%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG060+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:38:30 PM UTC 2026
% Result : Theorem 29.31s 4.80s
% Output : CNFRefutation 29.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 5244 ( 772 unt; 0 def)
% Number of atoms : 20446 (3501 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 28497 (13295 ~;15022 |; 129 &)
% ( 3 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 8 ( 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 : 4386 ( 0 sgn4380 !; 6 ?;4080 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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,
( xp = sziznziztdt0(xs)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f70,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f71,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f72,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f88,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
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(ennf_transformation,[],[f32]) ).
fof(f91,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,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f92]) ).
fof(f94,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(f95,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,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f96]) ).
fof(f98,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(f99,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f102,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(f103,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,[],[f102]) ).
fof(f104,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(f105,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f106,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(f107,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,[],[f106]) ).
fof(f108,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(f109,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,[],[f108]) ).
fof(f110,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(f111,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,[],[f110]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f114,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(f115,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,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f116]) ).
fof(f118,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(f119,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f121,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(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(sK0(X0)) = X0
& aNaturalNumber0(sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f88]) ).
fof(f124,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,[],[f91]) ).
fof(f125,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,[],[f124]) ).
fof(f126,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,[],[f125]) ).
fof(f127,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(sK1(X0,X1))
& sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f126]) ).
fof(f128,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f129,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f130,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(f131,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f132,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f133,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f69]) ).
fof(f134,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f135,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f69]) ).
fof(f136,plain,
aVector0(xp),
inference(cnf_transformation,[],[f69]) ).
fof(f137,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f70]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f139,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
aVector0(xq),
inference(cnf_transformation,[],[f70]) ).
fof(f141,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f142,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f143,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f144,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f145,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f146,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f147,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f148,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f150,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f151,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f152,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f153,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f154,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f155,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f156,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f157,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f158,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f159,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f160,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f161,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f162,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f163,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f164,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f165,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f166,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f167,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f168,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f169,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f170,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(f171,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f172,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f176,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f178,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f181,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f182,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f183,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f184,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f185,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aNaturalNumber0(sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f191,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f192,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,[],[f95]) ).
fof(f193,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f194,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f195,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f197,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f198,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f104]) ).
fof(f199,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f200,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f201,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f202,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f203,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f104]) ).
fof(f204,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f205,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f206,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f207,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f208,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f209,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,[],[f109]) ).
fof(f210,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,[],[f111]) ).
fof(f211,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,[],[f113]) ).
fof(f212,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,[],[f113]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f217,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f218,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f219,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f220,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,[],[f122]) ).
fof(f221,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f222,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f188]) ).
fof(f223,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f187]) ).
fof(f224,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f186]) ).
tcf(c_49,plain,
aVector0(xs),
inference(cnf_transformation,[],[f129]) ).
tcf(c_50,plain,
aVector0(xt),
inference(cnf_transformation,[],[f128]) ).
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,[],[f130]) ).
tcf(c_52,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f131]) ).
tcf(c_53,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f132]) ).
tcf(c_54,plain,
aVector0(xp),
inference(cnf_transformation,[],[f136]) ).
tcf(c_55,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(cnf_transformation,[],[f135]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_57,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f133]) ).
tcf(c_58,plain,
aVector0(xq),
inference(cnf_transformation,[],[f140]) ).
tcf(c_59,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f139]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_61,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f137]) ).
tcf(c_62,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f142]) ).
tcf(c_63,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f141]) ).
tcf(c_64,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f144]) ).
tcf(c_65,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f143]) ).
tcf(c_66,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f146]) ).
tcf(c_67,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f145]) ).
tcf(c_68,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f148]) ).
tcf(c_69,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f147]) ).
tcf(c_70,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f150]) ).
tcf(c_71,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f149]) ).
tcf(c_72,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f152]) ).
tcf(c_73,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f151]) ).
tcf(c_74,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f154]) ).
tcf(c_75,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f153]) ).
tcf(c_76,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f156]) ).
tcf(c_77,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f155]) ).
tcf(c_78,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f158]) ).
tcf(c_79,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f157]) ).
tcf(c_80,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f160]) ).
tcf(c_81,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f159]) ).
tcf(c_82,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f162]) ).
tcf(c_83,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f161]) ).
tcf(c_84,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f164]) ).
tcf(c_85,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f163]) ).
tcf(c_86,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f165]) ).
tcf(c_87,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f166]) ).
tcf(c_88,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f169]) ).
tcf(c_89,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f168]) ).
tcf(c_90,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f167]) ).
tcf(c_91,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,[],[f170]) ).
tcf(c_92,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_93,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_95,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,[],[f174]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_97,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_102,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK0(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_104,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_105,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_106,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f185]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( ( sziznziztdt0(X0) = X1 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X1)) != aDimensionOf0(X0) )
| ( sdtlbdtrb0(X0,sK1(X0,X1)) != sdtlbdtrb0(X1,sK1(X0,X1)) ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X1,X0))
| ( sziznziztdt0(X1) = X0 )
| ( aDimensionOf0(X1) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_109,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_110,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),X1) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_113,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,[],[f192]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_115,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,[],[f194]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_119,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_120,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_121,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_122,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_123,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_124,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_125,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_126,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_127,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_130,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,[],[f209]) ).
tcf(c_131,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,[],[f210]) ).
tcf(c_132,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,[],[f212]) ).
tcf(c_133,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,[],[f211]) ).
tcf(c_134,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,[],[f216]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_136,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,[],[f214]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_139,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,[],[f218]) ).
tcf(c_140,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_141,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,[],[f220]) ).
tcf(c_142,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f221]) ).
tcf(c_149,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_191,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_126,c_142,c_149]) ).
tcf(c_663,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_65,c_52]) ).
tcf(c_664,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(light_normalisation,[status(thm)],[c_59,c_52]) ).
tcf(c_1027,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_93]) ).
tcf(c_1028,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_1027]) ).
tcf(c_1030,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_1028,c_92,c_1028]) ).
tcf(c_1031,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_1030]) ).
tcf(c_1876,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_137]) ).
tcf(c_1877,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_137]) ).
tcf(c_1878,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_137]) ).
tcf(c_1879,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_135]) ).
tcf(c_1880,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_135]) ).
tcf(c_1906,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1876]) ).
tcf(c_2961,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1878,c_142,c_1906,c_1878]) ).
tcf(c_2963,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1880,c_142,c_1906,c_1880]) ).
tcf(c_2965,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1876,c_142,c_1906]) ).
tcf(c_2969,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_52,c_92]) ).
tcf(c_2970,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2969,c_50]) ).
tcf(c_2990,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_67,c_99]) ).
tcf(c_2991,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_69,c_99]) ).
tcf(c_2992,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2991,c_58]) ).
tcf(c_2993,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2990,c_54]) ).
tcf(c_2998,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_73,c_140]) ).
tcf(c_2999,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_75,c_140]) ).
tcf(c_3000,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2999,c_64]) ).
tcf(c_3001,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2998,c_62]) ).
tcf(c_3012,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_62,c_119]) ).
tcf(c_3013,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_64,c_119]) ).
tcf(c_3014,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_66,c_119]) ).
tcf(c_3015,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_68,c_119]) ).
tcf(c_3016,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_70,c_119]) ).
tcf(c_3017,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_72,c_119]) ).
tcf(c_3018,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_74,c_119]) ).
tcf(c_3019,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_76,c_119]) ).
tcf(c_3020,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_78,c_119]) ).
tcf(c_3021,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_80,c_119]) ).
tcf(c_3022,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_82,c_119]) ).
tcf(c_3023,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_84,c_119]) ).
tcf(c_3024,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_119]) ).
tcf(c_3025,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_119]) ).
tcf(c_3033,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_62,c_120]) ).
tcf(c_3034,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_64,c_120]) ).
tcf(c_3035,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_66,c_120]) ).
tcf(c_3036,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_68,c_120]) ).
tcf(c_3037,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_70,c_120]) ).
tcf(c_3038,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_72,c_120]) ).
tcf(c_3039,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_74,c_120]) ).
tcf(c_3040,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_76,c_120]) ).
tcf(c_3041,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_78,c_120]) ).
tcf(c_3042,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_80,c_120]) ).
tcf(c_3043,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_82,c_120]) ).
tcf(c_3044,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_84,c_120]) ).
tcf(c_3045,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_120]) ).
tcf(c_3054,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_121]) ).
tcf(c_3055,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_121]) ).
tcf(c_3056,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_121]) ).
tcf(c_3057,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_121]) ).
tcf(c_3058,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_121]) ).
tcf(c_3059,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_121]) ).
tcf(c_3060,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_121]) ).
tcf(c_3061,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_121]) ).
tcf(c_3062,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_121]) ).
tcf(c_3063,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_121]) ).
tcf(c_3064,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_121]) ).
tcf(c_3065,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_84,c_121]) ).
tcf(c_3066,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_121]) ).
tcf(c_3067,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_121]) ).
tcf(c_3075,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_122]) ).
tcf(c_3076,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_122]) ).
tcf(c_3077,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_122]) ).
tcf(c_3078,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_122]) ).
tcf(c_3079,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_122]) ).
tcf(c_3080,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_122]) ).
tcf(c_3081,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_122]) ).
tcf(c_3082,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_122]) ).
tcf(c_3083,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_122]) ).
tcf(c_3084,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_122]) ).
tcf(c_3085,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_122]) ).
tcf(c_3086,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_84,c_122]) ).
tcf(c_3087,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_122]) ).
tcf(c_3096,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_62,c_125]) ).
tcf(c_3097,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_64,c_125]) ).
tcf(c_3098,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_66,c_125]) ).
tcf(c_3099,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_68,c_125]) ).
tcf(c_3100,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_70,c_125]) ).
tcf(c_3101,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_72,c_125]) ).
tcf(c_3102,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_74,c_125]) ).
tcf(c_3103,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_76,c_125]) ).
tcf(c_3104,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_78,c_125]) ).
tcf(c_3105,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_80,c_125]) ).
tcf(c_3106,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_82,c_125]) ).
tcf(c_3107,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_84,c_125]) ).
tcf(c_3108,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_125]) ).
tcf(c_3109,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_125]) ).
tcf(c_3114,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_90,c_140]) ).
tcf(c_3130,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_88,c_98]) ).
tcf(c_3132,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_90,c_98]) ).
tcf(c_3133,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_125]) ).
tcf(c_3134,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_122]) ).
tcf(c_3135,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_121]) ).
tcf(c_3136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_120]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_119]) ).
tcf(c_3140,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3130,c_78]) ).
tcf(c_3177,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(X0,X1))) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_125]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_122]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_121]) ).
tcf(c_3180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_120]) ).
tcf(c_3181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X0,X1),sz0z00) = sdtlbdtrb0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_119]) ).
tcf(c_3209,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_123]) ).
tcf(c_3210,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_123]) ).
tcf(c_3211,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_123]) ).
tcf(c_3212,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_123]) ).
tcf(c_3213,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_123]) ).
tcf(c_3214,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_123]) ).
tcf(c_3215,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_123]) ).
tcf(c_3216,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_3217,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_3218,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_123]) ).
tcf(c_3219,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_123]) ).
tcf(c_3220,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_84,c_123]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_123]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_123]) ).
tcf(c_3223,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_123]) ).
tcf(c_3224,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_123]) ).
tcf(c_3257,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_124]) ).
tcf(c_3258,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_124]) ).
tcf(c_3259,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_124]) ).
tcf(c_3260,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_124]) ).
tcf(c_3261,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_124]) ).
tcf(c_3262,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_124]) ).
tcf(c_3263,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_124]) ).
tcf(c_3264,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_124]) ).
tcf(c_3265,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_124]) ).
tcf(c_3266,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_124]) ).
tcf(c_3267,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_124]) ).
tcf(c_3268,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_84,c_124]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_124]) ).
tcf(c_3270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1)) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_124]) ).
tcf(c_3271,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_124]) ).
tcf(c_3272,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_124]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_124]) ).
tcf(c_3331,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_123]) ).
tcf(c_3332,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_125]) ).
tcf(c_3333,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_122]) ).
tcf(c_3334,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_121]) ).
tcf(c_3335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_120]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_119]) ).
tcf(c_3385,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,aDimensionOf0(X0)) = sdtlbdtrb0(xp,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_56]) ).
tcf(c_3386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xs,sK0(X0)) = sdtlbdtrb0(xp,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_56]) ).
tcf(c_3387,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(X0)) = sdtlbdtrb0(xp,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_56]) ).
tcf(c_3388,plain,
sdtlbdtrb0(xs,sz00) = sdtlbdtrb0(xp,sz00),
inference(superposition,[status(thm)],[c_106,c_56]) ).
tcf(c_3389,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2970,c_56]) ).
tcf(c_3390,plain,
sdtlbdtrb0(xp,aDimensionOf0(xs)) = xA,
inference(light_normalisation,[status(thm)],[c_3389,c_63]) ).
tcf(c_3419,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3067,c_140]) ).
tcf(c_3420,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3419,c_142]) ).
tcf(c_3427,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,aDimensionOf0(X0)) = sdtlbdtrb0(xq,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_60]) ).
tcf(c_3428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xt,sK0(X0)) = sdtlbdtrb0(xq,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_60]) ).
tcf(c_3429,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(X0)) = sdtlbdtrb0(xq,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_60]) ).
tcf(c_3430,plain,
sdtlbdtrb0(xt,sz00) = sdtlbdtrb0(xq,sz00),
inference(superposition,[status(thm)],[c_106,c_60]) ).
tcf(c_3431,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2970,c_60]) ).
tcf(c_3432,plain,
sdtlbdtrb0(xq,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_3431,c_663]) ).
tcf(c_3467,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_103]) ).
tcf(c_3468,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK0(X0) = sz00 )
| ( szszuzczcdt0(sK0(sK0(X0))) = sK0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_103]) ).
tcf(c_3469,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK0(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_103]) ).
tcf(c_3471,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2970,c_103]) ).
tcf(c_3472,plain,
szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3471,c_53]) ).
tcf(c_3515,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_49,c_110]) ).
tcf(c_3516,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_50,c_110]) ).
tcf(c_3517,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_54,c_110]) ).
tcf(c_3518,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_58,c_110]) ).
tcf(c_3519,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_109,c_110]) ).
tcf(c_3537,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_116]) ).
tcf(c_3538,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_116]) ).
tcf(c_3539,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_116]) ).
tcf(c_3540,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_116]) ).
tcf(c_3541,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_116]) ).
tcf(c_3542,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_116]) ).
tcf(c_3543,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_116]) ).
tcf(c_3544,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_116]) ).
tcf(c_3545,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_116]) ).
tcf(c_3546,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_116]) ).
tcf(c_3547,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_82,c_116]) ).
tcf(c_3548,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_84,c_116]) ).
tcf(c_3549,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_98,c_116]) ).
tcf(c_3550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtlbdtrb0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_116]) ).
tcf(c_3551,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),smndt0(X1)) = sdtasdt0(smndt0(X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_116]) ).
tcf(c_3552,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_138,c_116]) ).
tcf(c_3553,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_142,c_116]) ).
tcf(c_3554,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3553,c_191]) ).
tcf(c_3637,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_117]) ).
tcf(c_3638,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_117]) ).
tcf(c_3639,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_117]) ).
tcf(c_3640,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_117]) ).
tcf(c_3641,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_117]) ).
tcf(c_3642,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_117]) ).
tcf(c_3643,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_117]) ).
tcf(c_3644,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_117]) ).
tcf(c_3645,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_117]) ).
tcf(c_3646,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_117]) ).
tcf(c_3647,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_82,c_117]) ).
tcf(c_3648,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_84,c_117]) ).
tcf(c_3649,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_98,c_117]) ).
tcf(c_3650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtlbdtrb0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_117]) ).
tcf(c_3651,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_117]) ).
tcf(c_3652,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_138,c_117]) ).
tcf(c_3653,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_142,c_117]) ).
tcf(c_3728,plain,
( aNaturalNumber0(aDimensionOf0(xp))
| ~ aVector0(xp) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3729,plain,
( aNaturalNumber0(aDimensionOf0(xq))
| ~ aVector0(xq) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3736,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_118]) ).
tcf(c_3737,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_118]) ).
tcf(c_3738,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_118]) ).
tcf(c_3739,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_118]) ).
tcf(c_3740,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_118]) ).
tcf(c_3741,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_118]) ).
tcf(c_3742,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_118]) ).
tcf(c_3743,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_118]) ).
tcf(c_3744,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_118]) ).
tcf(c_3745,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_118]) ).
tcf(c_3746,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_82,c_118]) ).
tcf(c_3747,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_84,c_118]) ).
tcf(c_3748,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_98,c_118]) ).
tcf(c_3749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),X2) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_118]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),X1) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_118]) ).
tcf(c_3751,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_138,c_118]) ).
tcf(c_3752,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_142,c_118]) ).
tcf(c_3753,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3752,c_191]) ).
tcf(c_3812,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_3817,plain,
! [X0: $i] :
( aScalar0(sdtlbdtrb0(xs,X0))
| ~ aVector0(xs)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_3819,plain,
! [X0: $i] :
( aScalar0(sdtlbdtrb0(xt,X0))
| ~ aVector0(xt)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_3829,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(xs)) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_3846,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_127,c_3140]) ).
tcf(c_3847,plain,
aScalar0(smndt0(xN)),
inference(forward_subsumption_resolution,[status(thm)],[c_3846,c_82]) ).
tcf(c_3848,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xN)),X0) = smndt0(sdtasdt0(smndt0(xN),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3847,c_118]) ).
tcf(c_3849,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = smndt0(sdtasdt0(smndt0(xN),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3847,c_117]) ).
tcf(c_3850,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(X0)) = sdtasdt0(smndt0(xN),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3847,c_116]) ).
tcf(c_3851,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_124]) ).
tcf(c_3852,plain,
sdtpldt0(smndt0(xN),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_123]) ).
tcf(c_3853,plain,
smndt0(smndt0(smndt0(xN))) = smndt0(xN),
inference(superposition,[status(thm)],[c_3847,c_125]) ).
tcf(c_3854,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_122]) ).
tcf(c_3855,plain,
sdtasdt0(smndt0(xN),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_121]) ).
tcf(c_3856,plain,
sdtpldt0(sz0z00,smndt0(xN)) = smndt0(xN),
inference(superposition,[status(thm)],[c_3847,c_120]) ).
tcf(c_3857,plain,
sdtpldt0(smndt0(xN),sz0z00) = smndt0(xN),
inference(superposition,[status(thm)],[c_3847,c_119]) ).
tcf(c_3861,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = sdtasdt0(xN,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3850,c_3107]) ).
tcf(c_3866,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(smndt0(xN),X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3848,c_3107]) ).
tcf(c_3882,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_101]) ).
tcf(c_3883,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_52,c_101]) ).
tcf(c_3884,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_101]) ).
tcf(c_3887,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3883,c_50]) ).
tcf(c_3891,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3882,c_50]) ).
tcf(c_3908,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_55,c_112]) ).
tcf(c_3909,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_664,c_112]) ).
tcf(c_3934,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_86,c_96]) ).
tcf(c_3935,plain,
( ( sdtasdt0(xP,xP) = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_87,c_96]) ).
tcf(c_3939,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_99,c_96]) ).
tcf(c_3940,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_140,c_96]) ).
tcf(c_3942,plain,
( ( xC = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_2993,c_96]) ).
tcf(c_3943,plain,
( ( xD = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_2992,c_96]) ).
tcf(c_3944,plain,
( ( xF = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_3001,c_96]) ).
tcf(c_3945,plain,
( ( xG = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_3000,c_96]) ).
tcf(c_3946,plain,
( ( xG = sz0z00 )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3945,c_142,c_74]) ).
tcf(c_3949,plain,
( ( xF = sz0z00 )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3944,c_142,c_72]) ).
tcf(c_3952,plain,
( ( xD = sz0z00 )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3943,c_142,c_68]) ).
tcf(c_3955,plain,
( ( xC = sz0z00 )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3942,c_142,c_66]) ).
tcf(c_3958,plain,
( ( sdtasdt0(xP,xP) = xN )
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3935,c_84]) ).
tcf(c_3962,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_3940,c_142]) ).
tcf(c_3967,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_3939,c_142]) ).
tcf(c_4029,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_128,c_96]) ).
tcf(c_4030,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_4029,c_142]) ).
tcf(c_4076,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_77,c_129]) ).
tcf(c_4077,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_79,c_129]) ).
tcf(c_4078,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_81,c_129]) ).
tcf(c_4079,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_83,c_129]) ).
tcf(c_4080,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_85,c_129]) ).
tcf(c_4081,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_88,c_129]) ).
tcf(c_4109,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_129,c_96]) ).
tcf(c_4110,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4080,c_82,c_78]) ).
tcf(c_4114,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4079,c_72,c_68,c_3001,c_2992]) ).
tcf(c_4115,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4110,c_4114]) ).
tcf(c_4118,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4078,c_76,c_70]) ).
tcf(c_4122,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4077,c_74,c_66,c_3000,c_2993]) ).
tcf(c_4123,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_4115,c_4122]) ).
tcf(c_4124,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4076,c_64,c_62]) ).
tcf(c_4128,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4081,c_4122]) ).
tcf(c_4129,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4128,c_78]) ).
tcf(c_4133,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_4109,c_142]) ).
tcf(c_4177,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_86,c_95]) ).
tcf(c_4178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_87,c_95]) ).
tcf(c_4179,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_94,c_95]) ).
tcf(c_4182,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_99,c_95]) ).
tcf(c_4183,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_128,c_95]) ).
tcf(c_4184,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_129,c_95]) ).
tcf(c_4185,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_140,c_95]) ).
tcf(c_4187,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2993,c_95]) ).
tcf(c_4188,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2992,c_95]) ).
tcf(c_4189,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_3001,c_95]) ).
tcf(c_4190,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_3000,c_95]) ).
tcf(c_4191,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4190,c_142,c_74]) ).
tcf(c_4195,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4189,c_142,c_72]) ).
tcf(c_4199,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4188,c_142,c_68]) ).
tcf(c_4203,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4187,c_142,c_66]) ).
tcf(c_4213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4178,c_84]) ).
tcf(c_4218,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_4185,c_142]) ).
tcf(c_4224,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_4182,c_142]) ).
tcf(c_4235,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_4184,c_142]) ).
tcf(c_4244,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_4183,c_142]) ).
tcf(c_4263,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xs),X0) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_111]) ).
tcf(c_4264,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xt),X0) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_4265,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xp),X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_111]) ).
tcf(c_4266,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(xq),X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_111]) ).
tcf(c_4267,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_109,c_111]) ).
tcf(c_4274,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_4264,c_52,c_61]) ).
tcf(c_4276,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_4263,c_57]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_134]) ).
tcf(c_4295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_134]) ).
tcf(c_4296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_134]) ).
tcf(c_4297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_134]) ).
tcf(c_4298,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_134]) ).
tcf(c_4299,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_134]) ).
tcf(c_4300,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_134]) ).
tcf(c_4301,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_134]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_134]) ).
tcf(c_4303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_134]) ).
tcf(c_4304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_82,c_134]) ).
tcf(c_4305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_84,c_134]) ).
tcf(c_4306,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_98,c_134]) ).
tcf(c_4307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(X0,X1),X2),X3) = sdtpldt0(sdtlbdtrb0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_134]) ).
tcf(c_4308,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_127,c_134]) ).
tcf(c_4309,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_138,c_134]) ).
tcf(c_4310,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0),X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_142,c_134]) ).
tcf(c_4311,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_3847,c_134]) ).
tcf(c_4419,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_4114,c_95]) ).
tcf(c_4420,plain,
( ( xS = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_4114,c_96]) ).
tcf(c_4421,plain,
( ( xS = sz0z00 )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4420,c_142,c_82]) ).
tcf(c_4424,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4419,c_142,c_82]) ).
tcf(c_4428,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_4122,c_95]) ).
tcf(c_4429,plain,
( ( xR = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_4122,c_96]) ).
tcf(c_4430,plain,
( ( xR = sz0z00 )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4429,c_142,c_78]) ).
tcf(c_4433,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4428,c_142,c_78]) ).
tcf(c_4437,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_4123,c_95]) ).
tcf(c_4438,plain,
( ( xN = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_4123,c_96]) ).
tcf(c_4439,plain,
( ( xN = sz0z00 )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4438,c_142,c_84]) ).
tcf(c_4442,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4437,c_142,c_84]) ).
tcf(c_4474,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_62,c_136]) ).
tcf(c_4475,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_64,c_136]) ).
tcf(c_4476,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_136]) ).
tcf(c_4477,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_68,c_136]) ).
tcf(c_4478,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_136]) ).
tcf(c_4479,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_72,c_136]) ).
tcf(c_4480,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_74,c_136]) ).
tcf(c_4481,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_76,c_136]) ).
tcf(c_4482,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_136]) ).
tcf(c_4483,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_80,c_136]) ).
tcf(c_4484,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_82,c_136]) ).
tcf(c_4485,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_84,c_136]) ).
tcf(c_4486,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_98,c_136]) ).
tcf(c_4487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(X0,X1),X2),X3) = sdtasdt0(sdtlbdtrb0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_136]) ).
tcf(c_4488,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_127,c_136]) ).
tcf(c_4489,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_138,c_136]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0),X1) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_142,c_136]) ).
tcf(c_4491,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_3847,c_136]) ).
tcf(c_4593,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_62,c_132]) ).
tcf(c_4594,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_64,c_132]) ).
tcf(c_4595,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_66,c_132]) ).
tcf(c_4596,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_68,c_132]) ).
tcf(c_4597,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_70,c_132]) ).
tcf(c_4598,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_72,c_132]) ).
tcf(c_4599,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_74,c_132]) ).
tcf(c_4600,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_76,c_132]) ).
tcf(c_4601,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_78,c_132]) ).
tcf(c_4602,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_80,c_132]) ).
tcf(c_4603,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_82,c_132]) ).
tcf(c_4604,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_84,c_132]) ).
tcf(c_4605,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_98,c_132]) ).
tcf(c_4606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X1),X2),sdtasdt0(sdtlbdtrb0(X0,X1),X3)) = sdtasdt0(sdtlbdtrb0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_132]) ).
tcf(c_4607,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_127,c_132]) ).
tcf(c_4608,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_138,c_132]) ).
tcf(c_4609,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_142,c_132]) ).
tcf(c_4610,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_3847,c_132]) ).
tcf(c_4717,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_62,c_133]) ).
tcf(c_4718,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_64,c_133]) ).
tcf(c_4719,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_66,c_133]) ).
tcf(c_4720,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_68,c_133]) ).
tcf(c_4721,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_70,c_133]) ).
tcf(c_4722,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_72,c_133]) ).
tcf(c_4723,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_74,c_133]) ).
tcf(c_4724,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_76,c_133]) ).
tcf(c_4725,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_78,c_133]) ).
tcf(c_4726,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_80,c_133]) ).
tcf(c_4727,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_82,c_133]) ).
tcf(c_4728,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_84,c_133]) ).
tcf(c_4729,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_98,c_133]) ).
tcf(c_4730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_133]) ).
tcf(c_4731,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_127,c_133]) ).
tcf(c_4732,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_138,c_133]) ).
tcf(c_4733,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_142,c_133]) ).
tcf(c_4734,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_3847,c_133]) ).
tcf(c_4868,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_100]) ).
tcf(c_4869,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_100]) ).
tcf(c_4870,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_100]) ).
tcf(c_4874,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_4869,c_52]) ).
tcf(c_4875,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4868,c_50]) ).
tcf(c_4909,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_3884,c_133]) ).
tcf(c_4910,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_3884,c_132]) ).
tcf(c_4911,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_3884,c_136]) ).
tcf(c_4912,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_3884,c_134]) ).
tcf(c_4913,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_3884,c_118]) ).
tcf(c_4914,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_3884,c_117]) ).
tcf(c_4915,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_3884,c_116]) ).
tcf(c_4916,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_124]) ).
tcf(c_4917,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_123]) ).
tcf(c_4918,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_125]) ).
tcf(c_4919,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_122]) ).
tcf(c_4920,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_121]) ).
tcf(c_4921,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_120]) ).
tcf(c_4922,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_119]) ).
tcf(c_5014,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_3132,c_133]) ).
tcf(c_5015,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_3132,c_132]) ).
tcf(c_5016,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_3132,c_136]) ).
tcf(c_5017,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_3132,c_134]) ).
tcf(c_5018,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_3132,c_118]) ).
tcf(c_5019,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_3132,c_117]) ).
tcf(c_5020,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_3132,c_116]) ).
tcf(c_5021,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_124]) ).
tcf(c_5022,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_123]) ).
tcf(c_5023,plain,
( ( smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_125]) ).
tcf(c_5024,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_122]) ).
tcf(c_5025,plain,
( ( sdtasdt0(sdtasdt0(xS,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_121]) ).
tcf(c_5026,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xS,xS)) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_120]) ).
tcf(c_5027,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),sz0z00) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_119]) ).
tcf(c_5082,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_3388,c_114]) ).
tcf(c_5083,plain,
aScalar0(sdtlbdtrb0(xs,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_5082,c_106,c_54]) ).
tcf(c_5084,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_5083,c_133]) ).
tcf(c_5085,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_5083,c_132]) ).
tcf(c_5086,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_5083,c_136]) ).
tcf(c_5087,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_5083,c_134]) ).
tcf(c_5088,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_118]) ).
tcf(c_5089,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_117]) ).
tcf(c_5090,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_116]) ).
tcf(c_5091,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_124]) ).
tcf(c_5092,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_123]) ).
tcf(c_5093,plain,
smndt0(smndt0(sdtlbdtrb0(xs,sz00))) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_5083,c_125]) ).
tcf(c_5094,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_122]) ).
tcf(c_5095,plain,
sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_121]) ).
tcf(c_5096,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_5083,c_120]) ).
tcf(c_5097,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_5083,c_119]) ).
tcf(c_5142,plain,
( aScalar0(sdtlbdtrb0(xt,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_3430,c_114]) ).
tcf(c_5143,plain,
aScalar0(sdtlbdtrb0(xt,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_5142,c_106,c_58]) ).
tcf(c_5144,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_5143,c_133]) ).
tcf(c_5145,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_5143,c_132]) ).
tcf(c_5146,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_5143,c_136]) ).
tcf(c_5147,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_5143,c_134]) ).
tcf(c_5148,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5143,c_118]) ).
tcf(c_5149,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5143,c_117]) ).
tcf(c_5150,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_5143,c_116]) ).
tcf(c_5151,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_124]) ).
tcf(c_5152,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_123]) ).
tcf(c_5153,plain,
smndt0(smndt0(sdtlbdtrb0(xt,sz00))) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_5143,c_125]) ).
tcf(c_5154,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_122]) ).
tcf(c_5155,plain,
sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_121]) ).
tcf(c_5156,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,sz00)) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_5143,c_120]) ).
tcf(c_5157,plain,
sdtpldt0(sdtlbdtrb0(xt,sz00),sz0z00) = sdtlbdtrb0(xt,sz00),
inference(superposition,[status(thm)],[c_5143,c_119]) ).
tcf(c_5191,plain,
! [X0: $i] :
( ( sK0(aDimensionOf0(xs)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(aDimensionOf0(xs)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3472,c_112]) ).
tcf(c_5218,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_115]) ).
tcf(c_5219,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_115]) ).
tcf(c_5221,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_5219,c_52,c_61]) ).
tcf(c_5222,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5221,c_53,c_50]) ).
tcf(c_5226,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_5218,c_61]) ).
tcf(c_5243,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_3025,c_130]) ).
tcf(c_5244,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_3012,c_130]) ).
tcf(c_5245,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_3013,c_130]) ).
tcf(c_5246,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_3014,c_130]) ).
tcf(c_5247,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_3015,c_130]) ).
tcf(c_5248,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_3016,c_130]) ).
tcf(c_5249,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_3017,c_130]) ).
tcf(c_5250,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_3018,c_130]) ).
tcf(c_5251,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_3019,c_130]) ).
tcf(c_5252,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_3020,c_130]) ).
tcf(c_5253,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_3021,c_130]) ).
tcf(c_5254,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_3022,c_130]) ).
tcf(c_5255,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_3023,c_130]) ).
tcf(c_5256,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_3033,c_130]) ).
tcf(c_5257,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_3034,c_130]) ).
tcf(c_5258,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_3035,c_130]) ).
tcf(c_5259,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_3036,c_130]) ).
tcf(c_5260,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_3037,c_130]) ).
tcf(c_5261,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_3038,c_130]) ).
tcf(c_5262,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_3039,c_130]) ).
tcf(c_5263,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_3040,c_130]) ).
tcf(c_5264,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_3041,c_130]) ).
tcf(c_5265,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_3042,c_130]) ).
tcf(c_5266,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_3043,c_130]) ).
tcf(c_5267,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_3044,c_130]) ).
tcf(c_5268,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_3209,c_130]) ).
tcf(c_5269,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_3210,c_130]) ).
tcf(c_5270,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_3211,c_130]) ).
tcf(c_5271,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_3212,c_130]) ).
tcf(c_5272,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_3213,c_130]) ).
tcf(c_5273,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_3214,c_130]) ).
tcf(c_5274,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_3215,c_130]) ).
tcf(c_5275,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_3216,c_130]) ).
tcf(c_5276,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_3217,c_130]) ).
tcf(c_5277,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_3218,c_130]) ).
tcf(c_5278,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_3219,c_130]) ).
tcf(c_5279,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_3220,c_130]) ).
tcf(c_5280,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_3257,c_130]) ).
tcf(c_5281,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_3258,c_130]) ).
tcf(c_5282,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_3259,c_130]) ).
tcf(c_5283,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_3260,c_130]) ).
tcf(c_5284,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_3261,c_130]) ).
tcf(c_5285,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_3262,c_130]) ).
tcf(c_5286,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_3263,c_130]) ).
tcf(c_5287,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_3264,c_130]) ).
tcf(c_5288,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_3265,c_130]) ).
tcf(c_5289,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_3266,c_130]) ).
tcf(c_5290,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_3267,c_130]) ).
tcf(c_5291,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_3268,c_130]) ).
tcf(c_5292,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_3856,c_130]) ).
tcf(c_5293,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_3857,c_130]) ).
tcf(c_5294,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_5091,c_130]) ).
tcf(c_5295,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_3025,c_130]) ).
tcf(c_5296,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_3012,c_130]) ).
tcf(c_5297,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_3013,c_130]) ).
tcf(c_5298,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_3014,c_130]) ).
tcf(c_5299,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_3015,c_130]) ).
tcf(c_5300,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_3016,c_130]) ).
tcf(c_5301,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_3017,c_130]) ).
tcf(c_5302,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_3018,c_130]) ).
tcf(c_5303,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_3019,c_130]) ).
tcf(c_5304,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_3020,c_130]) ).
tcf(c_5305,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_3021,c_130]) ).
tcf(c_5306,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_3022,c_130]) ).
tcf(c_5307,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_3023,c_130]) ).
tcf(c_5308,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_3033,c_130]) ).
tcf(c_5309,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_3034,c_130]) ).
tcf(c_5310,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_3035,c_130]) ).
tcf(c_5311,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_3036,c_130]) ).
tcf(c_5312,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_3037,c_130]) ).
tcf(c_5313,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_3038,c_130]) ).
tcf(c_5314,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_3039,c_130]) ).
tcf(c_5315,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_3040,c_130]) ).
tcf(c_5316,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_3041,c_130]) ).
tcf(c_5317,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_3042,c_130]) ).
tcf(c_5318,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_3043,c_130]) ).
tcf(c_5319,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_3044,c_130]) ).
tcf(c_5320,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_3209,c_130]) ).
tcf(c_5321,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_3210,c_130]) ).
tcf(c_5322,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_3211,c_130]) ).
tcf(c_5323,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_3212,c_130]) ).
tcf(c_5324,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_3213,c_130]) ).
tcf(c_5325,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_3214,c_130]) ).
tcf(c_5326,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_3215,c_130]) ).
tcf(c_5327,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_3216,c_130]) ).
tcf(c_5328,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_3217,c_130]) ).
tcf(c_5329,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_3218,c_130]) ).
tcf(c_5330,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_3219,c_130]) ).
tcf(c_5331,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_3220,c_130]) ).
tcf(c_5332,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_3257,c_130]) ).
tcf(c_5333,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_3258,c_130]) ).
tcf(c_5334,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_3259,c_130]) ).
tcf(c_5335,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_3260,c_130]) ).
tcf(c_5336,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_3261,c_130]) ).
tcf(c_5337,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_3262,c_130]) ).
tcf(c_5338,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_3263,c_130]) ).
tcf(c_5339,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_3264,c_130]) ).
tcf(c_5340,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_3265,c_130]) ).
tcf(c_5341,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_3266,c_130]) ).
tcf(c_5342,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_3267,c_130]) ).
tcf(c_5343,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_3268,c_130]) ).
tcf(c_5344,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_3856,c_130]) ).
tcf(c_5345,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_3857,c_130]) ).
tcf(c_5346,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_5091,c_130]) ).
tcf(c_5347,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_130,c_95]) ).
tcf(c_5348,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_130,c_96]) ).
tcf(c_5349,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_5295,c_142]) ).
tcf(c_5356,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_5319,c_142,c_84]) ).
tcf(c_5362,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_5318,c_142,c_82]) ).
tcf(c_5368,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_5317,c_142,c_80]) ).
tcf(c_5374,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_5316,c_142,c_78]) ).
tcf(c_5380,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_5315,c_142,c_76]) ).
tcf(c_5386,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_5314,c_142,c_74]) ).
tcf(c_5392,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_5313,c_142,c_72]) ).
tcf(c_5398,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_5312,c_142,c_70]) ).
tcf(c_5404,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_5311,c_142,c_68]) ).
tcf(c_5410,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_5310,c_142,c_66]) ).
tcf(c_5416,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_5309,c_142,c_64]) ).
tcf(c_5422,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_5308,c_142,c_62]) ).
tcf(c_5428,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_5307,c_142,c_84]) ).
tcf(c_5434,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_5306,c_142,c_82]) ).
tcf(c_5440,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_5305,c_142,c_80]) ).
tcf(c_5446,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_5304,c_142,c_78]) ).
tcf(c_5452,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_5303,c_142,c_76]) ).
tcf(c_5458,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_5302,c_142,c_74]) ).
tcf(c_5464,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_5301,c_142,c_72]) ).
tcf(c_5470,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_5300,c_142,c_70]) ).
tcf(c_5476,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_5299,c_142,c_68]) ).
tcf(c_5482,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_5298,c_142,c_66]) ).
tcf(c_5488,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_5297,c_142,c_64]) ).
tcf(c_5494,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_5296,c_142,c_62]) ).
tcf(c_5500,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_5267,c_142,c_84]) ).
tcf(c_5506,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_5266,c_142,c_82]) ).
tcf(c_5512,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_5265,c_142,c_80]) ).
tcf(c_5518,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_5264,c_142,c_78]) ).
tcf(c_5524,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_5263,c_142,c_76]) ).
tcf(c_5530,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_5262,c_142,c_74]) ).
tcf(c_5536,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_5261,c_142,c_72]) ).
tcf(c_5542,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_5260,c_142,c_70]) ).
tcf(c_5548,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_5259,c_142,c_68]) ).
tcf(c_5554,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_5258,c_142,c_66]) ).
tcf(c_5560,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_5257,c_142,c_64]) ).
tcf(c_5566,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_5256,c_142,c_62]) ).
tcf(c_5572,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_5255,c_142,c_84]) ).
tcf(c_5578,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_5254,c_142,c_82]) ).
tcf(c_5584,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_5253,c_142,c_80]) ).
tcf(c_5590,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_5252,c_142,c_78]) ).
tcf(c_5596,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_5251,c_142,c_76]) ).
tcf(c_5602,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_5250,c_142,c_74]) ).
tcf(c_5608,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_5249,c_142,c_72]) ).
tcf(c_5614,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_5248,c_142,c_70]) ).
tcf(c_5620,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_5247,c_142,c_68]) ).
tcf(c_5626,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_5246,c_142,c_66]) ).
tcf(c_5632,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_5245,c_142,c_64]) ).
tcf(c_5638,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_5244,c_142,c_62]) ).
tcf(c_5644,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_5343,c_84,c_3847]) ).
tcf(c_5650,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_5342,c_82]) ).
tcf(c_5657,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_5341,c_80]) ).
tcf(c_5664,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_5340,c_78]) ).
tcf(c_5671,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_5339,c_76]) ).
tcf(c_5678,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_5338,c_74]) ).
tcf(c_5685,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_5337,c_72]) ).
tcf(c_5692,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_5336,c_70]) ).
tcf(c_5699,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_5335,c_68]) ).
tcf(c_5706,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_5334,c_66]) ).
tcf(c_5713,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_5333,c_64]) ).
tcf(c_5720,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_5332,c_62]) ).
tcf(c_5727,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_5331,c_84,c_3847]) ).
tcf(c_5733,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_5330,c_82]) ).
tcf(c_5740,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_5329,c_80]) ).
tcf(c_5747,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_5328,c_78]) ).
tcf(c_5754,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_5327,c_76]) ).
tcf(c_5761,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_5326,c_74]) ).
tcf(c_5768,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_5325,c_72]) ).
tcf(c_5775,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_5324,c_70]) ).
tcf(c_5782,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_5323,c_68]) ).
tcf(c_5789,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_5322,c_66]) ).
tcf(c_5796,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_5321,c_64]) ).
tcf(c_5803,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_5320,c_62]) ).
tcf(c_5810,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_5291,c_84,c_3847]) ).
tcf(c_5816,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_5290,c_82]) ).
tcf(c_5823,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_5289,c_80]) ).
tcf(c_5830,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_5288,c_78]) ).
tcf(c_5837,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_5287,c_76]) ).
tcf(c_5844,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_5286,c_74]) ).
tcf(c_5851,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_5285,c_72]) ).
tcf(c_5858,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_5284,c_70]) ).
tcf(c_5865,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_5283,c_68]) ).
tcf(c_5872,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_5282,c_66]) ).
tcf(c_5879,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_5281,c_64]) ).
tcf(c_5886,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_5280,c_62]) ).
tcf(c_5893,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_5279,c_84,c_3847]) ).
tcf(c_5899,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_5278,c_82]) ).
tcf(c_5906,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_5277,c_80]) ).
tcf(c_5913,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_5276,c_78]) ).
tcf(c_5920,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_5275,c_76]) ).
tcf(c_5927,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_5274,c_74]) ).
tcf(c_5934,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_5273,c_72]) ).
tcf(c_5941,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_5272,c_70]) ).
tcf(c_5948,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_5271,c_68]) ).
tcf(c_5955,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_5270,c_66]) ).
tcf(c_5962,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_5269,c_64]) ).
tcf(c_5969,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_5268,c_62]) ).
tcf(c_5976,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_5345,c_142,c_3847]) ).
tcf(c_5982,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_5344,c_142,c_3847]) ).
tcf(c_5988,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_5293,c_142,c_3847]) ).
tcf(c_5994,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_5292,c_142,c_3847]) ).
tcf(c_6000,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_5346,c_5083]) ).
tcf(c_6007,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_5294,c_5083]) ).
tcf(c_6217,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_73,c_139]) ).
tcf(c_6218,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_75,c_139]) ).
tcf(c_6219,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_90,c_139]) ).
tcf(c_6220,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_3067,c_139]) ).
tcf(c_6222,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6220,c_142,c_3420]) ).
tcf(c_6227,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6218,c_64]) ).
tcf(c_6233,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6217,c_62]) ).
tcf(c_6285,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xp)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_6286,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xq)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_664,c_108]) ).
tcf(c_6287,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(superposition,[status(thm)],[c_52,c_108]) ).
tcf(c_6288,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6286,c_58]) ).
tcf(c_6294,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6285,c_54]) ).
tcf(c_6300,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6287,c_50]) ).
tcf(c_6363,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_3114,c_95]) ).
tcf(c_6364,plain,
( ( sdtasdt0(xS,xS) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),sz0z00) ),
inference(superposition,[status(thm)],[c_3114,c_96]) ).
tcf(c_6365,plain,
( ( sdtasdt0(xS,xS) = sz0z00 )
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ sdtlseqdt0(sdtasdt0(xS,xS),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6364,c_142]) ).
tcf(c_6370,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_6363,c_142]) ).
tcf(c_6378,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_5092,c_130]) ).
tcf(c_6379,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_5092,c_130]) ).
tcf(c_6380,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_6379,c_5083]) ).
tcf(c_6387,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_6378,c_5083]) ).
tcf(c_6410,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_73,c_141]) ).
tcf(c_6411,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_75,c_141]) ).
tcf(c_6412,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_77,c_141]) ).
tcf(c_6413,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_79,c_141]) ).
tcf(c_6414,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_81,c_141]) ).
tcf(c_6415,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_83,c_141]) ).
tcf(c_6416,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_85,c_141]) ).
tcf(c_6417,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_88,c_141]) ).
tcf(c_6418,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_89,c_141]) ).
tcf(c_6419,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_90,c_141]) ).
tcf(c_6420,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_3067,c_141]) ).
tcf(c_6421,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_3054,c_141]) ).
tcf(c_6422,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_3055,c_141]) ).
tcf(c_6423,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_3056,c_141]) ).
tcf(c_6424,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_3057,c_141]) ).
tcf(c_6425,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_3058,c_141]) ).
tcf(c_6426,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_3059,c_141]) ).
tcf(c_6427,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_3060,c_141]) ).
tcf(c_6428,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_3061,c_141]) ).
tcf(c_6429,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_3062,c_141]) ).
tcf(c_6430,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_3063,c_141]) ).
tcf(c_6431,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_3064,c_141]) ).
tcf(c_6432,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_3065,c_141]) ).
tcf(c_6433,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_3075,c_141]) ).
tcf(c_6434,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_3076,c_141]) ).
tcf(c_6435,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_3077,c_141]) ).
tcf(c_6436,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_3078,c_141]) ).
tcf(c_6437,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_3079,c_141]) ).
tcf(c_6438,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_3080,c_141]) ).
tcf(c_6439,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_3081,c_141]) ).
tcf(c_6440,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_3082,c_141]) ).
tcf(c_6441,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_3083,c_141]) ).
tcf(c_6442,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_3084,c_141]) ).
tcf(c_6443,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_3085,c_141]) ).
tcf(c_6444,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_3086,c_141]) ).
tcf(c_6445,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_3855,c_141]) ).
tcf(c_6446,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_3854,c_141]) ).
tcf(c_6447,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_5094,c_141]) ).
tcf(c_6448,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_5095,c_141]) ).
tcf(c_6449,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_5154,c_141]) ).
tcf(c_6450,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_5155,c_141]) ).
tcf(c_6451,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_73,c_141]) ).
tcf(c_6452,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_75,c_141]) ).
tcf(c_6453,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_77,c_141]) ).
tcf(c_6454,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_79,c_141]) ).
tcf(c_6455,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_81,c_141]) ).
tcf(c_6456,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_83,c_141]) ).
tcf(c_6457,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_85,c_141]) ).
tcf(c_6458,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_88,c_141]) ).
tcf(c_6459,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_89,c_141]) ).
tcf(c_6460,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_90,c_141]) ).
tcf(c_6461,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_3067,c_141]) ).
tcf(c_6462,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_3054,c_141]) ).
tcf(c_6463,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_3055,c_141]) ).
tcf(c_6464,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_3056,c_141]) ).
tcf(c_6465,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_3057,c_141]) ).
tcf(c_6466,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_3058,c_141]) ).
tcf(c_6467,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_3059,c_141]) ).
tcf(c_6468,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_3060,c_141]) ).
tcf(c_6469,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_3061,c_141]) ).
tcf(c_6470,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_3062,c_141]) ).
tcf(c_6471,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_3063,c_141]) ).
tcf(c_6472,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_3064,c_141]) ).
tcf(c_6473,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_3065,c_141]) ).
tcf(c_6474,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_3075,c_141]) ).
tcf(c_6475,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_3076,c_141]) ).
tcf(c_6476,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_3077,c_141]) ).
tcf(c_6477,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_3078,c_141]) ).
tcf(c_6478,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_3079,c_141]) ).
tcf(c_6479,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_3080,c_141]) ).
tcf(c_6480,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_3081,c_141]) ).
tcf(c_6481,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_3082,c_141]) ).
tcf(c_6482,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_3083,c_141]) ).
tcf(c_6483,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_3084,c_141]) ).
tcf(c_6484,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_3085,c_141]) ).
tcf(c_6485,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_3086,c_141]) ).
tcf(c_6486,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_3855,c_141]) ).
tcf(c_6487,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_3854,c_141]) ).
tcf(c_6488,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_5094,c_141]) ).
tcf(c_6489,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_5095,c_141]) ).
tcf(c_6490,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_5154,c_141]) ).
tcf(c_6491,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_5155,c_141]) ).
tcf(c_6492,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_141,c_95]) ).
tcf(c_6493,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_141,c_96]) ).
tcf(c_6494,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_6461,c_142]) ).
tcf(c_6501,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_6452,c_64]) ).
tcf(c_6508,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_6451,c_62]) ).
tcf(c_6516,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_6411,c_64]) ).
tcf(c_6523,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_6410,c_62]) ).
tcf(c_6530,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_6485,c_142,c_84]) ).
tcf(c_6537,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_6484,c_142,c_82]) ).
tcf(c_6544,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_6483,c_142,c_80]) ).
tcf(c_6551,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_6482,c_142,c_78]) ).
tcf(c_6558,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_6481,c_142,c_76]) ).
tcf(c_6565,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_6480,c_142,c_74]) ).
tcf(c_6572,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_6479,c_142,c_72]) ).
tcf(c_6579,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_6478,c_142,c_70]) ).
tcf(c_6586,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_6477,c_142,c_68]) ).
tcf(c_6593,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_6476,c_142,c_66]) ).
tcf(c_6600,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_6475,c_142,c_64]) ).
tcf(c_6607,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_6474,c_142,c_62]) ).
tcf(c_6614,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_6473,c_142,c_84]) ).
tcf(c_6621,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_6472,c_142,c_82]) ).
tcf(c_6628,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_6471,c_142,c_80]) ).
tcf(c_6635,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_6470,c_142,c_78]) ).
tcf(c_6642,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_6469,c_142,c_76]) ).
tcf(c_6649,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_6468,c_142,c_74]) ).
tcf(c_6656,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_6467,c_142,c_72]) ).
tcf(c_6663,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_6466,c_142,c_70]) ).
tcf(c_6670,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_6465,c_142,c_68]) ).
tcf(c_6677,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_6464,c_142,c_66]) ).
tcf(c_6684,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_6463,c_142,c_64]) ).
tcf(c_6691,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_6462,c_142,c_62]) ).
tcf(c_6698,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_6457,c_82,c_78]) ).
tcf(c_6705,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_6456,c_72,c_68]) ).
tcf(c_6712,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_6455,c_76,c_70]) ).
tcf(c_6719,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_6454,c_74,c_66]) ).
tcf(c_6726,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_6453,c_64,c_62]) ).
tcf(c_6733,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_6444,c_142,c_84,c_4123]) ).
tcf(c_6739,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_6443,c_142,c_82,c_4114]) ).
tcf(c_6745,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_6442,c_142,c_80]) ).
tcf(c_6752,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_6441,c_142,c_78,c_4122]) ).
tcf(c_6758,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_6440,c_142,c_76]) ).
tcf(c_6765,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_6439,c_142,c_74,c_3000]) ).
tcf(c_6771,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_6438,c_142,c_72,c_3001]) ).
tcf(c_6777,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_6437,c_142,c_70]) ).
tcf(c_6784,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_6436,c_142,c_68,c_2992]) ).
tcf(c_6790,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_6435,c_142,c_66,c_2993]) ).
tcf(c_6796,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_6434,c_142,c_64]) ).
tcf(c_6803,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_6433,c_142,c_62]) ).
tcf(c_6810,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_6432,c_142,c_84,c_3420]) ).
tcf(c_6816,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_6431,c_142,c_82,c_3420]) ).
tcf(c_6822,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_6430,c_142,c_80,c_3420]) ).
tcf(c_6828,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_6429,c_142,c_78,c_3420]) ).
tcf(c_6834,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_6428,c_142,c_76,c_3420]) ).
tcf(c_6840,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_6427,c_142,c_74,c_3420]) ).
tcf(c_6846,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_6426,c_142,c_72,c_3420]) ).
tcf(c_6852,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_6425,c_142,c_70,c_3420]) ).
tcf(c_6858,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_6424,c_142,c_68,c_3420]) ).
tcf(c_6864,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_6423,c_142,c_66,c_3420]) ).
tcf(c_6870,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_6422,c_142,c_64,c_3420]) ).
tcf(c_6876,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_6421,c_142,c_62,c_3420]) ).
tcf(c_6882,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_6416,c_82,c_78,c_4114]) ).
tcf(c_6888,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_6415,c_72,c_68,c_2992]) ).
tcf(c_6894,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_6414,c_76,c_70]) ).
tcf(c_6901,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_6413,c_74,c_66,c_3000]) ).
tcf(c_6907,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_6412,c_64,c_62]) ).
tcf(c_6914,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_6487,c_142,c_3847]) ).
tcf(c_6921,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_6486,c_142,c_3847]) ).
tcf(c_6935,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_6445,c_142,c_3847,c_3420]) ).
tcf(c_6941,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_6459,c_78]) ).
tcf(c_6949,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_6458,c_78]) ).
tcf(c_6957,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_6446,c_142,c_3847]) ).
tcf(c_6971,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_6418,c_78,c_4122]) ).
tcf(c_6978,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_6491,c_142,c_5143]) ).
tcf(c_6985,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_6490,c_142,c_5143]) ).
tcf(c_6992,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_6489,c_142,c_5083]) ).
tcf(c_6999,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_6488,c_142,c_5083]) ).
tcf(c_7006,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_6450,c_142,c_3420,c_5143]) ).
tcf(c_7012,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_6448,c_142,c_3420,c_5083]) ).
tcf(c_7018,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_6417,c_78]) ).
tcf(c_7026,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_6449,c_142,c_5143]) ).
tcf(c_7033,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_6447,c_142,c_5083]) ).
tcf(c_7188,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_62,c_131]) ).
tcf(c_7189,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_64,c_131]) ).
tcf(c_7190,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_66,c_131]) ).
tcf(c_7191,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_68,c_131]) ).
tcf(c_7192,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_70,c_131]) ).
tcf(c_7193,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_72,c_131]) ).
tcf(c_7194,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_74,c_131]) ).
tcf(c_7195,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_76,c_131]) ).
tcf(c_7196,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_78,c_131]) ).
tcf(c_7197,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_80,c_131]) ).
tcf(c_7198,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_82,c_131]) ).
tcf(c_7199,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_84,c_131]) ).
tcf(c_7200,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_98,c_131]) ).
tcf(c_7201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(X0,X1),X3),sdtasdt0(sdtlbdtrb0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_131]) ).
tcf(c_7202,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_127,c_131]) ).
tcf(c_7203,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_138,c_131]) ).
tcf(c_7204,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_142,c_131]) ).
tcf(c_7205,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_3847,c_131]) ).
tcf(c_7206,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_3132,c_131]) ).
tcf(c_7207,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_3884,c_131]) ).
tcf(c_7208,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_5083,c_131]) ).
tcf(c_7209,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_5143,c_131]) ).
tcf(c_7335,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aVector0(xs)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(instantiation,[status(thm)],[c_3817]) ).
tcf(c_7336,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aVector0(xs)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(instantiation,[status(thm)],[c_3817]) ).
tcf(c_7338,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aVector0(xs)
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(instantiation,[status(thm)],[c_3817]) ).
tcf(c_7344,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aVector0(xt)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(instantiation,[status(thm)],[c_3819]) ).
tcf(c_7345,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aVector0(xt)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(instantiation,[status(thm)],[c_3819]) ).
tcf(c_7347,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aVector0(xt)
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(instantiation,[status(thm)],[c_3819]) ).
tcf(c_7401,plain,
! [X0: $i] :
( ( sziznziztdt0(X0) = X0 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X0) ) ),
inference(equality_resolution,[status(thm)],[c_107]) ).
tcf(c_7417,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_113]) ).
tcf(c_7418,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_113]) ).
tcf(c_7419,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_113]) ).
tcf(c_7423,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_7418,c_52,c_61,c_663]) ).
tcf(c_7424,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_7423,c_53,c_50]) ).
tcf(c_7428,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_7417,c_52,c_61,c_663]) ).
tcf(c_7429,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_7428,c_50]) ).
tcf(c_7441,plain,
sdtasdt0(smndt0(xA),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3066]) ).
tcf(c_7442,plain,
sdtasdt0(smndt0(xB),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3066]) ).
tcf(c_7443,plain,
sdtasdt0(smndt0(xC),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3066]) ).
tcf(c_7444,plain,
sdtasdt0(smndt0(xD),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3066]) ).
tcf(c_7445,plain,
sdtasdt0(smndt0(xE),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3066]) ).
tcf(c_7446,plain,
sdtasdt0(smndt0(xF),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3066]) ).
tcf(c_7447,plain,
sdtasdt0(smndt0(xG),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3066]) ).
tcf(c_7448,plain,
sdtasdt0(smndt0(xH),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3066]) ).
tcf(c_7449,plain,
sdtasdt0(smndt0(xR),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3066]) ).
tcf(c_7450,plain,
sdtasdt0(smndt0(xP),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_3066]) ).
tcf(c_7451,plain,
sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_3066]) ).
tcf(c_7453,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_3066]) ).
tcf(c_7454,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_3066]) ).
tcf(c_7455,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3066]) ).
tcf(c_7456,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_3066]) ).
tcf(c_7457,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_3066]) ).
tcf(c_7458,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_3066]) ).
tcf(c_7459,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3066]) ).
tcf(c_7460,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3066]) ).
tcf(c_7461,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_3066]) ).
tcf(c_7462,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_3066]) ).
tcf(c_7505,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_7441,c_141]) ).
tcf(c_7506,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_7441,c_141]) ).
tcf(c_7507,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_7506,c_142]) ).
tcf(c_7515,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_7505,c_142,c_3420]) ).
tcf(c_7553,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_7442,c_141]) ).
tcf(c_7554,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_7442,c_141]) ).
tcf(c_7555,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_7554,c_142]) ).
tcf(c_7563,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_7553,c_142,c_3420]) ).
tcf(c_7576,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_7443,c_141]) ).
tcf(c_7577,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_7443,c_141]) ).
tcf(c_7578,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_7577,c_142]) ).
tcf(c_7586,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_7576,c_142,c_3420]) ).
tcf(c_7596,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_7444,c_141]) ).
tcf(c_7597,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_7444,c_141]) ).
tcf(c_7598,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_7597,c_142]) ).
tcf(c_7606,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_7596,c_142,c_3420]) ).
tcf(c_7636,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_7445,c_141]) ).
tcf(c_7637,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_7445,c_141]) ).
tcf(c_7638,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_7637,c_142]) ).
tcf(c_7646,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_7636,c_142,c_3420]) ).
tcf(c_7680,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_7446,c_141]) ).
tcf(c_7681,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_7446,c_141]) ).
tcf(c_7682,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_7681,c_142]) ).
tcf(c_7690,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_7680,c_142,c_3420]) ).
tcf(c_7700,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_7447,c_141]) ).
tcf(c_7701,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_7447,c_141]) ).
tcf(c_7702,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_7701,c_142]) ).
tcf(c_7710,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_7700,c_142,c_3420]) ).
tcf(c_7720,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_7448,c_141]) ).
tcf(c_7721,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_7448,c_141]) ).
tcf(c_7722,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_7721,c_142]) ).
tcf(c_7730,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_7720,c_142,c_3420]) ).
tcf(c_7740,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_7449,c_141]) ).
tcf(c_7741,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_7449,c_141]) ).
tcf(c_7742,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_7741,c_142]) ).
tcf(c_7750,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_7740,c_142,c_3420]) ).
tcf(c_7760,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_7450,c_141]) ).
tcf(c_7761,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_7450,c_141]) ).
tcf(c_7762,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_7761,c_142]) ).
tcf(c_7770,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_7760,c_142,c_3420]) ).
tcf(c_7780,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_7451,c_141]) ).
tcf(c_7781,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_7451,c_141]) ).
tcf(c_7782,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_7781,c_142]) ).
tcf(c_7790,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_7780,c_142,c_3420]) ).
tcf(c_7803,plain,
sdtasdt0(sz0z00,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3087]) ).
tcf(c_7804,plain,
sdtasdt0(sz0z00,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3087]) ).
tcf(c_7805,plain,
sdtasdt0(sz0z00,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3087]) ).
tcf(c_7806,plain,
sdtasdt0(sz0z00,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3087]) ).
tcf(c_7807,plain,
sdtasdt0(sz0z00,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3087]) ).
tcf(c_7808,plain,
sdtasdt0(sz0z00,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3087]) ).
tcf(c_7809,plain,
sdtasdt0(sz0z00,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3087]) ).
tcf(c_7810,plain,
sdtasdt0(sz0z00,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3087]) ).
tcf(c_7811,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3087]) ).
tcf(c_7812,plain,
sdtasdt0(sz0z00,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_3087]) ).
tcf(c_7813,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_3087]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_3087]) ).
tcf(c_7816,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_3087]) ).
tcf(c_7817,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3087]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_3087]) ).
tcf(c_7819,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_3087]) ).
tcf(c_7820,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_3087]) ).
tcf(c_7821,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3087]) ).
tcf(c_7822,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3087]) ).
tcf(c_7823,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_3087]) ).
tcf(c_7824,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_3087]) ).
tcf(c_7851,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aVector0(xt)
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(instantiation,[status(thm)],[c_3819]) ).
tcf(c_7852,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aVector0(xs)
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(instantiation,[status(thm)],[c_3817]) ).
tcf(c_7896,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_7803,c_141]) ).
tcf(c_7897,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_7803,c_141]) ).
tcf(c_7898,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_7897,c_142]) ).
tcf(c_7906,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_7896,c_142]) ).
tcf(c_7916,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_7804,c_141]) ).
tcf(c_7917,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_7804,c_141]) ).
tcf(c_7918,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_7917,c_142]) ).
tcf(c_7926,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_7916,c_142]) ).
tcf(c_7936,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_7805,c_141]) ).
tcf(c_7937,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_7805,c_141]) ).
tcf(c_7938,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_7937,c_142]) ).
tcf(c_7946,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_7936,c_142]) ).
tcf(c_7969,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_7806,c_141]) ).
tcf(c_7970,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_7806,c_141]) ).
tcf(c_7971,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_7970,c_142]) ).
tcf(c_7979,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_7969,c_142]) ).
tcf(c_7989,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_7807,c_141]) ).
tcf(c_7990,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_7807,c_141]) ).
tcf(c_7991,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_7990,c_142]) ).
tcf(c_7999,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_7989,c_142]) ).
tcf(c_8009,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_7808,c_141]) ).
tcf(c_8010,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_7808,c_141]) ).
tcf(c_8011,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_8010,c_142]) ).
tcf(c_8019,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_8009,c_142]) ).
tcf(c_8029,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_7809,c_141]) ).
tcf(c_8030,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_7809,c_141]) ).
tcf(c_8031,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_8030,c_142]) ).
tcf(c_8039,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_8029,c_142]) ).
tcf(c_8049,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_7810,c_141]) ).
tcf(c_8050,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_7810,c_141]) ).
tcf(c_8051,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_8050,c_142]) ).
tcf(c_8059,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_8049,c_142]) ).
tcf(c_8069,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_7811,c_141]) ).
tcf(c_8070,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_7811,c_141]) ).
tcf(c_8071,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_8070,c_142]) ).
tcf(c_8079,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_8069,c_142]) ).
tcf(c_8089,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_7812,c_141]) ).
tcf(c_8090,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_7812,c_141]) ).
tcf(c_8091,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_8090,c_142]) ).
tcf(c_8099,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_8089,c_142]) ).
tcf(c_8109,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_7813,c_141]) ).
tcf(c_8110,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_7813,c_141]) ).
tcf(c_8111,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_8110,c_142]) ).
tcf(c_8119,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_8109,c_142]) ).
tcf(c_8129,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_7461,c_141]) ).
tcf(c_8130,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_7461,c_141]) ).
tcf(c_8131,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_8130,c_142]) ).
tcf(c_8139,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_8129,c_142,c_3420]) ).
tcf(c_8161,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_7462,c_141]) ).
tcf(c_8162,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_7462,c_141]) ).
tcf(c_8163,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_8162,c_142]) ).
tcf(c_8171,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_8161,c_142,c_3420]) ).
tcf(c_8180,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_7823,c_141]) ).
tcf(c_8181,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_7823,c_141]) ).
tcf(c_8182,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_8181,c_142]) ).
tcf(c_8190,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_8180,c_142]) ).
tcf(c_8200,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_7824,c_141]) ).
tcf(c_8201,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_7824,c_141]) ).
tcf(c_8202,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_8201,c_142]) ).
tcf(c_8210,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_8200,c_142]) ).
tcf(c_8220,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_5096,c_130]) ).
tcf(c_8221,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_5096,c_130]) ).
tcf(c_8222,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_8221,c_142,c_5083]) ).
tcf(c_8228,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_8220,c_142,c_5083]) ).
tcf(c_8242,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(xG)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4191]) ).
tcf(c_8245,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xG)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8242,c_74]) ).
tcf(c_8255,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_8245,c_95]) ).
tcf(c_8256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xG)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8245,c_96]) ).
tcf(c_8257,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_8245,c_95]) ).
tcf(c_8258,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_8245,c_96]) ).
tcf(c_8260,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xG )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8258,c_74]) ).
tcf(c_8265,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xG)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8256,c_142]) ).
tcf(c_8270,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_8257,c_74]) ).
tcf(c_8276,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_8255,c_142]) ).
tcf(c_8288,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(xF)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4195]) ).
tcf(c_8292,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xF)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8288,c_72]) ).
tcf(c_8302,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_8292,c_95]) ).
tcf(c_8303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xF)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8292,c_96]) ).
tcf(c_8304,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_8292,c_95]) ).
tcf(c_8305,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_8292,c_96]) ).
tcf(c_8308,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xF )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8305,c_72]) ).
tcf(c_8313,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xF)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8303,c_142]) ).
tcf(c_8318,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_8304,c_72]) ).
tcf(c_8324,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_8302,c_142]) ).
tcf(c_8365,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(xD)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4199]) ).
tcf(c_8370,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xD)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8365,c_68]) ).
tcf(c_8380,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_8370,c_95]) ).
tcf(c_8381,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xD)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8370,c_96]) ).
tcf(c_8382,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_8370,c_95]) ).
tcf(c_8383,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_8370,c_96]) ).
tcf(c_8387,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xD )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8383,c_68]) ).
tcf(c_8392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xD)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8381,c_142]) ).
tcf(c_8397,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_8382,c_68]) ).
tcf(c_8403,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_8380,c_142]) ).
tcf(c_8423,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(xC)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4203]) ).
tcf(c_8429,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xC)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8423,c_66]) ).
tcf(c_8439,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_8429,c_95]) ).
tcf(c_8440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xC)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8429,c_96]) ).
tcf(c_8441,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_8429,c_95]) ).
tcf(c_8442,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_8429,c_96]) ).
tcf(c_8447,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xC )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8442,c_66]) ).
tcf(c_8452,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xC)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8440,c_142]) ).
tcf(c_8457,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_8441,c_66]) ).
tcf(c_8463,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_8439,c_142]) ).
tcf(c_8482,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(xS)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4424]) ).
tcf(c_8489,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xS)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8482,c_82]) ).
tcf(c_8499,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_8489,c_95]) ).
tcf(c_8500,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xS)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8489,c_96]) ).
tcf(c_8501,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_8489,c_95]) ).
tcf(c_8502,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_8489,c_96]) ).
tcf(c_8508,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xS )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8502,c_82]) ).
tcf(c_8513,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xS)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8500,c_142]) ).
tcf(c_8518,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_8501,c_82]) ).
tcf(c_8524,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_8499,c_142]) ).
tcf(c_8544,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(xR)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4433]) ).
tcf(c_8552,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xR)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8544,c_78]) ).
tcf(c_8562,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_8552,c_95]) ).
tcf(c_8563,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xR)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8552,c_96]) ).
tcf(c_8564,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_8552,c_95]) ).
tcf(c_8565,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_8552,c_96]) ).
tcf(c_8572,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xR )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8565,c_78]) ).
tcf(c_8577,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xR)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8563,c_142]) ).
tcf(c_8582,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_8564,c_78]) ).
tcf(c_8588,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_8562,c_142]) ).
tcf(c_8600,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(xN)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_94,c_4442]) ).
tcf(c_8609,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(X0,xN)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8600,c_84]) ).
tcf(c_8619,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_8609,c_95]) ).
tcf(c_8620,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xN)
| ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_8609,c_96]) ).
tcf(c_8621,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_8609,c_95]) ).
tcf(c_8622,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_8609,c_96]) ).
tcf(c_8630,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ( X0 = xN )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8622,c_84]) ).
tcf(c_8635,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xN)
| ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8620,c_142]) ).
tcf(c_8640,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_8621,c_84]) ).
tcf(c_8646,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_8619,c_142]) ).
tcf(c_8742,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_5097,c_130]) ).
tcf(c_8743,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_5097,c_130]) ).
tcf(c_8744,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_8743,c_142,c_5083]) ).
tcf(c_8750,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_8742,c_142,c_5083]) ).
tcf(c_8759,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_5151,c_130]) ).
tcf(c_8760,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_5151,c_130]) ).
tcf(c_8761,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_8760,c_5143]) ).
tcf(c_8768,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_8759,c_5143]) ).
tcf(c_8779,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_5156,c_130]) ).
tcf(c_8780,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_5156,c_130]) ).
tcf(c_8781,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_8780,c_142,c_5143]) ).
tcf(c_8787,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_8779,c_142,c_5143]) ).
tcf(c_8797,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_5157,c_130]) ).
tcf(c_8798,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_5157,c_130]) ).
tcf(c_8799,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_8798,c_142,c_5143]) ).
tcf(c_8805,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_8797,c_142,c_5143]) ).
tcf(c_8815,plain,
sdtpldt0(smndt0(xA),sz0z00) = smndt0(xA),
inference(superposition,[status(thm)],[c_62,c_3024]) ).
tcf(c_8816,plain,
sdtpldt0(smndt0(xB),sz0z00) = smndt0(xB),
inference(superposition,[status(thm)],[c_64,c_3024]) ).
tcf(c_8817,plain,
sdtpldt0(smndt0(xC),sz0z00) = smndt0(xC),
inference(superposition,[status(thm)],[c_66,c_3024]) ).
tcf(c_8818,plain,
sdtpldt0(smndt0(xD),sz0z00) = smndt0(xD),
inference(superposition,[status(thm)],[c_68,c_3024]) ).
tcf(c_8819,plain,
sdtpldt0(smndt0(xE),sz0z00) = smndt0(xE),
inference(superposition,[status(thm)],[c_70,c_3024]) ).
tcf(c_8820,plain,
sdtpldt0(smndt0(xF),sz0z00) = smndt0(xF),
inference(superposition,[status(thm)],[c_72,c_3024]) ).
tcf(c_8821,plain,
sdtpldt0(smndt0(xG),sz0z00) = smndt0(xG),
inference(superposition,[status(thm)],[c_74,c_3024]) ).
tcf(c_8822,plain,
sdtpldt0(smndt0(xH),sz0z00) = smndt0(xH),
inference(superposition,[status(thm)],[c_76,c_3024]) ).
tcf(c_8823,plain,
sdtpldt0(smndt0(xR),sz0z00) = smndt0(xR),
inference(superposition,[status(thm)],[c_78,c_3024]) ).
tcf(c_8824,plain,
sdtpldt0(smndt0(xP),sz0z00) = smndt0(xP),
inference(superposition,[status(thm)],[c_80,c_3024]) ).
tcf(c_8825,plain,
sdtpldt0(smndt0(xS),sz0z00) = smndt0(xS),
inference(superposition,[status(thm)],[c_82,c_3024]) ).
tcf(c_8827,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_3024]) ).
tcf(c_8828,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_3024]) ).
tcf(c_8829,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz0z00) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3024]) ).
tcf(c_8830,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_3024]) ).
tcf(c_8831,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_142,c_3024]) ).
tcf(c_8832,plain,
sdtpldt0(smndt0(smndt0(xN)),sz0z00) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3024]) ).
tcf(c_8833,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sz0z00) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3024]) ).
tcf(c_8834,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3024]) ).
tcf(c_8835,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sz0z00) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3024]) ).
tcf(c_8836,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),sz0z00) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3024]) ).
tcf(c_8874,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_8815,c_130]) ).
tcf(c_8875,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_8815,c_130]) ).
tcf(c_8876,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_8875,c_142]) ).
tcf(c_8883,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_8874,c_142]) ).
tcf(c_8894,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_8816,c_130]) ).
tcf(c_8895,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_8816,c_130]) ).
tcf(c_8896,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_8895,c_142]) ).
tcf(c_8903,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_8894,c_142]) ).
tcf(c_8914,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_8817,c_130]) ).
tcf(c_8915,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_8817,c_130]) ).
tcf(c_8916,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_8915,c_142]) ).
tcf(c_8923,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_8914,c_142]) ).
tcf(c_8993,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_8818,c_130]) ).
tcf(c_8994,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_8818,c_130]) ).
tcf(c_8995,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_8994,c_142]) ).
tcf(c_9002,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_8993,c_142]) ).
tcf(c_9013,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_8819,c_130]) ).
tcf(c_9014,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_8819,c_130]) ).
tcf(c_9015,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_9014,c_142]) ).
tcf(c_9022,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_9013,c_142]) ).
tcf(c_9033,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_8820,c_130]) ).
tcf(c_9034,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_8820,c_130]) ).
tcf(c_9035,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_9034,c_142]) ).
tcf(c_9042,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_9033,c_142]) ).
tcf(c_9060,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_8821,c_130]) ).
tcf(c_9061,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_8821,c_130]) ).
tcf(c_9062,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_9061,c_142]) ).
tcf(c_9069,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_9060,c_142]) ).
tcf(c_9139,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_8822,c_130]) ).
tcf(c_9140,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_8822,c_130]) ).
tcf(c_9141,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_9140,c_142]) ).
tcf(c_9148,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_9139,c_142]) ).
tcf(c_9159,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_8823,c_130]) ).
tcf(c_9160,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_8823,c_130]) ).
tcf(c_9161,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_9160,c_142]) ).
tcf(c_9168,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_9159,c_142]) ).
tcf(c_9179,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_8824,c_130]) ).
tcf(c_9180,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_8824,c_130]) ).
tcf(c_9181,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_9180,c_142]) ).
tcf(c_9188,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_9179,c_142]) ).
tcf(c_9199,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_8825,c_130]) ).
tcf(c_9200,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_8825,c_130]) ).
tcf(c_9201,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_9200,c_142]) ).
tcf(c_9208,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_9199,c_142]) ).
tcf(c_9221,plain,
sdtpldt0(sz0z00,smndt0(xA)) = smndt0(xA),
inference(superposition,[status(thm)],[c_62,c_3045]) ).
tcf(c_9222,plain,
sdtpldt0(sz0z00,smndt0(xB)) = smndt0(xB),
inference(superposition,[status(thm)],[c_64,c_3045]) ).
tcf(c_9223,plain,
sdtpldt0(sz0z00,smndt0(xC)) = smndt0(xC),
inference(superposition,[status(thm)],[c_66,c_3045]) ).
tcf(c_9224,plain,
sdtpldt0(sz0z00,smndt0(xD)) = smndt0(xD),
inference(superposition,[status(thm)],[c_68,c_3045]) ).
tcf(c_9225,plain,
sdtpldt0(sz0z00,smndt0(xE)) = smndt0(xE),
inference(superposition,[status(thm)],[c_70,c_3045]) ).
tcf(c_9226,plain,
sdtpldt0(sz0z00,smndt0(xF)) = smndt0(xF),
inference(superposition,[status(thm)],[c_72,c_3045]) ).
tcf(c_9227,plain,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(superposition,[status(thm)],[c_74,c_3045]) ).
tcf(c_9228,plain,
sdtpldt0(sz0z00,smndt0(xH)) = smndt0(xH),
inference(superposition,[status(thm)],[c_76,c_3045]) ).
tcf(c_9229,plain,
sdtpldt0(sz0z00,smndt0(xR)) = smndt0(xR),
inference(superposition,[status(thm)],[c_78,c_3045]) ).
tcf(c_9230,plain,
sdtpldt0(sz0z00,smndt0(xP)) = smndt0(xP),
inference(superposition,[status(thm)],[c_80,c_3045]) ).
tcf(c_9231,plain,
sdtpldt0(sz0z00,smndt0(xS)) = smndt0(xS),
inference(superposition,[status(thm)],[c_82,c_3045]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_3045]) ).
tcf(c_9234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_3045]) ).
tcf(c_9235,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3045]) ).
tcf(c_9236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_3045]) ).
tcf(c_9237,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_142,c_3045]) ).
tcf(c_9238,plain,
sdtpldt0(sz0z00,smndt0(smndt0(xN))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3045]) ).
tcf(c_9239,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3045]) ).
tcf(c_9240,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3045]) ).
tcf(c_9241,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3045]) ).
tcf(c_9242,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3045]) ).
tcf(c_9267,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_9221,c_130]) ).
tcf(c_9268,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_9221,c_130]) ).
tcf(c_9269,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_9268,c_142]) ).
tcf(c_9276,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_9267,c_142]) ).
tcf(c_9285,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_5152,c_130]) ).
tcf(c_9286,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_5152,c_130]) ).
tcf(c_9287,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_9286,c_5143]) ).
tcf(c_9294,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_9285,c_5143]) ).
tcf(c_9303,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_9222,c_130]) ).
tcf(c_9304,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_9222,c_130]) ).
tcf(c_9305,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_9304,c_142]) ).
tcf(c_9312,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_9303,c_142]) ).
tcf(c_9321,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_9223,c_130]) ).
tcf(c_9322,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_9223,c_130]) ).
tcf(c_9323,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_9322,c_142]) ).
tcf(c_9330,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_9321,c_142]) ).
tcf(c_9356,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_9224,c_130]) ).
tcf(c_9357,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_9224,c_130]) ).
tcf(c_9358,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_9357,c_142]) ).
tcf(c_9365,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_9356,c_142]) ).
tcf(c_9374,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_9225,c_130]) ).
tcf(c_9375,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_9225,c_130]) ).
tcf(c_9376,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_9375,c_142]) ).
tcf(c_9383,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_9374,c_142]) ).
tcf(c_9392,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_9226,c_130]) ).
tcf(c_9393,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_9226,c_130]) ).
tcf(c_9394,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_9393,c_142]) ).
tcf(c_9401,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_9392,c_142]) ).
tcf(c_9410,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_9227,c_130]) ).
tcf(c_9411,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_9227,c_130]) ).
tcf(c_9412,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_9411,c_142]) ).
tcf(c_9419,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_9410,c_142]) ).
tcf(c_9428,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_9228,c_130]) ).
tcf(c_9429,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_9228,c_130]) ).
tcf(c_9430,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_9429,c_142]) ).
tcf(c_9437,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_9428,c_142]) ).
tcf(c_9447,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_9229,c_130]) ).
tcf(c_9448,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_9229,c_130]) ).
tcf(c_9449,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_9448,c_142]) ).
tcf(c_9456,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_9447,c_142]) ).
tcf(c_9476,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_9230,c_130]) ).
tcf(c_9477,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_9230,c_130]) ).
tcf(c_9478,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_9477,c_142]) ).
tcf(c_9485,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_9476,c_142]) ).
tcf(c_9494,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_9231,c_130]) ).
tcf(c_9495,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_9231,c_130]) ).
tcf(c_9496,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_9495,c_142]) ).
tcf(c_9503,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_9494,c_142]) ).
tcf(c_9533,plain,
smndt0(smndt0(smndt0(xA))) = smndt0(xA),
inference(superposition,[status(thm)],[c_62,c_3108]) ).
tcf(c_9534,plain,
smndt0(smndt0(smndt0(xB))) = smndt0(xB),
inference(superposition,[status(thm)],[c_64,c_3108]) ).
tcf(c_9535,plain,
smndt0(smndt0(smndt0(xC))) = smndt0(xC),
inference(superposition,[status(thm)],[c_66,c_3108]) ).
tcf(c_9536,plain,
smndt0(smndt0(smndt0(xD))) = smndt0(xD),
inference(superposition,[status(thm)],[c_68,c_3108]) ).
tcf(c_9537,plain,
smndt0(smndt0(smndt0(xE))) = smndt0(xE),
inference(superposition,[status(thm)],[c_70,c_3108]) ).
tcf(c_9538,plain,
smndt0(smndt0(smndt0(xF))) = smndt0(xF),
inference(superposition,[status(thm)],[c_72,c_3108]) ).
tcf(c_9539,plain,
smndt0(smndt0(smndt0(xG))) = smndt0(xG),
inference(superposition,[status(thm)],[c_74,c_3108]) ).
tcf(c_9540,plain,
smndt0(smndt0(smndt0(xH))) = smndt0(xH),
inference(superposition,[status(thm)],[c_76,c_3108]) ).
tcf(c_9541,plain,
smndt0(smndt0(smndt0(xR))) = smndt0(xR),
inference(superposition,[status(thm)],[c_78,c_3108]) ).
tcf(c_9542,plain,
smndt0(smndt0(smndt0(xP))) = smndt0(xP),
inference(superposition,[status(thm)],[c_80,c_3108]) ).
tcf(c_9543,plain,
smndt0(smndt0(smndt0(xS))) = smndt0(xS),
inference(superposition,[status(thm)],[c_82,c_3108]) ).
tcf(c_9545,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_3108]) ).
tcf(c_9546,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))) = smndt0(sdtlbdtrb0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_3108]) ).
tcf(c_9547,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(smndt0(X0)))) = smndt0(smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3108]) ).
tcf(c_9548,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_3108]) ).
tcf(c_9549,plain,
smndt0(smndt0(smndt0(sz0z00))) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_142,c_3108]) ).
tcf(c_9550,plain,
smndt0(smndt0(smndt0(smndt0(xN)))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3108]) ).
tcf(c_9551,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3108]) ).
tcf(c_9552,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))) = smndt0(sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3108]) ).
tcf(c_9553,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = smndt0(sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3108]) ).
tcf(c_9554,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = smndt0(sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3108]) ).
tcf(c_9603,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_94,c_4118]) ).
tcf(c_9605,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8609,c_4118]) ).
tcf(c_9606,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8552,c_4118]) ).
tcf(c_9607,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8489,c_4118]) ).
tcf(c_9608,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8429,c_4118]) ).
tcf(c_9609,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8370,c_4118]) ).
tcf(c_9610,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8292,c_4118]) ).
tcf(c_9611,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8245,c_4118]) ).
tcf(c_9612,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9611,c_70]) ).
tcf(c_9616,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9610,c_70]) ).
tcf(c_9620,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9609,c_70]) ).
tcf(c_9624,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9608,c_70]) ).
tcf(c_9628,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9607,c_70]) ).
tcf(c_9632,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9606,c_70]) ).
tcf(c_9636,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9605,c_70]) ).
tcf(c_9640,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9603,c_142,c_70]) ).
tcf(c_9693,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9612]) ).
tcf(c_9695,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9612]) ).
tcf(c_9696,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9612]) ).
tcf(c_9697,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9612]) ).
tcf(c_9698,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9612]) ).
tcf(c_9699,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9612]) ).
tcf(c_9700,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9612]) ).
tcf(c_9701,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xG)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9612]) ).
tcf(c_9702,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9701,c_76]) ).
tcf(c_9706,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9700,c_76]) ).
tcf(c_9710,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9699,c_76]) ).
tcf(c_9714,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9698,c_76]) ).
tcf(c_9718,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9697,c_76]) ).
tcf(c_9722,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9696,c_76]) ).
tcf(c_9726,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9695,c_76]) ).
tcf(c_9730,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9693,c_142,c_76]) ).
tcf(c_9780,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_9702,c_95]) ).
tcf(c_9781,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_9702,c_96]) ).
tcf(c_9782,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9781,c_76,c_74]) ).
tcf(c_9787,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9780,c_76,c_74]) ).
tcf(c_9799,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_9706,c_95]) ).
tcf(c_9800,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_9706,c_96]) ).
tcf(c_9801,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9800,c_76,c_72]) ).
tcf(c_9806,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9799,c_76,c_72]) ).
tcf(c_9831,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_9710,c_95]) ).
tcf(c_9832,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_9710,c_96]) ).
tcf(c_9833,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9832,c_76,c_68]) ).
tcf(c_9838,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9831,c_76,c_68]) ).
tcf(c_9846,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_8835,c_130]) ).
tcf(c_9847,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_8835,c_130]) ).
tcf(c_9848,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_9847,c_142]) ).
tcf(c_9855,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_9846,c_142]) ).
tcf(c_9870,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_9730,c_95]) ).
tcf(c_9871,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_9730,c_96]) ).
tcf(c_9872,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9871,c_142,c_76]) ).
tcf(c_9877,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9870,c_142,c_76]) ).
tcf(c_9889,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9640]) ).
tcf(c_9891,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9640]) ).
tcf(c_9892,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9640]) ).
tcf(c_9893,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9640]) ).
tcf(c_9894,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9640]) ).
tcf(c_9895,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9640]) ).
tcf(c_9896,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9640]) ).
tcf(c_9897,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9640]) ).
tcf(c_9898,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9897,c_76]) ).
tcf(c_9902,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9896,c_76]) ).
tcf(c_9906,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9895,c_76]) ).
tcf(c_9910,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9894,c_76]) ).
tcf(c_9914,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9893,c_76]) ).
tcf(c_9918,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9892,c_76]) ).
tcf(c_9922,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9891,c_76]) ).
tcf(c_9926,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9889,c_142,c_76]) ).
tcf(c_9970,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_9926,c_95]) ).
tcf(c_9971,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_9926,c_96]) ).
tcf(c_9972,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9971,c_142,c_76]) ).
tcf(c_9977,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9970,c_142,c_76]) ).
tcf(c_10054,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_94,c_4124]) ).
tcf(c_10056,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8609,c_4124]) ).
tcf(c_10057,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8552,c_4124]) ).
tcf(c_10058,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8489,c_4124]) ).
tcf(c_10059,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8429,c_4124]) ).
tcf(c_10060,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8370,c_4124]) ).
tcf(c_10061,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8292,c_4124]) ).
tcf(c_10062,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8245,c_4124]) ).
tcf(c_10063,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10062,c_62]) ).
tcf(c_10067,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10061,c_62]) ).
tcf(c_10071,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10060,c_62]) ).
tcf(c_10075,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10059,c_62]) ).
tcf(c_10079,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10058,c_62]) ).
tcf(c_10083,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10057,c_62]) ).
tcf(c_10087,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10056,c_62]) ).
tcf(c_10091,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10054,c_142,c_62]) ).
tcf(c_10155,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_9714,c_95]) ).
tcf(c_10156,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_9714,c_96]) ).
tcf(c_10157,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10156,c_76,c_66]) ).
tcf(c_10162,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10155,c_76,c_66]) ).
tcf(c_10174,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_9718,c_95]) ).
tcf(c_10175,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_9718,c_96]) ).
tcf(c_10176,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10175,c_82,c_76]) ).
tcf(c_10181,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10174,c_82,c_76]) ).
tcf(c_10194,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_9722,c_95]) ).
tcf(c_10195,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_9722,c_96]) ).
tcf(c_10196,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10195,c_78,c_76]) ).
tcf(c_10201,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10194,c_78,c_76]) ).
tcf(c_10220,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_9726,c_95]) ).
tcf(c_10221,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_9726,c_96]) ).
tcf(c_10222,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10221,c_84,c_76]) ).
tcf(c_10227,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xG)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10220,c_84,c_76]) ).
tcf(c_10240,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_9898,c_95]) ).
tcf(c_10241,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_9898,c_96]) ).
tcf(c_10242,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10241,c_76,c_74]) ).
tcf(c_10247,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10240,c_76,c_74]) ).
tcf(c_10259,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_9902,c_95]) ).
tcf(c_10260,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_9902,c_96]) ).
tcf(c_10261,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10260,c_76,c_72]) ).
tcf(c_10266,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10259,c_76,c_72]) ).
tcf(c_10278,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_9906,c_95]) ).
tcf(c_10279,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_9906,c_96]) ).
tcf(c_10280,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10279,c_76,c_68]) ).
tcf(c_10285,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10278,c_76,c_68]) ).
tcf(c_10303,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_9910,c_95]) ).
tcf(c_10304,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_9910,c_96]) ).
tcf(c_10305,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10304,c_76,c_66]) ).
tcf(c_10310,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10303,c_76,c_66]) ).
tcf(c_10322,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_9914,c_95]) ).
tcf(c_10323,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_9914,c_96]) ).
tcf(c_10324,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10323,c_82,c_76]) ).
tcf(c_10329,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10322,c_82,c_76]) ).
tcf(c_10342,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_9918,c_95]) ).
tcf(c_10343,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_9918,c_96]) ).
tcf(c_10344,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10343,c_78,c_76]) ).
tcf(c_10349,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10342,c_78,c_76]) ).
tcf(c_10362,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_9922,c_95]) ).
tcf(c_10363,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_9922,c_96]) ).
tcf(c_10364,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10363,c_84,c_76]) ).
tcf(c_10369,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10362,c_84,c_76]) ).
tcf(c_10388,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9616]) ).
tcf(c_10390,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9616]) ).
tcf(c_10391,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9616]) ).
tcf(c_10392,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9616]) ).
tcf(c_10393,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9616]) ).
tcf(c_10394,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9616]) ).
tcf(c_10395,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9616]) ).
tcf(c_10396,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xF)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9616]) ).
tcf(c_10397,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10396,c_76]) ).
tcf(c_10401,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10395,c_76]) ).
tcf(c_10405,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10394,c_76]) ).
tcf(c_10409,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10393,c_76]) ).
tcf(c_10413,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10392,c_76]) ).
tcf(c_10417,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10391,c_76]) ).
tcf(c_10421,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10390,c_76]) ).
tcf(c_10425,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10388,c_142,c_76]) ).
tcf(c_10437,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_8836,c_130]) ).
tcf(c_10438,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_8836,c_130]) ).
tcf(c_10439,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_10438,c_142]) ).
tcf(c_10446,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_10437,c_142]) ).
tcf(c_10461,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_10425,c_95]) ).
tcf(c_10462,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_10425,c_96]) ).
tcf(c_10463,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10462,c_142,c_76]) ).
tcf(c_10468,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10461,c_142,c_76]) ).
tcf(c_10480,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10091]) ).
tcf(c_10482,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10091]) ).
tcf(c_10483,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10091]) ).
tcf(c_10484,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10091]) ).
tcf(c_10485,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10091]) ).
tcf(c_10486,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10091]) ).
tcf(c_10487,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10091]) ).
tcf(c_10488,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10091]) ).
tcf(c_10489,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10488,c_64]) ).
tcf(c_10493,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10487,c_64]) ).
tcf(c_10497,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10486,c_64]) ).
tcf(c_10501,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10485,c_64]) ).
tcf(c_10505,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10484,c_64]) ).
tcf(c_10509,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10483,c_64]) ).
tcf(c_10513,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10482,c_64]) ).
tcf(c_10517,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10480,c_142,c_64]) ).
tcf(c_10533,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_10517,c_95]) ).
tcf(c_10534,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_10517,c_96]) ).
tcf(c_10535,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10534,c_142,c_64]) ).
tcf(c_10540,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10533,c_142,c_64]) ).
tcf(c_10556,plain,
sdtasdt0(sz0z00,sdtasasdt0(xs,xs)) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_4919]) ).
tcf(c_10557,plain,
sdtasdt0(sz0z00,sdtasasdt0(xt,xt)) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_4919]) ).
tcf(c_10558,plain,
sdtasdt0(sz0z00,sdtasasdt0(xp,xp)) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_4919]) ).
tcf(c_10559,plain,
sdtasdt0(sz0z00,sdtasasdt0(xq,xq)) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_4919]) ).
tcf(c_10560,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_4919]) ).
tcf(c_10569,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_10556,c_141]) ).
tcf(c_10570,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_10556,c_141]) ).
tcf(c_10571,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_10570,c_142]) ).
tcf(c_10579,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_10569,c_142]) ).
tcf(c_10590,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_10557,c_141]) ).
tcf(c_10591,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_10557,c_141]) ).
tcf(c_10592,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_10591,c_142]) ).
tcf(c_10600,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_10590,c_142]) ).
tcf(c_10621,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_10397,c_95]) ).
tcf(c_10622,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_10397,c_96]) ).
tcf(c_10623,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10622,c_76,c_74]) ).
tcf(c_10628,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10621,c_76,c_74]) ).
tcf(c_10640,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_10401,c_95]) ).
tcf(c_10641,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_10401,c_96]) ).
tcf(c_10642,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10641,c_76,c_72]) ).
tcf(c_10647,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10640,c_76,c_72]) ).
tcf(c_10659,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_10405,c_95]) ).
tcf(c_10660,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_10405,c_96]) ).
tcf(c_10661,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10660,c_76,c_68]) ).
tcf(c_10666,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10659,c_76,c_68]) ).
tcf(c_10678,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_10409,c_95]) ).
tcf(c_10679,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_10409,c_96]) ).
tcf(c_10680,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10679,c_76,c_66]) ).
tcf(c_10685,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10678,c_76,c_66]) ).
tcf(c_10767,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_10413,c_95]) ).
tcf(c_10768,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_10413,c_96]) ).
tcf(c_10769,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10768,c_82,c_76]) ).
tcf(c_10774,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10767,c_82,c_76]) ).
tcf(c_10787,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_10417,c_95]) ).
tcf(c_10788,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_10417,c_96]) ).
tcf(c_10789,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10788,c_78,c_76]) ).
tcf(c_10794,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10787,c_78,c_76]) ).
tcf(c_10807,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_10421,c_95]) ).
tcf(c_10808,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_10421,c_96]) ).
tcf(c_10809,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10808,c_84,c_76]) ).
tcf(c_10814,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xF)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10807,c_84,c_76]) ).
tcf(c_10827,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_10489,c_95]) ).
tcf(c_10828,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_10489,c_96]) ).
tcf(c_10829,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10828,c_74,c_64]) ).
tcf(c_10834,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10827,c_74,c_64]) ).
tcf(c_10846,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_10493,c_95]) ).
tcf(c_10847,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_10493,c_96]) ).
tcf(c_10848,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10847,c_72,c_64]) ).
tcf(c_10853,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10846,c_72,c_64]) ).
tcf(c_10865,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_10497,c_95]) ).
tcf(c_10866,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_10497,c_96]) ).
tcf(c_10867,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10866,c_68,c_64]) ).
tcf(c_10872,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10865,c_68,c_64]) ).
tcf(c_10886,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_9241,c_130]) ).
tcf(c_10887,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_9241,c_130]) ).
tcf(c_10888,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_10887,c_142]) ).
tcf(c_10895,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_10886,c_142]) ).
tcf(c_10906,plain,
sdtasdt0(sdtasasdt0(xs,xs),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_4920]) ).
tcf(c_10907,plain,
sdtasdt0(sdtasasdt0(xt,xt),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_4920]) ).
tcf(c_10908,plain,
sdtasdt0(sdtasasdt0(xp,xp),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_4920]) ).
tcf(c_10909,plain,
sdtasdt0(sdtasasdt0(xq,xq),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_4920]) ).
tcf(c_10910,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_4920]) ).
tcf(c_10919,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_10906,c_141]) ).
tcf(c_10920,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_10906,c_141]) ).
tcf(c_10921,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_10920,c_142]) ).
tcf(c_10929,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_10919,c_142,c_3420]) ).
tcf(c_10938,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_10907,c_141]) ).
tcf(c_10939,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_10907,c_141]) ).
tcf(c_10940,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_10939,c_142]) ).
tcf(c_10948,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_10938,c_142,c_3420]) ).
tcf(c_10965,plain,
sdtasdt0(smndt0(smndt0(xA)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_7455]) ).
tcf(c_10966,plain,
sdtasdt0(smndt0(smndt0(xB)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_7455]) ).
tcf(c_10967,plain,
sdtasdt0(smndt0(smndt0(xC)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_7455]) ).
tcf(c_10968,plain,
sdtasdt0(smndt0(smndt0(xD)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_7455]) ).
tcf(c_10969,plain,
sdtasdt0(smndt0(smndt0(xE)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_7455]) ).
tcf(c_10970,plain,
sdtasdt0(smndt0(smndt0(xF)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_7455]) ).
tcf(c_10971,plain,
sdtasdt0(smndt0(smndt0(xG)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_7455]) ).
tcf(c_10972,plain,
sdtasdt0(smndt0(smndt0(xH)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_7455]) ).
tcf(c_10973,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_7455]) ).
tcf(c_10974,plain,
sdtasdt0(smndt0(smndt0(xP)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_7455]) ).
tcf(c_10975,plain,
sdtasdt0(smndt0(smndt0(xS)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_7455]) ).
tcf(c_10977,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_7455]) ).
tcf(c_10978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_7455]) ).
tcf(c_10979,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(X0))),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_7455]) ).
tcf(c_10980,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_7455]) ).
tcf(c_10981,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_7455]) ).
tcf(c_10982,plain,
sdtasdt0(smndt0(smndt0(smndt0(xN))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_7455]) ).
tcf(c_10983,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_7455]) ).
tcf(c_10984,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasasdt0(X0,X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_7455]) ).
tcf(c_10985,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_7455]) ).
tcf(c_10986,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_7455]) ).
tcf(c_11034,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_10501,c_95]) ).
tcf(c_11035,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_10501,c_96]) ).
tcf(c_11036,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11035,c_66,c_64]) ).
tcf(c_11041,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11034,c_66,c_64]) ).
tcf(c_11053,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_10505,c_95]) ).
tcf(c_11054,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_10505,c_96]) ).
tcf(c_11055,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11054,c_82,c_64]) ).
tcf(c_11060,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_82,c_64]) ).
tcf(c_11073,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_10509,c_95]) ).
tcf(c_11074,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_10509,c_96]) ).
tcf(c_11075,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11074,c_78,c_64]) ).
tcf(c_11080,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11073,c_78,c_64]) ).
tcf(c_11093,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_10513,c_95]) ).
tcf(c_11094,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_10513,c_96]) ).
tcf(c_11095,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11094,c_84,c_64]) ).
tcf(c_11100,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11093,c_84,c_64]) ).
tcf(c_11119,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9620]) ).
tcf(c_11121,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9620]) ).
tcf(c_11122,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9620]) ).
tcf(c_11123,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9620]) ).
tcf(c_11124,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9620]) ).
tcf(c_11125,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9620]) ).
tcf(c_11126,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9620]) ).
tcf(c_11127,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xD)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9620]) ).
tcf(c_11128,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11127,c_76]) ).
tcf(c_11132,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11126,c_76]) ).
tcf(c_11136,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11125,c_76]) ).
tcf(c_11140,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11124,c_76]) ).
tcf(c_11144,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11123,c_76]) ).
tcf(c_11148,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11122,c_76]) ).
tcf(c_11152,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11121,c_76]) ).
tcf(c_11156,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11119,c_142,c_76]) ).
tcf(c_11172,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_11128,c_95]) ).
tcf(c_11173,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_11128,c_96]) ).
tcf(c_11174,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11173,c_76,c_74]) ).
tcf(c_11179,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11172,c_76,c_74]) ).
tcf(c_11191,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_11132,c_95]) ).
tcf(c_11192,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_11132,c_96]) ).
tcf(c_11193,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11192,c_76,c_72]) ).
tcf(c_11198,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11191,c_76,c_72]) ).
tcf(c_11210,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_11136,c_95]) ).
tcf(c_11211,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_11136,c_96]) ).
tcf(c_11212,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11211,c_76,c_68]) ).
tcf(c_11217,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11210,c_76,c_68]) ).
tcf(c_11235,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_11140,c_95]) ).
tcf(c_11236,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_11140,c_96]) ).
tcf(c_11237,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11236,c_76,c_66]) ).
tcf(c_11242,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11235,c_76,c_66]) ).
tcf(c_11254,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_11144,c_95]) ).
tcf(c_11255,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_11144,c_96]) ).
tcf(c_11256,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11255,c_82,c_76]) ).
tcf(c_11261,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11254,c_82,c_76]) ).
tcf(c_11274,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_11148,c_95]) ).
tcf(c_11275,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_11148,c_96]) ).
tcf(c_11276,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11275,c_78,c_76]) ).
tcf(c_11281,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11274,c_78,c_76]) ).
tcf(c_11294,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_11152,c_95]) ).
tcf(c_11295,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_11152,c_96]) ).
tcf(c_11296,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11295,c_84,c_76]) ).
tcf(c_11301,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11294,c_84,c_76]) ).
tcf(c_11316,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_9242,c_130]) ).
tcf(c_11317,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_9242,c_130]) ).
tcf(c_11318,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_11317,c_142]) ).
tcf(c_11325,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_11316,c_142]) ).
tcf(c_11338,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_11156,c_95]) ).
tcf(c_11339,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11156,c_96]) ).
tcf(c_11340,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11339,c_142,c_76]) ).
tcf(c_11345,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xD)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11338,c_142,c_76]) ).
tcf(c_11355,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xA))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_7817]) ).
tcf(c_11356,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xB))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_7817]) ).
tcf(c_11357,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xC))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_7817]) ).
tcf(c_11358,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xD))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_7817]) ).
tcf(c_11359,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xE))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_7817]) ).
tcf(c_11360,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xF))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_7817]) ).
tcf(c_11361,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xG))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_7817]) ).
tcf(c_11362,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xH))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_7817]) ).
tcf(c_11363,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_7817]) ).
tcf(c_11364,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xP))) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_7817]) ).
tcf(c_11365,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_7817]) ).
tcf(c_11367,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_7817]) ).
tcf(c_11368,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_7817]) ).
tcf(c_11369,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(X0)))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_7817]) ).
tcf(c_11370,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_7817]) ).
tcf(c_11371,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_7817]) ).
tcf(c_11372,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_7817]) ).
tcf(c_11373,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_7817]) ).
tcf(c_11374,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_7817]) ).
tcf(c_11375,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_7817]) ).
tcf(c_11376,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_7817]) ).
tcf(c_11422,plain,
sdtpldt0(smndt0(xA),smndt0(smndt0(xA))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3223]) ).
tcf(c_11423,plain,
sdtpldt0(smndt0(xB),smndt0(smndt0(xB))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3223]) ).
tcf(c_11424,plain,
sdtpldt0(smndt0(xC),smndt0(smndt0(xC))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3223]) ).
tcf(c_11425,plain,
sdtpldt0(smndt0(xD),smndt0(smndt0(xD))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3223]) ).
tcf(c_11426,plain,
sdtpldt0(smndt0(xE),smndt0(smndt0(xE))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3223]) ).
tcf(c_11427,plain,
sdtpldt0(smndt0(xF),smndt0(smndt0(xF))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3223]) ).
tcf(c_11428,plain,
sdtpldt0(smndt0(xG),smndt0(smndt0(xG))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3223]) ).
tcf(c_11429,plain,
sdtpldt0(smndt0(xH),smndt0(smndt0(xH))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3223]) ).
tcf(c_11430,plain,
sdtpldt0(smndt0(xR),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3223]) ).
tcf(c_11431,plain,
sdtpldt0(smndt0(xP),smndt0(smndt0(xP))) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_3223]) ).
tcf(c_11432,plain,
sdtpldt0(smndt0(xS),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_3223]) ).
tcf(c_11434,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_98,c_3223]) ).
tcf(c_11435,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_114,c_3223]) ).
tcf(c_11436,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0)))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3223]) ).
tcf(c_11437,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_138,c_3223]) ).
tcf(c_11438,plain,
sdtpldt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_3223]) ).
tcf(c_11439,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_3223]) ).
tcf(c_11440,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3223]) ).
tcf(c_11441,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),smndt0(smndt0(sdtasasdt0(X0,X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3223]) ).
tcf(c_11442,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(smndt0(sdtlbdtrb0(xs,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_3223]) ).
tcf(c_11443,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,sz00)),smndt0(smndt0(sdtlbdtrb0(xt,sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_3223]) ).
tcf(c_11548,plain,
sdtpldt0(smndt0(smndt0(xA)),smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_3271]) ).
tcf(c_11549,plain,
sdtpldt0(smndt0(smndt0(xB)),smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_3271]) ).
tcf(c_11550,plain,
sdtpldt0(smndt0(smndt0(xC)),smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_3271]) ).
tcf(c_11551,plain,
sdtpldt0(smndt0(smndt0(xD)),smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_3271]) ).
tcf(c_11552,plain,
sdtpldt0(smndt0(smndt0(xE)),smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_3271]) ).
tcf(c_11553,plain,
sdtpldt0(smndt0(smndt0(xF)),smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_3271]) ).
tcf(c_11554,plain,
sdtpldt0(smndt0(smndt0(xG)),smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_3271]) ).
tcf(c_11555,plain,
sdtpldt0(smndt0(smndt0(xH)),smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_3271]) ).
tcf(c_11556,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_3271]) ).
tcf(c_11557,plain,
sdtpldt0(smndt0(smndt0(xP)),smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_3271]) ).
tcf(c_11558,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_3271]) ).
tcf(c_11560,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_98,c_3271]) ).
tcf(c_11561,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_114,c_3271]) ).
tcf(c_11562,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3271]) ).
tcf(c_11563,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_138,c_3271]) ).
tcf(c_11564,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_3271]) ).
tcf(c_11565,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_3271]) ).
tcf(c_11566,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3271]) ).
tcf(c_11567,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(sdtasasdt0(X0,X0))),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3271]) ).
tcf(c_11568,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_3271]) ).
tcf(c_11569,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))),smndt0(sdtlbdtrb0(xt,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_3271]) ).
tcf(c_11623,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9624]) ).
tcf(c_11625,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9624]) ).
tcf(c_11626,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9624]) ).
tcf(c_11627,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9624]) ).
tcf(c_11628,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9624]) ).
tcf(c_11629,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9624]) ).
tcf(c_11630,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9624]) ).
tcf(c_11631,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xC)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9624]) ).
tcf(c_11632,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11631,c_76]) ).
tcf(c_11636,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11630,c_76]) ).
tcf(c_11640,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11629,c_76]) ).
tcf(c_11644,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11628,c_76]) ).
tcf(c_11648,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11627,c_76]) ).
tcf(c_11652,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11626,c_76]) ).
tcf(c_11656,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11625,c_76]) ).
tcf(c_11660,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11623,c_142,c_76]) ).
tcf(c_11676,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_11632,c_95]) ).
tcf(c_11677,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_11632,c_96]) ).
tcf(c_11678,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11677,c_76,c_74]) ).
tcf(c_11683,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11676,c_76,c_74]) ).
tcf(c_11695,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_11636,c_95]) ).
tcf(c_11696,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_11636,c_96]) ).
tcf(c_11697,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11696,c_76,c_72]) ).
tcf(c_11702,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11695,c_76,c_72]) ).
tcf(c_11850,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_11640,c_95]) ).
tcf(c_11851,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_11640,c_96]) ).
tcf(c_11852,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11851,c_76,c_68]) ).
tcf(c_11857,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11850,c_76,c_68]) ).
tcf(c_11887,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_11644,c_95]) ).
tcf(c_11888,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_11644,c_96]) ).
tcf(c_11889,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11888,c_76,c_66]) ).
tcf(c_11894,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11887,c_76,c_66]) ).
tcf(c_11906,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_11648,c_95]) ).
tcf(c_11907,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_11648,c_96]) ).
tcf(c_11908,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11907,c_82,c_76]) ).
tcf(c_11913,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11906,c_82,c_76]) ).
tcf(c_11926,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_11652,c_95]) ).
tcf(c_11927,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_11652,c_96]) ).
tcf(c_11928,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11927,c_78,c_76]) ).
tcf(c_11933,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11926,c_78,c_76]) ).
tcf(c_11946,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_11656,c_95]) ).
tcf(c_11947,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_11656,c_96]) ).
tcf(c_11948,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11947,c_84,c_76]) ).
tcf(c_11953,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11946,c_84,c_76]) ).
tcf(c_11985,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_11660,c_95]) ).
tcf(c_11986,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11660,c_96]) ).
tcf(c_11987,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11986,c_142,c_76]) ).
tcf(c_11992,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xC)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11985,c_142,c_76]) ).
tcf(c_12004,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9628]) ).
tcf(c_12006,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9628]) ).
tcf(c_12007,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9628]) ).
tcf(c_12008,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9628]) ).
tcf(c_12009,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9628]) ).
tcf(c_12010,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9628]) ).
tcf(c_12011,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9628]) ).
tcf(c_12012,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xS)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9628]) ).
tcf(c_12013,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12012,c_76]) ).
tcf(c_12017,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12011,c_76]) ).
tcf(c_12021,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12010,c_76]) ).
tcf(c_12025,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12009,c_76]) ).
tcf(c_12029,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12008,c_76]) ).
tcf(c_12033,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12007,c_76]) ).
tcf(c_12037,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12006,c_76]) ).
tcf(c_12041,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12004,c_142,c_76]) ).
tcf(c_12051,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_12013,c_95]) ).
tcf(c_12052,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_12013,c_96]) ).
tcf(c_12053,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12052,c_76,c_74]) ).
tcf(c_12058,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12051,c_76,c_74]) ).
tcf(c_12070,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_12017,c_95]) ).
tcf(c_12071,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_12017,c_96]) ).
tcf(c_12072,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12071,c_76,c_72]) ).
tcf(c_12077,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12070,c_76,c_72]) ).
tcf(c_12089,plain,
( aNaturalNumber0(aDimensionOf0(xp))
| ( aDimensionOf0(xp) = sz00 )
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xp))) ),
inference(superposition,[status(thm)],[c_3517,c_104]) ).
tcf(c_12090,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(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_3517,c_108]) ).
tcf(c_12091,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_3517,c_112]) ).
tcf(c_12142,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_12041,c_95]) ).
tcf(c_12143,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12041,c_96]) ).
tcf(c_12144,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12143,c_142,c_76]) ).
tcf(c_12149,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12142,c_142,c_76]) ).
tcf(c_12159,plain,
sdtasdt0(sz0z00,smndt0(xA)) = sdtasdt0(sz0z00,xA),
inference(superposition,[status(thm)],[c_62,c_3554]) ).
tcf(c_12160,plain,
sdtasdt0(sz0z00,smndt0(xB)) = sdtasdt0(sz0z00,xB),
inference(superposition,[status(thm)],[c_64,c_3554]) ).
tcf(c_12161,plain,
sdtasdt0(sz0z00,smndt0(xC)) = sdtasdt0(sz0z00,xC),
inference(superposition,[status(thm)],[c_66,c_3554]) ).
tcf(c_12162,plain,
sdtasdt0(sz0z00,smndt0(xD)) = sdtasdt0(sz0z00,xD),
inference(superposition,[status(thm)],[c_68,c_3554]) ).
tcf(c_12163,plain,
sdtasdt0(sz0z00,smndt0(xE)) = sdtasdt0(sz0z00,xE),
inference(superposition,[status(thm)],[c_70,c_3554]) ).
tcf(c_12164,plain,
sdtasdt0(sz0z00,smndt0(xF)) = sdtasdt0(sz0z00,xF),
inference(superposition,[status(thm)],[c_72,c_3554]) ).
tcf(c_12165,plain,
sdtasdt0(sz0z00,smndt0(xG)) = sdtasdt0(sz0z00,xG),
inference(superposition,[status(thm)],[c_74,c_3554]) ).
tcf(c_12166,plain,
sdtasdt0(sz0z00,smndt0(xH)) = sdtasdt0(sz0z00,xH),
inference(superposition,[status(thm)],[c_76,c_3554]) ).
tcf(c_12167,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_78,c_3554]) ).
tcf(c_12168,plain,
sdtasdt0(sz0z00,smndt0(xP)) = sdtasdt0(sz0z00,xP),
inference(superposition,[status(thm)],[c_80,c_3554]) ).
tcf(c_12169,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_82,c_3554]) ).
tcf(c_12170,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_84,c_3554]) ).
tcf(c_12171,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_98,c_3554]) ).
tcf(c_12172,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_114,c_3554]) ).
tcf(c_12173,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(X0))) = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3554]) ).
tcf(c_12174,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_138,c_3554]) ).
tcf(c_12175,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3554]) ).
tcf(c_12176,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3554]) ).
tcf(c_12177,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3554]) ).
tcf(c_12178,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3554]) ).
tcf(c_12179,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3554]) ).
tcf(c_12180,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3554]) ).
tcf(c_12221,plain,
smndt0(sdtasdt0(sz0z00,xA)) = sdtasdt0(sz0z00,xA),
inference(superposition,[status(thm)],[c_62,c_3753]) ).
tcf(c_12222,plain,
smndt0(sdtasdt0(sz0z00,xB)) = sdtasdt0(sz0z00,xB),
inference(superposition,[status(thm)],[c_64,c_3753]) ).
tcf(c_12223,plain,
smndt0(sdtasdt0(sz0z00,xC)) = sdtasdt0(sz0z00,xC),
inference(superposition,[status(thm)],[c_66,c_3753]) ).
tcf(c_12224,plain,
smndt0(sdtasdt0(sz0z00,xD)) = sdtasdt0(sz0z00,xD),
inference(superposition,[status(thm)],[c_68,c_3753]) ).
tcf(c_12225,plain,
smndt0(sdtasdt0(sz0z00,xE)) = sdtasdt0(sz0z00,xE),
inference(superposition,[status(thm)],[c_70,c_3753]) ).
tcf(c_12226,plain,
smndt0(sdtasdt0(sz0z00,xF)) = sdtasdt0(sz0z00,xF),
inference(superposition,[status(thm)],[c_72,c_3753]) ).
tcf(c_12227,plain,
smndt0(sdtasdt0(sz0z00,xG)) = sdtasdt0(sz0z00,xG),
inference(superposition,[status(thm)],[c_74,c_3753]) ).
tcf(c_12228,plain,
smndt0(sdtasdt0(sz0z00,xH)) = sdtasdt0(sz0z00,xH),
inference(superposition,[status(thm)],[c_76,c_3753]) ).
tcf(c_12229,plain,
smndt0(sdtasdt0(sz0z00,xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_78,c_3753]) ).
tcf(c_12230,plain,
smndt0(sdtasdt0(sz0z00,xP)) = sdtasdt0(sz0z00,xP),
inference(superposition,[status(thm)],[c_80,c_3753]) ).
tcf(c_12231,plain,
smndt0(sdtasdt0(sz0z00,xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_82,c_3753]) ).
tcf(c_12232,plain,
smndt0(sdtasdt0(sz0z00,xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_84,c_3753]) ).
tcf(c_12233,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_98,c_3753]) ).
tcf(c_12234,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_114,c_3753]) ).
tcf(c_12235,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,smndt0(X0))) = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3753]) ).
tcf(c_12236,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_138,c_3753]) ).
tcf(c_12237,plain,
smndt0(sdtasdt0(sz0z00,sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3753]) ).
tcf(c_12238,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3753]) ).
tcf(c_12239,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3753]) ).
tcf(c_12240,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,sdtasasdt0(X0,X0))) = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3753]) ).
tcf(c_12241,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3753]) ).
tcf(c_12242,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3753]) ).
tcf(c_12283,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_127,c_5024]) ).
tcf(c_12284,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_12283,c_82]) ).
tcf(c_12287,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_12284,c_141]) ).
tcf(c_12288,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_12284,c_141]) ).
tcf(c_12289,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_12288,c_142]) ).
tcf(c_12297,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_12287,c_142]) ).
tcf(c_12312,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_12021,c_95]) ).
tcf(c_12313,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_12021,c_96]) ).
tcf(c_12314,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12313,c_76,c_68]) ).
tcf(c_12319,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12312,c_76,c_68]) ).
tcf(c_12331,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_12025,c_95]) ).
tcf(c_12332,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_12025,c_96]) ).
tcf(c_12333,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12332,c_76,c_66]) ).
tcf(c_12338,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12331,c_76,c_66]) ).
tcf(c_12351,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_12029,c_95]) ).
tcf(c_12352,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_12029,c_96]) ).
tcf(c_12353,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12352,c_82,c_76]) ).
tcf(c_12358,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12351,c_82,c_76]) ).
tcf(c_12402,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_12033,c_95]) ).
tcf(c_12403,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_12033,c_96]) ).
tcf(c_12404,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12403,c_78,c_76]) ).
tcf(c_12409,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12402,c_78,c_76]) ).
tcf(c_12422,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_12037,c_95]) ).
tcf(c_12423,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_12037,c_96]) ).
tcf(c_12424,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12423,c_84,c_76]) ).
tcf(c_12429,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xS)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12422,c_84,c_76]) ).
tcf(c_12444,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9632]) ).
tcf(c_12446,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9632]) ).
tcf(c_12447,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9632]) ).
tcf(c_12448,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9632]) ).
tcf(c_12449,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9632]) ).
tcf(c_12450,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9632]) ).
tcf(c_12451,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9632]) ).
tcf(c_12452,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xR)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9632]) ).
tcf(c_12453,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12452,c_76]) ).
tcf(c_12457,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12451,c_76]) ).
tcf(c_12461,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12450,c_76]) ).
tcf(c_12465,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12449,c_76]) ).
tcf(c_12469,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12448,c_76]) ).
tcf(c_12473,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12447,c_76]) ).
tcf(c_12477,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12446,c_76]) ).
tcf(c_12481,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12444,c_142,c_76]) ).
tcf(c_12498,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_12453,c_95]) ).
tcf(c_12499,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_12453,c_96]) ).
tcf(c_12500,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12499,c_76,c_74]) ).
tcf(c_12505,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12498,c_76,c_74]) ).
tcf(c_12525,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_12457,c_95]) ).
tcf(c_12526,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_12457,c_96]) ).
tcf(c_12527,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12526,c_76,c_72]) ).
tcf(c_12532,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12525,c_76,c_72]) ).
tcf(c_12544,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_12461,c_95]) ).
tcf(c_12545,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_12461,c_96]) ).
tcf(c_12546,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12545,c_76,c_68]) ).
tcf(c_12551,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12544,c_76,c_68]) ).
tcf(c_12563,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_12465,c_95]) ).
tcf(c_12564,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_12465,c_96]) ).
tcf(c_12565,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12564,c_76,c_66]) ).
tcf(c_12570,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12563,c_76,c_66]) ).
tcf(c_12666,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_12469,c_95]) ).
tcf(c_12667,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_12469,c_96]) ).
tcf(c_12668,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12667,c_82,c_76]) ).
tcf(c_12673,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12666,c_82,c_76]) ).
tcf(c_12686,plain,
( aNaturalNumber0(aDimensionOf0(xq))
| ( aDimensionOf0(xq) = sz00 )
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xq))) ),
inference(superposition,[status(thm)],[c_3518,c_104]) ).
tcf(c_12687,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(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_3518,c_108]) ).
tcf(c_12688,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_3518,c_112]) ).
tcf(c_12712,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_12481,c_95]) ).
tcf(c_12713,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12481,c_96]) ).
tcf(c_12714,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12713,c_142,c_76]) ).
tcf(c_12719,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12712,c_142,c_76]) ).
tcf(c_12729,plain,
( ( sdtasdt0(sdtasdt0(xS,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_127,c_5025]) ).
tcf(c_12730,plain,
sdtasdt0(sdtasdt0(xS,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_12729,c_82]) ).
tcf(c_12733,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_12730,c_141]) ).
tcf(c_12734,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_12730,c_141]) ).
tcf(c_12735,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_12734,c_142]) ).
tcf(c_12743,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_12733,c_142,c_3420]) ).
tcf(c_12754,plain,
sdtasdt0(smndt0(smndt0(smndt0(xA))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_10979]) ).
tcf(c_12755,plain,
sdtasdt0(smndt0(smndt0(smndt0(xB))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_10979]) ).
tcf(c_12756,plain,
sdtasdt0(smndt0(smndt0(smndt0(xC))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_10979]) ).
tcf(c_12757,plain,
sdtasdt0(smndt0(smndt0(smndt0(xD))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_10979]) ).
tcf(c_12758,plain,
sdtasdt0(smndt0(smndt0(smndt0(xE))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_10979]) ).
tcf(c_12759,plain,
sdtasdt0(smndt0(smndt0(smndt0(xF))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_10979]) ).
tcf(c_12760,plain,
sdtasdt0(smndt0(smndt0(smndt0(xG))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_10979]) ).
tcf(c_12761,plain,
sdtasdt0(smndt0(smndt0(smndt0(xH))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_10979]) ).
tcf(c_12762,plain,
sdtasdt0(smndt0(smndt0(smndt0(xR))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_10979]) ).
tcf(c_12763,plain,
sdtasdt0(smndt0(smndt0(smndt0(xP))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_10979]) ).
tcf(c_12764,plain,
sdtasdt0(smndt0(smndt0(smndt0(xS))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_10979]) ).
tcf(c_12766,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_10979]) ).
tcf(c_12767,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_10979]) ).
tcf(c_12768,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(X0)))),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_10979]) ).
tcf(c_12769,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_10979]) ).
tcf(c_12770,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_10979]) ).
tcf(c_12771,plain,
sdtasdt0(smndt0(smndt0(smndt0(smndt0(xN)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_10979]) ).
tcf(c_12772,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_10979]) ).
tcf(c_12773,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_10979]) ).
tcf(c_12774,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_10979]) ).
tcf(c_12775,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_10979]) ).
tcf(c_12841,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_12473,c_95]) ).
tcf(c_12842,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_12473,c_96]) ).
tcf(c_12843,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12842,c_78,c_76]) ).
tcf(c_12848,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12841,c_78,c_76]) ).
tcf(c_12861,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_12477,c_95]) ).
tcf(c_12862,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_12477,c_96]) ).
tcf(c_12863,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12862,c_84,c_76]) ).
tcf(c_12868,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xR)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12861,c_84,c_76]) ).
tcf(c_12902,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_94,c_9636]) ).
tcf(c_12904,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8609,c_9636]) ).
tcf(c_12905,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8552,c_9636]) ).
tcf(c_12906,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8489,c_9636]) ).
tcf(c_12907,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8429,c_9636]) ).
tcf(c_12908,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8370,c_9636]) ).
tcf(c_12909,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8292,c_9636]) ).
tcf(c_12910,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xN)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_8245,c_9636]) ).
tcf(c_12911,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xG)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12910,c_76]) ).
tcf(c_12915,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xF)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12909,c_76]) ).
tcf(c_12919,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xD)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12908,c_76]) ).
tcf(c_12923,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xC)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12907,c_76]) ).
tcf(c_12927,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xS)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12906,c_76]) ).
tcf(c_12931,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xR)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12905,c_76]) ).
tcf(c_12935,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,xN)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12904,c_76]) ).
tcf(c_12939,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12902,c_142,c_76]) ).
tcf(c_12968,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_12911,c_95]) ).
tcf(c_12969,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xG = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xG)
| ~ sdtlseqdt0(xG,xH) ),
inference(superposition,[status(thm)],[c_12911,c_96]) ).
tcf(c_12970,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xG = xH )
| ~ sdtlseqdt0(xG,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12969,c_76,c_74]) ).
tcf(c_12975,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12968,c_76,c_74]) ).
tcf(c_12987,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_12915,c_95]) ).
tcf(c_12988,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xF = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(xF,xH) ),
inference(superposition,[status(thm)],[c_12915,c_96]) ).
tcf(c_12989,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xF = xH )
| ~ sdtlseqdt0(xF,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12988,c_76,c_72]) ).
tcf(c_12994,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12987,c_76,c_72]) ).
tcf(c_13006,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_12919,c_95]) ).
tcf(c_13007,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xD = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(xD,xH) ),
inference(superposition,[status(thm)],[c_12919,c_96]) ).
tcf(c_13008,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xD = xH )
| ~ sdtlseqdt0(xD,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13007,c_76,c_68]) ).
tcf(c_13013,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13006,c_76,c_68]) ).
tcf(c_13077,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_12923,c_95]) ).
tcf(c_13078,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xC = xH )
| ~ aScalar0(xH)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(xC,xH) ),
inference(superposition,[status(thm)],[c_12923,c_96]) ).
tcf(c_13079,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xC = xH )
| ~ sdtlseqdt0(xC,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13078,c_76,c_66]) ).
tcf(c_13084,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13077,c_76,c_66]) ).
tcf(c_13096,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_12927,c_95]) ).
tcf(c_13097,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xS,xH) ),
inference(superposition,[status(thm)],[c_12927,c_96]) ).
tcf(c_13098,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xS )
| ~ sdtlseqdt0(xS,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13097,c_82,c_76]) ).
tcf(c_13103,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13096,c_82,c_76]) ).
tcf(c_13116,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_12931,c_95]) ).
tcf(c_13117,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xR,xH) ),
inference(superposition,[status(thm)],[c_12931,c_96]) ).
tcf(c_13118,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xR )
| ~ sdtlseqdt0(xR,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13117,c_78,c_76]) ).
tcf(c_13123,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13116,c_78,c_76]) ).
tcf(c_13136,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_12935,c_95]) ).
tcf(c_13137,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(xN,xH) ),
inference(superposition,[status(thm)],[c_12935,c_96]) ).
tcf(c_13138,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = xN )
| ~ sdtlseqdt0(xN,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13137,c_84,c_76]) ).
tcf(c_13143,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13136,c_84,c_76]) ).
tcf(c_13156,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_12939,c_95]) ).
tcf(c_13157,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12939,c_96]) ).
tcf(c_13158,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| ( xH = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13157,c_142,c_76]) ).
tcf(c_13163,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xE,xN)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13156,c_142,c_76]) ).
tcf(c_13206,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10063]) ).
tcf(c_13208,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10063]) ).
tcf(c_13209,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10063]) ).
tcf(c_13210,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10063]) ).
tcf(c_13211,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10063]) ).
tcf(c_13212,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10063]) ).
tcf(c_13213,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10063]) ).
tcf(c_13214,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10063]) ).
tcf(c_13215,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13214,c_64]) ).
tcf(c_13219,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13213,c_64]) ).
tcf(c_13223,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13212,c_64]) ).
tcf(c_13227,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13211,c_64]) ).
tcf(c_13231,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13210,c_64]) ).
tcf(c_13235,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13209,c_64]) ).
tcf(c_13239,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13208,c_64]) ).
tcf(c_13243,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13206,c_142,c_64]) ).
tcf(c_13279,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xs,X0))) = sdtlbdtrb0(xs,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3177]) ).
tcf(c_13280,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xt,X0))) = sdtlbdtrb0(xt,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_3177]) ).
tcf(c_13281,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xp,X0))) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54,c_3177]) ).
tcf(c_13282,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(xq,X0))) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_3177]) ).
tcf(c_13283,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_109,c_3177]) ).
tcf(c_13307,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_13243,c_95]) ).
tcf(c_13308,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13243,c_96]) ).
tcf(c_13309,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13308,c_142,c_64]) ).
tcf(c_13314,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13307,c_142,c_64]) ).
tcf(c_13324,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xA)))) = sz0z00,
inference(superposition,[status(thm)],[c_62,c_11369]) ).
tcf(c_13325,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xB)))) = sz0z00,
inference(superposition,[status(thm)],[c_64,c_11369]) ).
tcf(c_13326,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xC)))) = sz0z00,
inference(superposition,[status(thm)],[c_66,c_11369]) ).
tcf(c_13327,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xD)))) = sz0z00,
inference(superposition,[status(thm)],[c_68,c_11369]) ).
tcf(c_13328,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xE)))) = sz0z00,
inference(superposition,[status(thm)],[c_70,c_11369]) ).
tcf(c_13329,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xF)))) = sz0z00,
inference(superposition,[status(thm)],[c_72,c_11369]) ).
tcf(c_13330,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xG)))) = sz0z00,
inference(superposition,[status(thm)],[c_74,c_11369]) ).
tcf(c_13331,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xH)))) = sz0z00,
inference(superposition,[status(thm)],[c_76,c_11369]) ).
tcf(c_13332,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_78,c_11369]) ).
tcf(c_13333,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xP)))) = sz0z00,
inference(superposition,[status(thm)],[c_80,c_11369]) ).
tcf(c_13334,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_82,c_11369]) ).
tcf(c_13336,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_98,c_11369]) ).
tcf(c_13337,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))))) = sz0z00 )
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_114,c_11369]) ).
tcf(c_13338,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(X0))))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_11369]) ).
tcf(c_13339,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_138,c_11369]) ).
tcf(c_13340,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_142,c_11369]) ).
tcf(c_13341,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3847,c_11369]) ).
tcf(c_13342,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_11369]) ).
tcf(c_13343,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasasdt0(X0,X0))))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_11369]) ).
tcf(c_13344,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5083,c_11369]) ).
tcf(c_13345,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5143,c_11369]) ).
tcf(c_13433,plain,
sdtlbdtrb0(xs,aDimensionOf0(xt)) = sdtlbdtrb0(xp,aDimensionOf0(xt)),
inference(superposition,[status(thm)],[c_50,c_3385]) ).
tcf(c_13434,plain,
sdtlbdtrb0(xs,aDimensionOf0(xp)) = sdtlbdtrb0(xp,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_54,c_3385]) ).
tcf(c_13435,plain,
sdtlbdtrb0(xs,aDimensionOf0(xq)) = sdtlbdtrb0(xp,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_58,c_3385]) ).
tcf(c_13436,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0))) = sdtlbdtrb0(xp,aDimensionOf0(sziznziztdt0(X0))) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_3385]) ).
tcf(c_13545,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aVector0(xp)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[status(thm)],[c_13434,c_114]) ).
tcf(c_13546,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13545,c_54]) ).
tcf(c_13555,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_13215,c_95]) ).
tcf(c_13556,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_13215,c_96]) ).
tcf(c_13557,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13556,c_74,c_64]) ).
tcf(c_13562,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13555,c_74,c_64]) ).
tcf(c_13574,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_13219,c_95]) ).
tcf(c_13575,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_13219,c_96]) ).
tcf(c_13576,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13575,c_72,c_64]) ).
tcf(c_13581,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13574,c_72,c_64]) ).
tcf(c_13612,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_13223,c_95]) ).
tcf(c_13613,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_13223,c_96]) ).
tcf(c_13614,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13613,c_68,c_64]) ).
tcf(c_13619,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13612,c_68,c_64]) ).
tcf(c_13631,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_13227,c_95]) ).
tcf(c_13632,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_13227,c_96]) ).
tcf(c_13633,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13632,c_66,c_64]) ).
tcf(c_13638,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13631,c_66,c_64]) ).
tcf(c_13650,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_13231,c_95]) ).
tcf(c_13651,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_13231,c_96]) ).
tcf(c_13652,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13651,c_82,c_64]) ).
tcf(c_13657,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13650,c_82,c_64]) ).
tcf(c_13670,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_13235,c_95]) ).
tcf(c_13671,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_13235,c_96]) ).
tcf(c_13672,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13671,c_78,c_64]) ).
tcf(c_13677,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13670,c_78,c_64]) ).
tcf(c_13690,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_13239,c_95]) ).
tcf(c_13691,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_13239,c_96]) ).
tcf(c_13692,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13691,c_84,c_64]) ).
tcf(c_13697,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xG)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13690,c_84,c_64]) ).
tcf(c_13704,plain,
aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(global_subsumption_just,[status(thm)],[c_13546,c_54,c_49,c_3728,c_7336]) ).
tcf(c_13706,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_11369]) ).
tcf(c_13707,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_10979]) ).
tcf(c_13708,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3753]) ).
tcf(c_13709,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3554]) ).
tcf(c_13710,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_3271]) ).
tcf(c_13711,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_3223]) ).
tcf(c_13712,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_7817]) ).
tcf(c_13713,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_7455]) ).
tcf(c_13714,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3108]) ).
tcf(c_13715,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3045]) ).
tcf(c_13716,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sz0z00) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3024]) ).
tcf(c_13717,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_3087]) ).
tcf(c_13718,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_3066]) ).
tcf(c_13719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_131]) ).
tcf(c_13720,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_133]) ).
tcf(c_13721,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1)) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_132]) ).
tcf(c_13722,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_136]) ).
tcf(c_13723,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_134]) ).
tcf(c_13724,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_118]) ).
tcf(c_13725,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_117]) ).
tcf(c_13726,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13704,c_116]) ).
tcf(c_13727,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sdtlbdtrb0(xs,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_124]) ).
tcf(c_13728,plain,
sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_123]) ).
tcf(c_13729,plain,
smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtlbdtrb0(xs,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_13704,c_125]) ).
tcf(c_13730,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_122]) ).
tcf(c_13731,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_13704,c_121]) ).
tcf(c_13732,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp))) = sdtlbdtrb0(xs,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_13704,c_120]) ).
tcf(c_13733,plain,
sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sz0z00) = sdtlbdtrb0(xs,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_13704,c_119]) ).
tcf(c_13893,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_13730,c_141]) ).
tcf(c_13894,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_13730,c_141]) ).
tcf(c_13895,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13894,c_142,c_13704]) ).
tcf(c_13902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13893,c_142,c_13704]) ).
tcf(c_13911,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_13731,c_141]) ).
tcf(c_13912,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_13731,c_141]) ).
tcf(c_13913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13912,c_142,c_13704]) ).
tcf(c_13920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13911,c_142,c_3420,c_13704]) ).
tcf(c_13932,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10067]) ).
tcf(c_13934,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10067]) ).
tcf(c_13935,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10067]) ).
tcf(c_13936,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10067]) ).
tcf(c_13937,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10067]) ).
tcf(c_13938,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10067]) ).
tcf(c_13939,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10067]) ).
tcf(c_13940,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xF)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10067]) ).
tcf(c_13941,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13940,c_64]) ).
tcf(c_13945,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13939,c_64]) ).
tcf(c_13949,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13938,c_64]) ).
tcf(c_13953,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13937,c_64]) ).
tcf(c_13957,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13936,c_64]) ).
tcf(c_13961,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13935,c_64]) ).
tcf(c_13965,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13934,c_64]) ).
tcf(c_13969,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13932,c_142,c_64]) ).
tcf(c_13979,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_13941,c_95]) ).
tcf(c_13980,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_13941,c_96]) ).
tcf(c_13981,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13980,c_74,c_64]) ).
tcf(c_13986,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13979,c_74,c_64]) ).
tcf(c_13999,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_13969,c_95]) ).
tcf(c_14000,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13969,c_96]) ).
tcf(c_14001,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14000,c_142,c_64]) ).
tcf(c_14006,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13999,c_142,c_64]) ).
tcf(c_14012,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aVector0(xp)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(superposition,[status(thm)],[c_13435,c_114]) ).
tcf(c_14013,plain,
( aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14012,c_54]) ).
tcf(c_14016,plain,
aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(global_subsumption_just,[status(thm)],[c_14013,c_58,c_49,c_3729,c_7335]) ).
tcf(c_14018,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_11369]) ).
tcf(c_14019,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_10979]) ).
tcf(c_14020,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3753]) ).
tcf(c_14021,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3554]) ).
tcf(c_14022,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_3271]) ).
tcf(c_14023,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_3223]) ).
tcf(c_14024,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_7817]) ).
tcf(c_14025,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_7455]) ).
tcf(c_14026,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3108]) ).
tcf(c_14027,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3045]) ).
tcf(c_14028,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sz0z00) = smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3024]) ).
tcf(c_14029,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_3087]) ).
tcf(c_14030,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_3066]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X1),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_131]) ).
tcf(c_14032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_133]) ).
tcf(c_14033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X1)) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_132]) ).
tcf(c_14034,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_136]) ).
tcf(c_14035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_134]) ).
tcf(c_14036,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_118]) ).
tcf(c_14037,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_117]) ).
tcf(c_14038,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_14016,c_116]) ).
tcf(c_14039,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sdtlbdtrb0(xs,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_124]) ).
tcf(c_14040,plain,
sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_123]) ).
tcf(c_14041,plain,
smndt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtlbdtrb0(xs,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_14016,c_125]) ).
tcf(c_14042,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_122]) ).
tcf(c_14043,plain,
sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_14016,c_121]) ).
tcf(c_14044,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq))) = sdtlbdtrb0(xs,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_14016,c_120]) ).
tcf(c_14045,plain,
sdtpldt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sz0z00) = sdtlbdtrb0(xs,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_14016,c_119]) ).
tcf(c_14235,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_14042,c_141]) ).
tcf(c_14236,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_14042,c_141]) ).
tcf(c_14237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14236,c_142,c_14016]) ).
tcf(c_14244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14235,c_142,c_14016]) ).
tcf(c_14257,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_13945,c_95]) ).
tcf(c_14258,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_13945,c_96]) ).
tcf(c_14259,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14258,c_72,c_64]) ).
tcf(c_14264,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14257,c_72,c_64]) ).
tcf(c_14276,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_13949,c_95]) ).
tcf(c_14277,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_13949,c_96]) ).
tcf(c_14278,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14277,c_68,c_64]) ).
tcf(c_14283,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14276,c_68,c_64]) ).
tcf(c_14295,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_13953,c_95]) ).
tcf(c_14296,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_13953,c_96]) ).
tcf(c_14297,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14296,c_66,c_64]) ).
tcf(c_14302,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14295,c_66,c_64]) ).
tcf(c_14314,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_13957,c_95]) ).
tcf(c_14315,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_13957,c_96]) ).
tcf(c_14316,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14315,c_82,c_64]) ).
tcf(c_14321,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14314,c_82,c_64]) ).
tcf(c_14334,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_13961,c_95]) ).
tcf(c_14335,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_13961,c_96]) ).
tcf(c_14336,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14335,c_78,c_64]) ).
tcf(c_14341,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14334,c_78,c_64]) ).
tcf(c_14354,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_13965,c_95]) ).
tcf(c_14355,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_13965,c_96]) ).
tcf(c_14356,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14355,c_84,c_64]) ).
tcf(c_14361,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xF)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14354,c_84,c_64]) ).
tcf(c_14370,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_14043,c_141]) ).
tcf(c_14371,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_14043,c_141]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14371,c_142,c_14016]) ).
tcf(c_14379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14370,c_142,c_3420,c_14016]) ).
tcf(c_14391,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10071]) ).
tcf(c_14393,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10071]) ).
tcf(c_14394,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10071]) ).
tcf(c_14395,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10071]) ).
tcf(c_14396,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10071]) ).
tcf(c_14397,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10071]) ).
tcf(c_14398,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10071]) ).
tcf(c_14399,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xD)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10071]) ).
tcf(c_14400,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14399,c_64]) ).
tcf(c_14404,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14398,c_64]) ).
tcf(c_14408,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14397,c_64]) ).
tcf(c_14412,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14396,c_64]) ).
tcf(c_14416,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14395,c_64]) ).
tcf(c_14420,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14394,c_64]) ).
tcf(c_14424,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14393,c_64]) ).
tcf(c_14428,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14391,c_142,c_64]) ).
tcf(c_14452,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_14400,c_95]) ).
tcf(c_14453,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_14400,c_96]) ).
tcf(c_14454,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14453,c_74,c_64]) ).
tcf(c_14459,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14452,c_74,c_64]) ).
tcf(c_14471,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_14404,c_95]) ).
tcf(c_14472,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_14404,c_96]) ).
tcf(c_14473,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14472,c_72,c_64]) ).
tcf(c_14478,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14471,c_72,c_64]) ).
tcf(c_14490,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_14408,c_95]) ).
tcf(c_14491,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_14408,c_96]) ).
tcf(c_14492,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14491,c_68,c_64]) ).
tcf(c_14497,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14490,c_68,c_64]) ).
tcf(c_14509,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_14412,c_95]) ).
tcf(c_14510,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_14412,c_96]) ).
tcf(c_14511,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14510,c_66,c_64]) ).
tcf(c_14516,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14509,c_66,c_64]) ).
tcf(c_14529,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_14428,c_95]) ).
tcf(c_14530,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_14428,c_96]) ).
tcf(c_14531,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14530,c_142,c_64]) ).
tcf(c_14536,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14529,c_142,c_64]) ).
tcf(c_14551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_13732,c_130]) ).
tcf(c_14552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_13732,c_130]) ).
tcf(c_14553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14552,c_142,c_13704]) ).
tcf(c_14559,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14551,c_142,c_13704]) ).
tcf(c_14569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_13733,c_130]) ).
tcf(c_14570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_13733,c_130]) ).
tcf(c_14571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14570,c_142,c_13704]) ).
tcf(c_14577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14569,c_142,c_13704]) ).
tcf(c_14589,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_14416,c_95]) ).
tcf(c_14590,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_14416,c_96]) ).
tcf(c_14591,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14590,c_82,c_64]) ).
tcf(c_14596,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14589,c_82,c_64]) ).
tcf(c_14609,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_14420,c_95]) ).
tcf(c_14610,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_14420,c_96]) ).
tcf(c_14611,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14610,c_78,c_64]) ).
tcf(c_14616,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14609,c_78,c_64]) ).
tcf(c_14629,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_14424,c_95]) ).
tcf(c_14630,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_14424,c_96]) ).
tcf(c_14631,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14630,c_84,c_64]) ).
tcf(c_14636,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xD)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14629,c_84,c_64]) ).
tcf(c_14649,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10075]) ).
tcf(c_14651,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10075]) ).
tcf(c_14652,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10075]) ).
tcf(c_14653,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10075]) ).
tcf(c_14654,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10075]) ).
tcf(c_14655,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10075]) ).
tcf(c_14656,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10075]) ).
tcf(c_14657,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xC)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10075]) ).
tcf(c_14658,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14657,c_64]) ).
tcf(c_14662,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14656,c_64]) ).
tcf(c_14666,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14655,c_64]) ).
tcf(c_14670,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14654,c_64]) ).
tcf(c_14674,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14653,c_64]) ).
tcf(c_14678,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14652,c_64]) ).
tcf(c_14682,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14651,c_64]) ).
tcf(c_14686,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14649,c_142,c_64]) ).
tcf(c_14702,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_14658,c_95]) ).
tcf(c_14703,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_14658,c_96]) ).
tcf(c_14704,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14703,c_74,c_64]) ).
tcf(c_14709,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14702,c_74,c_64]) ).
tcf(c_14730,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_14662,c_95]) ).
tcf(c_14731,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_14662,c_96]) ).
tcf(c_14732,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14731,c_72,c_64]) ).
tcf(c_14737,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14730,c_72,c_64]) ).
tcf(c_14749,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_14666,c_95]) ).
tcf(c_14750,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_14666,c_96]) ).
tcf(c_14751,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14750,c_68,c_64]) ).
tcf(c_14756,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14749,c_68,c_64]) ).
tcf(c_14777,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_14670,c_95]) ).
tcf(c_14778,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_14670,c_96]) ).
tcf(c_14779,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14778,c_66,c_64]) ).
tcf(c_14784,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14777,c_66,c_64]) ).
tcf(c_14796,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_14674,c_95]) ).
tcf(c_14797,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_14674,c_96]) ).
tcf(c_14798,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14797,c_82,c_64]) ).
tcf(c_14803,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14796,c_82,c_64]) ).
tcf(c_14816,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_14678,c_95]) ).
tcf(c_14817,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_14678,c_96]) ).
tcf(c_14818,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14817,c_78,c_64]) ).
tcf(c_14823,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14816,c_78,c_64]) ).
tcf(c_14845,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_14682,c_95]) ).
tcf(c_14846,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_14682,c_96]) ).
tcf(c_14847,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14846,c_84,c_64]) ).
tcf(c_14852,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14845,c_84,c_64]) ).
tcf(c_14874,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_14686,c_95]) ).
tcf(c_14875,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_14686,c_96]) ).
tcf(c_14876,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14875,c_142,c_64]) ).
tcf(c_14881,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xC)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14874,c_142,c_64]) ).
tcf(c_14891,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_14044,c_130]) ).
tcf(c_14892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_14044,c_130]) ).
tcf(c_14893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14892,c_142,c_14016]) ).
tcf(c_14899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14891,c_142,c_14016]) ).
tcf(c_14909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_14045,c_130]) ).
tcf(c_14910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_14045,c_130]) ).
tcf(c_14911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14910,c_142,c_14016]) ).
tcf(c_14917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14909,c_142,c_14016]) ).
tcf(c_14936,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(X0))) = sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(X0))) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_3387]) ).
tcf(c_14937,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xs,szszuzczcdt0(sK0(X0))) = sdtlbdtrb0(xp,szszuzczcdt0(sK0(X0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3387]) ).
tcf(c_14938,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(X0))) = sdtlbdtrb0(xp,szszuzczcdt0(szszuzczcdt0(X0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_3387]) ).
tcf(c_14939,plain,
sdtlbdtrb0(xs,szszuzczcdt0(sz00)) = sdtlbdtrb0(xp,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_106,c_3387]) ).
tcf(c_14940,plain,
sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))) = sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_2970,c_3387]) ).
tcf(c_14966,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10079]) ).
tcf(c_14968,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10079]) ).
tcf(c_14969,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10079]) ).
tcf(c_14970,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10079]) ).
tcf(c_14971,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10079]) ).
tcf(c_14972,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10079]) ).
tcf(c_14973,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10079]) ).
tcf(c_14974,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xS)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10079]) ).
tcf(c_14975,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14974,c_64]) ).
tcf(c_14979,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14973,c_64]) ).
tcf(c_14983,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14972,c_64]) ).
tcf(c_14987,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14971,c_64]) ).
tcf(c_14991,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14970,c_64]) ).
tcf(c_14995,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14969,c_64]) ).
tcf(c_14999,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14968,c_64]) ).
tcf(c_15003,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14966,c_142,c_64]) ).
tcf(c_15043,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_14975,c_95]) ).
tcf(c_15044,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_14975,c_96]) ).
tcf(c_15045,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15044,c_74,c_64]) ).
tcf(c_15050,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15043,c_74,c_64]) ).
tcf(c_15062,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_14979,c_95]) ).
tcf(c_15063,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_14979,c_96]) ).
tcf(c_15064,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15063,c_72,c_64]) ).
tcf(c_15069,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15062,c_72,c_64]) ).
tcf(c_15083,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_14983,c_95]) ).
tcf(c_15084,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_14983,c_96]) ).
tcf(c_15085,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15084,c_68,c_64]) ).
tcf(c_15090,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15083,c_68,c_64]) ).
tcf(c_15128,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_14987,c_95]) ).
tcf(c_15129,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_14987,c_96]) ).
tcf(c_15130,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15129,c_66,c_64]) ).
tcf(c_15135,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15128,c_66,c_64]) ).
tcf(c_15148,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_14991,c_95]) ).
tcf(c_15149,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_14991,c_96]) ).
tcf(c_15150,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15149,c_82,c_64]) ).
tcf(c_15155,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15148,c_82,c_64]) ).
tcf(c_15257,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_14995,c_95]) ).
tcf(c_15258,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_14995,c_96]) ).
tcf(c_15259,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15258,c_78,c_64]) ).
tcf(c_15264,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15257,c_78,c_64]) ).
tcf(c_15277,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_14999,c_95]) ).
tcf(c_15278,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_14999,c_96]) ).
tcf(c_15279,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15278,c_84,c_64]) ).
tcf(c_15284,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15277,c_84,c_64]) ).
tcf(c_15297,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_15003,c_95]) ).
tcf(c_15298,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_15003,c_96]) ).
tcf(c_15299,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15298,c_142,c_64]) ).
tcf(c_15304,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xS)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15297,c_142,c_64]) ).
tcf(c_15316,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10083]) ).
tcf(c_15318,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10083]) ).
tcf(c_15319,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10083]) ).
tcf(c_15320,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10083]) ).
tcf(c_15321,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10083]) ).
tcf(c_15322,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10083]) ).
tcf(c_15323,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10083]) ).
tcf(c_15324,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xR)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10083]) ).
tcf(c_15325,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15324,c_64]) ).
tcf(c_15329,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15323,c_64]) ).
tcf(c_15333,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15322,c_64]) ).
tcf(c_15337,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15321,c_64]) ).
tcf(c_15341,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15320,c_64]) ).
tcf(c_15345,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15319,c_64]) ).
tcf(c_15349,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15318,c_64]) ).
tcf(c_15353,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15316,c_142,c_64]) ).
tcf(c_15369,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_15325,c_95]) ).
tcf(c_15370,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_15325,c_96]) ).
tcf(c_15371,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15370,c_74,c_64]) ).
tcf(c_15376,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15369,c_74,c_64]) ).
tcf(c_15388,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_15329,c_95]) ).
tcf(c_15389,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_15329,c_96]) ).
tcf(c_15390,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15389,c_72,c_64]) ).
tcf(c_15395,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15388,c_72,c_64]) ).
tcf(c_15408,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_15353,c_95]) ).
tcf(c_15409,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_15353,c_96]) ).
tcf(c_15410,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15409,c_142,c_64]) ).
tcf(c_15415,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15408,c_142,c_64]) ).
tcf(c_15427,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aVector0(xp)
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(superposition,[status(thm)],[c_14939,c_114]) ).
tcf(c_15428,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15427,c_54]) ).
tcf(c_15431,plain,
aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(global_subsumption_just,[status(thm)],[c_15428,c_106,c_49,c_3812,c_7338]) ).
tcf(c_15433,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_11369]) ).
tcf(c_15434,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_10979]) ).
tcf(c_15435,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3753]) ).
tcf(c_15436,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3554]) ).
tcf(c_15437,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_3271]) ).
tcf(c_15438,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_3223]) ).
tcf(c_15439,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_7817]) ).
tcf(c_15440,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_7455]) ).
tcf(c_15441,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3108]) ).
tcf(c_15442,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3045]) ).
tcf(c_15443,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),sz0z00) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3024]) ).
tcf(c_15444,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_3087]) ).
tcf(c_15445,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_3066]) ).
tcf(c_15446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X1),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_131]) ).
tcf(c_15447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_133]) ).
tcf(c_15448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X1)) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_132]) ).
tcf(c_15449,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_136]) ).
tcf(c_15450,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_134]) ).
tcf(c_15451,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_118]) ).
tcf(c_15452,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_117]) ).
tcf(c_15453,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_15431,c_116]) ).
tcf(c_15454,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),sdtlbdtrb0(xs,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_124]) ).
tcf(c_15455,plain,
sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_123]) ).
tcf(c_15456,plain,
smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtlbdtrb0(xs,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_15431,c_125]) ).
tcf(c_15457,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_122]) ).
tcf(c_15458,plain,
sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_15431,c_121]) ).
tcf(c_15459,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) = sdtlbdtrb0(xs,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_15431,c_120]) ).
tcf(c_15460,plain,
sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sz0z00) = sdtlbdtrb0(xs,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_15431,c_119]) ).
tcf(c_15494,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_15597,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_15457,c_141]) ).
tcf(c_15598,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_15457,c_141]) ).
tcf(c_15599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15598,c_142,c_15431]) ).
tcf(c_15606,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15597,c_142,c_15431]) ).
tcf(c_15619,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_15333,c_95]) ).
tcf(c_15620,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_15333,c_96]) ).
tcf(c_15621,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15620,c_68,c_64]) ).
tcf(c_15626,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15619,c_68,c_64]) ).
tcf(c_15638,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_15337,c_95]) ).
tcf(c_15639,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_15337,c_96]) ).
tcf(c_15640,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15639,c_66,c_64]) ).
tcf(c_15645,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15638,c_66,c_64]) ).
tcf(c_15657,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_15341,c_95]) ).
tcf(c_15658,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_15341,c_96]) ).
tcf(c_15659,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15658,c_82,c_64]) ).
tcf(c_15664,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15657,c_82,c_64]) ).
tcf(c_15677,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_15345,c_95]) ).
tcf(c_15678,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_15345,c_96]) ).
tcf(c_15679,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15678,c_78,c_64]) ).
tcf(c_15684,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15677,c_78,c_64]) ).
tcf(c_15697,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_15349,c_95]) ).
tcf(c_15698,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_15349,c_96]) ).
tcf(c_15699,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15698,c_84,c_64]) ).
tcf(c_15704,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xR)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15697,c_84,c_64]) ).
tcf(c_15713,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_15458,c_141]) ).
tcf(c_15714,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_15458,c_141]) ).
tcf(c_15715,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15714,c_142,c_15431]) ).
tcf(c_15722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15713,c_142,c_3420,c_15431]) ).
tcf(c_15734,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_94,c_10087]) ).
tcf(c_15736,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8609,c_10087]) ).
tcf(c_15737,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8552,c_10087]) ).
tcf(c_15738,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8489,c_10087]) ).
tcf(c_15739,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8429,c_10087]) ).
tcf(c_15740,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8370,c_10087]) ).
tcf(c_15741,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8292,c_10087]) ).
tcf(c_15742,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xN)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_8245,c_10087]) ).
tcf(c_15743,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xG)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15742,c_64]) ).
tcf(c_15747,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xF)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15741,c_64]) ).
tcf(c_15751,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xD)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15740,c_64]) ).
tcf(c_15755,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xC)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15739,c_64]) ).
tcf(c_15759,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xS)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15738,c_64]) ).
tcf(c_15763,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xR)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15737,c_64]) ).
tcf(c_15767,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,xN)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15736,c_64]) ).
tcf(c_15771,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15734,c_142,c_64]) ).
tcf(c_15801,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_15743,c_95]) ).
tcf(c_15802,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xG )
| ~ aScalar0(xG)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xG,xB) ),
inference(superposition,[status(thm)],[c_15743,c_96]) ).
tcf(c_15803,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xG )
| ~ sdtlseqdt0(xG,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15802,c_74,c_64]) ).
tcf(c_15808,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15801,c_74,c_64]) ).
tcf(c_15820,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_15747,c_95]) ).
tcf(c_15821,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xF )
| ~ aScalar0(xF)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xF,xB) ),
inference(superposition,[status(thm)],[c_15747,c_96]) ).
tcf(c_15822,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xF )
| ~ sdtlseqdt0(xF,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15821,c_72,c_64]) ).
tcf(c_15827,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15820,c_72,c_64]) ).
tcf(c_15926,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_15751,c_95]) ).
tcf(c_15927,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xD )
| ~ aScalar0(xD)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xD,xB) ),
inference(superposition,[status(thm)],[c_15751,c_96]) ).
tcf(c_15928,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xD )
| ~ sdtlseqdt0(xD,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15927,c_68,c_64]) ).
tcf(c_15933,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15926,c_68,c_64]) ).
tcf(c_15945,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_15755,c_95]) ).
tcf(c_15946,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xC )
| ~ aScalar0(xC)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xC,xB) ),
inference(superposition,[status(thm)],[c_15755,c_96]) ).
tcf(c_15947,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xC )
| ~ sdtlseqdt0(xC,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15946,c_66,c_64]) ).
tcf(c_15952,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15945,c_66,c_64]) ).
tcf(c_15964,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_15759,c_95]) ).
tcf(c_15965,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xS )
| ~ aScalar0(xS)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xS,xB) ),
inference(superposition,[status(thm)],[c_15759,c_96]) ).
tcf(c_15966,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xS )
| ~ sdtlseqdt0(xS,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15965,c_82,c_64]) ).
tcf(c_15971,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15964,c_82,c_64]) ).
tcf(c_15985,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_15771,c_95]) ).
tcf(c_15986,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_15771,c_96]) ).
tcf(c_15987,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = sz0z00 )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15986,c_142,c_64]) ).
tcf(c_15992,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15985,c_142,c_64]) ).
tcf(c_16001,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_15459,c_130]) ).
tcf(c_16002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_15459,c_130]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16002,c_142,c_15431]) ).
tcf(c_16009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16001,c_142,c_15431]) ).
tcf(c_16019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_15460,c_130]) ).
tcf(c_16020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_15460,c_130]) ).
tcf(c_16021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xs,szszuzczcdt0(sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16020,c_142,c_15431]) ).
tcf(c_16027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16019,c_142,c_15431]) ).
tcf(c_16039,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_15763,c_95]) ).
tcf(c_16040,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xR )
| ~ aScalar0(xR)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xR,xB) ),
inference(superposition,[status(thm)],[c_15763,c_96]) ).
tcf(c_16041,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xR )
| ~ sdtlseqdt0(xR,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16040,c_78,c_64]) ).
tcf(c_16046,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16039,c_78,c_64]) ).
tcf(c_16059,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_15767,c_95]) ).
tcf(c_16060,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xN )
| ~ aScalar0(xN)
| ~ aScalar0(xB)
| ~ sdtlseqdt0(xN,xB) ),
inference(superposition,[status(thm)],[c_15767,c_96]) ).
tcf(c_16061,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| ( xB = xN )
| ~ sdtlseqdt0(xN,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16060,c_84,c_64]) ).
tcf(c_16066,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xA,xN)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16059,c_84,c_64]) ).
tcf(c_16075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13717,c_141]) ).
tcf(c_16076,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13717,c_141]) ).
tcf(c_16077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16076,c_142]) ).
tcf(c_16085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16075,c_142]) ).
tcf(c_16095,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13718,c_141]) ).
tcf(c_16096,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13718,c_141]) ).
tcf(c_16097,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16096,c_142]) ).
tcf(c_16105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16095,c_142,c_3420]) ).
tcf(c_16142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_14029,c_141]) ).
tcf(c_16143,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_14029,c_141]) ).
tcf(c_16144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16143,c_142]) ).
tcf(c_16152,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16142,c_142]) ).
tcf(c_16169,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_14030,c_141]) ).
tcf(c_16170,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_14030,c_141]) ).
tcf(c_16171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16170,c_142]) ).
tcf(c_16179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16169,c_142,c_3420]) ).
tcf(c_16188,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),X0) ),
inference(superposition,[status(thm)],[c_15444,c_141]) ).
tcf(c_16189,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) ),
inference(superposition,[status(thm)],[c_15444,c_141]) ).
tcf(c_16190,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16189,c_142]) ).
tcf(c_16198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16188,c_142]) ).
tcf(c_16208,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),X0) ),
inference(superposition,[status(thm)],[c_15445,c_141]) ).
tcf(c_16209,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) ),
inference(superposition,[status(thm)],[c_15445,c_141]) ).
tcf(c_16210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16209,c_142]) ).
tcf(c_16218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16208,c_142,c_3420]) ).
tcf(c_16235,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = sdtlbdtrb0(xq,aDimensionOf0(xt)),
inference(superposition,[status(thm)],[c_50,c_3427]) ).
tcf(c_16236,plain,
sdtlbdtrb0(xt,aDimensionOf0(xp)) = sdtlbdtrb0(xq,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_54,c_3427]) ).
tcf(c_16237,plain,
sdtlbdtrb0(xt,aDimensionOf0(xq)) = sdtlbdtrb0(xq,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_58,c_3427]) ).
tcf(c_16238,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0))) = sdtlbdtrb0(xq,aDimensionOf0(sziznziztdt0(X0))) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_3427]) ).
tcf(c_16244,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aVector0(xq)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(superposition,[status(thm)],[c_16236,c_114]) ).
tcf(c_16245,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16244,c_58]) ).
tcf(c_16248,plain,
aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(global_subsumption_just,[status(thm)],[c_16245,c_54,c_50,c_3728,c_7345]) ).
tcf(c_16250,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_11369]) ).
tcf(c_16251,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_10979]) ).
tcf(c_16252,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3753]) ).
tcf(c_16253,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3554]) ).
tcf(c_16254,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_3271]) ).
tcf(c_16255,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_3223]) ).
tcf(c_16256,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_7817]) ).
tcf(c_16257,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_7455]) ).
tcf(c_16258,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3108]) ).
tcf(c_16259,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3045]) ).
tcf(c_16260,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),sz0z00) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3024]) ).
tcf(c_16261,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_3087]) ).
tcf(c_16262,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_3066]) ).
tcf(c_16263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X1),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_131]) ).
tcf(c_16264,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_133]) ).
tcf(c_16265,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X1)) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_132]) ).
tcf(c_16266,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_136]) ).
tcf(c_16267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_134]) ).
tcf(c_16268,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_118]) ).
tcf(c_16269,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_117]) ).
tcf(c_16270,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16248,c_116]) ).
tcf(c_16271,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),sdtlbdtrb0(xt,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_124]) ).
tcf(c_16272,plain,
sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_123]) ).
tcf(c_16273,plain,
smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtlbdtrb0(xt,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_16248,c_125]) ).
tcf(c_16274,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp))) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_122]) ).
tcf(c_16275,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16248,c_121]) ).
tcf(c_16276,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp))) = sdtlbdtrb0(xt,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_16248,c_120]) ).
tcf(c_16277,plain,
sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sz0z00) = sdtlbdtrb0(xt,aDimensionOf0(xp)),
inference(superposition,[status(thm)],[c_16248,c_119]) ).
tcf(c_16343,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_16274,c_141]) ).
tcf(c_16344,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_16274,c_141]) ).
tcf(c_16345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16344,c_142,c_16248]) ).
tcf(c_16352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16343,c_142,c_16248]) ).
tcf(c_16361,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_16275,c_141]) ).
tcf(c_16362,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_16275,c_141]) ).
tcf(c_16363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16362,c_142,c_16248]) ).
tcf(c_16370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16361,c_142,c_3420,c_16248]) ).
tcf(c_16396,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aVector0(xq)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(superposition,[status(thm)],[c_16237,c_114]) ).
tcf(c_16397,plain,
( aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16396,c_58]) ).
tcf(c_16400,plain,
aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(global_subsumption_just,[status(thm)],[c_16397,c_58,c_50,c_3729,c_7344]) ).
tcf(c_16402,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_11369]) ).
tcf(c_16403,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_10979]) ).
tcf(c_16404,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3753]) ).
tcf(c_16405,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3554]) ).
tcf(c_16406,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_3271]) ).
tcf(c_16407,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_3223]) ).
tcf(c_16408,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_7817]) ).
tcf(c_16409,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_7455]) ).
tcf(c_16410,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3108]) ).
tcf(c_16411,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3045]) ).
tcf(c_16412,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),sz0z00) = smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3024]) ).
tcf(c_16413,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_3087]) ).
tcf(c_16414,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_3066]) ).
tcf(c_16415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X1),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_131]) ).
tcf(c_16416,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_133]) ).
tcf(c_16417,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X1)) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_132]) ).
tcf(c_16418,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_136]) ).
tcf(c_16419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_134]) ).
tcf(c_16420,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_118]) ).
tcf(c_16421,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_117]) ).
tcf(c_16422,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16400,c_116]) ).
tcf(c_16423,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),sdtlbdtrb0(xt,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_124]) ).
tcf(c_16424,plain,
sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_123]) ).
tcf(c_16425,plain,
smndt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtlbdtrb0(xt,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_16400,c_125]) ).
tcf(c_16426,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq))) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_122]) ).
tcf(c_16427,plain,
sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16400,c_121]) ).
tcf(c_16428,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq))) = sdtlbdtrb0(xt,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_16400,c_120]) ).
tcf(c_16429,plain,
sdtpldt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sz0z00) = sdtlbdtrb0(xt,aDimensionOf0(xq)),
inference(superposition,[status(thm)],[c_16400,c_119]) ).
tcf(c_16564,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_16426,c_141]) ).
tcf(c_16565,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_16426,c_141]) ).
tcf(c_16566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16565,c_142,c_16400]) ).
tcf(c_16573,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16564,c_142,c_16400]) ).
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(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16427,c_141]) ).
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(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16427,c_141]) ).
tcf(c_16584,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16583,c_142,c_16400]) ).
tcf(c_16591,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16582,c_142,c_3420,c_16400]) ).
tcf(c_16599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_16261,c_141]) ).
tcf(c_16600,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_16261,c_141]) ).
tcf(c_16601,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16600,c_142]) ).
tcf(c_16609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16599,c_142]) ).
tcf(c_16625,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_16262,c_141]) ).
tcf(c_16626,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,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_16262,c_141]) ).
tcf(c_16627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16626,c_142]) ).
tcf(c_16635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16625,c_142,c_3420]) ).
tcf(c_16644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_16413,c_141]) ).
tcf(c_16645,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_16413,c_141]) ).
tcf(c_16646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16645,c_142]) ).
tcf(c_16654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16644,c_142]) ).
tcf(c_16664,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_16414,c_141]) ).
tcf(c_16665,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,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_16414,c_141]) ).
tcf(c_16666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16665,c_142]) ).
tcf(c_16674,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16664,c_142,c_3420]) ).
tcf(c_16692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16276,c_130]) ).
tcf(c_16693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16276,c_130]) ).
tcf(c_16694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16693,c_142,c_16248]) ).
tcf(c_16700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16692,c_142,c_16248]) ).
tcf(c_16710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(superposition,[status(thm)],[c_16277,c_130]) ).
tcf(c_16711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(superposition,[status(thm)],[c_16277,c_130]) ).
tcf(c_16712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,aDimensionOf0(xp)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16711,c_142,c_16248]) ).
tcf(c_16718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16710,c_142,c_16248]) ).
tcf(c_16733,plain,
sdtasdt0(smndt0(sdtasasdt0(xs,xs)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_7460]) ).
tcf(c_16734,plain,
sdtasdt0(smndt0(sdtasasdt0(xt,xt)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_7460]) ).
tcf(c_16735,plain,
sdtasdt0(smndt0(sdtasasdt0(xp,xp)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_7460]) ).
tcf(c_16736,plain,
sdtasdt0(smndt0(sdtasasdt0(xq,xq)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_7460]) ).
tcf(c_16737,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_7460]) ).
tcf(c_16747,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_16733,c_141]) ).
tcf(c_16748,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_16733,c_141]) ).
tcf(c_16749,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_16748,c_142]) ).
tcf(c_16757,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_16747,c_142,c_3420]) ).
tcf(c_16788,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_16734,c_141]) ).
tcf(c_16789,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_16734,c_141]) ).
tcf(c_16790,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_16789,c_142]) ).
tcf(c_16798,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_16788,c_142,c_3420]) ).
tcf(c_16809,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xs,xs))) = sz0z00,
inference(superposition,[status(thm)],[c_49,c_7822]) ).
tcf(c_16810,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xt,xt))) = sz0z00,
inference(superposition,[status(thm)],[c_50,c_7822]) ).
tcf(c_16811,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xp,xp))) = sz0z00,
inference(superposition,[status(thm)],[c_54,c_7822]) ).
tcf(c_16812,plain,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(xq,xq))) = sz0z00,
inference(superposition,[status(thm)],[c_58,c_7822]) ).
tcf(c_16813,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtasdt0(sz0z00,smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_109,c_7822]) ).
tcf(c_16822,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_16809,c_141]) ).
tcf(c_16823,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_16809,c_141]) ).
tcf(c_16824,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_16823,c_142]) ).
tcf(c_16832,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_16822,c_142]) ).
tcf(c_16886,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_16810,c_141]) ).
tcf(c_16887,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_16810,c_141]) ).
tcf(c_16888,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_16887,c_142]) ).
tcf(c_16896,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_16886,c_142]) ).
tcf(c_16906,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aVector0(xp)
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(superposition,[status(thm)],[c_14940,c_114]) ).
tcf(c_16907,plain,
( aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16906,c_54]) ).
tcf(c_16912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13715,c_130]) ).
tcf(c_16913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13715,c_130]) ).
tcf(c_16914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16913,c_142]) ).
tcf(c_16921,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16912,c_142]) ).
tcf(c_16930,plain,
aScalar0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(global_subsumption_just,[status(thm)],[c_16907,c_49,c_2970,c_3829,c_7852]) ).
tcf(c_16932,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_11369]) ).
tcf(c_16933,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_10979]) ).
tcf(c_16934,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3753]) ).
tcf(c_16935,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3554]) ).
tcf(c_16936,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_3271]) ).
tcf(c_16937,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_3223]) ).
tcf(c_16938,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_7817]) ).
tcf(c_16939,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_7455]) ).
tcf(c_16940,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3108]) ).
tcf(c_16941,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3045]) ).
tcf(c_16942,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),sz0z00) = smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3024]) ).
tcf(c_16943,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_3087]) ).
tcf(c_16944,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_3066]) ).
tcf(c_16945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X1),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_131]) ).
tcf(c_16946,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_133]) ).
tcf(c_16947,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X1)) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_132]) ).
tcf(c_16948,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_136]) ).
tcf(c_16949,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) = sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_134]) ).
tcf(c_16950,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_118]) ).
tcf(c_16951,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_117]) ).
tcf(c_16952,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_16930,c_116]) ).
tcf(c_16953,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_124]) ).
tcf(c_16954,plain,
sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_123]) ).
tcf(c_16955,plain,
smndt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_16930,c_125]) ).
tcf(c_16956,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_122]) ).
tcf(c_16957,plain,
sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_16930,c_121]) ).
tcf(c_16958,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) = sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_16930,c_120]) ).
tcf(c_16959,plain,
sdtpldt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_16930,c_119]) ).
tcf(c_17012,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_16956,c_141]) ).
tcf(c_17013,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_16956,c_141]) ).
tcf(c_17014,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17013,c_142,c_16930]) ).
tcf(c_17021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17012,c_142,c_16930]) ).
tcf(c_17052,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_16957,c_141]) ).
tcf(c_17053,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_16957,c_141]) ).
tcf(c_17054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17053,c_142,c_16930]) ).
tcf(c_17061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17052,c_142,c_3420,c_16930]) ).
tcf(c_17069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16428,c_130]) ).
tcf(c_17070,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16428,c_130]) ).
tcf(c_17071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17070,c_142,c_16400]) ).
tcf(c_17077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17069,c_142,c_16400]) ).
tcf(c_17088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(superposition,[status(thm)],[c_16943,c_141]) ).
tcf(c_17089,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(superposition,[status(thm)],[c_16943,c_141]) ).
tcf(c_17090,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17089,c_142]) ).
tcf(c_17098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17088,c_142]) ).
tcf(c_17169,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(superposition,[status(thm)],[c_16944,c_141]) ).
tcf(c_17170,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(superposition,[status(thm)],[c_16944,c_141]) ).
tcf(c_17171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17170,c_142]) ).
tcf(c_17179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17169,c_142,c_3420]) ).
tcf(c_17194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(superposition,[status(thm)],[c_16429,c_130]) ).
tcf(c_17195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(superposition,[status(thm)],[c_16429,c_130]) ).
tcf(c_17196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,aDimensionOf0(xq)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,aDimensionOf0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17195,c_142,c_16400]) ).
tcf(c_17202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,aDimensionOf0(xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17194,c_142,c_16400]) ).
tcf(c_17214,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(X0))) = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(X0))) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_3429]) ).
tcf(c_17215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xt,szszuzczcdt0(sK0(X0))) = sdtlbdtrb0(xq,szszuzczcdt0(sK0(X0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3429]) ).
tcf(c_17216,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(X0))) = sdtlbdtrb0(xq,szszuzczcdt0(szszuzczcdt0(X0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_3429]) ).
tcf(c_17217,plain,
sdtlbdtrb0(xt,szszuzczcdt0(sz00)) = sdtlbdtrb0(xq,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_106,c_3429]) ).
tcf(c_17218,plain,
sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))) = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_2970,c_3429]) ).
tcf(c_17231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13716,c_130]) ).
tcf(c_17232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13716,c_130]) ).
tcf(c_17233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17232,c_142]) ).
tcf(c_17240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17231,c_142]) ).
tcf(c_17247,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aVector0(xq)
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(superposition,[status(thm)],[c_17217,c_114]) ).
tcf(c_17248,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(szszuzczcdt0(sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17247,c_58]) ).
tcf(c_17251,plain,
aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(global_subsumption_just,[status(thm)],[c_17248,c_106,c_50,c_3812,c_7347]) ).
tcf(c_17253,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_11369]) ).
tcf(c_17254,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_10979]) ).
tcf(c_17255,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3753]) ).
tcf(c_17256,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3554]) ).
tcf(c_17257,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_3271]) ).
tcf(c_17258,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_3223]) ).
tcf(c_17259,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_7817]) ).
tcf(c_17260,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_7455]) ).
tcf(c_17261,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3108]) ).
tcf(c_17262,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3045]) ).
tcf(c_17263,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),sz0z00) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3024]) ).
tcf(c_17264,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_3087]) ).
tcf(c_17265,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_3066]) ).
tcf(c_17266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X1),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_131]) ).
tcf(c_17267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_133]) ).
tcf(c_17268,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X1)) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_132]) ).
tcf(c_17269,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_136]) ).
tcf(c_17270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_134]) ).
tcf(c_17271,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_118]) ).
tcf(c_17272,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_117]) ).
tcf(c_17273,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17251,c_116]) ).
tcf(c_17274,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),sdtlbdtrb0(xt,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_124]) ).
tcf(c_17275,plain,
sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_123]) ).
tcf(c_17276,plain,
smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtlbdtrb0(xt,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_17251,c_125]) ).
tcf(c_17277,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_122]) ).
tcf(c_17278,plain,
sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17251,c_121]) ).
tcf(c_17279,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) = sdtlbdtrb0(xt,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_17251,c_120]) ).
tcf(c_17280,plain,
sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sz0z00) = sdtlbdtrb0(xt,szszuzczcdt0(sz00)),
inference(superposition,[status(thm)],[c_17251,c_119]) ).
tcf(c_17362,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_17277,c_141]) ).
tcf(c_17363,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_17277,c_141]) ).
tcf(c_17364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17363,c_142,c_17251]) ).
tcf(c_17371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17362,c_142,c_17251]) ).
tcf(c_17380,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_17278,c_141]) ).
tcf(c_17381,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_17278,c_141]) ).
tcf(c_17382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17381,c_142,c_17251]) ).
tcf(c_17389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17380,c_142,c_3420,c_17251]) ).
tcf(c_17397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),X0) ),
inference(superposition,[status(thm)],[c_17264,c_141]) ).
tcf(c_17398,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) ),
inference(superposition,[status(thm)],[c_17264,c_141]) ).
tcf(c_17399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17398,c_142]) ).
tcf(c_17407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17397,c_142]) ).
tcf(c_17433,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),X0) ),
inference(superposition,[status(thm)],[c_17265,c_141]) ).
tcf(c_17434,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,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) ),
inference(superposition,[status(thm)],[c_17265,c_141]) ).
tcf(c_17435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17434,c_142]) ).
tcf(c_17443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17433,c_142,c_3420]) ).
tcf(c_17452,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aVector0(xq)
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(superposition,[status(thm)],[c_17218,c_114]) ).
tcf(c_17453,plain,
( aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17452,c_58]) ).
tcf(c_17456,plain,
aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(global_subsumption_just,[status(thm)],[c_17453,c_50,c_2970,c_3829,c_7851]) ).
tcf(c_17458,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_11369]) ).
tcf(c_17459,plain,
sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_10979]) ).
tcf(c_17460,plain,
smndt0(sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3753]) ).
tcf(c_17461,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3554]) ).
tcf(c_17462,plain,
sdtpldt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_3271]) ).
tcf(c_17463,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_3223]) ).
tcf(c_17464,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_7817]) ).
tcf(c_17465,plain,
sdtasdt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_7455]) ).
tcf(c_17466,plain,
smndt0(smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3108]) ).
tcf(c_17467,plain,
sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3045]) ).
tcf(c_17468,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),sz0z00) = smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3024]) ).
tcf(c_17469,plain,
sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_3087]) ).
tcf(c_17470,plain,
sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_3066]) ).
tcf(c_17471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X1),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_131]) ).
tcf(c_17472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_133]) ).
tcf(c_17473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X1)) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_132]) ).
tcf(c_17474,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_136]) ).
tcf(c_17475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0),X1) = sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_134]) ).
tcf(c_17476,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_118]) ).
tcf(c_17477,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_117]) ).
tcf(c_17478,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_17456,c_116]) ).
tcf(c_17479,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_124]) ).
tcf(c_17480,plain,
sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_123]) ).
tcf(c_17481,plain,
smndt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_17456,c_125]) ).
tcf(c_17482,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_122]) ).
tcf(c_17483,plain,
sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_17456,c_121]) ).
tcf(c_17484,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) = sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_17456,c_120]) ).
tcf(c_17485,plain,
sdtpldt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00) = sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),
inference(superposition,[status(thm)],[c_17456,c_119]) ).
tcf(c_17566,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_17482,c_141]) ).
tcf(c_17567,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_17482,c_141]) ).
tcf(c_17568,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17567,c_142,c_17456]) ).
tcf(c_17575,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17566,c_142,c_17456]) ).
tcf(c_17584,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_17483,c_141]) ).
tcf(c_17585,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_17483,c_141]) ).
tcf(c_17586,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17585,c_142,c_17456]) ).
tcf(c_17593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17584,c_142,c_3420,c_17456]) ).
tcf(c_17613,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(superposition,[status(thm)],[c_17469,c_141]) ).
tcf(c_17614,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(superposition,[status(thm)],[c_17469,c_141]) ).
tcf(c_17615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17614,c_142]) ).
tcf(c_17623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(sz0z00,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17613,c_142]) ).
tcf(c_17633,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(superposition,[status(thm)],[c_17470,c_141]) ).
tcf(c_17634,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,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(superposition,[status(thm)],[c_17470,c_141]) ).
tcf(c_17635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17634,c_142]) ).
tcf(c_17643,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17633,c_142,c_3420]) ).
tcf(c_17654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13727,c_130]) ).
tcf(c_17655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13727,c_130]) ).
tcf(c_17656,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17655,c_13704]) ).
tcf(c_17663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17654,c_13704]) ).
tcf(c_17675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_17279,c_130]) ).
tcf(c_17676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_17279,c_130]) ).
tcf(c_17677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17676,c_142,c_17251]) ).
tcf(c_17683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17675,c_142,c_17251]) ).
tcf(c_17693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(superposition,[status(thm)],[c_17280,c_130]) ).
tcf(c_17694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(superposition,[status(thm)],[c_17280,c_130]) ).
tcf(c_17695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtlbdtrb0(xt,szszuzczcdt0(sz00)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sdtlbdtrb0(xt,szszuzczcdt0(sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17694,c_142,c_17251]) ).
tcf(c_17701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17693,c_142,c_17251]) ).
tcf(c_17723,plain,
sdtasdt0(smndt0(xA),smndt0(xA)) = sdtasdt0(xA,xA),
inference(superposition,[status(thm)],[c_62,c_3537]) ).
tcf(c_17724,plain,
sdtasdt0(smndt0(xA),smndt0(xB)) = sdtasdt0(xA,xB),
inference(superposition,[status(thm)],[c_64,c_3537]) ).
tcf(c_17725,plain,
sdtasdt0(smndt0(xA),smndt0(xC)) = sdtasdt0(xA,xC),
inference(superposition,[status(thm)],[c_66,c_3537]) ).
tcf(c_17726,plain,
sdtasdt0(smndt0(xA),smndt0(xD)) = sdtasdt0(xA,xD),
inference(superposition,[status(thm)],[c_68,c_3537]) ).
tcf(c_17727,plain,
sdtasdt0(smndt0(xA),smndt0(xE)) = sdtasdt0(xA,xE),
inference(superposition,[status(thm)],[c_70,c_3537]) ).
tcf(c_17728,plain,
sdtasdt0(smndt0(xA),smndt0(xF)) = sdtasdt0(xA,xF),
inference(superposition,[status(thm)],[c_72,c_3537]) ).
tcf(c_17729,plain,
sdtasdt0(smndt0(xA),smndt0(xG)) = sdtasdt0(xA,xG),
inference(superposition,[status(thm)],[c_74,c_3537]) ).
tcf(c_17730,plain,
sdtasdt0(smndt0(xA),smndt0(xH)) = sdtasdt0(xA,xH),
inference(superposition,[status(thm)],[c_76,c_3537]) ).
tcf(c_17731,plain,
sdtasdt0(smndt0(xA),smndt0(xR)) = sdtasdt0(xA,xR),
inference(superposition,[status(thm)],[c_78,c_3537]) ).
tcf(c_17732,plain,
sdtasdt0(smndt0(xA),smndt0(xP)) = sdtasdt0(xA,xP),
inference(superposition,[status(thm)],[c_80,c_3537]) ).
tcf(c_17733,plain,
sdtasdt0(smndt0(xA),smndt0(xS)) = sdtasdt0(xA,xS),
inference(superposition,[status(thm)],[c_82,c_3537]) ).
tcf(c_17734,plain,
sdtasdt0(smndt0(xA),smndt0(xN)) = sdtasdt0(xA,xN),
inference(superposition,[status(thm)],[c_84,c_3537]) ).
tcf(c_17735,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_98,c_3537]) ).
tcf(c_17736,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_114,c_3537]) ).
tcf(c_17737,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(smndt0(X0))) = sdtasdt0(xA,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3537]) ).
tcf(c_17738,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_138,c_3537]) ).
tcf(c_17739,plain,
sdtasdt0(smndt0(xA),smndt0(sz0z00)) = sdtasdt0(xA,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3537]) ).
tcf(c_17740,plain,
sdtasdt0(smndt0(xA),smndt0(smndt0(xN))) = sdtasdt0(xA,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3537]) ).
tcf(c_17741,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xA,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3537]) ).
tcf(c_17742,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xA,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3537]) ).
tcf(c_17743,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xA,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3537]) ).
tcf(c_17744,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xA,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3537]) ).
tcf(c_17745,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3537]) ).
tcf(c_17746,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3537]) ).
tcf(c_17747,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(xA,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3537]) ).
tcf(c_17748,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3537]) ).
tcf(c_17749,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3537]) ).
tcf(c_17750,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(xA,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3537]) ).
tcf(c_17751,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xA,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3537]) ).
tcf(c_17752,plain,
sdtasdt0(smndt0(xA),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xA,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3537]) ).
tcf(c_17754,plain,
sdtasdt0(smndt0(xA),smndt0(xB)) = xH,
inference(light_normalisation,[status(thm)],[c_17724,c_77]) ).
tcf(c_17755,plain,
sdtasdt0(smndt0(xA),smndt0(xA)) = xF,
inference(light_normalisation,[status(thm)],[c_17723,c_73]) ).
tcf(c_17756,plain,
sdtasdt0(smndt0(xA),xN) = sdtasdt0(xA,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_17740,c_3107]) ).
tcf(c_17828,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17754,c_129]) ).
tcf(c_17830,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_17754,c_141]) ).
tcf(c_17831,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_17754,c_141]) ).
tcf(c_17857,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_17755,c_141]) ).
tcf(c_17858,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_17755,c_141]) ).
tcf(c_17861,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_17755,c_139]) ).
tcf(c_17887,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_17725,c_129]) ).
tcf(c_17888,plain,
( aScalar0(sdtasdt0(xA,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17725,c_98]) ).
tcf(c_17889,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_17725,c_141]) ).
tcf(c_17890,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_17725,c_141]) ).
tcf(c_17949,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_17726,c_129]) ).
tcf(c_17950,plain,
( aScalar0(sdtasdt0(xA,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17726,c_98]) ).
tcf(c_17951,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_17726,c_141]) ).
tcf(c_17952,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_17726,c_141]) ).
tcf(c_17979,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_17727,c_129]) ).
tcf(c_17980,plain,
( aScalar0(sdtasdt0(xA,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17727,c_98]) ).
tcf(c_17981,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_17727,c_141]) ).
tcf(c_17982,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_17727,c_141]) ).
tcf(c_18009,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_17728,c_129]) ).
tcf(c_18010,plain,
( aScalar0(sdtasdt0(xA,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17728,c_98]) ).
tcf(c_18011,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_17728,c_141]) ).
tcf(c_18012,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_17728,c_141]) ).
tcf(c_18055,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_17729,c_129]) ).
tcf(c_18056,plain,
( aScalar0(sdtasdt0(xA,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17729,c_98]) ).
tcf(c_18057,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_17729,c_141]) ).
tcf(c_18058,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_17729,c_141]) ).
tcf(c_18085,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_17730,c_129]) ).
tcf(c_18086,plain,
( aScalar0(sdtasdt0(xA,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17730,c_98]) ).
tcf(c_18087,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_17730,c_141]) ).
tcf(c_18088,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_17730,c_141]) ).
tcf(c_18115,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_17731,c_129]) ).
tcf(c_18116,plain,
( aScalar0(sdtasdt0(xA,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17731,c_98]) ).
tcf(c_18117,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_17731,c_141]) ).
tcf(c_18118,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_17731,c_141]) ).
tcf(c_18145,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_17732,c_129]) ).
tcf(c_18146,plain,
( aScalar0(sdtasdt0(xA,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17732,c_98]) ).
tcf(c_18147,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_17732,c_141]) ).
tcf(c_18148,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_17732,c_141]) ).
tcf(c_18175,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_17733,c_129]) ).
tcf(c_18176,plain,
( aScalar0(sdtasdt0(xA,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17733,c_98]) ).
tcf(c_18177,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_17733,c_141]) ).
tcf(c_18178,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_17733,c_141]) ).
tcf(c_18211,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_17734,c_129]) ).
tcf(c_18212,plain,
( aScalar0(sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17734,c_98]) ).
tcf(c_18213,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_17734,c_141]) ).
tcf(c_18214,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_17734,c_141]) ).
tcf(c_18215,plain,
( aScalar0(sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18212,c_3847]) ).
tcf(c_18218,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,xN))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18211,c_3847]) ).
tcf(c_18223,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_18214,c_3847]) ).
tcf(c_18231,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_18213,c_3847]) ).
tcf(c_18243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(superposition,[status(thm)],[c_13728,c_130]) ).
tcf(c_18244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(superposition,[status(thm)],[c_13728,c_130]) ).
tcf(c_18245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xp)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18244,c_13704]) ).
tcf(c_18252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xp)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18243,c_13704]) ).
tcf(c_18263,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xA,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3537]) ).
tcf(c_18264,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_11369]) ).
tcf(c_18265,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_10979]) ).
tcf(c_18266,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xN))) = sdtasdt0(sz0z00,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3753]) ).
tcf(c_18267,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = sdtasdt0(sz0z00,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3554]) ).
tcf(c_18268,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xN))),smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3271]) ).
tcf(c_18269,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),smndt0(smndt0(sdtasdt0(xA,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3223]) ).
tcf(c_18270,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_7817]) ).
tcf(c_18271,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_7455]) ).
tcf(c_18272,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xN)))) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3108]) ).
tcf(c_18273,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3045]) ).
tcf(c_18274,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),sz0z00) = smndt0(sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3024]) ).
tcf(c_18275,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3087]) ).
tcf(c_18276,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3066]) ).
tcf(c_18277,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_18215,c_131]) ).
tcf(c_18278,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_18215,c_133]) ).
tcf(c_18279,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_18215,c_132]) ).
tcf(c_18280,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_18215,c_136]) ).
tcf(c_18281,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_18215,c_134]) ).
tcf(c_18282,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_18215,c_118]) ).
tcf(c_18283,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_18215,c_117]) ).
tcf(c_18284,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_18215,c_116]) ).
tcf(c_18285,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xN)),sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_124]) ).
tcf(c_18286,plain,
( ( sdtpldt0(sdtasdt0(xA,xN),smndt0(sdtasdt0(xA,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_123]) ).
tcf(c_18287,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_125]) ).
tcf(c_18288,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_122]) ).
tcf(c_18289,plain,
( ( sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_121]) ).
tcf(c_18290,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xN)) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_120]) ).
tcf(c_18291,plain,
( ( sdtpldt0(sdtasdt0(xA,xN),sz0z00) = sdtasdt0(xA,xN) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_119]) ).
tcf(c_18453,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xA,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3537]) ).
tcf(c_18454,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_11369]) ).
tcf(c_18455,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_10979]) ).
tcf(c_18456,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xC))) = sdtasdt0(sz0z00,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3753]) ).
tcf(c_18457,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = sdtasdt0(sz0z00,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3554]) ).
tcf(c_18458,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xC))),smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3271]) ).
tcf(c_18459,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),smndt0(smndt0(sdtasdt0(xA,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3223]) ).
tcf(c_18460,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_7817]) ).
tcf(c_18461,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_7455]) ).
tcf(c_18462,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xC)))) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3108]) ).
tcf(c_18463,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3045]) ).
tcf(c_18464,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),sz0z00) = smndt0(sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3024]) ).
tcf(c_18465,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3087]) ).
tcf(c_18466,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3066]) ).
tcf(c_18467,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_17888,c_131]) ).
tcf(c_18468,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_17888,c_133]) ).
tcf(c_18469,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_17888,c_132]) ).
tcf(c_18470,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_17888,c_136]) ).
tcf(c_18471,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_17888,c_134]) ).
tcf(c_18472,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_17888,c_118]) ).
tcf(c_18473,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_17888,c_117]) ).
tcf(c_18474,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_17888,c_116]) ).
tcf(c_18475,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xC)),sdtasdt0(xA,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_124]) ).
tcf(c_18476,plain,
( ( sdtpldt0(sdtasdt0(xA,xC),smndt0(sdtasdt0(xA,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_123]) ).
tcf(c_18477,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_125]) ).
tcf(c_18478,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_122]) ).
tcf(c_18479,plain,
( ( sdtasdt0(sdtasdt0(xA,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_121]) ).
tcf(c_18480,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xC)) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_120]) ).
tcf(c_18481,plain,
( ( sdtpldt0(sdtasdt0(xA,xC),sz0z00) = sdtasdt0(xA,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_119]) ).
tcf(c_18655,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xA,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3537]) ).
tcf(c_18656,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_11369]) ).
tcf(c_18657,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_10979]) ).
tcf(c_18658,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xD))) = sdtasdt0(sz0z00,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3753]) ).
tcf(c_18659,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = sdtasdt0(sz0z00,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3554]) ).
tcf(c_18660,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xD))),smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3271]) ).
tcf(c_18661,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),smndt0(smndt0(sdtasdt0(xA,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3223]) ).
tcf(c_18662,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_7817]) ).
tcf(c_18663,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_7455]) ).
tcf(c_18664,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xD)))) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3108]) ).
tcf(c_18665,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3045]) ).
tcf(c_18666,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),sz0z00) = smndt0(sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3024]) ).
tcf(c_18667,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3087]) ).
tcf(c_18668,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3066]) ).
tcf(c_18669,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_17950,c_131]) ).
tcf(c_18670,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_17950,c_133]) ).
tcf(c_18671,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_17950,c_132]) ).
tcf(c_18672,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_17950,c_136]) ).
tcf(c_18673,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_17950,c_134]) ).
tcf(c_18674,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_17950,c_118]) ).
tcf(c_18675,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_17950,c_117]) ).
tcf(c_18676,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_17950,c_116]) ).
tcf(c_18677,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xD)),sdtasdt0(xA,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_124]) ).
tcf(c_18678,plain,
( ( sdtpldt0(sdtasdt0(xA,xD),smndt0(sdtasdt0(xA,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_123]) ).
tcf(c_18679,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_125]) ).
tcf(c_18680,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_122]) ).
tcf(c_18681,plain,
( ( sdtasdt0(sdtasdt0(xA,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_121]) ).
tcf(c_18682,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xD)) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_120]) ).
tcf(c_18683,plain,
( ( sdtpldt0(sdtasdt0(xA,xD),sz0z00) = sdtasdt0(xA,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_119]) ).
tcf(c_19733,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xA,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3537]) ).
tcf(c_19734,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_11369]) ).
tcf(c_19735,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_10979]) ).
tcf(c_19736,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xE))) = sdtasdt0(sz0z00,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3753]) ).
tcf(c_19737,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = sdtasdt0(sz0z00,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3554]) ).
tcf(c_19738,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xE))),smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3271]) ).
tcf(c_19739,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),smndt0(smndt0(sdtasdt0(xA,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3223]) ).
tcf(c_19740,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_7817]) ).
tcf(c_19741,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_7455]) ).
tcf(c_19742,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xE)))) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3108]) ).
tcf(c_19743,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3045]) ).
tcf(c_19744,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),sz0z00) = smndt0(sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3024]) ).
tcf(c_19745,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3087]) ).
tcf(c_19746,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3066]) ).
tcf(c_19747,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_17980,c_131]) ).
tcf(c_19748,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_17980,c_133]) ).
tcf(c_19749,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_17980,c_132]) ).
tcf(c_19750,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_17980,c_136]) ).
tcf(c_19751,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_17980,c_134]) ).
tcf(c_19752,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_17980,c_118]) ).
tcf(c_19753,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_17980,c_117]) ).
tcf(c_19754,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_17980,c_116]) ).
tcf(c_19755,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xE)),sdtasdt0(xA,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_124]) ).
tcf(c_19756,plain,
( ( sdtpldt0(sdtasdt0(xA,xE),smndt0(sdtasdt0(xA,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_123]) ).
tcf(c_19757,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_125]) ).
tcf(c_19758,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_122]) ).
tcf(c_19759,plain,
( ( sdtasdt0(sdtasdt0(xA,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_121]) ).
tcf(c_19760,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xE)) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_120]) ).
tcf(c_19761,plain,
( ( sdtpldt0(sdtasdt0(xA,xE),sz0z00) = sdtasdt0(xA,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_119]) ).
tcf(c_19871,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17756,c_129]) ).
tcf(c_19872,plain,
( aScalar0(sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17756,c_98]) ).
tcf(c_19873,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_17756,c_141]) ).
tcf(c_19874,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_17756,c_141]) ).
tcf(c_19875,plain,
( aScalar0(sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19872,c_84]) ).
tcf(c_19878,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(sz0z00,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19871,c_84,c_4123]) ).
tcf(c_19882,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_19874,c_84]) ).
tcf(c_19890,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_19873,c_84,c_4123]) ).
tcf(c_19903,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3537]) ).
tcf(c_19904,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_11369]) ).
tcf(c_19905,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_10979]) ).
tcf(c_19906,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3753]) ).
tcf(c_19907,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3554]) ).
tcf(c_19908,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))),smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3271]) ).
tcf(c_19909,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3223]) ).
tcf(c_19910,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_7817]) ).
tcf(c_19911,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_7455]) ).
tcf(c_19912,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,smndt0(xN))))) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3108]) ).
tcf(c_19913,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3045]) ).
tcf(c_19914,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3024]) ).
tcf(c_19915,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3087]) ).
tcf(c_19916,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3066]) ).
tcf(c_19917,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_19875,c_131]) ).
tcf(c_19918,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_19875,c_133]) ).
tcf(c_19919,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_19875,c_132]) ).
tcf(c_19920,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_19875,c_136]) ).
tcf(c_19921,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_19875,c_134]) ).
tcf(c_19922,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_19875,c_118]) ).
tcf(c_19923,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_19875,c_117]) ).
tcf(c_19924,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_19875,c_116]) ).
tcf(c_19925,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,smndt0(xN))),sdtasdt0(xA,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_124]) ).
tcf(c_19926,plain,
( ( sdtpldt0(sdtasdt0(xA,smndt0(xN)),smndt0(sdtasdt0(xA,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_123]) ).
tcf(c_19927,plain,
( ( smndt0(smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_125]) ).
tcf(c_19928,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_122]) ).
tcf(c_19929,plain,
( ( sdtasdt0(sdtasdt0(xA,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_121]) ).
tcf(c_19930,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,smndt0(xN))) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_120]) ).
tcf(c_19931,plain,
( ( sdtpldt0(sdtasdt0(xA,smndt0(xN)),sz0z00) = sdtasdt0(xA,smndt0(xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_119]) ).
tcf(c_20127,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xA,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3537]) ).
tcf(c_20128,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_11369]) ).
tcf(c_20129,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_10979]) ).
tcf(c_20130,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xF))) = sdtasdt0(sz0z00,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3753]) ).
tcf(c_20131,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = sdtasdt0(sz0z00,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3554]) ).
tcf(c_20132,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xF))),smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3271]) ).
tcf(c_20133,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),smndt0(smndt0(sdtasdt0(xA,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3223]) ).
tcf(c_20134,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_7817]) ).
tcf(c_20135,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_7455]) ).
tcf(c_20136,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xF)))) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3108]) ).
tcf(c_20137,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3045]) ).
tcf(c_20138,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),sz0z00) = smndt0(sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3024]) ).
tcf(c_20139,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3087]) ).
tcf(c_20140,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3066]) ).
tcf(c_20141,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_18010,c_131]) ).
tcf(c_20142,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_18010,c_133]) ).
tcf(c_20143,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_18010,c_132]) ).
tcf(c_20144,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_18010,c_136]) ).
tcf(c_20145,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_18010,c_134]) ).
tcf(c_20146,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_18010,c_118]) ).
tcf(c_20147,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_18010,c_117]) ).
tcf(c_20148,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_18010,c_116]) ).
tcf(c_20149,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xF)),sdtasdt0(xA,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_124]) ).
tcf(c_20150,plain,
( ( sdtpldt0(sdtasdt0(xA,xF),smndt0(sdtasdt0(xA,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_123]) ).
tcf(c_20151,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_125]) ).
tcf(c_20152,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_122]) ).
tcf(c_20153,plain,
( ( sdtasdt0(sdtasdt0(xA,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_121]) ).
tcf(c_20154,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xF)) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_120]) ).
tcf(c_20155,plain,
( ( sdtpldt0(sdtasdt0(xA,xF),sz0z00) = sdtasdt0(xA,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_119]) ).
tcf(c_20404,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xA,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3537]) ).
tcf(c_20405,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_11369]) ).
tcf(c_20406,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_10979]) ).
tcf(c_20407,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xG))) = sdtasdt0(sz0z00,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3753]) ).
tcf(c_20408,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = sdtasdt0(sz0z00,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3554]) ).
tcf(c_20409,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xG))),smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3271]) ).
tcf(c_20410,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),smndt0(smndt0(sdtasdt0(xA,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3223]) ).
tcf(c_20411,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_7817]) ).
tcf(c_20412,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_7455]) ).
tcf(c_20413,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xG)))) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3108]) ).
tcf(c_20414,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3045]) ).
tcf(c_20415,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),sz0z00) = smndt0(sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3024]) ).
tcf(c_20416,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3087]) ).
tcf(c_20417,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3066]) ).
tcf(c_20418,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_18056,c_131]) ).
tcf(c_20419,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_18056,c_133]) ).
tcf(c_20420,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_18056,c_132]) ).
tcf(c_20421,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_18056,c_136]) ).
tcf(c_20422,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_18056,c_134]) ).
tcf(c_20423,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_18056,c_118]) ).
tcf(c_20424,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_18056,c_117]) ).
tcf(c_20425,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_18056,c_116]) ).
tcf(c_20426,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xG)),sdtasdt0(xA,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_124]) ).
tcf(c_20427,plain,
( ( sdtpldt0(sdtasdt0(xA,xG),smndt0(sdtasdt0(xA,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_123]) ).
tcf(c_20428,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_125]) ).
tcf(c_20429,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_122]) ).
tcf(c_20430,plain,
( ( sdtasdt0(sdtasdt0(xA,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_121]) ).
tcf(c_20431,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xG)) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_120]) ).
tcf(c_20432,plain,
( ( sdtpldt0(sdtasdt0(xA,xG),sz0z00) = sdtasdt0(xA,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_119]) ).
tcf(c_20564,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xA,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3537]) ).
tcf(c_20565,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_11369]) ).
tcf(c_20566,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_10979]) ).
tcf(c_20567,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xH))) = sdtasdt0(sz0z00,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3753]) ).
tcf(c_20568,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = sdtasdt0(sz0z00,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3554]) ).
tcf(c_20569,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xH))),smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3271]) ).
tcf(c_20570,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),smndt0(smndt0(sdtasdt0(xA,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3223]) ).
tcf(c_20571,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_7817]) ).
tcf(c_20572,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_7455]) ).
tcf(c_20573,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xH)))) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3108]) ).
tcf(c_20574,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3045]) ).
tcf(c_20575,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),sz0z00) = smndt0(sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3024]) ).
tcf(c_20576,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3087]) ).
tcf(c_20577,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3066]) ).
tcf(c_20578,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_18086,c_131]) ).
tcf(c_20579,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_18086,c_133]) ).
tcf(c_20580,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_18086,c_132]) ).
tcf(c_20581,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_18086,c_136]) ).
tcf(c_20582,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_18086,c_134]) ).
tcf(c_20583,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_18086,c_118]) ).
tcf(c_20584,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_18086,c_117]) ).
tcf(c_20585,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_18086,c_116]) ).
tcf(c_20586,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xH)),sdtasdt0(xA,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_124]) ).
tcf(c_20587,plain,
( ( sdtpldt0(sdtasdt0(xA,xH),smndt0(sdtasdt0(xA,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_123]) ).
tcf(c_20588,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_125]) ).
tcf(c_20589,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_122]) ).
tcf(c_20590,plain,
( ( sdtasdt0(sdtasdt0(xA,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_121]) ).
tcf(c_20591,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xH)) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_120]) ).
tcf(c_20592,plain,
( ( sdtpldt0(sdtasdt0(xA,xH),sz0z00) = sdtasdt0(xA,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_119]) ).
tcf(c_20833,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xA,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3537]) ).
tcf(c_20834,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_11369]) ).
tcf(c_20835,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_10979]) ).
tcf(c_20836,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xR))) = sdtasdt0(sz0z00,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3753]) ).
tcf(c_20837,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = sdtasdt0(sz0z00,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3554]) ).
tcf(c_20838,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xR))),smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3271]) ).
tcf(c_20839,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),smndt0(smndt0(sdtasdt0(xA,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3223]) ).
tcf(c_20840,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_7817]) ).
tcf(c_20841,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_7455]) ).
tcf(c_20842,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xR)))) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3108]) ).
tcf(c_20843,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3045]) ).
tcf(c_20844,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),sz0z00) = smndt0(sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3024]) ).
tcf(c_20845,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3087]) ).
tcf(c_20846,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3066]) ).
tcf(c_20847,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_18116,c_131]) ).
tcf(c_20848,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_18116,c_133]) ).
tcf(c_20849,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_18116,c_132]) ).
tcf(c_20850,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_18116,c_136]) ).
tcf(c_20851,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_18116,c_134]) ).
tcf(c_20852,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_18116,c_118]) ).
tcf(c_20853,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_18116,c_117]) ).
tcf(c_20854,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_18116,c_116]) ).
tcf(c_20855,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xR)),sdtasdt0(xA,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_124]) ).
tcf(c_20856,plain,
( ( sdtpldt0(sdtasdt0(xA,xR),smndt0(sdtasdt0(xA,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_123]) ).
tcf(c_20857,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_125]) ).
tcf(c_20858,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_122]) ).
tcf(c_20859,plain,
( ( sdtasdt0(sdtasdt0(xA,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_121]) ).
tcf(c_20860,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xR)) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_120]) ).
tcf(c_20861,plain,
( ( sdtpldt0(sdtasdt0(xA,xR),sz0z00) = sdtasdt0(xA,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_119]) ).
tcf(c_21086,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xA,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3537]) ).
tcf(c_21087,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_11369]) ).
tcf(c_21088,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_10979]) ).
tcf(c_21089,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xP))) = sdtasdt0(sz0z00,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3753]) ).
tcf(c_21090,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = sdtasdt0(sz0z00,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3554]) ).
tcf(c_21091,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xP))),smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3271]) ).
tcf(c_21092,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),smndt0(smndt0(sdtasdt0(xA,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3223]) ).
tcf(c_21093,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_7817]) ).
tcf(c_21094,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_7455]) ).
tcf(c_21095,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xP)))) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3108]) ).
tcf(c_21096,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3045]) ).
tcf(c_21097,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),sz0z00) = smndt0(sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3024]) ).
tcf(c_21098,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3087]) ).
tcf(c_21099,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3066]) ).
tcf(c_21100,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_18146,c_131]) ).
tcf(c_21101,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_18146,c_133]) ).
tcf(c_21102,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_18146,c_132]) ).
tcf(c_21103,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_18146,c_136]) ).
tcf(c_21104,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_18146,c_134]) ).
tcf(c_21105,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_18146,c_118]) ).
tcf(c_21106,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_18146,c_117]) ).
tcf(c_21107,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_18146,c_116]) ).
tcf(c_21108,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xP)),sdtasdt0(xA,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_124]) ).
tcf(c_21109,plain,
( ( sdtpldt0(sdtasdt0(xA,xP),smndt0(sdtasdt0(xA,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_123]) ).
tcf(c_21110,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_125]) ).
tcf(c_21111,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_122]) ).
tcf(c_21112,plain,
( ( sdtasdt0(sdtasdt0(xA,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_121]) ).
tcf(c_21113,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xP)) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_120]) ).
tcf(c_21114,plain,
( ( sdtpldt0(sdtasdt0(xA,xP),sz0z00) = sdtasdt0(xA,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_119]) ).
tcf(c_21224,plain,
( aScalar0(sdtasdt0(xA,xS))
| ~ aScalar0(smndt0(xA)) ),
inference(global_subsumption_just,[status(thm)],[c_18176,c_82,c_15494,c_18176]) ).
tcf(c_21230,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xA,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3537]) ).
tcf(c_21231,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xA,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_11369]) ).
tcf(c_21232,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xA,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_10979]) ).
tcf(c_21233,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xA,xS))) = sdtasdt0(sz0z00,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3753]) ).
tcf(c_21234,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = sdtasdt0(sz0z00,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3554]) ).
tcf(c_21235,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xA,xS))),smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3271]) ).
tcf(c_21236,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),smndt0(smndt0(sdtasdt0(xA,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3223]) ).
tcf(c_21237,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xA,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_7817]) ).
tcf(c_21238,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xA,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_7455]) ).
tcf(c_21239,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xA,xS)))) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3108]) ).
tcf(c_21240,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3045]) ).
tcf(c_21241,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),sz0z00) = smndt0(sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3024]) ).
tcf(c_21242,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3087]) ).
tcf(c_21243,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xA,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3066]) ).
tcf(c_21244,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_21224,c_131]) ).
tcf(c_21245,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_21224,c_133]) ).
tcf(c_21246,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_21224,c_132]) ).
tcf(c_21247,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_21224,c_136]) ).
tcf(c_21248,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_21224,c_134]) ).
tcf(c_21249,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_21224,c_118]) ).
tcf(c_21250,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_21224,c_117]) ).
tcf(c_21251,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_21224,c_116]) ).
tcf(c_21252,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xA,xS)),sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_124]) ).
tcf(c_21253,plain,
( ( sdtpldt0(sdtasdt0(xA,xS),smndt0(sdtasdt0(xA,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_123]) ).
tcf(c_21254,plain,
( ( smndt0(smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_125]) ).
tcf(c_21255,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_122]) ).
tcf(c_21256,plain,
( ( sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_121]) ).
tcf(c_21257,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xA,xS)) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_120]) ).
tcf(c_21258,plain,
( ( sdtpldt0(sdtasdt0(xA,xS),sz0z00) = sdtasdt0(xA,xS) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_119]) ).
tcf(c_21402,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_127,c_18288]) ).
tcf(c_21403,plain,
sdtasdt0(sz0z00,sdtasdt0(xA,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_21402,c_62]) ).
tcf(c_21406,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_21403,c_141]) ).
tcf(c_21407,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_21403,c_141]) ).
tcf(c_21408,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_21407,c_142]) ).
tcf(c_21416,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_21406,c_142]) ).
tcf(c_21429,plain,
( ( sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_127,c_18289]) ).
tcf(c_21430,plain,
sdtasdt0(sdtasdt0(xA,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_21429,c_62]) ).
tcf(c_21433,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_21430,c_141]) ).
tcf(c_21434,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_21430,c_141]) ).
tcf(c_21435,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_21434,c_142]) ).
tcf(c_21443,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_21433,c_142,c_3420]) ).
tcf(c_21454,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_127,c_21255]) ).
tcf(c_21455,plain,
sdtasdt0(sz0z00,sdtasdt0(xA,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_21454,c_62]) ).
tcf(c_21458,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_21455,c_141]) ).
tcf(c_21459,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_21455,c_141]) ).
tcf(c_21460,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_21459,c_142]) ).
tcf(c_21468,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_21458,c_142]) ).
tcf(c_21480,plain,
( ( sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_127,c_21256]) ).
tcf(c_21481,plain,
sdtasdt0(sdtasdt0(xA,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_21480,c_62]) ).
tcf(c_21484,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_21481,c_141]) ).
tcf(c_21485,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_21481,c_141]) ).
tcf(c_21486,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_21485,c_142]) ).
tcf(c_21494,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_21484,c_142,c_3420]) ).
tcf(c_21505,plain,
sdtasdt0(smndt0(xB),smndt0(xA)) = sdtasdt0(xB,xA),
inference(superposition,[status(thm)],[c_62,c_3538]) ).
tcf(c_21506,plain,
sdtasdt0(smndt0(xB),smndt0(xB)) = sdtasdt0(xB,xB),
inference(superposition,[status(thm)],[c_64,c_3538]) ).
tcf(c_21507,plain,
sdtasdt0(smndt0(xB),smndt0(xC)) = sdtasdt0(xB,xC),
inference(superposition,[status(thm)],[c_66,c_3538]) ).
tcf(c_21508,plain,
sdtasdt0(smndt0(xB),smndt0(xD)) = sdtasdt0(xB,xD),
inference(superposition,[status(thm)],[c_68,c_3538]) ).
tcf(c_21509,plain,
sdtasdt0(smndt0(xB),smndt0(xE)) = sdtasdt0(xB,xE),
inference(superposition,[status(thm)],[c_70,c_3538]) ).
tcf(c_21510,plain,
sdtasdt0(smndt0(xB),smndt0(xF)) = sdtasdt0(xB,xF),
inference(superposition,[status(thm)],[c_72,c_3538]) ).
tcf(c_21511,plain,
sdtasdt0(smndt0(xB),smndt0(xG)) = sdtasdt0(xB,xG),
inference(superposition,[status(thm)],[c_74,c_3538]) ).
tcf(c_21512,plain,
sdtasdt0(smndt0(xB),smndt0(xH)) = sdtasdt0(xB,xH),
inference(superposition,[status(thm)],[c_76,c_3538]) ).
tcf(c_21513,plain,
sdtasdt0(smndt0(xB),smndt0(xR)) = sdtasdt0(xB,xR),
inference(superposition,[status(thm)],[c_78,c_3538]) ).
tcf(c_21514,plain,
sdtasdt0(smndt0(xB),smndt0(xP)) = sdtasdt0(xB,xP),
inference(superposition,[status(thm)],[c_80,c_3538]) ).
tcf(c_21515,plain,
sdtasdt0(smndt0(xB),smndt0(xS)) = sdtasdt0(xB,xS),
inference(superposition,[status(thm)],[c_82,c_3538]) ).
tcf(c_21516,plain,
sdtasdt0(smndt0(xB),smndt0(xN)) = sdtasdt0(xB,xN),
inference(superposition,[status(thm)],[c_84,c_3538]) ).
tcf(c_21517,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_98,c_3538]) ).
tcf(c_21518,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_114,c_3538]) ).
tcf(c_21519,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(smndt0(X0))) = sdtasdt0(xB,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3538]) ).
tcf(c_21520,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_138,c_3538]) ).
tcf(c_21521,plain,
sdtasdt0(smndt0(xB),smndt0(sz0z00)) = sdtasdt0(xB,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3538]) ).
tcf(c_21522,plain,
sdtasdt0(smndt0(xB),smndt0(smndt0(xN))) = sdtasdt0(xB,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3538]) ).
tcf(c_21523,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xB,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3538]) ).
tcf(c_21524,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xB,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3538]) ).
tcf(c_21525,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xB,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3538]) ).
tcf(c_21526,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xB,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3538]) ).
tcf(c_21527,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(xB,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3538]) ).
tcf(c_21528,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(xB,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3538]) ).
tcf(c_21529,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(xB,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3538]) ).
tcf(c_21530,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3538]) ).
tcf(c_21531,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3538]) ).
tcf(c_21532,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(xB,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3538]) ).
tcf(c_21533,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xB,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3538]) ).
tcf(c_21534,plain,
sdtasdt0(smndt0(xB),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xB,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3538]) ).
tcf(c_21535,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xB,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3538]) ).
tcf(c_21536,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xB,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3538]) ).
tcf(c_21537,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xB,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3538]) ).
tcf(c_21538,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xB,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3538]) ).
tcf(c_21539,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xB,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3538]) ).
tcf(c_21540,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xB,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3538]) ).
tcf(c_21541,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xB,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3538]) ).
tcf(c_21542,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xB,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3538]) ).
tcf(c_21543,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xB,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3538]) ).
tcf(c_21544,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xB,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3538]) ).
tcf(c_21545,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3538]) ).
tcf(c_21547,plain,
sdtasdt0(smndt0(xB),smndt0(xB)) = xG,
inference(light_normalisation,[status(thm)],[c_21506,c_75]) ).
tcf(c_21548,plain,
sdtasdt0(smndt0(xB),xN) = sdtasdt0(xB,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_21522,c_3107]) ).
tcf(c_21611,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_21547,c_141]) ).
tcf(c_21612,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_21547,c_141]) ).
tcf(c_21615,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_21547,c_139]) ).
tcf(c_21681,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_21505,c_129]) ).
tcf(c_21682,plain,
( aScalar0(sdtasdt0(xB,xA))
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21505,c_98]) ).
tcf(c_21683,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_21505,c_141]) ).
tcf(c_21684,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_21505,c_141]) ).
tcf(c_21711,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_21507,c_129]) ).
tcf(c_21712,plain,
( aScalar0(sdtasdt0(xB,xC))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21507,c_98]) ).
tcf(c_21713,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_21507,c_141]) ).
tcf(c_21714,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_21507,c_141]) ).
tcf(c_21741,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_21508,c_129]) ).
tcf(c_21742,plain,
( aScalar0(sdtasdt0(xB,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21508,c_98]) ).
tcf(c_21743,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_21508,c_141]) ).
tcf(c_21744,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_21508,c_141]) ).
tcf(c_21771,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_21509,c_129]) ).
tcf(c_21772,plain,
( aScalar0(sdtasdt0(xB,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21509,c_98]) ).
tcf(c_21773,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_21509,c_141]) ).
tcf(c_21774,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_21509,c_141]) ).
tcf(c_21801,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_21510,c_129]) ).
tcf(c_21802,plain,
( aScalar0(sdtasdt0(xB,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21510,c_98]) ).
tcf(c_21803,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_21510,c_141]) ).
tcf(c_21804,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_21510,c_141]) ).
tcf(c_21831,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_21511,c_129]) ).
tcf(c_21832,plain,
( aScalar0(sdtasdt0(xB,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21511,c_98]) ).
tcf(c_21833,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_21511,c_141]) ).
tcf(c_21834,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_21511,c_141]) ).
tcf(c_21881,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_21512,c_129]) ).
tcf(c_21882,plain,
( aScalar0(sdtasdt0(xB,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21512,c_98]) ).
tcf(c_21883,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_21512,c_141]) ).
tcf(c_21884,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_21512,c_141]) ).
tcf(c_21911,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_21513,c_129]) ).
tcf(c_21912,plain,
( aScalar0(sdtasdt0(xB,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21513,c_98]) ).
tcf(c_21913,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_21513,c_141]) ).
tcf(c_21914,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_21513,c_141]) ).
tcf(c_21942,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_21514,c_129]) ).
tcf(c_21943,plain,
( aScalar0(sdtasdt0(xB,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21514,c_98]) ).
tcf(c_21944,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_21514,c_141]) ).
tcf(c_21945,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_21514,c_141]) ).
tcf(c_21972,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_21515,c_129]) ).
tcf(c_21973,plain,
( aScalar0(sdtasdt0(xB,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21515,c_98]) ).
tcf(c_21974,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_21515,c_141]) ).
tcf(c_21975,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_21515,c_141]) ).
tcf(c_22002,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_21516,c_129]) ).
tcf(c_22003,plain,
( aScalar0(sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21516,c_98]) ).
tcf(c_22004,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_21516,c_141]) ).
tcf(c_22005,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_21516,c_141]) ).
tcf(c_22006,plain,
( aScalar0(sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22003,c_3847]) ).
tcf(c_22009,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,xN))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22002,c_3847]) ).
tcf(c_22014,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_22005,c_3847]) ).
tcf(c_22022,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_22004,c_3847]) ).
tcf(c_22036,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xB,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3538]) ).
tcf(c_22037,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xA,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3537]) ).
tcf(c_22038,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_11369]) ).
tcf(c_22039,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_10979]) ).
tcf(c_22040,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xN))) = sdtasdt0(sz0z00,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3753]) ).
tcf(c_22041,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = sdtasdt0(sz0z00,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3554]) ).
tcf(c_22042,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xN))),smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3271]) ).
tcf(c_22043,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),smndt0(smndt0(sdtasdt0(xB,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3223]) ).
tcf(c_22044,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_7817]) ).
tcf(c_22045,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_7455]) ).
tcf(c_22046,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xN)))) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3108]) ).
tcf(c_22047,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3045]) ).
tcf(c_22048,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),sz0z00) = smndt0(sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3024]) ).
tcf(c_22049,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3087]) ).
tcf(c_22050,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3066]) ).
tcf(c_22051,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_22006,c_131]) ).
tcf(c_22052,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_22006,c_133]) ).
tcf(c_22053,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_22006,c_132]) ).
tcf(c_22054,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_22006,c_136]) ).
tcf(c_22055,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_22006,c_134]) ).
tcf(c_22056,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_22006,c_118]) ).
tcf(c_22057,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_22006,c_117]) ).
tcf(c_22058,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_22006,c_116]) ).
tcf(c_22059,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xN)),sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_124]) ).
tcf(c_22060,plain,
( ( sdtpldt0(sdtasdt0(xB,xN),smndt0(sdtasdt0(xB,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_123]) ).
tcf(c_22061,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_125]) ).
tcf(c_22062,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_122]) ).
tcf(c_22063,plain,
( ( sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_121]) ).
tcf(c_22064,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xN)) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_120]) ).
tcf(c_22065,plain,
( ( sdtpldt0(sdtasdt0(xB,xN),sz0z00) = sdtasdt0(xB,xN) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_119]) ).
tcf(c_22235,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21548,c_129]) ).
tcf(c_22236,plain,
( aScalar0(sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21548,c_98]) ).
tcf(c_22237,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_21548,c_141]) ).
tcf(c_22238,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_21548,c_141]) ).
tcf(c_22239,plain,
( aScalar0(sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22236,c_84]) ).
tcf(c_22242,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(sz0z00,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22235,c_84,c_4123]) ).
tcf(c_22246,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_22238,c_84]) ).
tcf(c_22254,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_22237,c_84,c_4123]) ).
tcf(c_22267,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3538]) ).
tcf(c_22268,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3537]) ).
tcf(c_22269,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_11369]) ).
tcf(c_22270,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_10979]) ).
tcf(c_22271,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3753]) ).
tcf(c_22272,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3554]) ).
tcf(c_22273,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))),smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3271]) ).
tcf(c_22274,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3223]) ).
tcf(c_22275,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_7817]) ).
tcf(c_22276,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_7455]) ).
tcf(c_22277,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,smndt0(xN))))) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3108]) ).
tcf(c_22278,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3045]) ).
tcf(c_22279,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3024]) ).
tcf(c_22280,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3087]) ).
tcf(c_22281,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3066]) ).
tcf(c_22282,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_22239,c_131]) ).
tcf(c_22283,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_22239,c_133]) ).
tcf(c_22284,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_22239,c_132]) ).
tcf(c_22285,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_22239,c_136]) ).
tcf(c_22286,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_22239,c_134]) ).
tcf(c_22287,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_22239,c_118]) ).
tcf(c_22288,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_22239,c_117]) ).
tcf(c_22289,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_22239,c_116]) ).
tcf(c_22290,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,smndt0(xN))),sdtasdt0(xB,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_124]) ).
tcf(c_22291,plain,
( ( sdtpldt0(sdtasdt0(xB,smndt0(xN)),smndt0(sdtasdt0(xB,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_123]) ).
tcf(c_22292,plain,
( ( smndt0(smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_125]) ).
tcf(c_22293,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_122]) ).
tcf(c_22294,plain,
( ( sdtasdt0(sdtasdt0(xB,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_121]) ).
tcf(c_22295,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,smndt0(xN))) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_120]) ).
tcf(c_22296,plain,
( ( sdtpldt0(sdtasdt0(xB,smndt0(xN)),sz0z00) = sdtasdt0(xB,smndt0(xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_119]) ).
tcf(c_22419,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xB,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3538]) ).
tcf(c_22420,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xA,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3537]) ).
tcf(c_22421,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_11369]) ).
tcf(c_22422,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_10979]) ).
tcf(c_22423,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xA))) = sdtasdt0(sz0z00,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3753]) ).
tcf(c_22424,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = sdtasdt0(sz0z00,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3554]) ).
tcf(c_22425,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xA))),smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3271]) ).
tcf(c_22426,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),smndt0(smndt0(sdtasdt0(xB,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3223]) ).
tcf(c_22427,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_7817]) ).
tcf(c_22428,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_7455]) ).
tcf(c_22429,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xA)))) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3108]) ).
tcf(c_22430,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3045]) ).
tcf(c_22431,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),sz0z00) = smndt0(sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3024]) ).
tcf(c_22432,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3087]) ).
tcf(c_22433,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3066]) ).
tcf(c_22434,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_21682,c_131]) ).
tcf(c_22435,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_21682,c_133]) ).
tcf(c_22436,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_21682,c_132]) ).
tcf(c_22437,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_21682,c_136]) ).
tcf(c_22438,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_21682,c_134]) ).
tcf(c_22439,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_21682,c_118]) ).
tcf(c_22440,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_21682,c_117]) ).
tcf(c_22441,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_21682,c_116]) ).
tcf(c_22442,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xA)),sdtasdt0(xB,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_124]) ).
tcf(c_22443,plain,
( ( sdtpldt0(sdtasdt0(xB,xA),smndt0(sdtasdt0(xB,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_123]) ).
tcf(c_22444,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_125]) ).
tcf(c_22445,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_122]) ).
tcf(c_22446,plain,
( ( sdtasdt0(sdtasdt0(xB,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_121]) ).
tcf(c_22447,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xA)) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_120]) ).
tcf(c_22448,plain,
( ( sdtpldt0(sdtasdt0(xB,xA),sz0z00) = sdtasdt0(xB,xA) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_119]) ).
tcf(c_22658,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xB,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3538]) ).
tcf(c_22659,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xA,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3537]) ).
tcf(c_22660,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_11369]) ).
tcf(c_22661,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_10979]) ).
tcf(c_22662,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xC))) = sdtasdt0(sz0z00,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3753]) ).
tcf(c_22663,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = sdtasdt0(sz0z00,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3554]) ).
tcf(c_22664,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xC))),smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3271]) ).
tcf(c_22665,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),smndt0(smndt0(sdtasdt0(xB,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3223]) ).
tcf(c_22666,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_7817]) ).
tcf(c_22667,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_7455]) ).
tcf(c_22668,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xC)))) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3108]) ).
tcf(c_22669,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3045]) ).
tcf(c_22670,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),sz0z00) = smndt0(sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3024]) ).
tcf(c_22671,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3087]) ).
tcf(c_22672,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3066]) ).
tcf(c_22673,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_21712,c_131]) ).
tcf(c_22674,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_21712,c_133]) ).
tcf(c_22675,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_21712,c_132]) ).
tcf(c_22676,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_21712,c_136]) ).
tcf(c_22677,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_21712,c_134]) ).
tcf(c_22678,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_21712,c_118]) ).
tcf(c_22679,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_21712,c_117]) ).
tcf(c_22680,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_21712,c_116]) ).
tcf(c_22681,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xC)),sdtasdt0(xB,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_124]) ).
tcf(c_22682,plain,
( ( sdtpldt0(sdtasdt0(xB,xC),smndt0(sdtasdt0(xB,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_123]) ).
tcf(c_22683,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_125]) ).
tcf(c_22684,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_122]) ).
tcf(c_22685,plain,
( ( sdtasdt0(sdtasdt0(xB,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_121]) ).
tcf(c_22686,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xC)) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_120]) ).
tcf(c_22687,plain,
( ( sdtpldt0(sdtasdt0(xB,xC),sz0z00) = sdtasdt0(xB,xC) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_119]) ).
tcf(c_23626,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xB,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3538]) ).
tcf(c_23627,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xA,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3537]) ).
tcf(c_23628,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_11369]) ).
tcf(c_23629,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_10979]) ).
tcf(c_23630,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xD))) = sdtasdt0(sz0z00,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3753]) ).
tcf(c_23631,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = sdtasdt0(sz0z00,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3554]) ).
tcf(c_23632,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xD))),smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3271]) ).
tcf(c_23633,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),smndt0(smndt0(sdtasdt0(xB,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3223]) ).
tcf(c_23634,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_7817]) ).
tcf(c_23635,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_7455]) ).
tcf(c_23636,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xD)))) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3108]) ).
tcf(c_23637,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3045]) ).
tcf(c_23638,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),sz0z00) = smndt0(sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3024]) ).
tcf(c_23639,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3087]) ).
tcf(c_23640,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3066]) ).
tcf(c_23641,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_21742,c_131]) ).
tcf(c_23642,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_21742,c_133]) ).
tcf(c_23643,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_21742,c_132]) ).
tcf(c_23644,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_21742,c_136]) ).
tcf(c_23645,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_21742,c_134]) ).
tcf(c_23646,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_21742,c_118]) ).
tcf(c_23647,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_21742,c_117]) ).
tcf(c_23648,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_21742,c_116]) ).
tcf(c_23649,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xD)),sdtasdt0(xB,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_124]) ).
tcf(c_23650,plain,
( ( sdtpldt0(sdtasdt0(xB,xD),smndt0(sdtasdt0(xB,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_123]) ).
tcf(c_23651,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_125]) ).
tcf(c_23652,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_122]) ).
tcf(c_23653,plain,
( ( sdtasdt0(sdtasdt0(xB,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_121]) ).
tcf(c_23654,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xD)) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_120]) ).
tcf(c_23655,plain,
( ( sdtpldt0(sdtasdt0(xB,xD),sz0z00) = sdtasdt0(xB,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_119]) ).
tcf(c_23794,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xB,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3538]) ).
tcf(c_23795,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xA,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3537]) ).
tcf(c_23796,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_11369]) ).
tcf(c_23797,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_10979]) ).
tcf(c_23798,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xE))) = sdtasdt0(sz0z00,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3753]) ).
tcf(c_23799,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = sdtasdt0(sz0z00,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3554]) ).
tcf(c_23800,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xE))),smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3271]) ).
tcf(c_23801,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),smndt0(smndt0(sdtasdt0(xB,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3223]) ).
tcf(c_23802,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_7817]) ).
tcf(c_23803,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_7455]) ).
tcf(c_23804,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xE)))) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3108]) ).
tcf(c_23805,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3045]) ).
tcf(c_23806,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),sz0z00) = smndt0(sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3024]) ).
tcf(c_23807,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3087]) ).
tcf(c_23808,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3066]) ).
tcf(c_23809,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_21772,c_131]) ).
tcf(c_23810,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_21772,c_133]) ).
tcf(c_23811,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_21772,c_132]) ).
tcf(c_23812,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_21772,c_136]) ).
tcf(c_23813,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_21772,c_134]) ).
tcf(c_23814,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_21772,c_118]) ).
tcf(c_23815,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_21772,c_117]) ).
tcf(c_23816,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_21772,c_116]) ).
tcf(c_23817,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xE)),sdtasdt0(xB,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_124]) ).
tcf(c_23818,plain,
( ( sdtpldt0(sdtasdt0(xB,xE),smndt0(sdtasdt0(xB,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_123]) ).
tcf(c_23819,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_125]) ).
tcf(c_23820,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_122]) ).
tcf(c_23821,plain,
( ( sdtasdt0(sdtasdt0(xB,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_121]) ).
tcf(c_23822,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xE)) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_120]) ).
tcf(c_23823,plain,
( ( sdtpldt0(sdtasdt0(xB,xE),sz0z00) = sdtasdt0(xB,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_119]) ).
tcf(c_23972,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xB,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3538]) ).
tcf(c_23973,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xA,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3537]) ).
tcf(c_23974,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_11369]) ).
tcf(c_23975,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_10979]) ).
tcf(c_23976,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xF))) = sdtasdt0(sz0z00,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3753]) ).
tcf(c_23977,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = sdtasdt0(sz0z00,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3554]) ).
tcf(c_23978,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xF))),smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3271]) ).
tcf(c_23979,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),smndt0(smndt0(sdtasdt0(xB,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3223]) ).
tcf(c_23980,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_7817]) ).
tcf(c_23981,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_7455]) ).
tcf(c_23982,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xF)))) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3108]) ).
tcf(c_23983,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3045]) ).
tcf(c_23984,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),sz0z00) = smndt0(sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3024]) ).
tcf(c_23985,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3087]) ).
tcf(c_23986,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3066]) ).
tcf(c_23987,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_21802,c_131]) ).
tcf(c_23988,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_21802,c_133]) ).
tcf(c_23989,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_21802,c_132]) ).
tcf(c_23990,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_21802,c_136]) ).
tcf(c_23991,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_21802,c_134]) ).
tcf(c_23992,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_21802,c_118]) ).
tcf(c_23993,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_21802,c_117]) ).
tcf(c_23994,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_21802,c_116]) ).
tcf(c_23995,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xF)),sdtasdt0(xB,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_124]) ).
tcf(c_23996,plain,
( ( sdtpldt0(sdtasdt0(xB,xF),smndt0(sdtasdt0(xB,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_123]) ).
tcf(c_23997,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_125]) ).
tcf(c_23998,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_122]) ).
tcf(c_23999,plain,
( ( sdtasdt0(sdtasdt0(xB,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_121]) ).
tcf(c_24000,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xF)) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_120]) ).
tcf(c_24001,plain,
( ( sdtpldt0(sdtasdt0(xB,xF),sz0z00) = sdtasdt0(xB,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_119]) ).
tcf(c_24208,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xB,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3538]) ).
tcf(c_24209,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xA,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3537]) ).
tcf(c_24210,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_11369]) ).
tcf(c_24211,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_10979]) ).
tcf(c_24212,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xG))) = sdtasdt0(sz0z00,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3753]) ).
tcf(c_24213,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = sdtasdt0(sz0z00,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3554]) ).
tcf(c_24214,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xG))),smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3271]) ).
tcf(c_24215,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),smndt0(smndt0(sdtasdt0(xB,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3223]) ).
tcf(c_24216,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_7817]) ).
tcf(c_24217,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_7455]) ).
tcf(c_24218,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xG)))) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3108]) ).
tcf(c_24219,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3045]) ).
tcf(c_24220,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),sz0z00) = smndt0(sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3024]) ).
tcf(c_24221,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3087]) ).
tcf(c_24222,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3066]) ).
tcf(c_24223,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_21832,c_131]) ).
tcf(c_24224,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_21832,c_133]) ).
tcf(c_24225,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_21832,c_132]) ).
tcf(c_24226,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_21832,c_136]) ).
tcf(c_24227,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_21832,c_134]) ).
tcf(c_24228,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_21832,c_118]) ).
tcf(c_24229,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_21832,c_117]) ).
tcf(c_24230,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_21832,c_116]) ).
tcf(c_24231,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xG)),sdtasdt0(xB,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_124]) ).
tcf(c_24232,plain,
( ( sdtpldt0(sdtasdt0(xB,xG),smndt0(sdtasdt0(xB,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_123]) ).
tcf(c_24233,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_125]) ).
tcf(c_24234,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_122]) ).
tcf(c_24235,plain,
( ( sdtasdt0(sdtasdt0(xB,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_121]) ).
tcf(c_24236,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xG)) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_120]) ).
tcf(c_24237,plain,
( ( sdtpldt0(sdtasdt0(xB,xG),sz0z00) = sdtasdt0(xB,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_119]) ).
tcf(c_24445,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xB,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3538]) ).
tcf(c_24446,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xA,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3537]) ).
tcf(c_24447,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_11369]) ).
tcf(c_24448,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_10979]) ).
tcf(c_24449,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xH))) = sdtasdt0(sz0z00,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3753]) ).
tcf(c_24450,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = sdtasdt0(sz0z00,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3554]) ).
tcf(c_24451,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xH))),smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3271]) ).
tcf(c_24452,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),smndt0(smndt0(sdtasdt0(xB,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3223]) ).
tcf(c_24453,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_7817]) ).
tcf(c_24454,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_7455]) ).
tcf(c_24455,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xH)))) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3108]) ).
tcf(c_24456,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3045]) ).
tcf(c_24457,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),sz0z00) = smndt0(sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3024]) ).
tcf(c_24458,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3087]) ).
tcf(c_24459,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3066]) ).
tcf(c_24460,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_21882,c_131]) ).
tcf(c_24461,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_21882,c_133]) ).
tcf(c_24462,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_21882,c_132]) ).
tcf(c_24463,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_21882,c_136]) ).
tcf(c_24464,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_21882,c_134]) ).
tcf(c_24465,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_21882,c_118]) ).
tcf(c_24466,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_21882,c_117]) ).
tcf(c_24467,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_21882,c_116]) ).
tcf(c_24468,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xH)),sdtasdt0(xB,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_124]) ).
tcf(c_24469,plain,
( ( sdtpldt0(sdtasdt0(xB,xH),smndt0(sdtasdt0(xB,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_123]) ).
tcf(c_24470,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_125]) ).
tcf(c_24471,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_122]) ).
tcf(c_24472,plain,
( ( sdtasdt0(sdtasdt0(xB,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_121]) ).
tcf(c_24473,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xH)) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_120]) ).
tcf(c_24474,plain,
( ( sdtpldt0(sdtasdt0(xB,xH),sz0z00) = sdtasdt0(xB,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_119]) ).
tcf(c_24636,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xB,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3538]) ).
tcf(c_24637,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xA,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3537]) ).
tcf(c_24638,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_11369]) ).
tcf(c_24639,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_10979]) ).
tcf(c_24640,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xR))) = sdtasdt0(sz0z00,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3753]) ).
tcf(c_24641,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = sdtasdt0(sz0z00,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3554]) ).
tcf(c_24642,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xR))),smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3271]) ).
tcf(c_24643,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),smndt0(smndt0(sdtasdt0(xB,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3223]) ).
tcf(c_24644,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_7817]) ).
tcf(c_24645,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_7455]) ).
tcf(c_24646,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xR)))) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3108]) ).
tcf(c_24647,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3045]) ).
tcf(c_24648,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),sz0z00) = smndt0(sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3024]) ).
tcf(c_24649,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3087]) ).
tcf(c_24650,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3066]) ).
tcf(c_24651,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_21912,c_131]) ).
tcf(c_24652,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_21912,c_133]) ).
tcf(c_24653,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_21912,c_132]) ).
tcf(c_24654,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_21912,c_136]) ).
tcf(c_24655,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_21912,c_134]) ).
tcf(c_24656,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_21912,c_118]) ).
tcf(c_24657,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_21912,c_117]) ).
tcf(c_24658,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_21912,c_116]) ).
tcf(c_24659,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xR)),sdtasdt0(xB,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_124]) ).
tcf(c_24660,plain,
( ( sdtpldt0(sdtasdt0(xB,xR),smndt0(sdtasdt0(xB,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_123]) ).
tcf(c_24661,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_125]) ).
tcf(c_24662,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_122]) ).
tcf(c_24663,plain,
( ( sdtasdt0(sdtasdt0(xB,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_121]) ).
tcf(c_24664,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xR)) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_120]) ).
tcf(c_24665,plain,
( ( sdtpldt0(sdtasdt0(xB,xR),sz0z00) = sdtasdt0(xB,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_119]) ).
tcf(c_24907,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xB,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3538]) ).
tcf(c_24908,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xA,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3537]) ).
tcf(c_24909,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_11369]) ).
tcf(c_24910,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_10979]) ).
tcf(c_24911,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xP))) = sdtasdt0(sz0z00,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3753]) ).
tcf(c_24912,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = sdtasdt0(sz0z00,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3554]) ).
tcf(c_24913,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xP))),smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3271]) ).
tcf(c_24914,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),smndt0(smndt0(sdtasdt0(xB,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3223]) ).
tcf(c_24915,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_7817]) ).
tcf(c_24916,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_7455]) ).
tcf(c_24917,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xP)))) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3108]) ).
tcf(c_24918,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3045]) ).
tcf(c_24919,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),sz0z00) = smndt0(sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3024]) ).
tcf(c_24920,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3087]) ).
tcf(c_24921,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3066]) ).
tcf(c_24922,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_21943,c_131]) ).
tcf(c_24923,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_21943,c_133]) ).
tcf(c_24924,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_21943,c_132]) ).
tcf(c_24925,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_21943,c_136]) ).
tcf(c_24926,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_21943,c_134]) ).
tcf(c_24927,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_21943,c_118]) ).
tcf(c_24928,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_21943,c_117]) ).
tcf(c_24929,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_21943,c_116]) ).
tcf(c_24930,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xP)),sdtasdt0(xB,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_124]) ).
tcf(c_24931,plain,
( ( sdtpldt0(sdtasdt0(xB,xP),smndt0(sdtasdt0(xB,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_123]) ).
tcf(c_24932,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_125]) ).
tcf(c_24933,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_122]) ).
tcf(c_24934,plain,
( ( sdtasdt0(sdtasdt0(xB,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_121]) ).
tcf(c_24935,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xP)) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_120]) ).
tcf(c_24936,plain,
( ( sdtpldt0(sdtasdt0(xB,xP),sz0z00) = sdtasdt0(xB,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_119]) ).
tcf(c_25083,plain,
( aScalar0(sdtasdt0(xB,xS))
| ~ aScalar0(smndt0(xB)) ),
inference(global_subsumption_just,[status(thm)],[c_21973,c_82,c_15494,c_21973]) ).
tcf(c_25089,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xB,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3538]) ).
tcf(c_25090,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xA,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3537]) ).
tcf(c_25091,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xB,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_11369]) ).
tcf(c_25092,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xB,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_10979]) ).
tcf(c_25093,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xB,xS))) = sdtasdt0(sz0z00,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3753]) ).
tcf(c_25094,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = sdtasdt0(sz0z00,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3554]) ).
tcf(c_25095,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xB,xS))),smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3271]) ).
tcf(c_25096,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),smndt0(smndt0(sdtasdt0(xB,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3223]) ).
tcf(c_25097,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xB,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_7817]) ).
tcf(c_25098,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xB,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_7455]) ).
tcf(c_25099,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xB,xS)))) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3108]) ).
tcf(c_25100,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3045]) ).
tcf(c_25101,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),sz0z00) = smndt0(sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3024]) ).
tcf(c_25102,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3087]) ).
tcf(c_25103,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xB,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3066]) ).
tcf(c_25104,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_25083,c_131]) ).
tcf(c_25105,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_25083,c_133]) ).
tcf(c_25106,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_25083,c_132]) ).
tcf(c_25107,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_25083,c_136]) ).
tcf(c_25108,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_25083,c_134]) ).
tcf(c_25109,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_25083,c_118]) ).
tcf(c_25110,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_25083,c_117]) ).
tcf(c_25111,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_25083,c_116]) ).
tcf(c_25112,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xB,xS)),sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_124]) ).
tcf(c_25113,plain,
( ( sdtpldt0(sdtasdt0(xB,xS),smndt0(sdtasdt0(xB,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_123]) ).
tcf(c_25114,plain,
( ( smndt0(smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_125]) ).
tcf(c_25115,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_122]) ).
tcf(c_25116,plain,
( ( sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_121]) ).
tcf(c_25117,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xB,xS)) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_120]) ).
tcf(c_25118,plain,
( ( sdtpldt0(sdtasdt0(xB,xS),sz0z00) = sdtasdt0(xB,xS) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_119]) ).
tcf(c_25213,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_127,c_22062]) ).
tcf(c_25214,plain,
sdtasdt0(sz0z00,sdtasdt0(xB,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_25213,c_64]) ).
tcf(c_25248,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_25214,c_141]) ).
tcf(c_25249,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_25214,c_141]) ).
tcf(c_25250,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_25249,c_142]) ).
tcf(c_25258,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_25248,c_142]) ).
tcf(c_25270,plain,
( ( sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_127,c_22063]) ).
tcf(c_25271,plain,
sdtasdt0(sdtasdt0(xB,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_25270,c_64]) ).
tcf(c_25274,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_25271,c_141]) ).
tcf(c_25275,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_25271,c_141]) ).
tcf(c_25276,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_25275,c_142]) ).
tcf(c_25284,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_25274,c_142,c_3420]) ).
tcf(c_25295,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_127,c_25115]) ).
tcf(c_25296,plain,
sdtasdt0(sz0z00,sdtasdt0(xB,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_25295,c_64]) ).
tcf(c_25299,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_25296,c_141]) ).
tcf(c_25300,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_25296,c_141]) ).
tcf(c_25301,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_25300,c_142]) ).
tcf(c_25309,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_25299,c_142]) ).
tcf(c_25321,plain,
( ( sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_127,c_25116]) ).
tcf(c_25322,plain,
sdtasdt0(sdtasdt0(xB,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_25321,c_64]) ).
tcf(c_25325,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_25322,c_141]) ).
tcf(c_25326,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_25322,c_141]) ).
tcf(c_25327,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_25326,c_142]) ).
tcf(c_25335,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_25325,c_142,c_3420]) ).
tcf(c_25346,plain,
sdtasdt0(smndt0(xC),smndt0(xA)) = sdtasdt0(xC,xA),
inference(superposition,[status(thm)],[c_62,c_3539]) ).
tcf(c_25347,plain,
sdtasdt0(smndt0(xC),smndt0(xB)) = sdtasdt0(xC,xB),
inference(superposition,[status(thm)],[c_64,c_3539]) ).
tcf(c_25348,plain,
sdtasdt0(smndt0(xC),smndt0(xC)) = sdtasdt0(xC,xC),
inference(superposition,[status(thm)],[c_66,c_3539]) ).
tcf(c_25349,plain,
sdtasdt0(smndt0(xC),smndt0(xD)) = sdtasdt0(xC,xD),
inference(superposition,[status(thm)],[c_68,c_3539]) ).
tcf(c_25350,plain,
sdtasdt0(smndt0(xC),smndt0(xE)) = sdtasdt0(xC,xE),
inference(superposition,[status(thm)],[c_70,c_3539]) ).
tcf(c_25351,plain,
sdtasdt0(smndt0(xC),smndt0(xF)) = sdtasdt0(xC,xF),
inference(superposition,[status(thm)],[c_72,c_3539]) ).
tcf(c_25352,plain,
sdtasdt0(smndt0(xC),smndt0(xG)) = sdtasdt0(xC,xG),
inference(superposition,[status(thm)],[c_74,c_3539]) ).
tcf(c_25353,plain,
sdtasdt0(smndt0(xC),smndt0(xH)) = sdtasdt0(xC,xH),
inference(superposition,[status(thm)],[c_76,c_3539]) ).
tcf(c_25354,plain,
sdtasdt0(smndt0(xC),smndt0(xR)) = sdtasdt0(xC,xR),
inference(superposition,[status(thm)],[c_78,c_3539]) ).
tcf(c_25355,plain,
sdtasdt0(smndt0(xC),smndt0(xP)) = sdtasdt0(xC,xP),
inference(superposition,[status(thm)],[c_80,c_3539]) ).
tcf(c_25356,plain,
sdtasdt0(smndt0(xC),smndt0(xS)) = sdtasdt0(xC,xS),
inference(superposition,[status(thm)],[c_82,c_3539]) ).
tcf(c_25357,plain,
sdtasdt0(smndt0(xC),smndt0(xN)) = sdtasdt0(xC,xN),
inference(superposition,[status(thm)],[c_84,c_3539]) ).
tcf(c_25358,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_98,c_3539]) ).
tcf(c_25359,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_114,c_3539]) ).
tcf(c_25360,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(smndt0(X0))) = sdtasdt0(xC,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3539]) ).
tcf(c_25361,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_138,c_3539]) ).
tcf(c_25362,plain,
sdtasdt0(smndt0(xC),smndt0(sz0z00)) = sdtasdt0(xC,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3539]) ).
tcf(c_25363,plain,
sdtasdt0(smndt0(xC),smndt0(smndt0(xN))) = sdtasdt0(xC,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3539]) ).
tcf(c_25364,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xC,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3539]) ).
tcf(c_25365,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xC,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3539]) ).
tcf(c_25366,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xC,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3539]) ).
tcf(c_25367,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xC,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3539]) ).
tcf(c_25368,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(xC,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3539]) ).
tcf(c_25369,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(xC,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3539]) ).
tcf(c_25370,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(xC,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3539]) ).
tcf(c_25371,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(xC,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3539]) ).
tcf(c_25372,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(xC,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3539]) ).
tcf(c_25373,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(xC,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3539]) ).
tcf(c_25374,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xC,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3539]) ).
tcf(c_25375,plain,
sdtasdt0(smndt0(xC),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xC,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3539]) ).
tcf(c_25376,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xC,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3539]) ).
tcf(c_25377,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xC,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3539]) ).
tcf(c_25378,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xC,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3539]) ).
tcf(c_25379,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xC,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3539]) ).
tcf(c_25380,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xC,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3539]) ).
tcf(c_25381,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xC,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3539]) ).
tcf(c_25382,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xC,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3539]) ).
tcf(c_25383,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xC,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3539]) ).
tcf(c_25384,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xC,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3539]) ).
tcf(c_25385,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xC,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3539]) ).
tcf(c_25386,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3539]) ).
tcf(c_25387,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xC,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3539]) ).
tcf(c_25388,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xC,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3539]) ).
tcf(c_25389,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xC,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3539]) ).
tcf(c_25390,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xC,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3539]) ).
tcf(c_25391,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xC,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3539]) ).
tcf(c_25392,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xC,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3539]) ).
tcf(c_25393,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xC,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3539]) ).
tcf(c_25394,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xC,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3539]) ).
tcf(c_25395,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xC,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3539]) ).
tcf(c_25396,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xC,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3539]) ).
tcf(c_25397,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xC,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3539]) ).
tcf(c_25398,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3539]) ).
tcf(c_25400,plain,
sdtasdt0(smndt0(xC),smndt0(xG)) = xR,
inference(light_normalisation,[status(thm)],[c_25352,c_79]) ).
tcf(c_25401,plain,
sdtasdt0(smndt0(xC),xN) = sdtasdt0(xC,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_25363,c_3107]) ).
tcf(c_25518,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_25400,c_141]) ).
tcf(c_25519,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_25400,c_141]) ).
tcf(c_25538,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_25346,c_129]) ).
tcf(c_25539,plain,
( aScalar0(sdtasdt0(xC,xA))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25346,c_98]) ).
tcf(c_25540,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_25346,c_141]) ).
tcf(c_25541,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_25346,c_141]) ).
tcf(c_25568,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_25347,c_129]) ).
tcf(c_25569,plain,
( aScalar0(sdtasdt0(xC,xB))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25347,c_98]) ).
tcf(c_25570,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_25347,c_141]) ).
tcf(c_25571,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_25347,c_141]) ).
tcf(c_25599,plain,
( aScalar0(sdtasdt0(xC,xC))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25348,c_98]) ).
tcf(c_25600,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_25348,c_141]) ).
tcf(c_25601,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_25348,c_141]) ).
tcf(c_25603,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xC))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25348,c_140]) ).
tcf(c_25604,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_25348,c_139]) ).
tcf(c_25636,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xC,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3539]) ).
tcf(c_25637,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xB,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3538]) ).
tcf(c_25638,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xA,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3537]) ).
tcf(c_25639,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_11369]) ).
tcf(c_25640,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_10979]) ).
tcf(c_25641,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xC))) = sdtasdt0(sz0z00,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3753]) ).
tcf(c_25642,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = sdtasdt0(sz0z00,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3554]) ).
tcf(c_25643,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xC))),smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3271]) ).
tcf(c_25644,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),smndt0(smndt0(sdtasdt0(xC,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3223]) ).
tcf(c_25645,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_7817]) ).
tcf(c_25646,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_7455]) ).
tcf(c_25647,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xC)))) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3108]) ).
tcf(c_25648,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3045]) ).
tcf(c_25649,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),sz0z00) = smndt0(sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3024]) ).
tcf(c_25650,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3087]) ).
tcf(c_25651,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3066]) ).
tcf(c_25652,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_25599,c_131]) ).
tcf(c_25653,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_25599,c_133]) ).
tcf(c_25654,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_25599,c_132]) ).
tcf(c_25655,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_25599,c_136]) ).
tcf(c_25656,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_25599,c_134]) ).
tcf(c_25657,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_25599,c_118]) ).
tcf(c_25658,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_25599,c_117]) ).
tcf(c_25659,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_25599,c_116]) ).
tcf(c_25660,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xC)),sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_124]) ).
tcf(c_25661,plain,
( ( sdtpldt0(sdtasdt0(xC,xC),smndt0(sdtasdt0(xC,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_123]) ).
tcf(c_25662,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_125]) ).
tcf(c_25663,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_122]) ).
tcf(c_25664,plain,
( ( sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_121]) ).
tcf(c_25665,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xC)) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_120]) ).
tcf(c_25666,plain,
( ( sdtpldt0(sdtasdt0(xC,xC),sz0z00) = sdtasdt0(xC,xC) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_119]) ).
tcf(c_25786,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_25603,c_95]) ).
tcf(c_25787,plain,
( ( sdtasdt0(xC,xC) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),sz0z00) ),
inference(superposition,[status(thm)],[c_25603,c_96]) ).
tcf(c_25788,plain,
( ( sdtasdt0(xC,xC) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(sdtasdt0(xC,xC))
| ~ sdtlseqdt0(sdtasdt0(xC,xC),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25787,c_142]) ).
tcf(c_25793,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_25786,c_142]) ).
tcf(c_25799,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_25349,c_129]) ).
tcf(c_25800,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25349,c_98]) ).
tcf(c_25801,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_25349,c_141]) ).
tcf(c_25802,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_25349,c_141]) ).
tcf(c_25959,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_25350,c_129]) ).
tcf(c_25960,plain,
( aScalar0(sdtasdt0(xC,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25350,c_98]) ).
tcf(c_25961,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_25350,c_141]) ).
tcf(c_25962,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_25350,c_141]) ).
tcf(c_25989,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_25351,c_129]) ).
tcf(c_25990,plain,
( aScalar0(sdtasdt0(xC,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25351,c_98]) ).
tcf(c_25991,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_25351,c_141]) ).
tcf(c_25992,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_25351,c_141]) ).
tcf(c_26019,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_25353,c_129]) ).
tcf(c_26020,plain,
( aScalar0(sdtasdt0(xC,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25353,c_98]) ).
tcf(c_26021,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_25353,c_141]) ).
tcf(c_26022,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_25353,c_141]) ).
tcf(c_26080,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_25354,c_129]) ).
tcf(c_26081,plain,
( aScalar0(sdtasdt0(xC,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25354,c_98]) ).
tcf(c_26082,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_25354,c_141]) ).
tcf(c_26083,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_25354,c_141]) ).
tcf(c_26110,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_25355,c_129]) ).
tcf(c_26111,plain,
( aScalar0(sdtasdt0(xC,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25355,c_98]) ).
tcf(c_26112,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_25355,c_141]) ).
tcf(c_26113,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_25355,c_141]) ).
tcf(c_26140,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_25356,c_129]) ).
tcf(c_26141,plain,
( aScalar0(sdtasdt0(xC,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25356,c_98]) ).
tcf(c_26142,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_25356,c_141]) ).
tcf(c_26143,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_25356,c_141]) ).
tcf(c_26170,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_25357,c_129]) ).
tcf(c_26171,plain,
( aScalar0(sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25357,c_98]) ).
tcf(c_26172,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_25357,c_141]) ).
tcf(c_26173,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_25357,c_141]) ).
tcf(c_26174,plain,
( aScalar0(sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26171,c_3847]) ).
tcf(c_26177,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,xN))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26170,c_3847]) ).
tcf(c_26182,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_26173,c_3847]) ).
tcf(c_26190,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_26172,c_3847]) ).
tcf(c_26204,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xC,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3539]) ).
tcf(c_26205,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xB,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3538]) ).
tcf(c_26206,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xA,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3537]) ).
tcf(c_26207,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_11369]) ).
tcf(c_26208,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_10979]) ).
tcf(c_26209,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xN))) = sdtasdt0(sz0z00,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3753]) ).
tcf(c_26210,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = sdtasdt0(sz0z00,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3554]) ).
tcf(c_26211,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xN))),smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3271]) ).
tcf(c_26212,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),smndt0(smndt0(sdtasdt0(xC,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3223]) ).
tcf(c_26213,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_7817]) ).
tcf(c_26214,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_7455]) ).
tcf(c_26215,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xN)))) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3108]) ).
tcf(c_26216,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3045]) ).
tcf(c_26217,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),sz0z00) = smndt0(sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3024]) ).
tcf(c_26218,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3087]) ).
tcf(c_26219,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3066]) ).
tcf(c_26220,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_26174,c_131]) ).
tcf(c_26221,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_26174,c_133]) ).
tcf(c_26222,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_26174,c_132]) ).
tcf(c_26223,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_26174,c_136]) ).
tcf(c_26224,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_26174,c_134]) ).
tcf(c_26225,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_26174,c_118]) ).
tcf(c_26226,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_26174,c_117]) ).
tcf(c_26227,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_26174,c_116]) ).
tcf(c_26228,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xN)),sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_124]) ).
tcf(c_26229,plain,
( ( sdtpldt0(sdtasdt0(xC,xN),smndt0(sdtasdt0(xC,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_123]) ).
tcf(c_26230,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_125]) ).
tcf(c_26231,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_122]) ).
tcf(c_26232,plain,
( ( sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_121]) ).
tcf(c_26233,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xN)) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_120]) ).
tcf(c_26234,plain,
( ( sdtpldt0(sdtasdt0(xC,xN),sz0z00) = sdtasdt0(xC,xN) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_119]) ).
tcf(c_26350,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25401,c_129]) ).
tcf(c_26351,plain,
( aScalar0(sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25401,c_98]) ).
tcf(c_26352,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_25401,c_141]) ).
tcf(c_26353,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_25401,c_141]) ).
tcf(c_26354,plain,
( aScalar0(sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26351,c_84]) ).
tcf(c_26357,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(sz0z00,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26350,c_84,c_4123]) ).
tcf(c_26361,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_26353,c_84]) ).
tcf(c_26369,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_26352,c_84,c_4123]) ).
tcf(c_26382,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3539]) ).
tcf(c_26383,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3538]) ).
tcf(c_26384,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3537]) ).
tcf(c_26385,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_11369]) ).
tcf(c_26386,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_10979]) ).
tcf(c_26387,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3753]) ).
tcf(c_26388,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3554]) ).
tcf(c_26389,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))),smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3271]) ).
tcf(c_26390,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3223]) ).
tcf(c_26391,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_7817]) ).
tcf(c_26392,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_7455]) ).
tcf(c_26393,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,smndt0(xN))))) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3108]) ).
tcf(c_26394,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3045]) ).
tcf(c_26395,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3024]) ).
tcf(c_26396,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3087]) ).
tcf(c_26397,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3066]) ).
tcf(c_26398,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_26354,c_131]) ).
tcf(c_26399,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_26354,c_133]) ).
tcf(c_26400,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_26354,c_132]) ).
tcf(c_26401,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_26354,c_136]) ).
tcf(c_26402,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_26354,c_134]) ).
tcf(c_26403,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_26354,c_118]) ).
tcf(c_26404,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_26354,c_117]) ).
tcf(c_26405,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_26354,c_116]) ).
tcf(c_26406,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,smndt0(xN))),sdtasdt0(xC,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_124]) ).
tcf(c_26407,plain,
( ( sdtpldt0(sdtasdt0(xC,smndt0(xN)),smndt0(sdtasdt0(xC,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_123]) ).
tcf(c_26408,plain,
( ( smndt0(smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_125]) ).
tcf(c_26409,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_122]) ).
tcf(c_26410,plain,
( ( sdtasdt0(sdtasdt0(xC,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_121]) ).
tcf(c_26411,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,smndt0(xN))) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_120]) ).
tcf(c_26412,plain,
( ( sdtpldt0(sdtasdt0(xC,smndt0(xN)),sz0z00) = sdtasdt0(xC,smndt0(xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_119]) ).
tcf(c_26551,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xC,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3539]) ).
tcf(c_26552,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xB,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3538]) ).
tcf(c_26553,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xA,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3537]) ).
tcf(c_26554,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_11369]) ).
tcf(c_26555,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_10979]) ).
tcf(c_26556,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xA))) = sdtasdt0(sz0z00,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3753]) ).
tcf(c_26557,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = sdtasdt0(sz0z00,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3554]) ).
tcf(c_26558,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xA))),smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3271]) ).
tcf(c_26559,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),smndt0(smndt0(sdtasdt0(xC,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3223]) ).
tcf(c_26560,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_7817]) ).
tcf(c_26561,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_7455]) ).
tcf(c_26562,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xA)))) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3108]) ).
tcf(c_26563,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3045]) ).
tcf(c_26564,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),sz0z00) = smndt0(sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3024]) ).
tcf(c_26565,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3087]) ).
tcf(c_26566,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3066]) ).
tcf(c_26567,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_25539,c_131]) ).
tcf(c_26568,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_25539,c_133]) ).
tcf(c_26569,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_25539,c_132]) ).
tcf(c_26570,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_25539,c_136]) ).
tcf(c_26571,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_25539,c_134]) ).
tcf(c_26572,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_25539,c_118]) ).
tcf(c_26573,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_25539,c_117]) ).
tcf(c_26574,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_25539,c_116]) ).
tcf(c_26575,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xA)),sdtasdt0(xC,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_124]) ).
tcf(c_26576,plain,
( ( sdtpldt0(sdtasdt0(xC,xA),smndt0(sdtasdt0(xC,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_123]) ).
tcf(c_26577,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_125]) ).
tcf(c_26578,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_122]) ).
tcf(c_26579,plain,
( ( sdtasdt0(sdtasdt0(xC,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_121]) ).
tcf(c_26580,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xA)) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_120]) ).
tcf(c_26581,plain,
( ( sdtpldt0(sdtasdt0(xC,xA),sz0z00) = sdtasdt0(xC,xA) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_119]) ).
tcf(c_26782,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xC,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3539]) ).
tcf(c_26783,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xB,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3538]) ).
tcf(c_26784,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xA,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3537]) ).
tcf(c_26785,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xB))))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_11369]) ).
tcf(c_26786,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xB)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_10979]) ).
tcf(c_26787,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xB))) = sdtasdt0(sz0z00,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3753]) ).
tcf(c_26788,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = sdtasdt0(sz0z00,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3554]) ).
tcf(c_26789,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xB))),smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3271]) ).
tcf(c_26790,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),smndt0(smndt0(sdtasdt0(xC,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3223]) ).
tcf(c_26791,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_7817]) ).
tcf(c_26792,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xB))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_7455]) ).
tcf(c_26793,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xB)))) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3108]) ).
tcf(c_26794,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3045]) ).
tcf(c_26795,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),sz0z00) = smndt0(sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3024]) ).
tcf(c_26796,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3087]) ).
tcf(c_26797,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xB)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3066]) ).
tcf(c_26798,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_25569,c_131]) ).
tcf(c_26799,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_25569,c_133]) ).
tcf(c_26800,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_25569,c_132]) ).
tcf(c_26801,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_25569,c_136]) ).
tcf(c_26802,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_25569,c_134]) ).
tcf(c_26803,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_25569,c_118]) ).
tcf(c_26804,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_25569,c_117]) ).
tcf(c_26805,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_25569,c_116]) ).
tcf(c_26806,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xB)),sdtasdt0(xC,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_124]) ).
tcf(c_26807,plain,
( ( sdtpldt0(sdtasdt0(xC,xB),smndt0(sdtasdt0(xC,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_123]) ).
tcf(c_26808,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_125]) ).
tcf(c_26809,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_122]) ).
tcf(c_26810,plain,
( ( sdtasdt0(sdtasdt0(xC,xB),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_121]) ).
tcf(c_26811,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xB)) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_120]) ).
tcf(c_26812,plain,
( ( sdtpldt0(sdtasdt0(xC,xB),sz0z00) = sdtasdt0(xC,xB) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_119]) ).
tcf(c_26960,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_25663]) ).
tcf(c_26961,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xC)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_26960,c_66]) ).
tcf(c_26964,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_26961,c_141]) ).
tcf(c_26965,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_26961,c_141]) ).
tcf(c_26966,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_26965,c_142]) ).
tcf(c_26974,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_26964,c_142]) ).
tcf(c_26986,plain,
( ( sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_25664]) ).
tcf(c_26987,plain,
sdtasdt0(sdtasdt0(xC,xC),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_26986,c_66]) ).
tcf(c_26990,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_26987,c_141]) ).
tcf(c_26991,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_26987,c_141]) ).
tcf(c_26992,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_26991,c_142]) ).
tcf(c_27000,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_26990,c_142,c_3420]) ).
tcf(c_27014,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xC,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3539]) ).
tcf(c_27015,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xB,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3538]) ).
tcf(c_27016,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xA,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3537]) ).
tcf(c_27017,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_11369]) ).
tcf(c_27018,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_10979]) ).
tcf(c_27019,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xD))) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3753]) ).
tcf(c_27020,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = sdtasdt0(sz0z00,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3554]) ).
tcf(c_27021,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xD))),smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3271]) ).
tcf(c_27022,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),smndt0(smndt0(sdtasdt0(xC,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3223]) ).
tcf(c_27023,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_7817]) ).
tcf(c_27024,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_7455]) ).
tcf(c_27025,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xD)))) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3108]) ).
tcf(c_27026,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3045]) ).
tcf(c_27027,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),sz0z00) = smndt0(sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3024]) ).
tcf(c_27028,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3087]) ).
tcf(c_27029,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3066]) ).
tcf(c_27030,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_25800,c_131]) ).
tcf(c_27031,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_25800,c_133]) ).
tcf(c_27032,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_25800,c_132]) ).
tcf(c_27033,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_25800,c_136]) ).
tcf(c_27034,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_25800,c_134]) ).
tcf(c_27035,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_25800,c_118]) ).
tcf(c_27036,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_25800,c_117]) ).
tcf(c_27037,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_25800,c_116]) ).
tcf(c_27038,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xD)),sdtasdt0(xC,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_124]) ).
tcf(c_27039,plain,
( ( sdtpldt0(sdtasdt0(xC,xD),smndt0(sdtasdt0(xC,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_123]) ).
tcf(c_27040,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_125]) ).
tcf(c_27041,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_122]) ).
tcf(c_27042,plain,
( ( sdtasdt0(sdtasdt0(xC,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_121]) ).
tcf(c_27043,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xD)) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_120]) ).
tcf(c_27044,plain,
( ( sdtpldt0(sdtasdt0(xC,xD),sz0z00) = sdtasdt0(xC,xD) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_119]) ).
tcf(c_27235,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xC,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3539]) ).
tcf(c_27236,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xB,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3538]) ).
tcf(c_27237,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xA,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3537]) ).
tcf(c_27238,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_11369]) ).
tcf(c_27239,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_10979]) ).
tcf(c_27240,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xE))) = sdtasdt0(sz0z00,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3753]) ).
tcf(c_27241,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = sdtasdt0(sz0z00,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3554]) ).
tcf(c_27242,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xE))),smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3271]) ).
tcf(c_27243,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),smndt0(smndt0(sdtasdt0(xC,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3223]) ).
tcf(c_27244,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_7817]) ).
tcf(c_27245,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_7455]) ).
tcf(c_27246,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xE)))) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3108]) ).
tcf(c_27247,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3045]) ).
tcf(c_27248,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),sz0z00) = smndt0(sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3024]) ).
tcf(c_27249,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3087]) ).
tcf(c_27250,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3066]) ).
tcf(c_27251,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_25960,c_131]) ).
tcf(c_27252,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_25960,c_133]) ).
tcf(c_27253,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_25960,c_132]) ).
tcf(c_27254,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_25960,c_136]) ).
tcf(c_27255,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_25960,c_134]) ).
tcf(c_27256,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_25960,c_118]) ).
tcf(c_27257,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_25960,c_117]) ).
tcf(c_27258,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_25960,c_116]) ).
tcf(c_27259,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xE)),sdtasdt0(xC,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_124]) ).
tcf(c_27260,plain,
( ( sdtpldt0(sdtasdt0(xC,xE),smndt0(sdtasdt0(xC,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_123]) ).
tcf(c_27261,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_125]) ).
tcf(c_27262,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_122]) ).
tcf(c_27263,plain,
( ( sdtasdt0(sdtasdt0(xC,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_121]) ).
tcf(c_27264,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xE)) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_120]) ).
tcf(c_27265,plain,
( ( sdtpldt0(sdtasdt0(xC,xE),sz0z00) = sdtasdt0(xC,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_119]) ).
tcf(c_27494,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xC,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3539]) ).
tcf(c_27495,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xB,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3538]) ).
tcf(c_27496,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xA,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3537]) ).
tcf(c_27497,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_11369]) ).
tcf(c_27498,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_10979]) ).
tcf(c_27499,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xF))) = sdtasdt0(sz0z00,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3753]) ).
tcf(c_27500,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = sdtasdt0(sz0z00,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3554]) ).
tcf(c_27501,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xF))),smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3271]) ).
tcf(c_27502,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),smndt0(smndt0(sdtasdt0(xC,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3223]) ).
tcf(c_27503,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_7817]) ).
tcf(c_27504,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_7455]) ).
tcf(c_27505,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xF)))) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3108]) ).
tcf(c_27506,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3045]) ).
tcf(c_27507,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),sz0z00) = smndt0(sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3024]) ).
tcf(c_27508,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3087]) ).
tcf(c_27509,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3066]) ).
tcf(c_27510,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_25990,c_131]) ).
tcf(c_27511,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_25990,c_133]) ).
tcf(c_27512,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_25990,c_132]) ).
tcf(c_27513,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_25990,c_136]) ).
tcf(c_27514,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_25990,c_134]) ).
tcf(c_27515,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_25990,c_118]) ).
tcf(c_27516,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_25990,c_117]) ).
tcf(c_27517,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_25990,c_116]) ).
tcf(c_27518,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xF)),sdtasdt0(xC,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_124]) ).
tcf(c_27519,plain,
( ( sdtpldt0(sdtasdt0(xC,xF),smndt0(sdtasdt0(xC,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_123]) ).
tcf(c_27520,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_125]) ).
tcf(c_27521,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_122]) ).
tcf(c_27522,plain,
( ( sdtasdt0(sdtasdt0(xC,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_121]) ).
tcf(c_27523,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xF)) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_120]) ).
tcf(c_27524,plain,
( ( sdtpldt0(sdtasdt0(xC,xF),sz0z00) = sdtasdt0(xC,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_119]) ).
tcf(c_27760,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xC,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3539]) ).
tcf(c_27761,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xB,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3538]) ).
tcf(c_27762,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xA,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3537]) ).
tcf(c_27763,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_11369]) ).
tcf(c_27764,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_10979]) ).
tcf(c_27765,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xH))) = sdtasdt0(sz0z00,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3753]) ).
tcf(c_27766,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = sdtasdt0(sz0z00,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3554]) ).
tcf(c_27767,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xH))),smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3271]) ).
tcf(c_27768,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),smndt0(smndt0(sdtasdt0(xC,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3223]) ).
tcf(c_27769,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_7817]) ).
tcf(c_27770,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_7455]) ).
tcf(c_27771,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xH)))) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3108]) ).
tcf(c_27772,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3045]) ).
tcf(c_27773,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),sz0z00) = smndt0(sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3024]) ).
tcf(c_27774,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3087]) ).
tcf(c_27775,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3066]) ).
tcf(c_27776,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_26020,c_131]) ).
tcf(c_27777,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_26020,c_133]) ).
tcf(c_27778,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_26020,c_132]) ).
tcf(c_27779,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_26020,c_136]) ).
tcf(c_27780,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_26020,c_134]) ).
tcf(c_27781,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_26020,c_118]) ).
tcf(c_27782,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_26020,c_117]) ).
tcf(c_27783,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_26020,c_116]) ).
tcf(c_27784,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xH)),sdtasdt0(xC,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_124]) ).
tcf(c_27785,plain,
( ( sdtpldt0(sdtasdt0(xC,xH),smndt0(sdtasdt0(xC,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_123]) ).
tcf(c_27786,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_125]) ).
tcf(c_27787,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_122]) ).
tcf(c_27788,plain,
( ( sdtasdt0(sdtasdt0(xC,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_121]) ).
tcf(c_27789,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xH)) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_120]) ).
tcf(c_27790,plain,
( ( sdtpldt0(sdtasdt0(xC,xH),sz0z00) = sdtasdt0(xC,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_119]) ).
tcf(c_28051,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xC,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3539]) ).
tcf(c_28052,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xB,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3538]) ).
tcf(c_28053,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xA,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3537]) ).
tcf(c_28054,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_11369]) ).
tcf(c_28055,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_10979]) ).
tcf(c_28056,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xR))) = sdtasdt0(sz0z00,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3753]) ).
tcf(c_28057,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = sdtasdt0(sz0z00,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3554]) ).
tcf(c_28058,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xR))),smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3271]) ).
tcf(c_28059,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),smndt0(smndt0(sdtasdt0(xC,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3223]) ).
tcf(c_28060,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_7817]) ).
tcf(c_28061,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_7455]) ).
tcf(c_28062,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xR)))) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3108]) ).
tcf(c_28063,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3045]) ).
tcf(c_28064,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),sz0z00) = smndt0(sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3024]) ).
tcf(c_28065,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3087]) ).
tcf(c_28066,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3066]) ).
tcf(c_28067,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_26081,c_131]) ).
tcf(c_28068,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_26081,c_133]) ).
tcf(c_28069,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_26081,c_132]) ).
tcf(c_28070,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_26081,c_136]) ).
tcf(c_28071,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_26081,c_134]) ).
tcf(c_28072,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_26081,c_118]) ).
tcf(c_28073,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_26081,c_117]) ).
tcf(c_28074,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_26081,c_116]) ).
tcf(c_28075,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xR)),sdtasdt0(xC,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_124]) ).
tcf(c_28076,plain,
( ( sdtpldt0(sdtasdt0(xC,xR),smndt0(sdtasdt0(xC,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_123]) ).
tcf(c_28077,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_125]) ).
tcf(c_28078,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_122]) ).
tcf(c_28079,plain,
( ( sdtasdt0(sdtasdt0(xC,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_121]) ).
tcf(c_28080,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xR)) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_120]) ).
tcf(c_28081,plain,
( ( sdtpldt0(sdtasdt0(xC,xR),sz0z00) = sdtasdt0(xC,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_119]) ).
tcf(c_28259,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xC,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3539]) ).
tcf(c_28260,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xB,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3538]) ).
tcf(c_28261,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xA,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3537]) ).
tcf(c_28262,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_11369]) ).
tcf(c_28263,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_10979]) ).
tcf(c_28264,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xP))) = sdtasdt0(sz0z00,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3753]) ).
tcf(c_28265,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = sdtasdt0(sz0z00,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3554]) ).
tcf(c_28266,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xP))),smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3271]) ).
tcf(c_28267,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),smndt0(smndt0(sdtasdt0(xC,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3223]) ).
tcf(c_28268,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_7817]) ).
tcf(c_28269,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_7455]) ).
tcf(c_28270,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xP)))) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3108]) ).
tcf(c_28271,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3045]) ).
tcf(c_28272,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),sz0z00) = smndt0(sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3024]) ).
tcf(c_28273,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3087]) ).
tcf(c_28274,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3066]) ).
tcf(c_28275,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_26111,c_131]) ).
tcf(c_28276,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_26111,c_133]) ).
tcf(c_28277,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_26111,c_132]) ).
tcf(c_28278,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_26111,c_136]) ).
tcf(c_28279,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_26111,c_134]) ).
tcf(c_28280,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_26111,c_118]) ).
tcf(c_28281,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_26111,c_117]) ).
tcf(c_28282,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_26111,c_116]) ).
tcf(c_28283,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xP)),sdtasdt0(xC,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_124]) ).
tcf(c_28284,plain,
( ( sdtpldt0(sdtasdt0(xC,xP),smndt0(sdtasdt0(xC,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_123]) ).
tcf(c_28285,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_125]) ).
tcf(c_28286,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_122]) ).
tcf(c_28287,plain,
( ( sdtasdt0(sdtasdt0(xC,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_121]) ).
tcf(c_28288,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xP)) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_120]) ).
tcf(c_28289,plain,
( ( sdtpldt0(sdtasdt0(xC,xP),sz0z00) = sdtasdt0(xC,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_119]) ).
tcf(c_28498,plain,
( aScalar0(sdtasdt0(xC,xS))
| ~ aScalar0(smndt0(xC)) ),
inference(global_subsumption_just,[status(thm)],[c_26141,c_82,c_15494,c_26141]) ).
tcf(c_28504,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xC,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3539]) ).
tcf(c_28505,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xB,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3538]) ).
tcf(c_28506,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xA,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3537]) ).
tcf(c_28507,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xC,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_11369]) ).
tcf(c_28508,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xC,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_10979]) ).
tcf(c_28509,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xC,xS))) = sdtasdt0(sz0z00,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3753]) ).
tcf(c_28510,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = sdtasdt0(sz0z00,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3554]) ).
tcf(c_28511,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xC,xS))),smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3271]) ).
tcf(c_28512,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),smndt0(smndt0(sdtasdt0(xC,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3223]) ).
tcf(c_28513,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xC,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_7817]) ).
tcf(c_28514,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xC,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_7455]) ).
tcf(c_28515,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xC,xS)))) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3108]) ).
tcf(c_28516,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3045]) ).
tcf(c_28517,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),sz0z00) = smndt0(sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3024]) ).
tcf(c_28518,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3087]) ).
tcf(c_28519,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xC,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3066]) ).
tcf(c_28520,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_28498,c_131]) ).
tcf(c_28521,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_28498,c_133]) ).
tcf(c_28522,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_28498,c_132]) ).
tcf(c_28523,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_28498,c_136]) ).
tcf(c_28524,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_28498,c_134]) ).
tcf(c_28525,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_28498,c_118]) ).
tcf(c_28526,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_28498,c_117]) ).
tcf(c_28527,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_28498,c_116]) ).
tcf(c_28528,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xC,xS)),sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_124]) ).
tcf(c_28529,plain,
( ( sdtpldt0(sdtasdt0(xC,xS),smndt0(sdtasdt0(xC,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_123]) ).
tcf(c_28530,plain,
( ( smndt0(smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_125]) ).
tcf(c_28531,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_122]) ).
tcf(c_28532,plain,
( ( sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_121]) ).
tcf(c_28533,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xC,xS)) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_120]) ).
tcf(c_28534,plain,
( ( sdtpldt0(sdtasdt0(xC,xS),sz0z00) = sdtasdt0(xC,xS) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_119]) ).
tcf(c_28846,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_26231]) ).
tcf(c_28847,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28846,c_66]) ).
tcf(c_28850,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_28847,c_141]) ).
tcf(c_28851,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_28847,c_141]) ).
tcf(c_28852,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_28851,c_142]) ).
tcf(c_28860,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_28850,c_142]) ).
tcf(c_28892,plain,
( ( sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_26232]) ).
tcf(c_28893,plain,
sdtasdt0(sdtasdt0(xC,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28892,c_66]) ).
tcf(c_28896,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_28893,c_141]) ).
tcf(c_28897,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_28893,c_141]) ).
tcf(c_28898,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_28897,c_142]) ).
tcf(c_28906,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_28896,c_142,c_3420]) ).
tcf(c_28917,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_28531]) ).
tcf(c_28918,plain,
sdtasdt0(sz0z00,sdtasdt0(xC,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28917,c_66]) ).
tcf(c_28921,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_28918,c_141]) ).
tcf(c_28922,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_28918,c_141]) ).
tcf(c_28923,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_28922,c_142]) ).
tcf(c_28931,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_28921,c_142]) ).
tcf(c_28943,plain,
( ( sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_127,c_28532]) ).
tcf(c_28944,plain,
sdtasdt0(sdtasdt0(xC,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_28943,c_66]) ).
tcf(c_28947,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_28944,c_141]) ).
tcf(c_28948,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_28944,c_141]) ).
tcf(c_28949,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_28948,c_142]) ).
tcf(c_28957,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_28947,c_142,c_3420]) ).
tcf(c_28988,plain,
sdtasdt0(smndt0(xD),smndt0(xA)) = sdtasdt0(xD,xA),
inference(superposition,[status(thm)],[c_62,c_3540]) ).
tcf(c_28989,plain,
sdtasdt0(smndt0(xD),smndt0(xB)) = sdtasdt0(xD,xB),
inference(superposition,[status(thm)],[c_64,c_3540]) ).
tcf(c_28990,plain,
sdtasdt0(smndt0(xD),smndt0(xC)) = sdtasdt0(xD,xC),
inference(superposition,[status(thm)],[c_66,c_3540]) ).
tcf(c_28991,plain,
sdtasdt0(smndt0(xD),smndt0(xD)) = sdtasdt0(xD,xD),
inference(superposition,[status(thm)],[c_68,c_3540]) ).
tcf(c_28992,plain,
sdtasdt0(smndt0(xD),smndt0(xE)) = sdtasdt0(xD,xE),
inference(superposition,[status(thm)],[c_70,c_3540]) ).
tcf(c_28993,plain,
sdtasdt0(smndt0(xD),smndt0(xF)) = sdtasdt0(xD,xF),
inference(superposition,[status(thm)],[c_72,c_3540]) ).
tcf(c_28994,plain,
sdtasdt0(smndt0(xD),smndt0(xG)) = sdtasdt0(xD,xG),
inference(superposition,[status(thm)],[c_74,c_3540]) ).
tcf(c_28995,plain,
sdtasdt0(smndt0(xD),smndt0(xH)) = sdtasdt0(xD,xH),
inference(superposition,[status(thm)],[c_76,c_3540]) ).
tcf(c_28996,plain,
sdtasdt0(smndt0(xD),smndt0(xR)) = sdtasdt0(xD,xR),
inference(superposition,[status(thm)],[c_78,c_3540]) ).
tcf(c_28997,plain,
sdtasdt0(smndt0(xD),smndt0(xP)) = sdtasdt0(xD,xP),
inference(superposition,[status(thm)],[c_80,c_3540]) ).
tcf(c_28998,plain,
sdtasdt0(smndt0(xD),smndt0(xS)) = sdtasdt0(xD,xS),
inference(superposition,[status(thm)],[c_82,c_3540]) ).
tcf(c_28999,plain,
sdtasdt0(smndt0(xD),smndt0(xN)) = sdtasdt0(xD,xN),
inference(superposition,[status(thm)],[c_84,c_3540]) ).
tcf(c_29000,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_98,c_3540]) ).
tcf(c_29001,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_114,c_3540]) ).
tcf(c_29002,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(smndt0(X0))) = sdtasdt0(xD,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3540]) ).
tcf(c_29003,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_138,c_3540]) ).
tcf(c_29004,plain,
sdtasdt0(smndt0(xD),smndt0(sz0z00)) = sdtasdt0(xD,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3540]) ).
tcf(c_29005,plain,
sdtasdt0(smndt0(xD),smndt0(smndt0(xN))) = sdtasdt0(xD,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3540]) ).
tcf(c_29006,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xD,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3540]) ).
tcf(c_29007,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xD,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3540]) ).
tcf(c_29008,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xD,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3540]) ).
tcf(c_29009,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xD,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3540]) ).
tcf(c_29010,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xD,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3540]) ).
tcf(c_29011,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(xD,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3540]) ).
tcf(c_29012,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(xD,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3540]) ).
tcf(c_29013,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(xD,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3540]) ).
tcf(c_29014,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(xD,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3540]) ).
tcf(c_29015,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(xD,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3540]) ).
tcf(c_29016,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(xD,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3540]) ).
tcf(c_29017,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xD,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3540]) ).
tcf(c_29018,plain,
sdtasdt0(smndt0(xD),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xD,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3540]) ).
tcf(c_29019,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xD,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3540]) ).
tcf(c_29020,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xD,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3540]) ).
tcf(c_29021,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xD,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3540]) ).
tcf(c_29022,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xD,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3540]) ).
tcf(c_29023,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xD,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3540]) ).
tcf(c_29024,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xD,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3540]) ).
tcf(c_29025,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xD,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3540]) ).
tcf(c_29026,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xD,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3540]) ).
tcf(c_29027,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xD,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3540]) ).
tcf(c_29028,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xD,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3540]) ).
tcf(c_29029,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3540]) ).
tcf(c_29030,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xD,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3540]) ).
tcf(c_29031,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xD,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3540]) ).
tcf(c_29032,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xD,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3540]) ).
tcf(c_29033,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xD,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3540]) ).
tcf(c_29034,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xD,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3540]) ).
tcf(c_29035,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xD,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3540]) ).
tcf(c_29036,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xD,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3540]) ).
tcf(c_29037,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xD,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3540]) ).
tcf(c_29038,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xD,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3540]) ).
tcf(c_29039,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xD,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3540]) ).
tcf(c_29040,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xD,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3540]) ).
tcf(c_29041,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3540]) ).
tcf(c_29042,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xD,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3540]) ).
tcf(c_29043,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xD,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3540]) ).
tcf(c_29044,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xD,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3540]) ).
tcf(c_29045,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xD,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3540]) ).
tcf(c_29046,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xD,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3540]) ).
tcf(c_29047,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xD,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3540]) ).
tcf(c_29048,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xD,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3540]) ).
tcf(c_29049,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xD,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3540]) ).
tcf(c_29050,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xD,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3540]) ).
tcf(c_29051,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xD,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3540]) ).
tcf(c_29052,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3540]) ).
tcf(c_29054,plain,
sdtasdt0(smndt0(xD),xN) = sdtasdt0(xD,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_29005,c_3107]) ).
tcf(c_29423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sdtpldt0(X1,X0))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_14027,c_130]) ).
tcf(c_29424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_14027,c_130]) ).
tcf(c_29425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29424,c_142]) ).
tcf(c_29432,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29423,c_142]) ).
tcf(c_29441,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_28988,c_129]) ).
tcf(c_29442,plain,
( aScalar0(sdtasdt0(xD,xA))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_28988,c_98]) ).
tcf(c_29443,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_28988,c_141]) ).
tcf(c_29444,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_28988,c_141]) ).
tcf(c_29490,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_28989,c_129]) ).
tcf(c_29491,plain,
( aScalar0(sdtasdt0(xD,xB))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_28989,c_98]) ).
tcf(c_29492,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_28989,c_141]) ).
tcf(c_29493,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_28989,c_141]) ).
tcf(c_29525,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_28990,c_129]) ).
tcf(c_29526,plain,
( aScalar0(sdtasdt0(xD,xC))
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28990,c_98]) ).
tcf(c_29527,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_28990,c_141]) ).
tcf(c_29528,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_28990,c_141]) ).
tcf(c_29579,plain,
( aScalar0(sdtasdt0(xD,xD))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28991,c_98]) ).
tcf(c_29580,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_28991,c_141]) ).
tcf(c_29581,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_28991,c_141]) ).
tcf(c_29583,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xD))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28991,c_140]) ).
tcf(c_29584,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_28991,c_139]) ).
tcf(c_29654,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xD,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3540]) ).
tcf(c_29655,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xC,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3539]) ).
tcf(c_29656,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xB,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3538]) ).
tcf(c_29657,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xA,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3537]) ).
tcf(c_29658,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xD))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_11369]) ).
tcf(c_29659,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xD)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_10979]) ).
tcf(c_29660,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xD))) = sdtasdt0(sz0z00,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3753]) ).
tcf(c_29661,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = sdtasdt0(sz0z00,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3554]) ).
tcf(c_29662,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xD))),smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3271]) ).
tcf(c_29663,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),smndt0(smndt0(sdtasdt0(xD,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3223]) ).
tcf(c_29664,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xD)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_7817]) ).
tcf(c_29665,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xD))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_7455]) ).
tcf(c_29666,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xD)))) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3108]) ).
tcf(c_29667,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3045]) ).
tcf(c_29668,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),sz0z00) = smndt0(sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3024]) ).
tcf(c_29669,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3087]) ).
tcf(c_29670,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xD)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3066]) ).
tcf(c_29671,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_29579,c_131]) ).
tcf(c_29672,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_29579,c_133]) ).
tcf(c_29673,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_29579,c_132]) ).
tcf(c_29674,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_29579,c_136]) ).
tcf(c_29675,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_29579,c_134]) ).
tcf(c_29676,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_29579,c_118]) ).
tcf(c_29677,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_29579,c_117]) ).
tcf(c_29678,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_29579,c_116]) ).
tcf(c_29679,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xD)),sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_124]) ).
tcf(c_29680,plain,
( ( sdtpldt0(sdtasdt0(xD,xD),smndt0(sdtasdt0(xD,xD))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_123]) ).
tcf(c_29681,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_125]) ).
tcf(c_29682,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_122]) ).
tcf(c_29683,plain,
( ( sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_121]) ).
tcf(c_29684,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xD)) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_120]) ).
tcf(c_29685,plain,
( ( sdtpldt0(sdtasdt0(xD,xD),sz0z00) = sdtasdt0(xD,xD) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_119]) ).
tcf(c_29934,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_29583,c_95]) ).
tcf(c_29935,plain,
( ( sdtasdt0(xD,xD) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),sz0z00) ),
inference(superposition,[status(thm)],[c_29583,c_96]) ).
tcf(c_29936,plain,
( ( sdtasdt0(xD,xD) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(sdtasdt0(xD,xD))
| ~ sdtlseqdt0(sdtasdt0(xD,xD),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29935,c_142]) ).
tcf(c_29941,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_29934,c_142]) ).
tcf(c_29959,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_28992,c_129]) ).
tcf(c_29960,plain,
( aScalar0(sdtasdt0(xD,xE))
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28992,c_98]) ).
tcf(c_29961,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_28992,c_141]) ).
tcf(c_29962,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_28992,c_141]) ).
tcf(c_29989,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_28993,c_129]) ).
tcf(c_29990,plain,
( aScalar0(sdtasdt0(xD,xF))
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28993,c_98]) ).
tcf(c_29991,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_28993,c_141]) ).
tcf(c_29992,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_28993,c_141]) ).
tcf(c_30081,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_28994,c_129]) ).
tcf(c_30082,plain,
( aScalar0(sdtasdt0(xD,xG))
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28994,c_98]) ).
tcf(c_30083,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_28994,c_141]) ).
tcf(c_30084,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_28994,c_141]) ).
tcf(c_30111,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_28995,c_129]) ).
tcf(c_30112,plain,
( aScalar0(sdtasdt0(xD,xH))
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28995,c_98]) ).
tcf(c_30113,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_28995,c_141]) ).
tcf(c_30114,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_28995,c_141]) ).
tcf(c_30141,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_28996,c_129]) ).
tcf(c_30142,plain,
( aScalar0(sdtasdt0(xD,xR))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28996,c_98]) ).
tcf(c_30143,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_28996,c_141]) ).
tcf(c_30144,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_28996,c_141]) ).
tcf(c_30171,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_28997,c_129]) ).
tcf(c_30172,plain,
( aScalar0(sdtasdt0(xD,xP))
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28997,c_98]) ).
tcf(c_30173,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_28997,c_141]) ).
tcf(c_30174,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_28997,c_141]) ).
tcf(c_30221,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_28998,c_129]) ).
tcf(c_30222,plain,
( aScalar0(sdtasdt0(xD,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28998,c_98]) ).
tcf(c_30223,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_28998,c_141]) ).
tcf(c_30224,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_28998,c_141]) ).
tcf(c_30271,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_28999,c_129]) ).
tcf(c_30272,plain,
( aScalar0(sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_28999,c_98]) ).
tcf(c_30273,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_28999,c_141]) ).
tcf(c_30274,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_28999,c_141]) ).
tcf(c_30275,plain,
( aScalar0(sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30272,c_3847]) ).
tcf(c_30278,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,xN))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30271,c_3847]) ).
tcf(c_30283,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_30274,c_3847]) ).
tcf(c_30291,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_30273,c_3847]) ).
tcf(c_30305,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xD,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3540]) ).
tcf(c_30306,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xC,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3539]) ).
tcf(c_30307,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xB,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3538]) ).
tcf(c_30308,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xA,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3537]) ).
tcf(c_30309,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_11369]) ).
tcf(c_30310,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_10979]) ).
tcf(c_30311,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xN))) = sdtasdt0(sz0z00,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3753]) ).
tcf(c_30312,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = sdtasdt0(sz0z00,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3554]) ).
tcf(c_30313,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xN))),smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3271]) ).
tcf(c_30314,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),smndt0(smndt0(sdtasdt0(xD,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3223]) ).
tcf(c_30315,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_7817]) ).
tcf(c_30316,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_7455]) ).
tcf(c_30317,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xN)))) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3108]) ).
tcf(c_30318,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3045]) ).
tcf(c_30319,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),sz0z00) = smndt0(sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3024]) ).
tcf(c_30320,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3087]) ).
tcf(c_30321,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3066]) ).
tcf(c_30322,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_30275,c_131]) ).
tcf(c_30323,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_30275,c_133]) ).
tcf(c_30324,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_30275,c_132]) ).
tcf(c_30325,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_30275,c_136]) ).
tcf(c_30326,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_30275,c_134]) ).
tcf(c_30327,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_30275,c_118]) ).
tcf(c_30328,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_30275,c_117]) ).
tcf(c_30329,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_30275,c_116]) ).
tcf(c_30330,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xN)),sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_124]) ).
tcf(c_30331,plain,
( ( sdtpldt0(sdtasdt0(xD,xN),smndt0(sdtasdt0(xD,xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_123]) ).
tcf(c_30332,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_125]) ).
tcf(c_30333,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_122]) ).
tcf(c_30334,plain,
( ( sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_121]) ).
tcf(c_30335,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xN)) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_120]) ).
tcf(c_30336,plain,
( ( sdtpldt0(sdtasdt0(xD,xN),sz0z00) = sdtasdt0(xD,xN) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_119]) ).
tcf(c_30668,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29054,c_129]) ).
tcf(c_30669,plain,
( aScalar0(sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29054,c_98]) ).
tcf(c_30670,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_29054,c_141]) ).
tcf(c_30671,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_29054,c_141]) ).
tcf(c_30672,plain,
( aScalar0(sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30669,c_84]) ).
tcf(c_30675,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(sz0z00,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30668,c_84,c_4123]) ).
tcf(c_30679,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_30671,c_84]) ).
tcf(c_30687,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_30670,c_84,c_4123]) ).
tcf(c_30755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_14028,c_130]) ).
tcf(c_30756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_14028,c_130]) ).
tcf(c_30757,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30756,c_142]) ).
tcf(c_30764,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30755,c_142]) ).
tcf(c_30775,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xD,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3540]) ).
tcf(c_30776,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xC,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3539]) ).
tcf(c_30777,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xB,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3538]) ).
tcf(c_30778,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xA,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3537]) ).
tcf(c_30779,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_11369]) ).
tcf(c_30780,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_10979]) ).
tcf(c_30781,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3753]) ).
tcf(c_30782,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3554]) ).
tcf(c_30783,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))),smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3271]) ).
tcf(c_30784,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3223]) ).
tcf(c_30785,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_7817]) ).
tcf(c_30786,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_7455]) ).
tcf(c_30787,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,smndt0(xN))))) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3108]) ).
tcf(c_30788,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3045]) ).
tcf(c_30789,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),sz0z00) = smndt0(sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3024]) ).
tcf(c_30790,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3087]) ).
tcf(c_30791,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,smndt0(xN))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3066]) ).
tcf(c_30792,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_30672,c_131]) ).
tcf(c_30793,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_30672,c_133]) ).
tcf(c_30794,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_30672,c_132]) ).
tcf(c_30795,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_30672,c_136]) ).
tcf(c_30796,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_30672,c_134]) ).
tcf(c_30797,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_30672,c_118]) ).
tcf(c_30798,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_30672,c_117]) ).
tcf(c_30799,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_30672,c_116]) ).
tcf(c_30800,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,smndt0(xN))),sdtasdt0(xD,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_124]) ).
tcf(c_30801,plain,
( ( sdtpldt0(sdtasdt0(xD,smndt0(xN)),smndt0(sdtasdt0(xD,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_123]) ).
tcf(c_30802,plain,
( ( smndt0(smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_125]) ).
tcf(c_30803,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,smndt0(xN))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_122]) ).
tcf(c_30804,plain,
( ( sdtasdt0(sdtasdt0(xD,smndt0(xN)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_121]) ).
tcf(c_30805,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,smndt0(xN))) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_120]) ).
tcf(c_30806,plain,
( ( sdtpldt0(sdtasdt0(xD,smndt0(xN)),sz0z00) = sdtasdt0(xD,smndt0(xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_119]) ).
tcf(c_30953,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xD,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3540]) ).
tcf(c_30954,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xC,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3539]) ).
tcf(c_30955,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xB,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3538]) ).
tcf(c_30956,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xA,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3537]) ).
tcf(c_30957,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xA))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_11369]) ).
tcf(c_30958,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xA)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_10979]) ).
tcf(c_30959,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xA))) = sdtasdt0(sz0z00,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3753]) ).
tcf(c_30960,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = sdtasdt0(sz0z00,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3554]) ).
tcf(c_30961,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xA))),smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3271]) ).
tcf(c_30962,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),smndt0(smndt0(sdtasdt0(xD,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3223]) ).
tcf(c_30963,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xA)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_7817]) ).
tcf(c_30964,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xA))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_7455]) ).
tcf(c_30965,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xA)))) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3108]) ).
tcf(c_30966,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3045]) ).
tcf(c_30967,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),sz0z00) = smndt0(sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3024]) ).
tcf(c_30968,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3087]) ).
tcf(c_30969,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xA)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3066]) ).
tcf(c_30970,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_29442,c_131]) ).
tcf(c_30971,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_29442,c_133]) ).
tcf(c_30972,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_29442,c_132]) ).
tcf(c_30973,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_29442,c_136]) ).
tcf(c_30974,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_29442,c_134]) ).
tcf(c_30975,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_29442,c_118]) ).
tcf(c_30976,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_29442,c_117]) ).
tcf(c_30977,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_29442,c_116]) ).
tcf(c_30978,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xA)),sdtasdt0(xD,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_124]) ).
tcf(c_30979,plain,
( ( sdtpldt0(sdtasdt0(xD,xA),smndt0(sdtasdt0(xD,xA))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_123]) ).
tcf(c_30980,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_125]) ).
tcf(c_30981,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xA)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_122]) ).
tcf(c_30982,plain,
( ( sdtasdt0(sdtasdt0(xD,xA),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_121]) ).
tcf(c_30983,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xA)) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_120]) ).
tcf(c_30984,plain,
( ( sdtpldt0(sdtasdt0(xD,xA),sz0z00) = sdtasdt0(xD,xA) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_119]) ).
tcf(c_31239,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xD,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3540]) ).
tcf(c_31240,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xC,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3539]) ).
tcf(c_31241,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xB,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3538]) ).
tcf(c_31242,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xA,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3537]) ).
tcf(c_31243,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xB))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_11369]) ).
tcf(c_31244,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xB)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_10979]) ).
tcf(c_31245,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xB))) = sdtasdt0(sz0z00,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3753]) ).
tcf(c_31246,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = sdtasdt0(sz0z00,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3554]) ).
tcf(c_31247,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xB))),smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3271]) ).
tcf(c_31248,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),smndt0(smndt0(sdtasdt0(xD,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3223]) ).
tcf(c_31249,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xB)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_7817]) ).
tcf(c_31250,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xB))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_7455]) ).
tcf(c_31251,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xB)))) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3108]) ).
tcf(c_31252,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3045]) ).
tcf(c_31253,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),sz0z00) = smndt0(sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3024]) ).
tcf(c_31254,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3087]) ).
tcf(c_31255,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xB)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3066]) ).
tcf(c_31256,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_29491,c_131]) ).
tcf(c_31257,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_29491,c_133]) ).
tcf(c_31258,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_29491,c_132]) ).
tcf(c_31259,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_29491,c_136]) ).
tcf(c_31260,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_29491,c_134]) ).
tcf(c_31261,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_29491,c_118]) ).
tcf(c_31262,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_29491,c_117]) ).
tcf(c_31263,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_29491,c_116]) ).
tcf(c_31264,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xB)),sdtasdt0(xD,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_124]) ).
tcf(c_31265,plain,
( ( sdtpldt0(sdtasdt0(xD,xB),smndt0(sdtasdt0(xD,xB))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_123]) ).
tcf(c_31266,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_125]) ).
tcf(c_31267,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xB)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_122]) ).
tcf(c_31268,plain,
( ( sdtasdt0(sdtasdt0(xD,xB),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_121]) ).
tcf(c_31269,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xB)) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_120]) ).
tcf(c_31270,plain,
( ( sdtpldt0(sdtasdt0(xD,xB),sz0z00) = sdtasdt0(xD,xB) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_119]) ).
tcf(c_31597,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xD,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3540]) ).
tcf(c_31598,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xC,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3539]) ).
tcf(c_31599,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xB,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3538]) ).
tcf(c_31600,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xA,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3537]) ).
tcf(c_31601,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xC))))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_11369]) ).
tcf(c_31602,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xC)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_10979]) ).
tcf(c_31603,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xC))) = sdtasdt0(sz0z00,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3753]) ).
tcf(c_31604,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = sdtasdt0(sz0z00,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3554]) ).
tcf(c_31605,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xC))),smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3271]) ).
tcf(c_31606,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),smndt0(smndt0(sdtasdt0(xD,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3223]) ).
tcf(c_31607,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xC)))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_7817]) ).
tcf(c_31608,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xC))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_7455]) ).
tcf(c_31609,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xC)))) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3108]) ).
tcf(c_31610,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3045]) ).
tcf(c_31611,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),sz0z00) = smndt0(sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3024]) ).
tcf(c_31612,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3087]) ).
tcf(c_31613,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xC)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3066]) ).
tcf(c_31614,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_29526,c_131]) ).
tcf(c_31615,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_29526,c_133]) ).
tcf(c_31616,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_29526,c_132]) ).
tcf(c_31617,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_29526,c_136]) ).
tcf(c_31618,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_29526,c_134]) ).
tcf(c_31619,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_29526,c_118]) ).
tcf(c_31620,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_29526,c_117]) ).
tcf(c_31621,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_29526,c_116]) ).
tcf(c_31622,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xC)),sdtasdt0(xD,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_124]) ).
tcf(c_31623,plain,
( ( sdtpldt0(sdtasdt0(xD,xC),smndt0(sdtasdt0(xD,xC))) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_123]) ).
tcf(c_31624,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_125]) ).
tcf(c_31625,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xC)) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_122]) ).
tcf(c_31626,plain,
( ( sdtasdt0(sdtasdt0(xD,xC),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_121]) ).
tcf(c_31627,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xC)) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_120]) ).
tcf(c_31628,plain,
( ( sdtpldt0(sdtasdt0(xD,xC),sz0z00) = sdtasdt0(xD,xC) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_119]) ).
tcf(c_31833,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_29682]) ).
tcf(c_31834,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xD)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_31833,c_68]) ).
tcf(c_31841,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_31834,c_141]) ).
tcf(c_31842,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_31834,c_141]) ).
tcf(c_31843,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_31842,c_142]) ).
tcf(c_31851,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_31841,c_142]) ).
tcf(c_31940,plain,
( ( sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_29683]) ).
tcf(c_31941,plain,
sdtasdt0(sdtasdt0(xD,xD),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_31940,c_68]) ).
tcf(c_31944,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_31941,c_141]) ).
tcf(c_31945,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_31941,c_141]) ).
tcf(c_31946,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_31945,c_142]) ).
tcf(c_31954,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_31944,c_142,c_3420]) ).
tcf(c_31967,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xD,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3540]) ).
tcf(c_31968,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xC,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3539]) ).
tcf(c_31969,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xB,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3538]) ).
tcf(c_31970,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xA,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3537]) ).
tcf(c_31971,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xE))))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_11369]) ).
tcf(c_31972,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xE)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_10979]) ).
tcf(c_31973,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xE))) = sdtasdt0(sz0z00,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3753]) ).
tcf(c_31974,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = sdtasdt0(sz0z00,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3554]) ).
tcf(c_31975,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xE))),smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3271]) ).
tcf(c_31976,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),smndt0(smndt0(sdtasdt0(xD,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3223]) ).
tcf(c_31977,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xE)))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_7817]) ).
tcf(c_31978,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xE))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_7455]) ).
tcf(c_31979,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xE)))) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3108]) ).
tcf(c_31980,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3045]) ).
tcf(c_31981,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),sz0z00) = smndt0(sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3024]) ).
tcf(c_31982,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3087]) ).
tcf(c_31983,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xE)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3066]) ).
tcf(c_31984,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_29960,c_131]) ).
tcf(c_31985,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_29960,c_133]) ).
tcf(c_31986,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_29960,c_132]) ).
tcf(c_31987,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_29960,c_136]) ).
tcf(c_31988,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_29960,c_134]) ).
tcf(c_31989,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_29960,c_118]) ).
tcf(c_31990,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_29960,c_117]) ).
tcf(c_31991,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_29960,c_116]) ).
tcf(c_31992,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xE)),sdtasdt0(xD,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_124]) ).
tcf(c_31993,plain,
( ( sdtpldt0(sdtasdt0(xD,xE),smndt0(sdtasdt0(xD,xE))) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_123]) ).
tcf(c_31994,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_125]) ).
tcf(c_31995,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xE)) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_122]) ).
tcf(c_31996,plain,
( ( sdtasdt0(sdtasdt0(xD,xE),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_121]) ).
tcf(c_31997,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xE)) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_120]) ).
tcf(c_31998,plain,
( ( sdtpldt0(sdtasdt0(xD,xE),sz0z00) = sdtasdt0(xD,xE) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_119]) ).
tcf(c_32123,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xD,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3540]) ).
tcf(c_32124,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xC,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3539]) ).
tcf(c_32125,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xB,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3538]) ).
tcf(c_32126,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xA,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3537]) ).
tcf(c_32127,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xF))))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_11369]) ).
tcf(c_32128,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xF)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_10979]) ).
tcf(c_32129,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xF))) = sdtasdt0(sz0z00,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3753]) ).
tcf(c_32130,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = sdtasdt0(sz0z00,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3554]) ).
tcf(c_32131,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xF))),smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3271]) ).
tcf(c_32132,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),smndt0(smndt0(sdtasdt0(xD,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3223]) ).
tcf(c_32133,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xF)))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_7817]) ).
tcf(c_32134,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xF))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_7455]) ).
tcf(c_32135,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xF)))) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3108]) ).
tcf(c_32136,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3045]) ).
tcf(c_32137,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),sz0z00) = smndt0(sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3024]) ).
tcf(c_32138,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3087]) ).
tcf(c_32139,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xF)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3066]) ).
tcf(c_32140,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_29990,c_131]) ).
tcf(c_32141,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_29990,c_133]) ).
tcf(c_32142,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_29990,c_132]) ).
tcf(c_32143,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_29990,c_136]) ).
tcf(c_32144,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_29990,c_134]) ).
tcf(c_32145,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_29990,c_118]) ).
tcf(c_32146,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_29990,c_117]) ).
tcf(c_32147,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_29990,c_116]) ).
tcf(c_32148,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xF)),sdtasdt0(xD,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_124]) ).
tcf(c_32149,plain,
( ( sdtpldt0(sdtasdt0(xD,xF),smndt0(sdtasdt0(xD,xF))) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_123]) ).
tcf(c_32150,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_125]) ).
tcf(c_32151,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xF)) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_122]) ).
tcf(c_32152,plain,
( ( sdtasdt0(sdtasdt0(xD,xF),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_121]) ).
tcf(c_32153,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xF)) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_120]) ).
tcf(c_32154,plain,
( ( sdtpldt0(sdtasdt0(xD,xF),sz0z00) = sdtasdt0(xD,xF) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_119]) ).
tcf(c_32333,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xD,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3540]) ).
tcf(c_32334,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xC,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3539]) ).
tcf(c_32335,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xB,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3538]) ).
tcf(c_32336,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xA,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3537]) ).
tcf(c_32337,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xG))))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_11369]) ).
tcf(c_32338,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xG)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_10979]) ).
tcf(c_32339,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xG))) = sdtasdt0(sz0z00,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3753]) ).
tcf(c_32340,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = sdtasdt0(sz0z00,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3554]) ).
tcf(c_32341,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xG))),smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3271]) ).
tcf(c_32342,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),smndt0(smndt0(sdtasdt0(xD,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3223]) ).
tcf(c_32343,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xG)))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_7817]) ).
tcf(c_32344,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xG))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_7455]) ).
tcf(c_32345,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xG)))) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3108]) ).
tcf(c_32346,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3045]) ).
tcf(c_32347,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),sz0z00) = smndt0(sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3024]) ).
tcf(c_32348,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3087]) ).
tcf(c_32349,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xG)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3066]) ).
tcf(c_32350,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_30082,c_131]) ).
tcf(c_32351,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_30082,c_133]) ).
tcf(c_32352,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_30082,c_132]) ).
tcf(c_32353,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_30082,c_136]) ).
tcf(c_32354,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_30082,c_134]) ).
tcf(c_32355,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_30082,c_118]) ).
tcf(c_32356,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_30082,c_117]) ).
tcf(c_32357,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_30082,c_116]) ).
tcf(c_32358,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xG)),sdtasdt0(xD,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_124]) ).
tcf(c_32359,plain,
( ( sdtpldt0(sdtasdt0(xD,xG),smndt0(sdtasdt0(xD,xG))) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_123]) ).
tcf(c_32360,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_125]) ).
tcf(c_32361,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xG)) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_122]) ).
tcf(c_32362,plain,
( ( sdtasdt0(sdtasdt0(xD,xG),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_121]) ).
tcf(c_32363,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xG)) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_120]) ).
tcf(c_32364,plain,
( ( sdtpldt0(sdtasdt0(xD,xG),sz0z00) = sdtasdt0(xD,xG) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_119]) ).
tcf(c_32705,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xD,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3540]) ).
tcf(c_32706,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xC,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3539]) ).
tcf(c_32707,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xB,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3538]) ).
tcf(c_32708,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xA,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3537]) ).
tcf(c_32709,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xH))))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_11369]) ).
tcf(c_32710,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xH)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_10979]) ).
tcf(c_32711,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xH))) = sdtasdt0(sz0z00,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3753]) ).
tcf(c_32712,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = sdtasdt0(sz0z00,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3554]) ).
tcf(c_32713,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xH))),smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3271]) ).
tcf(c_32714,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),smndt0(smndt0(sdtasdt0(xD,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3223]) ).
tcf(c_32715,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xH)))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_7817]) ).
tcf(c_32716,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xH))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_7455]) ).
tcf(c_32717,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xH)))) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3108]) ).
tcf(c_32718,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3045]) ).
tcf(c_32719,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),sz0z00) = smndt0(sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3024]) ).
tcf(c_32720,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3087]) ).
tcf(c_32721,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xH)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3066]) ).
tcf(c_32722,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_30112,c_131]) ).
tcf(c_32723,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_30112,c_133]) ).
tcf(c_32724,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_30112,c_132]) ).
tcf(c_32725,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_30112,c_136]) ).
tcf(c_32726,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_30112,c_134]) ).
tcf(c_32727,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_30112,c_118]) ).
tcf(c_32728,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_30112,c_117]) ).
tcf(c_32729,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_30112,c_116]) ).
tcf(c_32730,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xH)),sdtasdt0(xD,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_124]) ).
tcf(c_32731,plain,
( ( sdtpldt0(sdtasdt0(xD,xH),smndt0(sdtasdt0(xD,xH))) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_123]) ).
tcf(c_32732,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_125]) ).
tcf(c_32733,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xH)) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_122]) ).
tcf(c_32734,plain,
( ( sdtasdt0(sdtasdt0(xD,xH),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_121]) ).
tcf(c_32735,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xH)) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_120]) ).
tcf(c_32736,plain,
( ( sdtpldt0(sdtasdt0(xD,xH),sz0z00) = sdtasdt0(xD,xH) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_119]) ).
tcf(c_32994,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xD,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3540]) ).
tcf(c_32995,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xC,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3539]) ).
tcf(c_32996,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xB,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3538]) ).
tcf(c_32997,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xA,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3537]) ).
tcf(c_32998,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xR))))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_11369]) ).
tcf(c_32999,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xR)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_10979]) ).
tcf(c_33000,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xR))) = sdtasdt0(sz0z00,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3753]) ).
tcf(c_33001,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = sdtasdt0(sz0z00,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3554]) ).
tcf(c_33002,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xR))),smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3271]) ).
tcf(c_33003,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),smndt0(smndt0(sdtasdt0(xD,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3223]) ).
tcf(c_33004,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xR)))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_7817]) ).
tcf(c_33005,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xR))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_7455]) ).
tcf(c_33006,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xR)))) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3108]) ).
tcf(c_33007,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3045]) ).
tcf(c_33008,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),sz0z00) = smndt0(sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3024]) ).
tcf(c_33009,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3087]) ).
tcf(c_33010,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xR)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3066]) ).
tcf(c_33011,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_30142,c_131]) ).
tcf(c_33012,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_30142,c_133]) ).
tcf(c_33013,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_30142,c_132]) ).
tcf(c_33014,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_30142,c_136]) ).
tcf(c_33015,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_30142,c_134]) ).
tcf(c_33016,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_30142,c_118]) ).
tcf(c_33017,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_30142,c_117]) ).
tcf(c_33018,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_30142,c_116]) ).
tcf(c_33019,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xR)),sdtasdt0(xD,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_124]) ).
tcf(c_33020,plain,
( ( sdtpldt0(sdtasdt0(xD,xR),smndt0(sdtasdt0(xD,xR))) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_123]) ).
tcf(c_33021,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_125]) ).
tcf(c_33022,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xR)) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_122]) ).
tcf(c_33023,plain,
( ( sdtasdt0(sdtasdt0(xD,xR),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_121]) ).
tcf(c_33024,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xR)) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_120]) ).
tcf(c_33025,plain,
( ( sdtpldt0(sdtasdt0(xD,xR),sz0z00) = sdtasdt0(xD,xR) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_119]) ).
tcf(c_33245,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xD,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3540]) ).
tcf(c_33246,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xC,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3539]) ).
tcf(c_33247,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xB,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3538]) ).
tcf(c_33248,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xA,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3537]) ).
tcf(c_33249,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xP))))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_11369]) ).
tcf(c_33250,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xP)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_10979]) ).
tcf(c_33251,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xP))) = sdtasdt0(sz0z00,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3753]) ).
tcf(c_33252,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = sdtasdt0(sz0z00,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3554]) ).
tcf(c_33253,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xP))),smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3271]) ).
tcf(c_33254,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),smndt0(smndt0(sdtasdt0(xD,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3223]) ).
tcf(c_33255,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xP)))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_7817]) ).
tcf(c_33256,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xP))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_7455]) ).
tcf(c_33257,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xP)))) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3108]) ).
tcf(c_33258,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3045]) ).
tcf(c_33259,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),sz0z00) = smndt0(sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3024]) ).
tcf(c_33260,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3087]) ).
tcf(c_33261,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xP)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3066]) ).
tcf(c_33262,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_30172,c_131]) ).
tcf(c_33263,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_30172,c_133]) ).
tcf(c_33264,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_30172,c_132]) ).
tcf(c_33265,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_30172,c_136]) ).
tcf(c_33266,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_30172,c_134]) ).
tcf(c_33267,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_30172,c_118]) ).
tcf(c_33268,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_30172,c_117]) ).
tcf(c_33269,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_30172,c_116]) ).
tcf(c_33270,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xP)),sdtasdt0(xD,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_124]) ).
tcf(c_33271,plain,
( ( sdtpldt0(sdtasdt0(xD,xP),smndt0(sdtasdt0(xD,xP))) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_123]) ).
tcf(c_33272,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_125]) ).
tcf(c_33273,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xP)) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_122]) ).
tcf(c_33274,plain,
( ( sdtasdt0(sdtasdt0(xD,xP),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_121]) ).
tcf(c_33275,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xP)) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_120]) ).
tcf(c_33276,plain,
( ( sdtpldt0(sdtasdt0(xD,xP),sz0z00) = sdtasdt0(xD,xP) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_119]) ).
tcf(c_33453,plain,
( aScalar0(sdtasdt0(xD,xS))
| ~ aScalar0(smndt0(xD)) ),
inference(global_subsumption_just,[status(thm)],[c_30222,c_82,c_15494,c_30222]) ).
tcf(c_33459,plain,
( ( sdtasdt0(smndt0(xD),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xD,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3540]) ).
tcf(c_33460,plain,
( ( sdtasdt0(smndt0(xC),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xC,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3539]) ).
tcf(c_33461,plain,
( ( sdtasdt0(smndt0(xB),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xB,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3538]) ).
tcf(c_33462,plain,
( ( sdtasdt0(smndt0(xA),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xA,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3537]) ).
tcf(c_33463,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(xD,xS))))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_11369]) ).
tcf(c_33464,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(xD,xS)))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_10979]) ).
tcf(c_33465,plain,
( ( smndt0(sdtasdt0(sz0z00,sdtasdt0(xD,xS))) = sdtasdt0(sz0z00,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3753]) ).
tcf(c_33466,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = sdtasdt0(sz0z00,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3554]) ).
tcf(c_33467,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xD,xS))),smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3271]) ).
tcf(c_33468,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),smndt0(smndt0(sdtasdt0(xD,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3223]) ).
tcf(c_33469,plain,
( ( sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xD,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_7817]) ).
tcf(c_33470,plain,
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xD,xS))),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_7455]) ).
tcf(c_33471,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xD,xS)))) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3108]) ).
tcf(c_33472,plain,
( ( sdtpldt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3045]) ).
tcf(c_33473,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),sz0z00) = smndt0(sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3024]) ).
tcf(c_33474,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3087]) ).
tcf(c_33475,plain,
( ( sdtasdt0(smndt0(sdtasdt0(xD,xS)),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3066]) ).
tcf(c_33476,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_33453,c_131]) ).
tcf(c_33477,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_33453,c_133]) ).
tcf(c_33478,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_33453,c_132]) ).
tcf(c_33479,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_33453,c_136]) ).
tcf(c_33480,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_33453,c_134]) ).
tcf(c_33481,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_33453,c_118]) ).
tcf(c_33482,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_33453,c_117]) ).
tcf(c_33483,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_33453,c_116]) ).
tcf(c_33484,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xD,xS)),sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_124]) ).
tcf(c_33485,plain,
( ( sdtpldt0(sdtasdt0(xD,xS),smndt0(sdtasdt0(xD,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_123]) ).
tcf(c_33486,plain,
( ( smndt0(smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_125]) ).
tcf(c_33487,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_122]) ).
tcf(c_33488,plain,
( ( sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00 )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_121]) ).
tcf(c_33489,plain,
( ( sdtpldt0(sz0z00,sdtasdt0(xD,xS)) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_120]) ).
tcf(c_33490,plain,
( ( sdtpldt0(sdtasdt0(xD,xS),sz0z00) = sdtasdt0(xD,xS) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_119]) ).
tcf(c_33637,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_30333]) ).
tcf(c_33638,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xN)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33637,c_68]) ).
tcf(c_33641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(superposition,[status(thm)],[c_14039,c_130]) ).
tcf(c_33642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(superposition,[status(thm)],[c_14039,c_130]) ).
tcf(c_33643,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(X1,sdtlbdtrb0(xs,aDimensionOf0(xq)))
| ~ sdtlseqdt0(X0,smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33642,c_14016]) ).
tcf(c_33650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))))
| ~ sdtlseqdt0(sdtlbdtrb0(xs,aDimensionOf0(xq)),X1)
| ~ sdtlseqdt0(smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33641,c_14016]) ).
tcf(c_33661,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_33638,c_141]) ).
tcf(c_33662,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_33638,c_141]) ).
tcf(c_33663,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_33662,c_142]) ).
tcf(c_33671,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_33661,c_142]) ).
tcf(c_33683,plain,
( ( sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_30334]) ).
tcf(c_33684,plain,
sdtasdt0(sdtasdt0(xD,xN),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33683,c_68]) ).
tcf(c_33687,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_33684,c_141]) ).
tcf(c_33688,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_33684,c_141]) ).
tcf(c_33689,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_33688,c_142]) ).
tcf(c_33697,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_33687,c_142,c_3420]) ).
tcf(c_33726,plain,
( ( sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_33487]) ).
tcf(c_33727,plain,
sdtasdt0(sz0z00,sdtasdt0(xD,xS)) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33726,c_68]) ).
tcf(c_33730,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_33727,c_141]) ).
tcf(c_33731,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_33727,c_141]) ).
tcf(c_33732,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_33731,c_142]) ).
tcf(c_33740,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_33730,c_142]) ).
tcf(c_33752,plain,
( ( sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00 )
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_127,c_33488]) ).
tcf(c_33753,plain,
sdtasdt0(sdtasdt0(xD,xS),sz0z00) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_33752,c_68]) ).
tcf(c_33756,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_33753,c_141]) ).
tcf(c_33757,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_33753,c_141]) ).
tcf(c_33758,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_33757,c_142]) ).
tcf(c_33766,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_33756,c_142,c_3420]) ).
tcf(c_33795,plain,
sdtasdt0(smndt0(xE),smndt0(xA)) = sdtasdt0(xE,xA),
inference(superposition,[status(thm)],[c_62,c_3541]) ).
tcf(c_33796,plain,
sdtasdt0(smndt0(xE),smndt0(xB)) = sdtasdt0(xE,xB),
inference(superposition,[status(thm)],[c_64,c_3541]) ).
tcf(c_33797,plain,
sdtasdt0(smndt0(xE),smndt0(xC)) = sdtasdt0(xE,xC),
inference(superposition,[status(thm)],[c_66,c_3541]) ).
tcf(c_33798,plain,
sdtasdt0(smndt0(xE),smndt0(xD)) = sdtasdt0(xE,xD),
inference(superposition,[status(thm)],[c_68,c_3541]) ).
tcf(c_33799,plain,
sdtasdt0(smndt0(xE),smndt0(xE)) = sdtasdt0(xE,xE),
inference(superposition,[status(thm)],[c_70,c_3541]) ).
tcf(c_33800,plain,
sdtasdt0(smndt0(xE),smndt0(xF)) = sdtasdt0(xE,xF),
inference(superposition,[status(thm)],[c_72,c_3541]) ).
tcf(c_33801,plain,
sdtasdt0(smndt0(xE),smndt0(xG)) = sdtasdt0(xE,xG),
inference(superposition,[status(thm)],[c_74,c_3541]) ).
tcf(c_33802,plain,
sdtasdt0(smndt0(xE),smndt0(xH)) = sdtasdt0(xE,xH),
inference(superposition,[status(thm)],[c_76,c_3541]) ).
tcf(c_33803,plain,
sdtasdt0(smndt0(xE),smndt0(xR)) = sdtasdt0(xE,xR),
inference(superposition,[status(thm)],[c_78,c_3541]) ).
tcf(c_33804,plain,
sdtasdt0(smndt0(xE),smndt0(xP)) = sdtasdt0(xE,xP),
inference(superposition,[status(thm)],[c_80,c_3541]) ).
tcf(c_33805,plain,
sdtasdt0(smndt0(xE),smndt0(xS)) = sdtasdt0(xE,xS),
inference(superposition,[status(thm)],[c_82,c_3541]) ).
tcf(c_33806,plain,
sdtasdt0(smndt0(xE),smndt0(xN)) = sdtasdt0(xE,xN),
inference(superposition,[status(thm)],[c_84,c_3541]) ).
tcf(c_33807,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_98,c_3541]) ).
tcf(c_33808,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_114,c_3541]) ).
tcf(c_33809,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(smndt0(X0))) = sdtasdt0(xE,smndt0(X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_3541]) ).
tcf(c_33810,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_138,c_3541]) ).
tcf(c_33811,plain,
sdtasdt0(smndt0(xE),smndt0(sz0z00)) = sdtasdt0(xE,sz0z00),
inference(superposition,[status(thm)],[c_142,c_3541]) ).
tcf(c_33812,plain,
sdtasdt0(smndt0(xE),smndt0(smndt0(xN))) = sdtasdt0(xE,smndt0(xN)),
inference(superposition,[status(thm)],[c_3847,c_3541]) ).
tcf(c_33813,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xE,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3132,c_3541]) ).
tcf(c_33814,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(sdtasasdt0(X0,X0))) = sdtasdt0(xE,sdtasasdt0(X0,X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3884,c_3541]) ).
tcf(c_33815,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xD))) = sdtasdt0(xE,sdtasdt0(xC,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25800,c_3541]) ).
tcf(c_33816,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,sz00))) = sdtasdt0(xE,sdtlbdtrb0(xs,sz00)),
inference(superposition,[status(thm)],[c_5083,c_3541]) ).
tcf(c_33817,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,sz00))) = sdtasdt0(xE,sdtlbdtrb0(xt,sz00)),
inference(superposition,[status(thm)],[c_5143,c_3541]) ).
tcf(c_33818,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xq)))) = sdtasdt0(xE,sdtlbdtrb0(xs,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_14016,c_3541]) ).
tcf(c_33819,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,aDimensionOf0(xp)))) = sdtasdt0(xE,sdtlbdtrb0(xs,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_13704,c_3541]) ).
tcf(c_33820,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(sz00)))) = sdtasdt0(xE,sdtlbdtrb0(xs,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_15431,c_3541]) ).
tcf(c_33821,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xq)))) = sdtasdt0(xE,sdtlbdtrb0(xt,aDimensionOf0(xq))),
inference(superposition,[status(thm)],[c_16400,c_3541]) ).
tcf(c_33822,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,aDimensionOf0(xp)))) = sdtasdt0(xE,sdtlbdtrb0(xt,aDimensionOf0(xp))),
inference(superposition,[status(thm)],[c_16248,c_3541]) ).
tcf(c_33823,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(sz00)))) = sdtasdt0(xE,sdtlbdtrb0(xt,szszuzczcdt0(sz00))),
inference(superposition,[status(thm)],[c_17251,c_3541]) ).
tcf(c_33824,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xE,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_17456,c_3541]) ).
tcf(c_33825,plain,
sdtasdt0(smndt0(xE),smndt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))))) = sdtasdt0(xE,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(superposition,[status(thm)],[c_16930,c_3541]) ).
tcf(c_33826,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xC))) = sdtasdt0(xE,sdtasdt0(xA,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17888,c_3541]) ).
tcf(c_33827,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xD))) = sdtasdt0(xE,sdtasdt0(xA,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17950,c_3541]) ).
tcf(c_33828,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xE))) = sdtasdt0(xE,sdtasdt0(xA,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_17980,c_3541]) ).
tcf(c_33829,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xF))) = sdtasdt0(xE,sdtasdt0(xA,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18010,c_3541]) ).
tcf(c_33830,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xG))) = sdtasdt0(xE,sdtasdt0(xA,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18056,c_3541]) ).
tcf(c_33831,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xH))) = sdtasdt0(xE,sdtasdt0(xA,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18086,c_3541]) ).
tcf(c_33832,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xR))) = sdtasdt0(xE,sdtasdt0(xA,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18116,c_3541]) ).
tcf(c_33833,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xP))) = sdtasdt0(xE,sdtasdt0(xA,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18146,c_3541]) ).
tcf(c_33834,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xS))) = sdtasdt0(xE,sdtasdt0(xA,xS)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21224,c_3541]) ).
tcf(c_33835,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,xN))) = sdtasdt0(xE,sdtasdt0(xA,xN)) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_18215,c_3541]) ).
tcf(c_33836,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xA,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xA,smndt0(xN))) )
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_19875,c_3541]) ).
tcf(c_33837,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xA))) = sdtasdt0(xE,sdtasdt0(xB,xA)) )
| ~ aScalar0(smndt0(xB))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_21682,c_3541]) ).
tcf(c_33838,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xC))) = sdtasdt0(xE,sdtasdt0(xB,xC)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21712,c_3541]) ).
tcf(c_33839,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xD))) = sdtasdt0(xE,sdtasdt0(xB,xD)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21742,c_3541]) ).
tcf(c_33840,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xE))) = sdtasdt0(xE,sdtasdt0(xB,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21772,c_3541]) ).
tcf(c_33841,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xF))) = sdtasdt0(xE,sdtasdt0(xB,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21802,c_3541]) ).
tcf(c_33842,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xG))) = sdtasdt0(xE,sdtasdt0(xB,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21832,c_3541]) ).
tcf(c_33843,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xH))) = sdtasdt0(xE,sdtasdt0(xB,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21882,c_3541]) ).
tcf(c_33844,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xR))) = sdtasdt0(xE,sdtasdt0(xB,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21912,c_3541]) ).
tcf(c_33845,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xP))) = sdtasdt0(xE,sdtasdt0(xB,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_21943,c_3541]) ).
tcf(c_33846,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xS))) = sdtasdt0(xE,sdtasdt0(xB,xS)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25083,c_3541]) ).
tcf(c_33847,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,xN))) = sdtasdt0(xE,sdtasdt0(xB,xN)) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22006,c_3541]) ).
tcf(c_33848,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xB,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xB,smndt0(xN))) )
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_22239,c_3541]) ).
tcf(c_33849,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xA))) = sdtasdt0(xE,sdtasdt0(xC,xA)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_25539,c_3541]) ).
tcf(c_33850,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xB))) = sdtasdt0(xE,sdtasdt0(xC,xB)) )
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_25569,c_3541]) ).
tcf(c_33851,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xC))) = sdtasdt0(xE,sdtasdt0(xC,xC)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25599,c_3541]) ).
tcf(c_33852,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xE))) = sdtasdt0(xE,sdtasdt0(xC,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25960,c_3541]) ).
tcf(c_33853,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xF))) = sdtasdt0(xE,sdtasdt0(xC,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_25990,c_3541]) ).
tcf(c_33854,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xH))) = sdtasdt0(xE,sdtasdt0(xC,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26020,c_3541]) ).
tcf(c_33855,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xR))) = sdtasdt0(xE,sdtasdt0(xC,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26081,c_3541]) ).
tcf(c_33856,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xP))) = sdtasdt0(xE,sdtasdt0(xC,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26111,c_3541]) ).
tcf(c_33857,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xS))) = sdtasdt0(xE,sdtasdt0(xC,xS)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_28498,c_3541]) ).
tcf(c_33858,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,xN))) = sdtasdt0(xE,sdtasdt0(xC,xN)) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26174,c_3541]) ).
tcf(c_33859,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xC,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xC,smndt0(xN))) )
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_26354,c_3541]) ).
tcf(c_33860,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xA))) = sdtasdt0(xE,sdtasdt0(xD,xA)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xA)) ),
inference(superposition,[status(thm)],[c_29442,c_3541]) ).
tcf(c_33861,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xB))) = sdtasdt0(xE,sdtasdt0(xD,xB)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xB)) ),
inference(superposition,[status(thm)],[c_29491,c_3541]) ).
tcf(c_33862,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xC))) = sdtasdt0(xE,sdtasdt0(xD,xC)) )
| ~ aScalar0(smndt0(xD))
| ~ aScalar0(smndt0(xC)) ),
inference(superposition,[status(thm)],[c_29526,c_3541]) ).
tcf(c_33863,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xD))) = sdtasdt0(xE,sdtasdt0(xD,xD)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29579,c_3541]) ).
tcf(c_33864,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xE))) = sdtasdt0(xE,sdtasdt0(xD,xE)) )
| ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29960,c_3541]) ).
tcf(c_33865,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xF))) = sdtasdt0(xE,sdtasdt0(xD,xF)) )
| ~ aScalar0(smndt0(xF))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_29990,c_3541]) ).
tcf(c_33866,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xG))) = sdtasdt0(xE,sdtasdt0(xD,xG)) )
| ~ aScalar0(smndt0(xG))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30082,c_3541]) ).
tcf(c_33867,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xH))) = sdtasdt0(xE,sdtasdt0(xD,xH)) )
| ~ aScalar0(smndt0(xH))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30112,c_3541]) ).
tcf(c_33868,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xR))) = sdtasdt0(xE,sdtasdt0(xD,xR)) )
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30142,c_3541]) ).
tcf(c_33869,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xP))) = sdtasdt0(xE,sdtasdt0(xD,xP)) )
| ~ aScalar0(smndt0(xP))
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30172,c_3541]) ).
tcf(c_33870,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xS))) = sdtasdt0(xE,sdtasdt0(xD,xS)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_33453,c_3541]) ).
tcf(c_33871,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,xN))) = sdtasdt0(xE,sdtasdt0(xD,xN)) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30275,c_3541]) ).
tcf(c_33872,plain,
( ( sdtasdt0(smndt0(xE),smndt0(sdtasdt0(xD,smndt0(xN)))) = sdtasdt0(xE,sdtasdt0(xD,smndt0(xN))) )
| ~ aScalar0(smndt0(xD)) ),
inference(superposition,[status(thm)],[c_30672,c_3541]) ).
tcf(c_33874,plain,
sdtasdt0(smndt0(xE),smndt0(xH)) = xP,
inference(light_normalisation,[status(thm)],[c_33802,c_81]) ).
tcf(c_33875,plain,
sdtasdt0(smndt0(xE),xN) = sdtasdt0(xE,smndt0(xN)),
inference(light_normalisation,[status(thm)],[c_33812,c_3107]) ).
tcf(c_34374,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33875,c_33874,c_33872,c_33871,c_33870,c_33869,c_33868,c_33867,c_33866,c_33865,c_33864,c_33863,c_33862,c_33861,c_33860,c_33859,c_33858,c_33857,c_33856,c_33855,c_33854,c_33853,c_33852,c_33851,c_33850,c_33849,c_33848,c_33847,c_33846,c_33845,c_33844,c_33843,c_33842,c_33841,c_33840,c_33839,c_33838,c_33837,c_33836,c_33835,c_33834,c_33833,c_33832,c_33831,c_33830,c_33829,c_33828,c_33827,c_33826,c_33825,c_33824,c_33823,c_33822,c_33821,c_33820,c_33819,c_33818,c_33817,c_33816,c_33815,c_33814,c_33813,c_33812,c_33811,c_33810,c_33809,c_33808,c_33807,c_33806,c_33805,c_33804,c_33803,c_33802,c_33801,c_33800,c_33799,c_33798,c_33797,c_33796,c_33795,c_33766,c_33758,c_33757,c_33756,c_33753,c_33752,c_33740,c_33732,c_33731,c_33730,c_33727,c_33726,c_33697,c_33689,c_33688,c_33687,c_33684,c_33683,c_33671,c_33663,c_33662,c_33661,c_33650,c_33643,c_33642,c_33641,c_33638,c_33637,c_33490,c_33489,c_33488,c_33487,c_33486,c_33485,c_33484,c_33483,c_33482,c_33481,c_33480,c_33479,c_33478,c_33477,c_33476,c_33475,c_33474,c_33473,c_33472,c_33471,c_33470,c_33469,c_33468,c_33467,c_33466,c_33465,c_33464,c_33463,c_33462,c_33461,c_33460,c_33459,c_33453,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_33248,c_33247,c_33246,c_33245,c_33025,c_33024,c_33023,c_33022,c_33021,c_33020,c_33019,c_33018,c_33017,c_33016,c_33015,c_33014,c_33013,c_33012,c_33011,c_33010,c_33009,c_33008,c_33007,c_33006,c_33005,c_33004,c_33003,c_33002,c_33001,c_33000,c_32999,c_32998,c_32997,c_32996,c_32995,c_32994,c_32736,c_32735,c_32734,c_32733,c_32732,c_32731,c_32730,c_32729,c_32728,c_32727,c_32726,c_32725,c_32724,c_32723,c_32722,c_32721,c_32720,c_32719,c_32718,c_32717,c_32716,c_32715,c_32714,c_32713,c_32712,c_32711,c_32710,c_32709,c_32708,c_32707,c_32706,c_32705,c_32364,c_32363,c_32362,c_32361,c_32360,c_32359,c_32358,c_32357,c_32356,c_32355,c_32354,c_32353,c_32352,c_32351,c_32350,c_32349,c_32348,c_32347,c_32346,c_32345,c_32344,c_32343,c_32342,c_32341,c_32340,c_32339,c_32338,c_32337,c_32336,c_32335,c_32334,c_32333,c_32154,c_32153,c_32152,c_32151,c_32150,c_32149,c_32148,c_32147,c_32146,c_32145,c_32144,c_32143,c_32142,c_32141,c_32140,c_32139,c_32138,c_32137,c_32136,c_32135,c_32134,c_32133,c_32132,c_32131,c_32130,c_32129,c_32128,c_32127,c_32126,c_32125,c_32124,c_32123,c_31998,c_31997,c_31996,c_31995,c_31994,c_31993,c_31992,c_31991,c_31990,c_31989,c_31988,c_31987,c_31986,c_31985,c_31984,c_31983,c_31982,c_31981,c_31980,c_31979,c_31978,c_31977,c_31976,c_31975,c_31974,c_31973,c_31972,c_31971,c_31970,c_31969,c_31968,c_31967,c_31954,c_31946,c_31945,c_31944,c_31941,c_31940,c_31851,c_31843,c_31842,c_31841,c_31834,c_31833,c_31628,c_31627,c_31626,c_31625,c_31624,c_31623,c_31622,c_31621,c_31620,c_31619,c_31618,c_31617,c_31616,c_31615,c_31614,c_31613,c_31612,c_31611,c_31610,c_31609,c_31608,c_31607,c_31606,c_31605,c_31604,c_31603,c_31602,c_31601,c_31600,c_31599,c_31598,c_31597,c_31270,c_31269,c_31268,c_31267,c_31266,c_31265,c_31264,c_31263,c_31262,c_31261,c_31260,c_31259,c_31258,c_31257,c_31256,c_31255,c_31254,c_31253,c_31252,c_31251,c_31250,c_31249,c_31248,c_31247,c_31246,c_31245,c_31244,c_31243,c_31242,c_31241,c_31240,c_31239,c_30984,c_30983,c_30982,c_30981,c_30980,c_30979,c_30978,c_30977,c_30976,c_30975,c_30974,c_30973,c_30972,c_30971,c_30970,c_30969,c_30968,c_30967,c_30966,c_30965,c_30964,c_30963,c_30962,c_30961,c_30960,c_30959,c_30958,c_30957,c_30956,c_30955,c_30954,c_30953,c_30806,c_30805,c_30804,c_30803,c_30802,c_30801,c_30800,c_30799,c_30798,c_30797,c_30796,c_30795,c_30794,c_30793,c_30792,c_30791,c_30790,c_30789,c_30788,c_30787,c_30786,c_30785,c_30784,c_30783,c_30782,c_30781,c_30780,c_30779,c_30778,c_30777,c_30776,c_30775,c_30764,c_30757,c_30756,c_30755,c_30687,c_30679,c_30675,c_30672,c_30671,c_30670,c_30669,c_30668,c_30336,c_30335,c_30334,c_30333,c_30332,c_30331,c_30330,c_30329,c_30328,c_30327,c_30326,c_30325,c_30324,c_30323,c_30322,c_30321,c_30320,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_30291,c_30283,c_30278,c_30275,c_30274,c_30273,c_30272,c_30271,c_30224,c_30223,c_30222,c_30221,c_30174,c_30173,c_30172,c_30171,c_30144,c_30143,c_30142,c_30141,c_30114,c_30113,c_30112,c_30111,c_30084,c_30083,c_30082,c_30081,c_29992,c_29991,c_29990,c_29989,c_29962,c_29961,c_29960,c_29959,c_29941,c_29936,c_29935,c_29934,c_29685,c_29684,c_29683,c_29682,c_29681,c_29680,c_29679,c_29678,c_29677,c_29676,c_29675,c_29674,c_29673,c_29672,c_29671,c_29670,c_29669,c_29668,c_29667,c_29666,c_29665,c_29664,c_29663,c_29662,c_29661,c_29660,c_29659,c_29658,c_29657,c_29656,c_29655,c_29654,c_29583,c_29584,c_29581,c_29580,c_29579,c_29528,c_29527,c_29526,c_29525,c_29493,c_29492,c_29491,c_29490,c_29444,c_29443,c_29442,c_29441,c_29432,c_29425,c_29424,c_29423,c_29054,c_29052,c_29051,c_29050,c_29049,c_29048,c_29047,c_29046,c_29045,c_29044,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG060+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 08:01:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 29.31/4.80 % SZS status Started for theBenchmark.p
% 29.31/4.80 % SZS status Theorem for theBenchmark.p
% 29.31/4.80
% 29.31/4.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.31/4.80
% 29.31/4.80 % ------ iProver source info
% 29.31/4.80
% 29.31/4.80 % git: date: 2026-07-19 20:42:38 +0200
% 29.31/4.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.31/4.80 % git: non_committed_changes: false
% 29.31/4.80
% 29.31/4.80 % ------ Parsing...
% 29.31/4.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.31/4.80
% 29.31/4.80 % ------ Preprocessing... sup_sim: 2 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 %
% 29.31/4.80
% 29.31/4.80 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.31/4.80
% 29.31/4.80 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 29.31/4.80 % ------ Proving...
% 29.31/4.80 % ------ Problem Properties
% 29.31/4.80
% 29.31/4.80 %
% 29.31/4.80 % clauses 96
% 29.31/4.80 % conjectures 1
% 29.31/4.80 % EPR 25
% 29.31/4.80 % Horn 84
% 29.31/4.80 % unary 43
% 29.31/4.80 % binary 19
% 29.31/4.80 % lits 230
% 29.31/4.80 % lits eq 75
% 29.31/4.80 % fd_pure 0
% 29.31/4.80 % fd_pseudo 0
% 29.31/4.80 % fd_cond 1
% 29.31/4.80 % fd_pseudo_cond 5
% 29.31/4.80 % AC symbols 0
% 29.31/4.80
% 29.31/4.80 % ------ Schedule dynamic 5 is on
% 29.31/4.80
% 29.31/4.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 29.31/4.80
% 29.31/4.80
% 29.31/4.80 % ------
% 29.31/4.80 % Current options:
% 29.31/4.80 % ------
% 29.31/4.80
% 29.31/4.80
% 29.31/4.80 %
% 29.31/4.80
% 29.31/4.80 % ------ Proving...
% 29.31/4.80 %
% 29.31/4.80
% 29.31/4.80 % SZS status Theorem for theBenchmark.p
% 29.31/4.80
% 29.31/4.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.31/4.94
% 29.31/4.94
%------------------------------------------------------------------------------