),X0),X1) = sdtpldt0(sdtasdt0(xC,xB),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_125]) ).
tcf(c_26401,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xB)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xB),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_109]) ).
tcf(c_26402,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xB),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xB),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_108]) ).
tcf(c_26403,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xB)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xB),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_107]) ).
tcf(c_26404,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),sdtasdt0(xC,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_115]) ).
tcf(c_26405,plain,
( ( sdtpldt0(sdtasdt0(xC,xB),smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_114]) ).
tcf(c_26406,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_116]) ).
tcf(c_26407,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_113]) ).
tcf(c_26408,plain,
( ( sdtasdt0(sdtasdt0(xC,xB),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_112]) ).
tcf(c_26409,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xB)) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_111]) ).
tcf(c_26410,plain,
( ( sdtpldt0(sdtasdt0(xC,xB),sz0z00) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_110]) ).
tcf(c_26530,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_25149]) ).
tcf(c_26531,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_26530,c_62]) ).
tcf(c_26534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(superposition,[status(thm)],[c_26531,c_137]) ).
tcf(c_26535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xC)) ),
inference(superposition,[status(thm)],[c_26531,c_137]) ).
tcf(c_26536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26535,c_138]) ).
tcf(c_26544,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26534,c_138]) ).
tcf(c_26556,plain,
( ( sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_25150]) ).
tcf(c_26557,plain,
sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_26556,c_62]) ).
tcf(c_26560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(superposition,[status(thm)],[c_26557,c_137]) ).
tcf(c_26561,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xC)) ),
inference(superposition,[status(thm)],[c_26557,c_137]) ).
tcf(c_26562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26561,c_138]) ).
tcf(c_26570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26560,c_138,c_3316]) ).
tcf(c_26583,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xC,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3420]) ).
tcf(c_26584,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xB,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3419]) ).
tcf(c_26585,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xA,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3418]) ).
tcf(c_26586,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_12625]) ).
tcf(c_26587,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_12564]) ).
tcf(c_26588,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD))) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3636]) ).
tcf(c_26589,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3435]) ).
tcf(c_26590,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xD))),smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3192]) ).
tcf(c_26591,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),smndt0(smndt0(sdtasdt0(xC,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3146]) ).
tcf(c_26592,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_7435]) ).
tcf(c_26593,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_6889]) ).
tcf(c_26594,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3028]) ).
tcf(c_26595,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_2965]) ).
tcf(c_26596,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),sz0z00) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_2944]) ).
tcf(c_26597,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3007]) ).
tcf(c_26598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xD),X1),sdtasdt0(sdtasdt0(xC,xD),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_122]) ).
tcf(c_26599,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_2986]) ).
tcf(c_26600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xD),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xD),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_124]) ).
tcf(c_26601,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xD),X0),sdtasdt0(sdtasdt0(xC,xD),X1)) = sdtasdt0(sdtasdt0(xC,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_123]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xD),X0),X1) = sdtasdt0(sdtasdt0(xC,xD),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_127]) ).
tcf(c_26603,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),X0),X1) = sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_125]) ).
tcf(c_26604,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xD)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_109]) ).
tcf(c_26605,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xD),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_108]) ).
tcf(c_26606,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xD)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xD),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_107]) ).
tcf(c_26607,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),sdtasdt0(xC,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_115]) ).
tcf(c_26608,plain,
( ( sdtpldt0(sdtasdt0(xC,xD),smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_114]) ).
tcf(c_26609,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_116]) ).
tcf(c_26610,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_113]) ).
tcf(c_26611,plain,
( ( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_112]) ).
tcf(c_26612,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_111]) ).
tcf(c_26613,plain,
( ( sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_110]) ).
tcf(c_26807,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xC,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3420]) ).
tcf(c_26808,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xB,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3419]) ).
tcf(c_26809,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xA,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3418]) ).
tcf(c_26810,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_12625]) ).
tcf(c_26811,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_12564]) ).
tcf(c_26812,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xE))) = sdtasdt0(sz0z00,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3636]) ).
tcf(c_26813,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = sdtasdt0(sz0z00,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3435]) ).
tcf(c_26814,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xE))),smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3192]) ).
tcf(c_26815,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),smndt0(smndt0(sdtasdt0(xC,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3146]) ).
tcf(c_26816,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_7435]) ).
tcf(c_26817,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_6889]) ).
tcf(c_26818,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xE)))) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3028]) ).
tcf(c_26819,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_2965]) ).
tcf(c_26820,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),sz0z00) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_2944]) ).
tcf(c_26821,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3007]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xE),X1),sdtasdt0(sdtasdt0(xC,xE),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xE),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_122]) ).
tcf(c_26823,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_2986]) ).
tcf(c_26824,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xE),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xE),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_124]) ).
tcf(c_26825,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xE),X0),sdtasdt0(sdtasdt0(xC,xE),X1)) = sdtasdt0(sdtasdt0(xC,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_123]) ).
tcf(c_26826,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xE),X0),X1) = sdtasdt0(sdtasdt0(xC,xE),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_127]) ).
tcf(c_26827,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xE),X0),X1) = sdtpldt0(sdtasdt0(xC,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_125]) ).
tcf(c_26828,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xE)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_109]) ).
tcf(c_26829,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xE),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_108]) ).
tcf(c_26830,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xE)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xE),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_107]) ).
tcf(c_26831,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),sdtasdt0(xC,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_115]) ).
tcf(c_26832,plain,
( ( sdtpldt0(sdtasdt0(xC,xE),smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_114]) ).
tcf(c_26833,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_116]) ).
tcf(c_26834,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_113]) ).
tcf(c_26835,plain,
( ( sdtasdt0(sdtasdt0(xC,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_112]) ).
tcf(c_26836,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xE)) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_111]) ).
tcf(c_26837,plain,
( ( sdtpldt0(sdtasdt0(xC,xE),sz0z00) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_110]) ).
tcf(c_27079,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xC,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3420]) ).
tcf(c_27080,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xB,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3419]) ).
tcf(c_27081,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xA,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3418]) ).
tcf(c_27082,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_12625]) ).
tcf(c_27083,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_12564]) ).
tcf(c_27084,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xF))) = sdtasdt0(sz0z00,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3636]) ).
tcf(c_27085,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = sdtasdt0(sz0z00,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3435]) ).
tcf(c_27086,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xF))),smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3192]) ).
tcf(c_27087,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),smndt0(smndt0(sdtasdt0(xC,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3146]) ).
tcf(c_27088,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_7435]) ).
tcf(c_27089,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_6889]) ).
tcf(c_27090,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xF)))) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3028]) ).
tcf(c_27091,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_2965]) ).
tcf(c_27092,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),sz0z00) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_2944]) ).
tcf(c_27093,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3007]) ).
tcf(c_27094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xF),X1),sdtasdt0(sdtasdt0(xC,xF),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xF),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_122]) ).
tcf(c_27095,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_2986]) ).
tcf(c_27096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xF),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xF),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_124]) ).
tcf(c_27097,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xF),X0),sdtasdt0(sdtasdt0(xC,xF),X1)) = sdtasdt0(sdtasdt0(xC,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_123]) ).
tcf(c_27098,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xF),X0),X1) = sdtasdt0(sdtasdt0(xC,xF),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_127]) ).
tcf(c_27099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xF),X0),X1) = sdtpldt0(sdtasdt0(xC,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_125]) ).
tcf(c_27100,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xF)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_109]) ).
tcf(c_27101,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xF),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_108]) ).
tcf(c_27102,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xF)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xF),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_107]) ).
tcf(c_27103,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),sdtasdt0(xC,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_115]) ).
tcf(c_27104,plain,
( ( sdtpldt0(sdtasdt0(xC,xF),smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_114]) ).
tcf(c_27105,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_116]) ).
tcf(c_27106,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_113]) ).
tcf(c_27107,plain,
( ( sdtasdt0(sdtasdt0(xC,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_112]) ).
tcf(c_27108,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xF)) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_111]) ).
tcf(c_27109,plain,
( ( sdtpldt0(sdtasdt0(xC,xF),sz0z00) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_110]) ).
tcf(c_27336,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xC,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3420]) ).
tcf(c_27337,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xB,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3419]) ).
tcf(c_27338,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xA,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3418]) ).
tcf(c_27339,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_12625]) ).
tcf(c_27340,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_12564]) ).
tcf(c_27341,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xH))) = sdtasdt0(sz0z00,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3636]) ).
tcf(c_27342,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = sdtasdt0(sz0z00,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3435]) ).
tcf(c_27343,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xH))),smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3192]) ).
tcf(c_27344,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),smndt0(smndt0(sdtasdt0(xC,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3146]) ).
tcf(c_27345,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_7435]) ).
tcf(c_27346,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_6889]) ).
tcf(c_27347,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xH)))) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3028]) ).
tcf(c_27348,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_2965]) ).
tcf(c_27349,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),sz0z00) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_2944]) ).
tcf(c_27350,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3007]) ).
tcf(c_27351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xH),X1),sdtasdt0(sdtasdt0(xC,xH),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xH),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_122]) ).
tcf(c_27352,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_2986]) ).
tcf(c_27353,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xH),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xH),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_124]) ).
tcf(c_27354,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xH),X0),sdtasdt0(sdtasdt0(xC,xH),X1)) = sdtasdt0(sdtasdt0(xC,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_123]) ).
tcf(c_27355,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xH),X0),X1) = sdtasdt0(sdtasdt0(xC,xH),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_127]) ).
tcf(c_27356,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xH),X0),X1) = sdtpldt0(sdtasdt0(xC,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_125]) ).
tcf(c_27357,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xH)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_109]) ).
tcf(c_27358,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xH),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_108]) ).
tcf(c_27359,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xH)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xH),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_107]) ).
tcf(c_27360,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),sdtasdt0(xC,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_115]) ).
tcf(c_27361,plain,
( ( sdtpldt0(sdtasdt0(xC,xH),smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_114]) ).
tcf(c_27362,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_116]) ).
tcf(c_27363,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_113]) ).
tcf(c_27364,plain,
( ( sdtasdt0(sdtasdt0(xC,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_112]) ).
tcf(c_27365,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xH)) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_111]) ).
tcf(c_27366,plain,
( ( sdtpldt0(sdtasdt0(xC,xH),sz0z00) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_110]) ).
tcf(c_27504,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xC,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3420]) ).
tcf(c_27505,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xB,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3419]) ).
tcf(c_27506,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xA,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3418]) ).
tcf(c_27507,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_12625]) ).
tcf(c_27508,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_12564]) ).
tcf(c_27509,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xR))) = sdtasdt0(sz0z00,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3636]) ).
tcf(c_27510,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = sdtasdt0(sz0z00,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3435]) ).
tcf(c_27511,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xR))),smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3192]) ).
tcf(c_27512,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),smndt0(smndt0(sdtasdt0(xC,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3146]) ).
tcf(c_27513,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_7435]) ).
tcf(c_27514,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_6889]) ).
tcf(c_27515,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xR)))) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3028]) ).
tcf(c_27516,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_2965]) ).
tcf(c_27517,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),sz0z00) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_2944]) ).
tcf(c_27518,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3007]) ).
tcf(c_27519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xR),X1),sdtasdt0(sdtasdt0(xC,xR),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xR),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_122]) ).
tcf(c_27520,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_2986]) ).
tcf(c_27521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xR),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xR),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_124]) ).
tcf(c_27522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xR),X0),sdtasdt0(sdtasdt0(xC,xR),X1)) = sdtasdt0(sdtasdt0(xC,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_123]) ).
tcf(c_27523,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xR),X0),X1) = sdtasdt0(sdtasdt0(xC,xR),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_127]) ).
tcf(c_27524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xR),X0),X1) = sdtpldt0(sdtasdt0(xC,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_125]) ).
tcf(c_27525,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xR)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_109]) ).
tcf(c_27526,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xR),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_108]) ).
tcf(c_27527,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xR)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xR),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_107]) ).
tcf(c_27528,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),sdtasdt0(xC,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_115]) ).
tcf(c_27529,plain,
( ( sdtpldt0(sdtasdt0(xC,xR),smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_114]) ).
tcf(c_27530,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_116]) ).
tcf(c_27531,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_113]) ).
tcf(c_27532,plain,
( ( sdtasdt0(sdtasdt0(xC,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_112]) ).
tcf(c_27533,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xR)) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_111]) ).
tcf(c_27534,plain,
( ( sdtpldt0(sdtasdt0(xC,xR),sz0z00) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_110]) ).
tcf(c_27795,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xC,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3420]) ).
tcf(c_27796,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xB,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3419]) ).
tcf(c_27797,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xA,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3418]) ).
tcf(c_27798,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_12625]) ).
tcf(c_27799,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_12564]) ).
tcf(c_27800,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xP))) = sdtasdt0(sz0z00,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3636]) ).
tcf(c_27801,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = sdtasdt0(sz0z00,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3435]) ).
tcf(c_27802,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xP))),smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3192]) ).
tcf(c_27803,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),smndt0(smndt0(sdtasdt0(xC,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3146]) ).
tcf(c_27804,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_7435]) ).
tcf(c_27805,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_6889]) ).
tcf(c_27806,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xP)))) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3028]) ).
tcf(c_27807,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_2965]) ).
tcf(c_27808,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),sz0z00) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_2944]) ).
tcf(c_27809,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3007]) ).
tcf(c_27810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xP),X1),sdtasdt0(sdtasdt0(xC,xP),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xP),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_122]) ).
tcf(c_27811,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_2986]) ).
tcf(c_27812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xP),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xP),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_124]) ).
tcf(c_27813,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xP),X0),sdtasdt0(sdtasdt0(xC,xP),X1)) = sdtasdt0(sdtasdt0(xC,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_123]) ).
tcf(c_27814,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xP),X0),X1) = sdtasdt0(sdtasdt0(xC,xP),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_127]) ).
tcf(c_27815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xP),X0),X1) = sdtpldt0(sdtasdt0(xC,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_125]) ).
tcf(c_27816,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xP)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_109]) ).
tcf(c_27817,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xP),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_108]) ).
tcf(c_27818,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xP)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xP),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_107]) ).
tcf(c_27819,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),sdtasdt0(xC,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_115]) ).
tcf(c_27820,plain,
( ( sdtpldt0(sdtasdt0(xC,xP),smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_114]) ).
tcf(c_27821,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_116]) ).
tcf(c_27822,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_113]) ).
tcf(c_27823,plain,
( ( sdtasdt0(sdtasdt0(xC,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_112]) ).
tcf(c_27824,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xP)) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_111]) ).
tcf(c_27825,plain,
( ( sdtpldt0(sdtasdt0(xC,xP),sz0z00) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_110]) ).
tcf(c_28041,plain,
( aScalar0(sdtasdt0(xC,xS))
| ~ aScalar0(smndt0(xC)) ),
inference(global_subsumption_just,[status(thm)],[c_25466,c_78,c_15159,c_25466]) ).
tcf(c_28047,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xC,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3420]) ).
tcf(c_28048,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xB,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3419]) ).
tcf(c_28049,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xA,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3418]) ).
tcf(c_28050,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_12625]) ).
tcf(c_28051,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_12564]) ).
tcf(c_28052,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xS))) = sdtasdt0(sz0z00,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3636]) ).
tcf(c_28053,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = sdtasdt0(sz0z00,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3435]) ).
tcf(c_28054,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xS))),smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3192]) ).
tcf(c_28055,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),smndt0(smndt0(sdtasdt0(xC,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3146]) ).
tcf(c_28056,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_7435]) ).
tcf(c_28057,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_6889]) ).
tcf(c_28058,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xS)))) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3028]) ).
tcf(c_28059,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_2965]) ).
tcf(c_28060,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),sz0z00) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_2944]) ).
tcf(c_28061,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3007]) ).
tcf(c_28062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xC,xS),X1),sdtasdt0(sdtasdt0(xC,xS),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xS),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_122]) ).
tcf(c_28063,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_2986]) ).
tcf(c_28064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xS),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xC,xS),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_124]) ).
tcf(c_28065,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xC,xS),X0),sdtasdt0(sdtasdt0(xC,xS),X1)) = sdtasdt0(sdtasdt0(xC,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_123]) ).
tcf(c_28066,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xC,xS),X0),X1) = sdtasdt0(sdtasdt0(xC,xS),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_127]) ).
tcf(c_28067,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xS),X0),X1) = sdtpldt0(sdtasdt0(xC,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_125]) ).
tcf(c_28068,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xS)),X0) = smndt0(sdtasdt0(sdtasdt0(xC,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_109]) ).
tcf(c_28069,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xC,xS),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xC,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_108]) ).
tcf(c_28070,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xC,xS)),smndt0(X0)) = sdtasdt0(sdtasdt0(xC,xS),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_107]) ).
tcf(c_28071,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_115]) ).
tcf(c_28072,plain,
( ( sdtpldt0(sdtasdt0(xC,xS),smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_114]) ).
tcf(c_28073,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_116]) ).
tcf(c_28074,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_113]) ).
tcf(c_28075,plain,
( ( sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_112]) ).
tcf(c_28076,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xS)) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_111]) ).
tcf(c_28077,plain,
( ( sdtpldt0(sdtasdt0(xC,xS),sz0z00) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_110]) ).
tcf(c_28315,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_25575]) ).
tcf(c_28316,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28315,c_62]) ).
tcf(c_28319,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sdtasdt0(xC,xN),X0) ),
inference(superposition,[status(thm)],[c_28316,c_137]) ).
tcf(c_28320,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xN)) ),
inference(superposition,[status(thm)],[c_28316,c_137]) ).
tcf(c_28321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28320,c_138]) ).
tcf(c_28329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sdtasdt0(xC,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28319,c_138]) ).
tcf(c_28341,plain,
( ( sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_25576]) ).
tcf(c_28342,plain,
sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28341,c_62]) ).
tcf(c_28343,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_24733,c_120]) ).
tcf(c_28344,plain,
( aScalar0(sdtasdt0(xC,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_24733,c_94]) ).
tcf(c_28345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xC,sdtlbdtrb0(xt,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(smndt0(xC),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_24733,c_137]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xC,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_24733,c_137]) ).
tcf(c_28375,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sdtasdt0(xC,xN),X0) ),
inference(superposition,[status(thm)],[c_28342,c_137]) ).
tcf(c_28376,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xN)) ),
inference(superposition,[status(thm)],[c_28342,c_137]) ).
tcf(c_28377,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28376,c_138]) ).
tcf(c_28385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xN))
| ~ sdtlseqdt0(sdtasdt0(xC,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28375,c_138,c_3316]) ).
tcf(c_28396,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_28074]) ).
tcf(c_28397,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28396,c_62]) ).
tcf(c_28400,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sdtasdt0(xC,xS),X0) ),
inference(superposition,[status(thm)],[c_28397,c_137]) ).
tcf(c_28401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xS)) ),
inference(superposition,[status(thm)],[c_28397,c_137]) ).
tcf(c_28402,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28401,c_138]) ).
tcf(c_28410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sdtasdt0(xC,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28400,c_138]) ).
tcf(c_28422,plain,
( ( sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_118,c_28075]) ).
tcf(c_28423,plain,
sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28422,c_62]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sdtasdt0(xC,xS),X0) ),
inference(superposition,[status(thm)],[c_28423,c_137]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xS)) ),
inference(superposition,[status(thm)],[c_28423,c_137]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xC,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28427,c_138]) ).
tcf(c_28436,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xC,xS))
| ~ sdtlseqdt0(sdtasdt0(xC,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28426,c_138,c_3316]) ).
tcf(c_28455,plain,
sdtasdt0(smndt0(xD),smndt0(xA)) = sdtasdt0(xD,xA),
inference(superposition,[status(thm)],[c_58,c_3421]) ).
tcf(c_28456,plain,
sdtasdt0(smndt0(xD),smndt0(xB)) = sdtasdt0(xD,xB),
inference(superposition,[status(thm)],[c_60,c_3421]) ).
tcf(c_28457,plain,
sdtasdt0(smndt0(xD),smndt0(xC)) = sdtasdt0(xD,xC),
inference(superposition,[status(thm)],[c_62,c_3421]) ).
tcf(c_28458,plain,
sdtasdt0(smndt0(xD),smndt0(xD)) = sdtasdt0(xD,xD),
inference(superposition,[status(thm)],[c_64,c_3421]) ).
tcf(c_28459,plain,
sdtasdt0(smndt0(xD),smndt0(xE)) = sdtasdt0(xD,xE),
inference(superposition,[status(thm)],[c_66,c_3421]) ).
tcf(c_28460,plain,
sdtasdt0(smndt0(xD),smndt0(xF)) = sdtasdt0(xD,xF),
inference(superposition,[status(thm)],[c_68,c_3421]) ).
tcf(c_28461,plain,
sdtasdt0(smndt0(xD),smndt0(xG)) = sdtasdt0(xD,xG),
inference(superposition,[status(thm)],[c_70,c_3421]) ).
tcf(c_28462,plain,
sdtasdt0(smndt0(xD),smndt0(xH)) = sdtasdt0(xD,xH),
inference(superposition,[status(thm)],[c_72,c_3421]) ).
tcf(c_28463,plain,
sdtasdt0(smndt0(xD),smndt0(xR)) = sdtasdt0(xD,xR),
inference(superposition,[status(thm)],[c_74,c_3421]) ).
tcf(c_28464,plain,
sdtasdt0(smndt0(xD),smndt0(xP)) = sdtasdt0(xD,xP),
inference(superposition,[status(thm)],[c_76,c_3421]) ).
tcf(c_28465,plain,
sdtasdt0(smndt0(xD),smndt0(xS)) = sdtasdt0(xD,xS),
inference(superposition,[status(thm)],[c_78,c_3421]) ).
tcf(c_28466,plain,
sdtasdt0(smndt0(xD),smndt0(xN)) = sdtasdt0(xD,xN),
inference(superposition,[status(thm)],[c_80,c_3421]) ).
tcf(c_28467,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(X0,X1))) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3421]) ).
tcf(c_28468,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(xD,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3421]) ).
tcf(c_28469,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(smndt0(X0))) = sdtasdt0(xD,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3421]) ).
tcf(c_28470,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(sdtpldt0(X0,X1))) = sdtasdt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3421]) ).
tcf(c_28471,plain,
sdtasdt0(smndt0(xD),smndt0(sz0z00)) = sdtasdt0(xD,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3421]) ).
tcf(c_28472,plain,
sdtasdt0(smndt0(xD),smndt0(smndt0(xN))) = sdtasdt0(xD,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3421]) ).
tcf(c_28473,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xD,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3421]) ).
tcf(c_28474,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xD,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3421]) ).
tcf(c_28475,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xD,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3421]) ).
tcf(c_28476,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xD,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3421]) ).
tcf(c_28477,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xD,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3421]) ).
tcf(c_28478,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xD,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3421]) ).
tcf(c_28479,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xD,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3421]) ).
tcf(c_28480,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xD,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3421]) ).
tcf(c_28481,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xD,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3421]) ).
tcf(c_28482,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xD,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3421]) ).
tcf(c_28483,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xD,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3421]) ).
tcf(c_28484,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xD,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3421]) ).
tcf(c_28485,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xD,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3421]) ).
tcf(c_28486,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xD,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3421]) ).
tcf(c_28487,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xD,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3421]) ).
tcf(c_28488,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3421]) ).
tcf(c_28489,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xD,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3421]) ).
tcf(c_28490,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xD,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3421]) ).
tcf(c_28491,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xD,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3421]) ).
tcf(c_28492,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xD,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3421]) ).
tcf(c_28493,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xD,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3421]) ).
tcf(c_28494,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xD,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3421]) ).
tcf(c_28495,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xD,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3421]) ).
tcf(c_28496,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xD,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3421]) ).
tcf(c_28497,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xD,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3421]) ).
tcf(c_28498,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xD,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3421]) ).
tcf(c_28499,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xD,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3421]) ).
tcf(c_28500,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3421]) ).
tcf(c_28501,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xD,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3421]) ).
tcf(c_28502,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xD,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3421]) ).
tcf(c_28503,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xD,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3421]) ).
tcf(c_28504,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xD,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3421]) ).
tcf(c_28505,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xD,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3421]) ).
tcf(c_28506,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xD,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3421]) ).
tcf(c_28507,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xD,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3421]) ).
tcf(c_28508,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xD,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3421]) ).
tcf(c_28509,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xD,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3421]) ).
tcf(c_28510,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xD,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3421]) ).
tcf(c_28511,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3421]) ).
tcf(c_28513,plain,
sdtasdt0(smndt0(xD),xN) = sdtasdt0(xD,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_28472,c_3027]) ).
tcf(c_28890,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xA))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28455,c_120]) ).
tcf(c_28891,plain,
( aScalar0(sdtasdt0(xD,xA))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28455,c_94]) ).
tcf(c_28892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xA),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_28455,c_137]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28455,c_137]) ).
tcf(c_28936,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xB))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28456,c_120]) ).
tcf(c_28937,plain,
( aScalar0(sdtasdt0(xD,xB))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28456,c_94]) ).
tcf(c_28938,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xB),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_28456,c_137]) ).
tcf(c_28939,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28456,c_137]) ).
tcf(c_29002,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xC))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28457,c_120]) ).
tcf(c_29003,plain,
( aScalar0(sdtasdt0(xD,xC))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28457,c_94]) ).
tcf(c_29004,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xC),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_28457,c_137]) ).
tcf(c_29005,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28457,c_137]) ).
tcf(c_29033,plain,
( aScalar0(sdtasdt0(xD,xD))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28458,c_94]) ).
tcf(c_29034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xD),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28458,c_137]) ).
tcf(c_29035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28458,c_137]) ).
tcf(c_29037,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xD))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28458,c_136]) ).
tcf(c_29038,plain,
! [X0: $i] :
( ( smndt0(xD) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ( sdtasdt0(X0,X0) != sdtasdt0(xD,xD) ) ),
inference(superposition,[status(thm)],[c_28458,c_135]) ).
tcf(c_29124,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xD,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3421]) ).
tcf(c_29125,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xC,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3420]) ).
tcf(c_29126,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xB,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3419]) ).
tcf(c_29127,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xA,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3418]) ).
tcf(c_29128,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_12625]) ).
tcf(c_29129,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_12564]) ).
tcf(c_29130,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xD))) = sdtasdt0(sz0z00,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3636]) ).
tcf(c_29131,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = sdtasdt0(sz0z00,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3435]) ).
tcf(c_29132,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xD))),smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3192]) ).
tcf(c_29133,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),smndt0(smndt0(sdtasdt0(xD,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3146]) ).
tcf(c_29134,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_7435]) ).
tcf(c_29135,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_6889]) ).
tcf(c_29136,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xD)))) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3028]) ).
tcf(c_29137,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_2965]) ).
tcf(c_29138,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),sz0z00) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_2944]) ).
tcf(c_29139,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3007]) ).
tcf(c_29140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xD),X1),sdtasdt0(sdtasdt0(xD,xD),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xD),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_122]) ).
tcf(c_29141,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_2986]) ).
tcf(c_29142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xD),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xD),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_124]) ).
tcf(c_29143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xD),X0),sdtasdt0(sdtasdt0(xD,xD),X1)) = sdtasdt0(sdtasdt0(xD,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_123]) ).
tcf(c_29144,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xD),X0),X1) = sdtasdt0(sdtasdt0(xD,xD),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_127]) ).
tcf(c_29145,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xD),X0),X1) = sdtpldt0(sdtasdt0(xD,xD),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_125]) ).
tcf(c_29146,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xD)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_109]) ).
tcf(c_29147,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xD),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xD),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_108]) ).
tcf(c_29148,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xD)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xD),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_107]) ).
tcf(c_29149,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_115]) ).
tcf(c_29150,plain,
( ( sdtpldt0(sdtasdt0(xD,xD),smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_114]) ).
tcf(c_29151,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_116]) ).
tcf(c_29152,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_113]) ).
tcf(c_29153,plain,
( ( sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_112]) ).
tcf(c_29154,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xD)) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_111]) ).
tcf(c_29155,plain,
( ( sdtpldt0(sdtasdt0(xD,xD),sz0z00) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_110]) ).
tcf(c_29389,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(superposition,[status(thm)],[c_29037,c_91]) ).
tcf(c_29390,plain,
( ( sdtasdt0(xD,xD) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),sz0z00) ),
inference(superposition,[status(thm)],[c_29037,c_92]) ).
tcf(c_29391,plain,
( ( sdtasdt0(xD,xD) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29390,c_138]) ).
tcf(c_29396,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29389,c_138]) ).
tcf(c_29402,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28459,c_120]) ).
tcf(c_29403,plain,
( aScalar0(sdtasdt0(xD,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28459,c_94]) ).
tcf(c_29404,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xE),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28459,c_137]) ).
tcf(c_29405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xE))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28459,c_137]) ).
tcf(c_29489,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28460,c_120]) ).
tcf(c_29490,plain,
( aScalar0(sdtasdt0(xD,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28460,c_94]) ).
tcf(c_29491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xF),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28460,c_137]) ).
tcf(c_29492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28460,c_137]) ).
tcf(c_29537,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28461,c_120]) ).
tcf(c_29538,plain,
( aScalar0(sdtasdt0(xD,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28461,c_94]) ).
tcf(c_29539,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xG),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28461,c_137]) ).
tcf(c_29540,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28461,c_137]) ).
tcf(c_29570,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28462,c_120]) ).
tcf(c_29571,plain,
( aScalar0(sdtasdt0(xD,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28462,c_94]) ).
tcf(c_29572,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xH),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28462,c_137]) ).
tcf(c_29573,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xH))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28462,c_137]) ).
tcf(c_29645,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28463,c_120]) ).
tcf(c_29646,plain,
( aScalar0(sdtasdt0(xD,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28463,c_94]) ).
tcf(c_29647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xR),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28463,c_137]) ).
tcf(c_29648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28463,c_137]) ).
tcf(c_29675,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28464,c_120]) ).
tcf(c_29676,plain,
( aScalar0(sdtasdt0(xD,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28464,c_94]) ).
tcf(c_29677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28464,c_137]) ).
tcf(c_29678,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28464,c_137]) ).
tcf(c_29714,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28465,c_120]) ).
tcf(c_29715,plain,
( aScalar0(sdtasdt0(xD,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28465,c_94]) ).
tcf(c_29716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28465,c_137]) ).
tcf(c_29717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28465,c_137]) ).
tcf(c_29744,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28466,c_120]) ).
tcf(c_29745,plain,
( aScalar0(sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28466,c_94]) ).
tcf(c_29746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28466,c_137]) ).
tcf(c_29747,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28466,c_137]) ).
tcf(c_29748,plain,
( aScalar0(sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29745,c_3750]) ).
tcf(c_29751,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29744,c_3750]) ).
tcf(c_29756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29747,c_3750]) ).
tcf(c_29764,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29746,c_3750]) ).
tcf(c_29826,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xD,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3421]) ).
tcf(c_29827,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xC,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3420]) ).
tcf(c_29828,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xB,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3419]) ).
tcf(c_29829,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xA,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3418]) ).
tcf(c_29830,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_12625]) ).
tcf(c_29831,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_12564]) ).
tcf(c_29832,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xN))) = sdtasdt0(sz0z00,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3636]) ).
tcf(c_29833,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = sdtasdt0(sz0z00,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3435]) ).
tcf(c_29834,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xN))),smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3192]) ).
tcf(c_29835,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),smndt0(smndt0(sdtasdt0(xD,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3146]) ).
tcf(c_29836,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_7435]) ).
tcf(c_29837,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_6889]) ).
tcf(c_29838,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xN)))) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3028]) ).
tcf(c_29839,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_2965]) ).
tcf(c_29840,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),sz0z00) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_2944]) ).
tcf(c_29841,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3007]) ).
tcf(c_29842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xN),X1),sdtasdt0(sdtasdt0(xD,xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_122]) ).
tcf(c_29843,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_2986]) ).
tcf(c_29844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_124]) ).
tcf(c_29845,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xN),X0),sdtasdt0(sdtasdt0(xD,xN),X1)) = sdtasdt0(sdtasdt0(xD,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_123]) ).
tcf(c_29846,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xN),X0),X1) = sdtasdt0(sdtasdt0(xD,xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_127]) ).
tcf(c_29847,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xN),X0),X1) = sdtpldt0(sdtasdt0(xD,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_125]) ).
tcf(c_29848,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xN)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_109]) ).
tcf(c_29849,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xN),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_108]) ).
tcf(c_29850,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xN)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xN),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_107]) ).
tcf(c_29851,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_115]) ).
tcf(c_29852,plain,
( ( sdtpldt0(sdtasdt0(xD,xN),smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_114]) ).
tcf(c_29853,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_116]) ).
tcf(c_29854,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_113]) ).
tcf(c_29855,plain,
( ( sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_112]) ).
tcf(c_29856,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xN)) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_111]) ).
tcf(c_29857,plain,
( ( sdtpldt0(sdtasdt0(xD,xN),sz0z00) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_110]) ).
tcf(c_30012,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28513,c_120]) ).
tcf(c_30013,plain,
( aScalar0(sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28513,c_94]) ).
tcf(c_30014,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_28513,c_137]) ).
tcf(c_30015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28513,c_137]) ).
tcf(c_30016,plain,
( aScalar0(sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30013,c_80]) ).
tcf(c_30019,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30012,c_80,c_3964]) ).
tcf(c_30023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30015,c_80]) ).
tcf(c_30031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,smndt0(xN)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30014,c_80,c_3964]) ).
tcf(c_30044,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3421]) ).
tcf(c_30045,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3420]) ).
tcf(c_30046,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3419]) ).
tcf(c_30047,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3418]) ).
tcf(c_30048,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_12625]) ).
tcf(c_30049,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_12564]) ).
tcf(c_30050,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3636]) ).
tcf(c_30051,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3435]) ).
tcf(c_30052,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))),smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3192]) ).
tcf(c_30053,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3146]) ).
tcf(c_30054,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_7435]) ).
tcf(c_30055,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_6889]) ).
tcf(c_30056,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3028]) ).
tcf(c_30057,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_2965]) ).
tcf(c_30058,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_2944]) ).
tcf(c_30059,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3007]) ).
tcf(c_30060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X1),sdtasdt0(sdtasdt0(xD,smndt0(xN)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,smndt0(xN)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_122]) ).
tcf(c_30061,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_2986]) ).
tcf(c_30062,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,smndt0(xN)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_124]) ).
tcf(c_30063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X0),sdtasdt0(sdtasdt0(xD,smndt0(xN)),X1)) = sdtasdt0(sdtasdt0(xD,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_123]) ).
tcf(c_30064,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X0),X1) = sdtasdt0(sdtasdt0(xD,smndt0(xN)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_127]) ).
tcf(c_30065,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,smndt0(xN)),X0),X1) = sdtpldt0(sdtasdt0(xD,smndt0(xN)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_125]) ).
tcf(c_30066,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,smndt0(xN))),X0) = smndt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_109]) ).
tcf(c_30067,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,smndt0(xN)),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,smndt0(xN)),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_108]) ).
tcf(c_30068,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,smndt0(xN))),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,smndt0(xN)),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_107]) ).
tcf(c_30069,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),sdtasdt0(xD,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_115]) ).
tcf(c_30070,plain,
( ( sdtpldt0(sdtasdt0(xD,smndt0(xN)),smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_114]) ).
tcf(c_30071,plain,
( ( smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_116]) ).
tcf(c_30072,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_113]) ).
tcf(c_30073,plain,
( ( sdtasdt0(sdtasdt0(xD,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_112]) ).
tcf(c_30074,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,smndt0(xN))) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_111]) ).
tcf(c_30075,plain,
( ( sdtpldt0(sdtasdt0(xD,smndt0(xN)),sz0z00) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_110]) ).
tcf(c_30288,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xD,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3421]) ).
tcf(c_30289,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xC,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3420]) ).
tcf(c_30290,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xB,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3419]) ).
tcf(c_30291,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xA,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3418]) ).
tcf(c_30292,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_12625]) ).
tcf(c_30293,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_12564]) ).
tcf(c_30294,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xA))) = sdtasdt0(sz0z00,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3636]) ).
tcf(c_30295,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = sdtasdt0(sz0z00,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3435]) ).
tcf(c_30296,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xA))),smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3192]) ).
tcf(c_30297,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),smndt0(smndt0(sdtasdt0(xD,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3146]) ).
tcf(c_30298,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_7435]) ).
tcf(c_30299,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_6889]) ).
tcf(c_30300,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xA)))) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3028]) ).
tcf(c_30301,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_2965]) ).
tcf(c_30302,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),sz0z00) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_2944]) ).
tcf(c_30303,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3007]) ).
tcf(c_30304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xA),X1),sdtasdt0(sdtasdt0(xD,xA),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xA),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_122]) ).
tcf(c_30305,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_2986]) ).
tcf(c_30306,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xA),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xA),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_124]) ).
tcf(c_30307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xA),X0),sdtasdt0(sdtasdt0(xD,xA),X1)) = sdtasdt0(sdtasdt0(xD,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_123]) ).
tcf(c_30308,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xA),X0),X1) = sdtasdt0(sdtasdt0(xD,xA),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_127]) ).
tcf(c_30309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xA),X0),X1) = sdtpldt0(sdtasdt0(xD,xA),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_125]) ).
tcf(c_30310,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xA)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_109]) ).
tcf(c_30311,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xA),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xA),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_108]) ).
tcf(c_30312,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xA)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xA),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_107]) ).
tcf(c_30313,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),sdtasdt0(xD,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_115]) ).
tcf(c_30314,plain,
( ( sdtpldt0(sdtasdt0(xD,xA),smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_114]) ).
tcf(c_30315,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_116]) ).
tcf(c_30316,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_113]) ).
tcf(c_30317,plain,
( ( sdtasdt0(sdtasdt0(xD,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_112]) ).
tcf(c_30318,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xA)) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_111]) ).
tcf(c_30319,plain,
( ( sdtpldt0(sdtasdt0(xD,xA),sz0z00) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_110]) ).
tcf(c_30534,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xD,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3421]) ).
tcf(c_30535,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xC,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3420]) ).
tcf(c_30536,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xB,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3419]) ).
tcf(c_30537,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xA,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3418]) ).
tcf(c_30538,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xB))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_12625]) ).
tcf(c_30539,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xB)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_12564]) ).
tcf(c_30540,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xB))) = sdtasdt0(sz0z00,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3636]) ).
tcf(c_30541,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = sdtasdt0(sz0z00,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3435]) ).
tcf(c_30542,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xB))),smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3192]) ).
tcf(c_30543,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),smndt0(smndt0(sdtasdt0(xD,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3146]) ).
tcf(c_30544,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_7435]) ).
tcf(c_30545,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xB))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_6889]) ).
tcf(c_30546,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xB)))) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3028]) ).
tcf(c_30547,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_2965]) ).
tcf(c_30548,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),sz0z00) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_2944]) ).
tcf(c_30549,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3007]) ).
tcf(c_30550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xB),X1),sdtasdt0(sdtasdt0(xD,xB),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xB),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_122]) ).
tcf(c_30551,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xB)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_2986]) ).
tcf(c_30552,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xB),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xB),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_124]) ).
tcf(c_30553,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xB),X0),sdtasdt0(sdtasdt0(xD,xB),X1)) = sdtasdt0(sdtasdt0(xD,xB),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_123]) ).
tcf(c_30554,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xB),X0),X1) = sdtasdt0(sdtasdt0(xD,xB),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_127]) ).
tcf(c_30555,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xB),X0),X1) = sdtpldt0(sdtasdt0(xD,xB),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_125]) ).
tcf(c_30556,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xB)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xB),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_109]) ).
tcf(c_30557,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xB),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xB),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_108]) ).
tcf(c_30558,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xB)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xB),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_107]) ).
tcf(c_30559,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),sdtasdt0(xD,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_115]) ).
tcf(c_30560,plain,
( ( sdtpldt0(sdtasdt0(xD,xB),smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_114]) ).
tcf(c_30561,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_116]) ).
tcf(c_30562,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_113]) ).
tcf(c_30563,plain,
( ( sdtasdt0(sdtasdt0(xD,xB),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_112]) ).
tcf(c_30564,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xB)) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_111]) ).
tcf(c_30565,plain,
( ( sdtpldt0(sdtasdt0(xD,xB),sz0z00) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_110]) ).
tcf(c_30844,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xD,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3421]) ).
tcf(c_30845,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xC,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3420]) ).
tcf(c_30846,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xB,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3419]) ).
tcf(c_30847,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xA,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3418]) ).
tcf(c_30848,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_12625]) ).
tcf(c_30849,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_12564]) ).
tcf(c_30850,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xC))) = sdtasdt0(sz0z00,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3636]) ).
tcf(c_30851,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = sdtasdt0(sz0z00,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3435]) ).
tcf(c_30852,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xC))),smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3192]) ).
tcf(c_30853,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),smndt0(smndt0(sdtasdt0(xD,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3146]) ).
tcf(c_30854,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_7435]) ).
tcf(c_30855,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_6889]) ).
tcf(c_30856,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xC)))) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3028]) ).
tcf(c_30857,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_2965]) ).
tcf(c_30858,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),sz0z00) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_2944]) ).
tcf(c_30859,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3007]) ).
tcf(c_30860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xC),X1),sdtasdt0(sdtasdt0(xD,xC),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xC),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_122]) ).
tcf(c_30861,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_2986]) ).
tcf(c_30862,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xC),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xC),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_124]) ).
tcf(c_30863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xC),X0),sdtasdt0(sdtasdt0(xD,xC),X1)) = sdtasdt0(sdtasdt0(xD,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_123]) ).
tcf(c_30864,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xC),X0),X1) = sdtasdt0(sdtasdt0(xD,xC),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_127]) ).
tcf(c_30865,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xC),X0),X1) = sdtpldt0(sdtasdt0(xD,xC),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_125]) ).
tcf(c_30866,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xC)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_109]) ).
tcf(c_30867,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xC),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xC),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_108]) ).
tcf(c_30868,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xC)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xC),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_107]) ).
tcf(c_30869,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),sdtasdt0(xD,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_115]) ).
tcf(c_30870,plain,
( ( sdtpldt0(sdtasdt0(xD,xC),smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_114]) ).
tcf(c_30871,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_116]) ).
tcf(c_30872,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_113]) ).
tcf(c_30873,plain,
( ( sdtasdt0(sdtasdt0(xD,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_112]) ).
tcf(c_30874,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xC)) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_111]) ).
tcf(c_30875,plain,
( ( sdtpldt0(sdtasdt0(xD,xC),sz0z00) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_110]) ).
tcf(c_31104,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_29152]) ).
tcf(c_31105,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_31104,c_64]) ).
tcf(c_31108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(superposition,[status(thm)],[c_31105,c_137]) ).
tcf(c_31109,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xD)) ),
inference(superposition,[status(thm)],[c_31105,c_137]) ).
tcf(c_31110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31109,c_138]) ).
tcf(c_31118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31108,c_138]) ).
tcf(c_31130,plain,
( ( sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_29153]) ).
tcf(c_31131,plain,
sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_31130,c_64]) ).
tcf(c_31134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(superposition,[status(thm)],[c_31131,c_137]) ).
tcf(c_31135,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xD)) ),
inference(superposition,[status(thm)],[c_31131,c_137]) ).
tcf(c_31136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31135,c_138]) ).
tcf(c_31144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31134,c_138,c_3316]) ).
tcf(c_31175,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xD,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3421]) ).
tcf(c_31176,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xC,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3420]) ).
tcf(c_31177,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xB,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3419]) ).
tcf(c_31178,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xA,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3418]) ).
tcf(c_31179,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_12625]) ).
tcf(c_31180,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_12564]) ).
tcf(c_31181,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xE))) = sdtasdt0(sz0z00,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3636]) ).
tcf(c_31182,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = sdtasdt0(sz0z00,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3435]) ).
tcf(c_31183,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xE))),smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3192]) ).
tcf(c_31184,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),smndt0(smndt0(sdtasdt0(xD,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3146]) ).
tcf(c_31185,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_7435]) ).
tcf(c_31186,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_6889]) ).
tcf(c_31187,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xE)))) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3028]) ).
tcf(c_31188,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_2965]) ).
tcf(c_31189,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),sz0z00) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_2944]) ).
tcf(c_31190,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3007]) ).
tcf(c_31191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xE),X1),sdtasdt0(sdtasdt0(xD,xE),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xE),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_122]) ).
tcf(c_31192,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_2986]) ).
tcf(c_31193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xE),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xE),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_124]) ).
tcf(c_31194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xE),X0),sdtasdt0(sdtasdt0(xD,xE),X1)) = sdtasdt0(sdtasdt0(xD,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_123]) ).
tcf(c_31195,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xE),X0),X1) = sdtasdt0(sdtasdt0(xD,xE),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_127]) ).
tcf(c_31196,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xE),X0),X1) = sdtpldt0(sdtasdt0(xD,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_125]) ).
tcf(c_31197,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xE)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_109]) ).
tcf(c_31198,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xE),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_108]) ).
tcf(c_31199,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xE)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xE),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_107]) ).
tcf(c_31200,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),sdtasdt0(xD,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_115]) ).
tcf(c_31201,plain,
( ( sdtpldt0(sdtasdt0(xD,xE),smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_114]) ).
tcf(c_31202,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_116]) ).
tcf(c_31203,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_113]) ).
tcf(c_31204,plain,
( ( sdtasdt0(sdtasdt0(xD,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_112]) ).
tcf(c_31205,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xE)) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_111]) ).
tcf(c_31206,plain,
( ( sdtpldt0(sdtasdt0(xD,xE),sz0z00) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_110]) ).
tcf(c_31406,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xD,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3421]) ).
tcf(c_31407,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xC,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3420]) ).
tcf(c_31408,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xB,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3419]) ).
tcf(c_31409,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xA,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3418]) ).
tcf(c_31410,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_12625]) ).
tcf(c_31411,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_12564]) ).
tcf(c_31412,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xF))) = sdtasdt0(sz0z00,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3636]) ).
tcf(c_31413,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = sdtasdt0(sz0z00,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3435]) ).
tcf(c_31414,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xF))),smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3192]) ).
tcf(c_31415,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),smndt0(smndt0(sdtasdt0(xD,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3146]) ).
tcf(c_31416,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_7435]) ).
tcf(c_31417,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_6889]) ).
tcf(c_31418,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xF)))) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3028]) ).
tcf(c_31419,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_2965]) ).
tcf(c_31420,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),sz0z00) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_2944]) ).
tcf(c_31421,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3007]) ).
tcf(c_31422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xF),X1),sdtasdt0(sdtasdt0(xD,xF),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xF),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_122]) ).
tcf(c_31423,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_2986]) ).
tcf(c_31424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xF),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xF),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_124]) ).
tcf(c_31425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xF),X0),sdtasdt0(sdtasdt0(xD,xF),X1)) = sdtasdt0(sdtasdt0(xD,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_123]) ).
tcf(c_31426,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xF),X0),X1) = sdtasdt0(sdtasdt0(xD,xF),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_127]) ).
tcf(c_31427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xF),X0),X1) = sdtpldt0(sdtasdt0(xD,xF),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_125]) ).
tcf(c_31428,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xF)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_109]) ).
tcf(c_31429,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xF),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xF),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_108]) ).
tcf(c_31430,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xF)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xF),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_107]) ).
tcf(c_31431,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),sdtasdt0(xD,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_115]) ).
tcf(c_31432,plain,
( ( sdtpldt0(sdtasdt0(xD,xF),smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_114]) ).
tcf(c_31433,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_116]) ).
tcf(c_31434,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_113]) ).
tcf(c_31435,plain,
( ( sdtasdt0(sdtasdt0(xD,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_112]) ).
tcf(c_31436,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xF)) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_111]) ).
tcf(c_31437,plain,
( ( sdtpldt0(sdtasdt0(xD,xF),sz0z00) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_110]) ).
tcf(c_31711,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xD,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3421]) ).
tcf(c_31712,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xC,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3420]) ).
tcf(c_31713,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xB,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3419]) ).
tcf(c_31714,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xA,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3418]) ).
tcf(c_31715,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_12625]) ).
tcf(c_31716,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_12564]) ).
tcf(c_31717,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xG))) = sdtasdt0(sz0z00,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3636]) ).
tcf(c_31718,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = sdtasdt0(sz0z00,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3435]) ).
tcf(c_31719,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xG))),smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3192]) ).
tcf(c_31720,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),smndt0(smndt0(sdtasdt0(xD,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3146]) ).
tcf(c_31721,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_7435]) ).
tcf(c_31722,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_6889]) ).
tcf(c_31723,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xG)))) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3028]) ).
tcf(c_31724,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_2965]) ).
tcf(c_31725,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),sz0z00) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_2944]) ).
tcf(c_31726,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3007]) ).
tcf(c_31727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xG),X1),sdtasdt0(sdtasdt0(xD,xG),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xG),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_122]) ).
tcf(c_31728,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_2986]) ).
tcf(c_31729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xG),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xG),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_124]) ).
tcf(c_31730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xG),X0),sdtasdt0(sdtasdt0(xD,xG),X1)) = sdtasdt0(sdtasdt0(xD,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_123]) ).
tcf(c_31731,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xG),X0),X1) = sdtasdt0(sdtasdt0(xD,xG),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_127]) ).
tcf(c_31732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xG),X0),X1) = sdtpldt0(sdtasdt0(xD,xG),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_125]) ).
tcf(c_31733,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xG)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_109]) ).
tcf(c_31734,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xG),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xG),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_108]) ).
tcf(c_31735,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xG)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xG),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_107]) ).
tcf(c_31736,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),sdtasdt0(xD,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_115]) ).
tcf(c_31737,plain,
( ( sdtpldt0(sdtasdt0(xD,xG),smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_114]) ).
tcf(c_31738,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_116]) ).
tcf(c_31739,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_113]) ).
tcf(c_31740,plain,
( ( sdtasdt0(sdtasdt0(xD,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_112]) ).
tcf(c_31741,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xG)) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_111]) ).
tcf(c_31742,plain,
( ( sdtpldt0(sdtasdt0(xD,xG),sz0z00) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_110]) ).
tcf(c_32019,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_28476,c_120]) ).
tcf(c_32020,plain,
( aScalar0(sdtasdt0(xD,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_28476,c_94]) ).
tcf(c_32021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,sdtlbdtrb0(xs,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) ),
inference(superposition,[status(thm)],[c_28476,c_137]) ).
tcf(c_32022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xD,sdtlbdtrb0(xs,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,sz00))) ),
inference(superposition,[status(thm)],[c_28476,c_137]) ).
tcf(c_32093,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xD,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3421]) ).
tcf(c_32094,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xC,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3420]) ).
tcf(c_32095,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xB,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3419]) ).
tcf(c_32096,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xA,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3418]) ).
tcf(c_32097,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_12625]) ).
tcf(c_32098,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_12564]) ).
tcf(c_32099,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xH))) = sdtasdt0(sz0z00,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3636]) ).
tcf(c_32100,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = sdtasdt0(sz0z00,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3435]) ).
tcf(c_32101,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xH))),smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3192]) ).
tcf(c_32102,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),smndt0(smndt0(sdtasdt0(xD,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3146]) ).
tcf(c_32103,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_7435]) ).
tcf(c_32104,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_6889]) ).
tcf(c_32105,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xH)))) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3028]) ).
tcf(c_32106,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_2965]) ).
tcf(c_32107,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),sz0z00) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_2944]) ).
tcf(c_32108,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3007]) ).
tcf(c_32109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xH),X1),sdtasdt0(sdtasdt0(xD,xH),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xH),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_122]) ).
tcf(c_32110,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_2986]) ).
tcf(c_32111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xH),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xH),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_124]) ).
tcf(c_32112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xH),X0),sdtasdt0(sdtasdt0(xD,xH),X1)) = sdtasdt0(sdtasdt0(xD,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_123]) ).
tcf(c_32113,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xH),X0),X1) = sdtasdt0(sdtasdt0(xD,xH),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_127]) ).
tcf(c_32114,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xH),X0),X1) = sdtpldt0(sdtasdt0(xD,xH),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_125]) ).
tcf(c_32115,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xH)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_109]) ).
tcf(c_32116,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xH),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xH),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_108]) ).
tcf(c_32117,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xH)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xH),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_107]) ).
tcf(c_32118,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),sdtasdt0(xD,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_115]) ).
tcf(c_32119,plain,
( ( sdtpldt0(sdtasdt0(xD,xH),smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_114]) ).
tcf(c_32120,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_116]) ).
tcf(c_32121,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_113]) ).
tcf(c_32122,plain,
( ( sdtasdt0(sdtasdt0(xD,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_112]) ).
tcf(c_32123,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xH)) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_111]) ).
tcf(c_32124,plain,
( ( sdtpldt0(sdtasdt0(xD,xH),sz0z00) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_110]) ).
tcf(c_32311,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xD,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3421]) ).
tcf(c_32312,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xC,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3420]) ).
tcf(c_32313,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xB,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3419]) ).
tcf(c_32314,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xA,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3418]) ).
tcf(c_32315,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_12625]) ).
tcf(c_32316,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_12564]) ).
tcf(c_32317,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xR))) = sdtasdt0(sz0z00,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3636]) ).
tcf(c_32318,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = sdtasdt0(sz0z00,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3435]) ).
tcf(c_32319,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xR))),smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3192]) ).
tcf(c_32320,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),smndt0(smndt0(sdtasdt0(xD,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3146]) ).
tcf(c_32321,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_7435]) ).
tcf(c_32322,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_6889]) ).
tcf(c_32323,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xR)))) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3028]) ).
tcf(c_32324,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_2965]) ).
tcf(c_32325,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),sz0z00) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_2944]) ).
tcf(c_32326,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3007]) ).
tcf(c_32327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xR),X1),sdtasdt0(sdtasdt0(xD,xR),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xR),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_122]) ).
tcf(c_32328,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_2986]) ).
tcf(c_32329,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xR),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xR),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_124]) ).
tcf(c_32330,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xR),X0),sdtasdt0(sdtasdt0(xD,xR),X1)) = sdtasdt0(sdtasdt0(xD,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_123]) ).
tcf(c_32331,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xR),X0),X1) = sdtasdt0(sdtasdt0(xD,xR),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_127]) ).
tcf(c_32332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xR),X0),X1) = sdtpldt0(sdtasdt0(xD,xR),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_125]) ).
tcf(c_32333,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xR)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_109]) ).
tcf(c_32334,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xR),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xR),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_108]) ).
tcf(c_32335,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xR)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xR),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_107]) ).
tcf(c_32336,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),sdtasdt0(xD,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_115]) ).
tcf(c_32337,plain,
( ( sdtpldt0(sdtasdt0(xD,xR),smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_114]) ).
tcf(c_32338,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_116]) ).
tcf(c_32339,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_113]) ).
tcf(c_32340,plain,
( ( sdtasdt0(sdtasdt0(xD,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_112]) ).
tcf(c_32341,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xR)) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_111]) ).
tcf(c_32342,plain,
( ( sdtpldt0(sdtasdt0(xD,xR),sz0z00) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_110]) ).
tcf(c_32593,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xD,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3421]) ).
tcf(c_32594,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xC,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3420]) ).
tcf(c_32595,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xB,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3419]) ).
tcf(c_32596,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xA,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3418]) ).
tcf(c_32597,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_12625]) ).
tcf(c_32598,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_12564]) ).
tcf(c_32599,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xP))) = sdtasdt0(sz0z00,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3636]) ).
tcf(c_32600,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = sdtasdt0(sz0z00,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3435]) ).
tcf(c_32601,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xP))),smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3192]) ).
tcf(c_32602,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),smndt0(smndt0(sdtasdt0(xD,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3146]) ).
tcf(c_32603,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_7435]) ).
tcf(c_32604,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_6889]) ).
tcf(c_32605,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xP)))) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3028]) ).
tcf(c_32606,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_2965]) ).
tcf(c_32607,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),sz0z00) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_2944]) ).
tcf(c_32608,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3007]) ).
tcf(c_32609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xP),X1),sdtasdt0(sdtasdt0(xD,xP),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xP),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_122]) ).
tcf(c_32610,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_2986]) ).
tcf(c_32611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xP),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xP),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_124]) ).
tcf(c_32612,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xP),X0),sdtasdt0(sdtasdt0(xD,xP),X1)) = sdtasdt0(sdtasdt0(xD,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_123]) ).
tcf(c_32613,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xP),X0),X1) = sdtasdt0(sdtasdt0(xD,xP),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_127]) ).
tcf(c_32614,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xP),X0),X1) = sdtpldt0(sdtasdt0(xD,xP),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_125]) ).
tcf(c_32615,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xP)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_109]) ).
tcf(c_32616,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xP),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xP),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_108]) ).
tcf(c_32617,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xP)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xP),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_107]) ).
tcf(c_32618,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),sdtasdt0(xD,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_115]) ).
tcf(c_32619,plain,
( ( sdtpldt0(sdtasdt0(xD,xP),smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_114]) ).
tcf(c_32620,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_116]) ).
tcf(c_32621,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_113]) ).
tcf(c_32622,plain,
( ( sdtasdt0(sdtasdt0(xD,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_112]) ).
tcf(c_32623,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xP)) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_111]) ).
tcf(c_32624,plain,
( ( sdtpldt0(sdtasdt0(xD,xP),sz0z00) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_110]) ).
tcf(c_32920,plain,
( aScalar0(sdtasdt0(xD,xS))
| ~ aScalar0(smndt0(xD)) ),
inference(global_subsumption_just,[status(thm)],[c_29715,c_78,c_15159,c_29715]) ).
tcf(c_32926,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xD,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3421]) ).
tcf(c_32927,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xC,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3420]) ).
tcf(c_32928,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xB,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3419]) ).
tcf(c_32929,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xA,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3418]) ).
tcf(c_32930,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_12625]) ).
tcf(c_32931,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_12564]) ).
tcf(c_32932,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xS))) = sdtasdt0(sz0z00,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3636]) ).
tcf(c_32933,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = sdtasdt0(sz0z00,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3435]) ).
tcf(c_32934,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xS))),smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3192]) ).
tcf(c_32935,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),smndt0(smndt0(sdtasdt0(xD,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3146]) ).
tcf(c_32936,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_7435]) ).
tcf(c_32937,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_6889]) ).
tcf(c_32938,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xS)))) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3028]) ).
tcf(c_32939,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_2965]) ).
tcf(c_32940,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),sz0z00) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_2944]) ).
tcf(c_32941,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3007]) ).
tcf(c_32942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xD,xS),X1),sdtasdt0(sdtasdt0(xD,xS),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xS),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_122]) ).
tcf(c_32943,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_2986]) ).
tcf(c_32944,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xS),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xD,xS),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_124]) ).
tcf(c_32945,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xD,xS),X0),sdtasdt0(sdtasdt0(xD,xS),X1)) = sdtasdt0(sdtasdt0(xD,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_123]) ).
tcf(c_32946,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xD,xS),X0),X1) = sdtasdt0(sdtasdt0(xD,xS),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_127]) ).
tcf(c_32947,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,xS),X0),X1) = sdtpldt0(sdtasdt0(xD,xS),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_125]) ).
tcf(c_32948,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xS)),X0) = smndt0(sdtasdt0(sdtasdt0(xD,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_109]) ).
tcf(c_32949,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xD,xS),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xD,xS),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_108]) ).
tcf(c_32950,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xD,xS)),smndt0(X0)) = sdtasdt0(sdtasdt0(xD,xS),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_107]) ).
tcf(c_32951,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_115]) ).
tcf(c_32952,plain,
( ( sdtpldt0(sdtasdt0(xD,xS),smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_114]) ).
tcf(c_32953,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_116]) ).
tcf(c_32954,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_113]) ).
tcf(c_32955,plain,
( ( sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_112]) ).
tcf(c_32956,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xS)) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_111]) ).
tcf(c_32957,plain,
( ( sdtpldt0(sdtasdt0(xD,xS),sz0z00) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_110]) ).
tcf(c_33133,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_29854]) ).
tcf(c_33134,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33133,c_64]) ).
tcf(c_33137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sdtasdt0(xD,xN),X0) ),
inference(superposition,[status(thm)],[c_33134,c_137]) ).
tcf(c_33138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xN)) ),
inference(superposition,[status(thm)],[c_33134,c_137]) ).
tcf(c_33139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33138,c_138]) ).
tcf(c_33147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sdtasdt0(xD,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33137,c_138]) ).
tcf(c_33159,plain,
( ( sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_29855]) ).
tcf(c_33160,plain,
sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33159,c_64]) ).
tcf(c_33163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sdtasdt0(xD,xN),X0) ),
inference(superposition,[status(thm)],[c_33160,c_137]) ).
tcf(c_33164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xN)) ),
inference(superposition,[status(thm)],[c_33160,c_137]) ).
tcf(c_33165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33164,c_138]) ).
tcf(c_33173,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xN))
| ~ sdtlseqdt0(sdtasdt0(xD,xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33163,c_138,c_3316]) ).
tcf(c_33185,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_32954]) ).
tcf(c_33186,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33185,c_64]) ).
tcf(c_33189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sdtasdt0(xD,xS),X0) ),
inference(superposition,[status(thm)],[c_33186,c_137]) ).
tcf(c_33190,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xS)) ),
inference(superposition,[status(thm)],[c_33186,c_137]) ).
tcf(c_33191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33190,c_138]) ).
tcf(c_33199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sdtasdt0(xD,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33189,c_138]) ).
tcf(c_33217,plain,
( ( sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_118,c_32955]) ).
tcf(c_33218,plain,
sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33217,c_64]) ).
tcf(c_33221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sdtasdt0(xD,xS),X0) ),
inference(superposition,[status(thm)],[c_33218,c_137]) ).
tcf(c_33222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xS)) ),
inference(superposition,[status(thm)],[c_33218,c_137]) ).
tcf(c_33223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(X0,sdtasdt0(xD,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33222,c_138]) ).
tcf(c_33231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtasdt0(xD,xS))
| ~ sdtlseqdt0(sdtasdt0(xD,xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33221,c_138,c_3316]) ).
tcf(c_33249,plain,
sdtasdt0(smndt0(xE),smndt0(xA)) = sdtasdt0(xE,xA),
inference(superposition,[status(thm)],[c_58,c_3422]) ).
tcf(c_33250,plain,
sdtasdt0(smndt0(xE),smndt0(xB)) = sdtasdt0(xE,xB),
inference(superposition,[status(thm)],[c_60,c_3422]) ).
tcf(c_33251,plain,
sdtasdt0(smndt0(xE),smndt0(xC)) = sdtasdt0(xE,xC),
inference(superposition,[status(thm)],[c_62,c_3422]) ).
tcf(c_33252,plain,
sdtasdt0(smndt0(xE),smndt0(xD)) = sdtasdt0(xE,xD),
inference(superposition,[status(thm)],[c_64,c_3422]) ).
tcf(c_33253,plain,
sdtasdt0(smndt0(xE),smndt0(xE)) = sdtasdt0(xE,xE),
inference(superposition,[status(thm)],[c_66,c_3422]) ).
tcf(c_33254,plain,
sdtasdt0(smndt0(xE),smndt0(xF)) = sdtasdt0(xE,xF),
inference(superposition,[status(thm)],[c_68,c_3422]) ).
tcf(c_33255,plain,
sdtasdt0(smndt0(xE),smndt0(xG)) = sdtasdt0(xE,xG),
inference(superposition,[status(thm)],[c_70,c_3422]) ).
tcf(c_33256,plain,
sdtasdt0(smndt0(xE),smndt0(xH)) = sdtasdt0(xE,xH),
inference(superposition,[status(thm)],[c_72,c_3422]) ).
tcf(c_33257,plain,
sdtasdt0(smndt0(xE),smndt0(xR)) = sdtasdt0(xE,xR),
inference(superposition,[status(thm)],[c_74,c_3422]) ).
tcf(c_33258,plain,
sdtasdt0(smndt0(xE),smndt0(xP)) = sdtasdt0(xE,xP),
inference(superposition,[status(thm)],[c_76,c_3422]) ).
tcf(c_33259,plain,
sdtasdt0(smndt0(xE),smndt0(xS)) = sdtasdt0(xE,xS),
inference(superposition,[status(thm)],[c_78,c_3422]) ).
tcf(c_33260,plain,
sdtasdt0(smndt0(xE),smndt0(xN)) = sdtasdt0(xE,xN),
inference(superposition,[status(thm)],[c_80,c_3422]) ).
tcf(c_33261,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(X0,X1))) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_3422]) ).
tcf(c_33262,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(X0,X1))) = sdtasdt0(xE,sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_106,c_3422]) ).
tcf(c_33263,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(smndt0(X0))) = sdtasdt0(xE,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_118,c_3422]) ).
tcf(c_33264,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(sdtpldt0(X0,X1))) = sdtasdt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_3422]) ).
tcf(c_33265,plain,
sdtasdt0(smndt0(xE),smndt0(sz0z00)) = sdtasdt0(xE,sz0z00),
inference(superposition,[status(thm)],[c_138,c_3422]) ).
tcf(c_33266,plain,
sdtasdt0(smndt0(xE),smndt0(smndt0(xN))) = sdtasdt0(xE,smndt0(xN)),
inference(superposition,[status(thm)],[c_3750,c_3422]) ).
tcf(c_33267,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xE,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3056,c_3422]) ).
tcf(c_33268,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xE,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3722,c_3422]) ).
tcf(c_33269,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xE,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25255,c_3422]) ).
tcf(c_33270,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xE,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_10575,c_3422]) ).
tcf(c_33271,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xE,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_10181,c_3422]) ).
tcf(c_33272,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xE,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17320,c_3422]) ).
tcf(c_33273,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xE,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17350,c_3422]) ).
tcf(c_33274,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xE,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17396,c_3422]) ).
tcf(c_33275,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xE,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17426,c_3422]) ).
tcf(c_33276,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xE,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17468,c_3422]) ).
tcf(c_33277,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xE,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17498,c_3422]) ).
tcf(c_33278,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xE,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17540,c_3422]) ).
tcf(c_33279,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xE,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17570,c_3422]) ).
tcf(c_33280,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xE,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_20705,c_3422]) ).
tcf(c_33281,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xE,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17647,c_3422]) ).
tcf(c_33282,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17887,c_3422]) ).
tcf(c_33283,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xE,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21122,c_3422]) ).
tcf(c_33284,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xE,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21182,c_3422]) ).
tcf(c_33285,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xE,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21242,c_3422]) ).
tcf(c_33286,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xE,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21272,c_3422]) ).
tcf(c_33287,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xE,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21302,c_3422]) ).
tcf(c_33288,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xE,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21332,c_3422]) ).
tcf(c_33289,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xE,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21362,c_3422]) ).
tcf(c_33290,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xE,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21392,c_3422]) ).
tcf(c_33291,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xE,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21422,c_3422]) ).
tcf(c_33292,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xE,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_24447,c_3422]) ).
tcf(c_33293,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xE,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21485,c_3422]) ).
tcf(c_33294,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21663,c_3422]) ).
tcf(c_33295,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xE,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_24994,c_3422]) ).
tcf(c_33296,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xE,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25024,c_3422]) ).
tcf(c_33297,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xE,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25085,c_3422]) ).
tcf(c_33298,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xE,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25316,c_3422]) ).
tcf(c_33299,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xE,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25346,c_3422]) ).
tcf(c_33300,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xE,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25376,c_3422]) ).
tcf(c_33301,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xE,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25406,c_3422]) ).
tcf(c_33302,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xE,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25436,c_3422]) ).
tcf(c_33303,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xE,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28041,c_3422]) ).
tcf(c_33304,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xE,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25518,c_3422]) ).
tcf(c_33305,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25755,c_3422]) ).
tcf(c_33306,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xE,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28891,c_3422]) ).
tcf(c_33307,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xE,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28937,c_3422]) ).
tcf(c_33308,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xE,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29003,c_3422]) ).
tcf(c_33309,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xE,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29033,c_3422]) ).
tcf(c_33310,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xE,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29403,c_3422]) ).
tcf(c_33311,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xE,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29490,c_3422]) ).
tcf(c_33312,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xE,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29538,c_3422]) ).
tcf(c_33313,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xE,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29571,c_3422]) ).
tcf(c_33314,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xE,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29646,c_3422]) ).
tcf(c_33315,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xE,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29676,c_3422]) ).
tcf(c_33316,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xE,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_32920,c_3422]) ).
tcf(c_33317,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xE,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29748,c_3422]) ).
tcf(c_33318,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30016,c_3422]) ).
tcf(c_33320,plain,
sdtasdt0(smndt0(xE),smndt0(xH)) = xP,
inference(light_normalisation,[status(thm)],[c_33256,c_77]) ).
tcf(c_33321,plain,
sdtasdt0(smndt0(xE),xN) = sdtasdt0(xE,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_33266,c_3027]) ).
tcf(c_33718,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33320,c_120]) ).
tcf(c_33720,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33320,c_137]) ).
tcf(c_33721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xH))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33320,c_137]) ).
tcf(c_33757,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xA))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_33249,c_120]) ).
tcf(c_33758,plain,
( aScalar0(sdtasdt0(xE,xA))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_33249,c_94]) ).
tcf(c_33759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xA),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_33249,c_137]) ).
tcf(c_33760,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xA))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33249,c_137]) ).
tcf(c_33806,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xB))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_33250,c_120]) ).
tcf(c_33807,plain,
( aScalar0(sdtasdt0(xE,xB))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_33250,c_94]) ).
tcf(c_33808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xB),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_33250,c_137]) ).
tcf(c_33809,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xB))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33250,c_137]) ).
tcf(c_33840,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_28477,c_120]) ).
tcf(c_33841,plain,
( aScalar0(sdtasdt0(xD,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_28477,c_94]) ).
tcf(c_33842,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xD,sdtlbdtrb0(xt,sz00)),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(smndt0(xD),X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) ),
inference(superposition,[status(thm)],[c_28477,c_137]) ).
tcf(c_33843,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(xD,sdtlbdtrb0(xt,sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,sz00)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,sz00))) ),
inference(superposition,[status(thm)],[c_28477,c_137]) ).
tcf(c_33885,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xC))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_33251,c_120]) ).
tcf(c_33886,plain,
( aScalar0(sdtasdt0(xE,xC))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_33251,c_94]) ).
tcf(c_33887,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xC),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_33251,c_137]) ).
tcf(c_33888,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33251,c_137]) ).
tcf(c_33915,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xD))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33252,c_120]) ).
tcf(c_33916,plain,
( aScalar0(sdtasdt0(xE,xD))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33252,c_94]) ).
tcf(c_33917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xD),sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_33252,c_137]) ).
tcf(c_33918,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xD))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33252,c_137]) ).
tcf(c_33993,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33253,c_94]) ).
tcf(c_33994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ~ sdtlseqdt0(smndt0(xE),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33253,c_137]) ).
tcf(c_33995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xE))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33253,c_137]) ).
tcf(c_33997,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33253,c_136]) ).
tcf(c_33998,plain,
! [X0: $i] :
( ( smndt0(xE) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(xE))
| ( sdtasdt0(X0,X0) != sdtasdt0(xE,xE) ) ),
inference(superposition,[status(thm)],[c_33253,c_135]) ).
tcf(c_34030,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3422]) ).
tcf(c_34031,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xD,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3421]) ).
tcf(c_34032,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xC,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3420]) ).
tcf(c_34033,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xB,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3419]) ).
tcf(c_34034,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xA,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3418]) ).
tcf(c_34035,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xE,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_12625]) ).
tcf(c_34036,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xE,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_12564]) ).
tcf(c_34037,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xE))) = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3636]) ).
tcf(c_34038,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE))) = sdtasdt0(sz0z00,sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3435]) ).
tcf(c_34039,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xE,xE))),smndt0(sdtasdt0(xE,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3192]) ).
tcf(c_34040,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xE)),smndt0(smndt0(sdtasdt0(xE,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3146]) ).
tcf(c_34041,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xE,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_7435]) ).
tcf(c_34042,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xE,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_6889]) ).
tcf(c_34043,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xE,xE)))) = smndt0(sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3028]) ).
tcf(c_34044,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xE,xE))) = smndt0(sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_2965]) ).
tcf(c_34045,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xE)),sz0z00) = smndt0(sdtasdt0(xE,xE)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_2944]) ).
tcf(c_34046,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_3007]) ).
tcf(c_34047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xE,xE),X1),sdtasdt0(sdtasdt0(xE,xE),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xE,xE),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_122]) ).
tcf(c_34048,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xE,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_2986]) ).
tcf(c_34049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xE,xE),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xE,xE),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_124]) ).
tcf(c_34050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xE,xE),X0),sdtasdt0(sdtasdt0(xE,xE),X1)) = sdtasdt0(sdtasdt0(xE,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_123]) ).
tcf(c_34051,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),X0),X1) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_127]) ).
tcf(c_34052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),X0),X1) = sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_125]) ).
tcf(c_34053,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xE,xE)),X0) = smndt0(sdtasdt0(sdtasdt0(xE,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_109]) ).
tcf(c_34054,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xE,xE),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xE,xE),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_108]) ).
tcf(c_34055,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xE,xE)),smndt0(X0)) = sdtasdt0(sdtasdt0(xE,xE),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_107]) ).
tcf(c_34056,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xE)),sdtasdt0(xE,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_115]) ).
tcf(c_34057,plain,
( ( sdtpldt0(sdtasdt0(xE,xE),smndt0(sdtasdt0(xE,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_114]) ).
tcf(c_34058,plain,
( ( smndt0(smndt0(sdtasdt0(xE,xE))) = sdtasdt0(xE,xE) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_116]) ).
tcf(c_34059,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xE,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_113]) ).
tcf(c_34060,plain,
( ( sdtasdt0(sdtasdt0(xE,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_112]) ).
tcf(c_34061,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xE,xE)) = sdtasdt0(xE,xE) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_111]) ).
tcf(c_34062,plain,
( ( sdtpldt0(sdtasdt0(xE,xE),sz0z00) = sdtasdt0(xE,xE) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33993,c_110]) ).
tcf(c_34265,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),X0) ),
inference(superposition,[status(thm)],[c_33997,c_91]) ).
tcf(c_34266,plain,
( ( sdtasdt0(xE,xE) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sz0z00) ),
inference(superposition,[status(thm)],[c_33997,c_92]) ).
tcf(c_34267,plain,
( ( sdtasdt0(xE,xE) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34266,c_138]) ).
tcf(c_34272,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34265,c_138]) ).
tcf(c_34278,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33254,c_120]) ).
tcf(c_34279,plain,
( aScalar0(sdtasdt0(xE,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33254,c_94]) ).
tcf(c_34280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xF),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xF))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33254,c_137]) ).
tcf(c_34281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33254,c_137]) ).
tcf(c_34327,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33255,c_120]) ).
tcf(c_34328,plain,
( aScalar0(sdtasdt0(xE,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33255,c_94]) ).
tcf(c_34329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xG),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xG))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33255,c_137]) ).
tcf(c_34330,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33255,c_137]) ).
tcf(c_34380,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33257,c_120]) ).
tcf(c_34381,plain,
( aScalar0(sdtasdt0(xE,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33257,c_94]) ).
tcf(c_34382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xR),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xR))
| ~ sdtlseqdt0(smndt0(xR),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33257,c_137]) ).
tcf(c_34383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33257,c_137]) ).
tcf(c_34442,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33258,c_120]) ).
tcf(c_34443,plain,
( aScalar0(sdtasdt0(xE,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33258,c_94]) ).
tcf(c_34444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xP),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ sdtlseqdt0(smndt0(xP),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33258,c_137]) ).
tcf(c_34445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xP))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33258,c_137]) ).
tcf(c_34499,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33259,c_120]) ).
tcf(c_34500,plain,
( aScalar0(sdtasdt0(xE,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33259,c_94]) ).
tcf(c_34501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xS),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(smndt0(xS),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33259,c_137]) ).
tcf(c_34502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33259,c_137]) ).
tcf(c_34542,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33260,c_120]) ).
tcf(c_34543,plain,
( aScalar0(sdtasdt0(xE,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33260,c_94]) ).
tcf(c_34544,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_33260,c_137]) ).
tcf(c_34545,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_33260,c_137]) ).
tcf(c_34546,plain,
( aScalar0(sdtasdt0(xE,xN))
| ~ aScalar0(smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34543,c_3750]) ).
tcf(c_34549,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xE,xN))
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34542,c_3750]) ).
tcf(c_34554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(xE,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34545,c_3750]) ).
tcf(c_34562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(xE,xN),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xN),X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34544,c_3750]) ).
tcf(c_34585,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xE,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3422]) ).
tcf(c_34586,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xD,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3421]) ).
tcf(c_34587,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xC,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3420]) ).
tcf(c_34588,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xB,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3419]) ).
tcf(c_34589,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xA,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3418]) ).
tcf(c_34590,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xE,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_12625]) ).
tcf(c_34591,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xE,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_12564]) ).
tcf(c_34592,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xE,xN))) = sdtasdt0(sz0z00,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3636]) ).
tcf(c_34593,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xN))) = sdtasdt0(sz0z00,sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3435]) ).
tcf(c_34594,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xE,xN))),smndt0(sdtasdt0(xE,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3192]) ).
tcf(c_34595,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xN)),smndt0(smndt0(sdtasdt0(xE,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3146]) ).
tcf(c_34596,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xE,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_7435]) ).
tcf(c_34597,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xE,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_6889]) ).
tcf(c_34598,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xE,xN)))) = smndt0(sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3028]) ).
tcf(c_34599,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xE,xN))) = smndt0(sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_2965]) ).
tcf(c_34600,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xN)),sz0z00) = smndt0(sdtasdt0(xE,xN)) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_2944]) ).
tcf(c_34601,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xE,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_3007]) ).
tcf(c_34602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xE,xN),X1),sdtasdt0(sdtasdt0(xE,xN),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasdt0(xE,xN),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_122]) ).
tcf(c_34603,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xE,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_2986]) ).
tcf(c_34604,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xE,xN),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xE,xN),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_124]) ).
tcf(c_34605,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xE,xN),X0),sdtasdt0(sdtasdt0(xE,xN),X1)) = sdtasdt0(sdtasdt0(xE,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_123]) ).
tcf(c_34606,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xN),X0),X1) = sdtasdt0(sdtasdt0(xE,xN),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_127]) ).
tcf(c_34607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xN),X0),X1) = sdtpldt0(sdtasdt0(xE,xN),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_125]) ).
tcf(c_34608,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xE,xN)),X0) = smndt0(sdtasdt0(sdtasdt0(xE,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_109]) ).
tcf(c_34609,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xE,xN),smndt0(X0)) = smndt0(sdtasdt0(sdtasdt0(xE,xN),X0)) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_108]) ).
tcf(c_34610,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(xE,xN)),smndt0(X0)) = sdtasdt0(sdtasdt0(xE,xN),X0) )
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_107]) ).
tcf(c_34611,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xE,xN)),sdtasdt0(xE,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_115]) ).
tcf(c_34612,plain,
( ( sdtpldt0(sdtasdt0(xE,xN),smndt0(sdtasdt0(xE,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_114]) ).
tcf(c_34613,plain,
( ( smndt0(smndt0(sdtasdt0(xE,xN))) = sdtasdt0(xE,xN) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_116]) ).
tcf(c_34614,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xE,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_113]) ).
tcf(c_34615,plain,
( ( sdtasdt0(sdtasdt0(xE,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_112]) ).
tcf(c_34616,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xE,xN)) = sdtasdt0(xE,xN) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_111]) ).
tcf(c_34617,plain,
( ( sdtpldt0(sdtasdt0(xE,xN),sz0z00) = sdtasdt0(xE,xN) )
| ~ aScalar0(smndt0(xE)) ),
inference(superposition,[status(thm)],[c_34546,c_110]) ).
tcf(c_34865,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_34617,c_34616,c_34615,c_34614,c_34613,c_34612,c_34611,c_34610,c_34609,c_34608,c_34607,c_34606,c_34605,c_34604,c_34603,c_34602,c_34601,c_34600,c_34599,c_34598,c_34597,c_34596,c_34595,c_34594,c_34593,c_34592,c_34591,c_34590,c_34589,c_34588,c_34587,c_34586,c_34585,c_34562,c_34554,c_34549,c_34546,c_34545,c_34544,c_34543,c_34542,c_34502,c_34501,c_34500,c_34499,c_34445,c_34444,c_34443,c_34442,c_34383,c_34382,c_34381,c_34380,c_34330,c_34329,c_34328,c_34327,c_34281,c_34280,c_34279,c_34278,c_34272,c_34267,c_34266,c_34265,c_34062,c_34061,c_34060,c_34059,c_34058,c_34057,c_34056,c_34055,c_34054,c_34053,c_34052,c_34051,c_34050,c_34049,c_34048,c_34047,c_34046,c_34045,c_34044,c_34043,c_34042,c_34041,c_34040,c_34039,c_34038,c_34037,c_34036,c_34035,c_34034,c_34033,c_34032,c_34031,c_34030,c_33997,c_33998,c_33995,c_33994,c_33993,c_33918,c_33917,c_33916,c_33915,c_33888,c_33887,c_33886,c_33885,c_33843,c_33842,c_33841,c_33840,c_33809,c_33808,c_33807,c_33806,c_33760,c_33759,c_33758,c_33757,c_33721,c_33720,c_33718,c_33321,c_33320,c_33318,c_33317,c_33316,c_33315,c_33314,c_33313,c_33312,c_33311,c_33310,c_33309,c_33308,c_33307,c_33306,c_33305,c_33304,c_33303,c_33302,c_33301,c_33300,c_33299,c_33298,c_33297,c_33296,c_33295,c_33294,c_33293,c_33292,c_33291,c_33290,c_33289,c_33288,c_33287,c_33286,c_33285,c_33284,c_33283,c_33282,c_33281,c_33280,c_33279,c_33278,c_33277,c_33276,c_33275,c_33274,c_33273,c_33272,c_33271,c_33270,c_33269,c_33268,c_33267,c_33266,c_33265,c_33264,c_33263,c_33262,c_33261,c_33260,c_33259,c_33258,c_33257,c_33256,c_33255,c_33254,c_33253,c_33252,c_33251,c_33250,c_33249,c_33231,c_33223,c_33222,c_33221,c_33218,c_33217,c_33199,c_33191,c_33190,c_33189,c_33186,c_33185,c_33173,c_33165,c_33164,c_33163,c_33160,c_33159,c_33147,c_33139,c_33138,c_33137,c_33134,c_33133,c_32957,c_32956,c_32955,c_32954,c_32953,c_32952,c_32951,c_32950,c_32949,c_32948,c_32947,c_32946,c_32945,c_32944,c_32943,c_32942,c_32941,c_32940,c_32939,c_32938,c_32937,c_32936,c_32935,c_32934,c_32933,c_32932,c_32931,c_32930,c_32929,c_32928,c_32927,c_32926,c_32920,c_32624,c_32623,c_32622,c_32621,c_32620,c_32619,c_32618,c_32617,c_32616,c_32615,c_32614,c_32613,c_32612,c_32611,c_32610,c_32609,c_32608,c_32607,c_32606,c_32605,c_32604,c_32603,c_32602,c_32601,c_32600,c_32599,c_32598,c_32597,c_32596,c_32595,c_32594,c_32593,c_32342,c_32341,c_32340,c_32339,c_32338,c_32337,c_32336,c_32335,c_32334,c_32333,c_32332,c_32331,c_32330,c_32329,c_32328,c_32327,c_32326,c_32325,c_32324,c_32323,c_32322,c_32321,c_32320,c_32319,c_32318,c_32317,c_32316,c_32315,c_32314,c_32313,c_32312,c_32311,c_32124,c_32123,c_32122,c_32121,c_32120,c_32119,c_32118,c_32117,c_32116,c_32115,c_32114,c_32113,c_32112,c_32111,c_32110,c_32109,c_32108,c_32107,c_32106,c_32105,c_32104,c_32103,c_32102,c_32101,c_32100,c_32099,c_32098,c_32097,c_32096,c_32095,c_32094,c_32093,c_32022,c_32021,c_32020,c_32019,c_31742,c_31741,c_31740,c_31739,c_31738,c_31737,c_31736,c_31735,c_31734,c_31733,c_31732,c_31731,c_31730,c_31729,c_31728,c_31727,c_31726,c_31725,c_31724,c_31723,c_31722,c_31721,c_31720,c_31719,c_31718,c_31717,c_31716,c_31715,c_31714,c_31713,c_31712,c_31711,c_31437,c_31436,c_31435,c_31434,c_31433,c_31432,c_31431,c_31430,c_31429,c_31428,c_31427,c_31426,c_31425,c_31424,c_31423,c_31422,c_31421,c_31420,c_31419,c_31418,c_31417,c_31416,c_31415,c_31414,c_31413,c_31412,c_31411,c_31410,c_31409,c_31408,c_31407,c_31406,c_31206,c_31205,c_31204,c_31203,c_31202,c_31201,c_31200,c_31199,c_31198,c_31197,c_31196,c_31195,c_31194,c_31193,c_31192,c_31191,c_31190,c_31189,c_31188,c_31187,c_31186,c_31185,c_31184,c_31183,c_31182,c_31181,c_31180,c_31179,c_31178,c_31177,c_31176,c_31175,c_31144,c_31136,c_31135,c_31134,c_31131,c_31130,c_31118,c_31110,c_31109,c_31108,c_31105,c_31104,c_30875,c_30874,c_30873,c_30872,c_30871,c_30870,c_30869,c_30868,c_30867,c_30866,c_30865,c_30864,c_30863,c_30862,c_30861,c_30860,c_30859,c_30858,c_30857,c_30856,c_30855,c_30854,c_30853,c_30852,c_30851,c_30850,c_30849,c_30848,c_30847,c_30846,c_30845,c_30844,c_30565,c_30564,c_30563,c_30562,c_30561,c_30560,c_30559,c_30558,c_30557,c_30556,c_30555,c_30554,c_30553,c_30552,c_30551,c_30550,c_30549,c_30548,c_30547,c_30546,c_30545,c_30544,c_30543,c_30542,c_30541,c_30540,c_30539,c_30538,c_30537,c_30536,c_30535,c_30534,c_30319,c_30318,c_30317,c_30316,c_30315,c_30314,c_30313,c_30312,c_30311,c_30310,c_30309,c_30308,c_30307,c_30306,c_30305,c_30304,c_30303,c_30302,c_30301,c_30300,c_30299,c_30298,c_30297,c_30296,c_30295,c_30294,c_30293,c_30292,c_30291,c_30290,c_30289,c_30288,c_30075,c_30074,c_30073,c_30072,c_30071,c_30070,c_30069,c_30068,c_30067,c_30066,c_30065,c_30064,c_30063,c_30062,c_30061,c_30060,c_30059,c_30058,c_30057,c_30056,c_30055,c_30054,c_30053,c_30052,c_30051,c_30050,c_30049,c_30048,c_30047,c_30046,c_30045,c_30044,c_30031,c_30023,c_30019,c_30016,c_30015,c_30014,c_30013,c_30012,c_29857,c_29856,c_29855,c_29854,c_29853,c_29852,c_29851,c_29850,c_29849,c_29848,c_29847,c_29846,c_29845,c_29844,c_29843,c_29842,c_29841,c_29840,c_29839,c_29838,c_29837,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n009.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 08:01:13 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 21.42/4.78 % SZS status Started for theBenchmark.p
% 21.42/4.78 % SZS status Theorem for theBenchmark.p
% 21.42/4.78
% 21.42/4.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.42/4.78
% 21.42/4.78 % ------ iProver source info
% 21.42/4.78
% 21.42/4.78 % git: date: 2026-07-19 20:42:38 +0200
% 21.42/4.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.42/4.78 % git: non_committed_changes: false
% 21.42/4.78
% 21.42/4.78 % ------ Parsing...
% 21.42/4.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.42/4.78
% 21.42/4.78 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 21.42/4.78
% 21.42/4.78 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.42/4.78
% 21.42/4.78 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 21.42/4.78 % ------ Proving...
% 21.42/4.78 % ------ Problem Properties
% 21.42/4.78
% 21.42/4.78 %
% 21.42/4.78 % clauses 92
% 21.42/4.78 % conjectures 1
% 21.42/4.78 % EPR 25
% 21.42/4.78 % Horn 80
% 21.42/4.78 % unary 41
% 21.42/4.78 % binary 17
% 21.42/4.78 % lits 224
% 21.42/4.78 % lits eq 71
% 21.42/4.78 % fd_pure 0
% 21.42/4.78 % fd_pseudo 0
% 21.42/4.78 % fd_cond 1
% 21.42/4.78 % fd_pseudo_cond 5
% 21.42/4.78 % AC symbols 0
% 21.42/4.78
% 21.42/4.78 % ------ Schedule dynamic 5 is on
% 21.42/4.78
% 21.42/4.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.42/4.78
% 21.42/4.78
% 21.42/4.78 % ------
% 21.42/4.78 % Current options:
% 21.42/4.78 % ------
% 21.42/4.78
% 21.42/4.78
% 21.42/4.78 %
% 21.42/4.78
% 21.42/4.78 % ------ Proving...
% 21.42/4.78 %
% 21.42/4.78
% 21.42/4.78 % SZS status Theorem for theBenchmark.p
% 21.42/4.78
% 21.42/4.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.71/4.91
% 29.71/4.91
%------------------------------------------------------------------------------