%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG052+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 02:38:20 PM UTC 2026
% Result : Theorem 8.37s 2.81s
% Output : CNFRefutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 53
% Syntax : Number of formulae : 2316 ( 223 unt; 2 def)
% Number of atoms : 24758 ( 890 equ)
% Maximal formula atoms : 15 ( 10 avg)
% Number of connectives : 19480 (8235 ~;11067 |; 127 &)
% ( 3 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 4021 ( 0 sgn4015 !; 6 ?;3715 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f56,conjecture,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f63,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(flattening,[],[f57]) ).
fof(f64,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f66,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f75,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(f76,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(f77,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,[],[f76]) ).
fof(f78,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(f79,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,[],[f78]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f82,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(f83,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,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f89]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f93,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(f94,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,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f97,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(f98,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,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f100,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(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f103]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f107,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(f108,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f111]) ).
fof(f113,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(f114,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,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f116,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(f117,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,[],[f116]) ).
fof(f118,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(f119,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(f120,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))],[f66]) ).
fof(f121,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f122,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ( aNaturalNumber0(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))],[f123]) ).
fof(f125,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f128,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f129,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f131,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f132,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f135,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f136,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f75]) ).
fof(f137,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f138,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f139,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f75]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f143,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f148,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,[],[f79]) ).
fof(f149,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,[],[f79]) ).
fof(f150,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,[],[f81]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f154,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f157,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,[],[f92]) ).
fof(f158,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,[],[f94]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f162,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f164,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f166,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f169,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,[],[f124]) ).
fof(f170,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,[],[f124]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f174,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,[],[f114]) ).
fof(f175,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f176,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f177,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f178,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,[],[f117]) ).
fof(f179,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f180,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f181,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f118]) ).
fof(f182,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f183,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f118]) ).
fof(f184,plain,
aVector0(xp),
inference(cnf_transformation,[],[f118]) ).
fof(f185,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f119]) ).
fof(f186,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f187,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f119]) ).
fof(f188,plain,
aVector0(xq),
inference(cnf_transformation,[],[f119]) ).
fof(f189,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f190,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f191,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f192,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f193,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f194,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f195,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f196,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f197,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f198,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f199,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f200,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f201,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f202,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f203,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f204,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f205,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f206,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f208,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f211,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f212,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f213,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f63]) ).
fof(f214,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f168]) ).
fof(f215,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f167]) ).
fof(f216,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f166]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f125]) ).
tcf(c_50,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_52,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK0(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_55,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f132]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_68,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,[],[f147]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_70,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,[],[f145]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_72,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,[],[f149]) ).
tcf(c_73,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,[],[f148]) ).
tcf(c_74,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,[],[f150]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_78,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_80,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,[],[f156]) ).
tcf(c_81,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,[],[f157]) ).
tcf(c_82,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,[],[f158]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_87,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,[],[f163]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_90,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,[],[f170]) ).
tcf(c_91,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,[],[f169]) ).
tcf(c_92,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),X0) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_95,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,[],[f171]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_98,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,[],[f174]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_100,plain,
aVector0(xs),
inference(cnf_transformation,[],[f177]) ).
tcf(c_101,plain,
aVector0(xt),
inference(cnf_transformation,[],[f176]) ).
tcf(c_102,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,[],[f178]) ).
tcf(c_103,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f179]) ).
tcf(c_104,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f180]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f184]) ).
tcf(c_106,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(cnf_transformation,[],[f183]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,X0) = sdtlbdtrb0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_108,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f181]) ).
tcf(c_109,plain,
aVector0(xq),
inference(cnf_transformation,[],[f188]) ).
tcf(c_110,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f187]) ).
tcf(c_111,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,X0) = sdtlbdtrb0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_112,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f185]) ).
tcf(c_113,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f190]) ).
tcf(c_114,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f189]) ).
tcf(c_115,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f192]) ).
tcf(c_116,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f191]) ).
tcf(c_117,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f194]) ).
tcf(c_118,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f193]) ).
tcf(c_119,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f196]) ).
tcf(c_120,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f195]) ).
tcf(c_121,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f198]) ).
tcf(c_122,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f197]) ).
tcf(c_123,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f200]) ).
tcf(c_124,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f199]) ).
tcf(c_125,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f202]) ).
tcf(c_126,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f201]) ).
tcf(c_127,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f204]) ).
tcf(c_128,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f203]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f206]) ).
tcf(c_130,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f205]) ).
tcf(c_131,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f208]) ).
tcf(c_132,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f207]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f210]) ).
tcf(c_134,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f209]) ).
tcf(c_135,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f212]) ).
tcf(c_136,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f211]) ).
tcf(c_137,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f213]) ).
tcf(c_145,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_186,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_145]) ).
tcf(c_644,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_116,c_103]) ).
tcf(c_645,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(light_normalisation,[status(thm)],[c_110,c_103]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0)
| ( aDimensionOf0(X1) != X0 )
| ( aDimensionOf0(X1) != aDimensionOf0(X2) )
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_102]) ).
tcf(c_1013,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_1012]) ).
tcf(c_1015,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_1013,c_88,c_1013]) ).
tcf(c_1016,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_1015]) ).
tcf(c_1851,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_71]) ).
tcf(c_1852,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_71]) ).
tcf(c_1853,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_71]) ).
tcf(c_1854,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_69]) ).
tcf(c_1855,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
tcf(c_1856,definition,
iPr_def_13 = sdtasdt0(xE,xE),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1857,definition,
iPr_def_14 = sdtasdt0(xC,xD),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1858,negated_conjecture,
~ sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_137,c_1857,c_1856]) ).
tcf(c_1884,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1851]) ).
tcf(c_2927,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1853,c_56,c_1884,c_1853]) ).
tcf(c_2929,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1855,c_56,c_1884,c_1855]) ).
tcf(c_2946,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1851,c_56,c_1884]) ).
tcf(c_2948,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_103,c_88]) ).
tcf(c_2949,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2948,c_101]) ).
tcf(c_2956,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_124,c_86]) ).
tcf(c_2957,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_126,c_86]) ).
tcf(c_2958,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm)],[c_1856,c_86]) ).
tcf(c_2959,plain,
sdtlseqdt0(sz0z00,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_2958,c_121]) ).
tcf(c_2960,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2957,c_115]) ).
tcf(c_2961,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2956,c_113]) ).
tcf(c_2966,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_118,c_99]) ).
tcf(c_2967,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_120,c_99]) ).
tcf(c_2968,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2967,c_109]) ).
tcf(c_2969,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2966,c_105]) ).
tcf(c_2980,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_2981,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
tcf(c_2982,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_2983,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_115,c_60]) ).
tcf(c_2984,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_2985,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_119,c_60]) ).
tcf(c_2986,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_121,c_60]) ).
tcf(c_2987,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_123,c_60]) ).
tcf(c_2988,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_125,c_60]) ).
tcf(c_2989,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_127,c_60]) ).
tcf(c_2990,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_129,c_60]) ).
tcf(c_2991,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_131,c_60]) ).
tcf(c_2992,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_133,c_60]) ).
tcf(c_2993,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_135,c_60]) ).
tcf(c_3002,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
tcf(c_3003,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_3004,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_115,c_61]) ).
tcf(c_3005,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_3006,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_119,c_61]) ).
tcf(c_3007,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_121,c_61]) ).
tcf(c_3008,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_123,c_61]) ).
tcf(c_3009,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_125,c_61]) ).
tcf(c_3010,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_127,c_61]) ).
tcf(c_3011,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_129,c_61]) ).
tcf(c_3012,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_131,c_61]) ).
tcf(c_3013,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_133,c_61]) ).
tcf(c_3014,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_135,c_61]) ).
tcf(c_3022,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_3023,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_62]) ).
tcf(c_3024,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_3025,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_62]) ).
tcf(c_3026,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_62]) ).
tcf(c_3027,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_62]) ).
tcf(c_3028,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_62]) ).
tcf(c_3029,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_62]) ).
tcf(c_3030,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_62]) ).
tcf(c_3031,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_3032,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_62]) ).
tcf(c_3033,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_62]) ).
tcf(c_3034,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_62]) ).
tcf(c_3035,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_62]) ).
tcf(c_3044,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_63]) ).
tcf(c_3045,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_3046,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_63]) ).
tcf(c_3047,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_63]) ).
tcf(c_3048,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_63]) ).
tcf(c_3049,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_63]) ).
tcf(c_3050,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_63]) ).
tcf(c_3051,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_63]) ).
tcf(c_3052,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_63]) ).
tcf(c_3053,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_63]) ).
tcf(c_3054,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_63]) ).
tcf(c_3055,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_63]) ).
tcf(c_3056,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_63]) ).
tcf(c_3064,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_3065,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_66]) ).
tcf(c_3066,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_3067,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_115,c_66]) ).
tcf(c_3068,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_117,c_66]) ).
tcf(c_3069,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_119,c_66]) ).
tcf(c_3070,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_121,c_66]) ).
tcf(c_3071,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_123,c_66]) ).
tcf(c_3072,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_125,c_66]) ).
tcf(c_3073,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_127,c_66]) ).
tcf(c_3074,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_129,c_66]) ).
tcf(c_3075,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_131,c_66]) ).
tcf(c_3076,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_133,c_66]) ).
tcf(c_3077,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_135,c_66]) ).
tcf(c_3110,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_66]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_63]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_62]) ).
tcf(c_3113,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_61]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
tcf(c_3148,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm)],[c_1856,c_58]) ).
tcf(c_3149,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_1857,c_58]) ).
tcf(c_3150,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_66]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_63]) ).
tcf(c_3152,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_62]) ).
tcf(c_3153,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_61]) ).
tcf(c_3154,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_3155,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3148,c_121]) ).
tcf(c_3156,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3149,c_119,c_117]) ).
tcf(c_3182,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_3183,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_3184,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_3185,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_3186,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_3187,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_3188,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_64]) ).
tcf(c_3189,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_64]) ).
tcf(c_3190,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_64]) ).
tcf(c_3191,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_64]) ).
tcf(c_3192,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_64]) ).
tcf(c_3193,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_64]) ).
tcf(c_3194,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_64]) ).
tcf(c_3195,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_64]) ).
tcf(c_3196,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_64]) ).
tcf(c_3197,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_64]) ).
tcf(c_3226,plain,
sdtpldt0(iPr_def_13,smndt0(iPr_def_13)) = sz0z00,
inference(superposition,[status(thm)],[c_3155,c_64]) ).
tcf(c_3227,plain,
smndt0(smndt0(iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_3155,c_66]) ).
tcf(c_3228,plain,
sdtasdt0(sz0z00,iPr_def_13) = sz0z00,
inference(superposition,[status(thm)],[c_3155,c_63]) ).
tcf(c_3229,plain,
sdtasdt0(iPr_def_13,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3155,c_62]) ).
tcf(c_3230,plain,
sdtpldt0(sz0z00,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_3155,c_61]) ).
tcf(c_3231,plain,
sdtpldt0(iPr_def_13,sz0z00) = iPr_def_13,
inference(superposition,[status(thm)],[c_3155,c_60]) ).
tcf(c_3242,plain,
sdtpldt0(iPr_def_14,smndt0(iPr_def_14)) = sz0z00,
inference(superposition,[status(thm)],[c_3156,c_64]) ).
tcf(c_3243,plain,
smndt0(smndt0(iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_3156,c_66]) ).
tcf(c_3244,plain,
sdtasdt0(sz0z00,iPr_def_14) = sz0z00,
inference(superposition,[status(thm)],[c_3156,c_63]) ).
tcf(c_3245,plain,
sdtasdt0(iPr_def_14,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3156,c_62]) ).
tcf(c_3246,plain,
sdtpldt0(sz0z00,iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_3156,c_61]) ).
tcf(c_3247,plain,
sdtpldt0(iPr_def_14,sz0z00) = iPr_def_14,
inference(superposition,[status(thm)],[c_3156,c_60]) ).
tcf(c_3264,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3022,c_86]) ).
tcf(c_3265,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3264,c_56]) ).
tcf(c_3270,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_3271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_3272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_65]) ).
tcf(c_3273,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_65]) ).
tcf(c_3274,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_3275,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_65]) ).
tcf(c_3276,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_65]) ).
tcf(c_3277,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_3278,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_65]) ).
tcf(c_3279,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_65]) ).
tcf(c_3280,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_65]) ).
tcf(c_3281,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_65]) ).
tcf(c_3282,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_65]) ).
tcf(c_3283,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_65]) ).
tcf(c_3284,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_133,c_65]) ).
tcf(c_3285,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_135,c_65]) ).
tcf(c_3286,plain,
sdtpldt0(smndt0(iPr_def_13),iPr_def_13) = sz0z00,
inference(superposition,[status(thm)],[c_3155,c_65]) ).
tcf(c_3287,plain,
sdtpldt0(smndt0(iPr_def_14),iPr_def_14) = sz0z00,
inference(superposition,[status(thm)],[c_3156,c_65]) ).
tcf(c_3317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X1,X0)),sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_65]) ).
tcf(c_3318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),smndt0(sdtlbdtrb0(X1,X0))) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_3319,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(X1,X0))) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_63]) ).
tcf(c_3321,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_3322,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_61]) ).
tcf(c_3323,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_60]) ).
tcf(c_3371,plain,
sdtlbdtrb0(xs,sz00) = sdtlbdtrb0(xp,sz00),
inference(superposition,[status(thm)],[c_49,c_107]) ).
tcf(c_3372,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,szszuzczcdt0(X0)) = sdtlbdtrb0(xp,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_3373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xs,sK0(X0)) = sdtlbdtrb0(xp,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_107]) ).
tcf(c_3374,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xs,aDimensionOf0(X0)) = sdtlbdtrb0(xp,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_107]) ).
tcf(c_3375,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = sdtlbdtrb0(xp,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2949,c_107]) ).
tcf(c_3376,plain,
sdtlbdtrb0(xp,aDimensionOf0(xs)) = xA,
inference(light_normalisation,[status(thm)],[c_3375,c_114]) ).
tcf(c_3412,plain,
sdtlbdtrb0(xt,sz00) = sdtlbdtrb0(xq,sz00),
inference(superposition,[status(thm)],[c_49,c_111]) ).
tcf(c_3413,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,szszuzczcdt0(X0)) = sdtlbdtrb0(xq,szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_3414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtlbdtrb0(xt,sK0(X0)) = sdtlbdtrb0(xq,sK0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_111]) ).
tcf(c_3415,plain,
! [X0: $i] :
( ( sdtlbdtrb0(xt,aDimensionOf0(X0)) = sdtlbdtrb0(xq,aDimensionOf0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_111]) ).
tcf(c_3416,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = sdtlbdtrb0(xq,aDimensionOf0(xs)),
inference(superposition,[status(thm)],[c_2949,c_111]) ).
tcf(c_3417,plain,
sdtlbdtrb0(xq,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_3416,c_644]) ).
tcf(c_3437,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_83,c_1858]) ).
tcf(c_3441,plain,
sdtlseqdt0(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3437,c_3156,c_3155]) ).
tcf(c_3457,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK0(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_3458,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK0(X0) = sz00 )
| ( szszuzczcdt0(sK0(sK0(X0))) = sK0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_3459,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_53]) ).
tcf(c_3460,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2949,c_53]) ).
tcf(c_3461,plain,
szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3460,c_104]) ).
tcf(c_3481,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_3482,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_57,c_75]) ).
tcf(c_3483,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_58,c_75]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_75]) ).
tcf(c_3485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtlbdtrb0(X2,X0),smndt0(X1)) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_3486,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_75]) ).
tcf(c_3487,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_75]) ).
tcf(c_3488,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_75]) ).
tcf(c_3489,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_75]) ).
tcf(c_3490,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_75]) ).
tcf(c_3491,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_75]) ).
tcf(c_3492,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_75]) ).
tcf(c_3493,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_75]) ).
tcf(c_3494,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_75]) ).
tcf(c_3495,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_75]) ).
tcf(c_3496,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_75]) ).
tcf(c_3497,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_75]) ).
tcf(c_3498,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_13,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_13,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_75]) ).
tcf(c_3499,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_14,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_14,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_75]) ).
tcf(c_3609,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_3610,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_57,c_76]) ).
tcf(c_3611,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_58,c_76]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),X1) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_76]) ).
tcf(c_3613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),X1) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_76]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_76]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_76]) ).
tcf(c_3616,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_76]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_76]) ).
tcf(c_3618,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_76]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_76]) ).
tcf(c_3620,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_76]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_76]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_76]) ).
tcf(c_3623,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_76]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_76]) ).
tcf(c_3625,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_76]) ).
tcf(c_3626,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_13),X0) = smndt0(sdtasdt0(iPr_def_13,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_76]) ).
tcf(c_3627,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_14),X0) = smndt0(sdtasdt0(iPr_def_14,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_76]) ).
tcf(c_3656,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3609,c_186]) ).
tcf(c_3725,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_3726,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_57,c_77]) ).
tcf(c_3727,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_58,c_77]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),smndt0(X1)) = sdtasdt0(smndt0(X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_77]) ).
tcf(c_3729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),smndt0(X1)) = sdtasdt0(sdtlbdtrb0(X2,X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_77]) ).
tcf(c_3730,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_77]) ).
tcf(c_3731,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_77]) ).
tcf(c_3732,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_77]) ).
tcf(c_3733,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_77]) ).
tcf(c_3734,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_77]) ).
tcf(c_3735,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_77]) ).
tcf(c_3736,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_77]) ).
tcf(c_3737,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_3738,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_77]) ).
tcf(c_3739,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_77]) ).
tcf(c_3740,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_77]) ).
tcf(c_3741,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_77]) ).
tcf(c_3742,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_13),smndt0(X0)) = sdtasdt0(iPr_def_13,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_77]) ).
tcf(c_3743,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_14),smndt0(X0)) = sdtasdt0(iPr_def_14,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_77]) ).
tcf(c_3772,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3725,c_186]) ).
tcf(c_3827,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_92,c_93]) ).
tcf(c_3828,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_100,c_93]) ).
tcf(c_3829,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
tcf(c_3830,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_105,c_93]) ).
tcf(c_3831,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_109,c_93]) ).
tcf(c_3865,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_106,c_54]) ).
tcf(c_3866,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_645,c_54]) ).
tcf(c_3899,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3900,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3901,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3904,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3900,c_101]) ).
tcf(c_3908,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3899,c_101]) ).
tcf(c_3928,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_86,c_79]) ).
tcf(c_3929,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_79]) ).
tcf(c_3931,plain,
( ( sz0z00 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_79]) ).
tcf(c_3932,plain,
( ( sz0z00 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_79]) ).
tcf(c_3933,plain,
( ( sz0z00 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_79]) ).
tcf(c_3934,plain,
( ( sz0z00 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_2969,c_79]) ).
tcf(c_3935,plain,
( ( sz0z00 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_2968,c_79]) ).
tcf(c_3937,plain,
( ( sz0z00 = xD )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3935,c_119,c_56]) ).
tcf(c_3940,plain,
( ( sz0z00 = xC )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3934,c_117,c_56]) ).
tcf(c_3943,plain,
( ( sz0z00 = iPr_def_13 )
| ~ sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3933,c_3155,c_56]) ).
tcf(c_3946,plain,
( ( sz0z00 = xG )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3932,c_125,c_56]) ).
tcf(c_3949,plain,
( ( sz0z00 = xF )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3931,c_123,c_56]) ).
tcf(c_3952,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_3929,c_56]) ).
tcf(c_3957,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_3928,c_56]) ).
tcf(c_4007,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_84,c_79]) ).
tcf(c_4008,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_4007,c_56]) ).
tcf(c_4028,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_128,c_85]) ).
tcf(c_4029,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_4030,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_132,c_85]) ).
tcf(c_4031,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_134,c_85]) ).
tcf(c_4032,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_136,c_85]) ).
tcf(c_4034,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_1857,c_85]) ).
tcf(c_4060,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_85,c_79]) ).
tcf(c_4061,plain,
sdtlseqdt0(sz0z00,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_4034,c_119,c_117,c_2968,c_2969]) ).
tcf(c_4062,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4032,c_133,c_129]) ).
tcf(c_4066,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_4031,c_123,c_119,c_2961,c_2968]) ).
tcf(c_4067,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4062,c_4066]) ).
tcf(c_4070,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4030,c_127,c_121]) ).
tcf(c_4074,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_4029,c_125,c_117,c_2960,c_2969]) ).
tcf(c_4075,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_4067,c_4074]) ).
tcf(c_4076,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4028,c_115,c_113]) ).
tcf(c_4080,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_4060,c_56]) ).
tcf(c_4094,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4061,c_79]) ).
tcf(c_4095,plain,
( ( sz0z00 = iPr_def_14 )
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4094,c_3156,c_56]) ).
tcf(c_4098,plain,
( ( sz0z00 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_4066,c_79]) ).
tcf(c_4099,plain,
( ( sz0z00 = xS )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4098,c_133,c_56]) ).
tcf(c_4102,plain,
( ( sz0z00 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_4074,c_79]) ).
tcf(c_4103,plain,
( ( sz0z00 = xR )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4102,c_129,c_56]) ).
tcf(c_4121,plain,
( ( sz0z00 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_4075,c_79]) ).
tcf(c_4122,plain,
( ( sz0z00 = xN )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4121,c_135,c_56]) ).
tcf(c_4146,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_83,c_4070]) ).
tcf(c_4148,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4146,c_121,c_56]) ).
tcf(c_4165,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_83,c_80]) ).
tcf(c_4167,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_84,c_80]) ).
tcf(c_4168,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_85,c_80]) ).
tcf(c_4169,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_86,c_80]) ).
tcf(c_4170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_99,c_80]) ).
tcf(c_4172,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2961,c_80]) ).
tcf(c_4173,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2960,c_80]) ).
tcf(c_4174,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_2959,c_80]) ).
tcf(c_4175,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2969,c_80]) ).
tcf(c_4176,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2968,c_80]) ).
tcf(c_4177,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_3441,c_80]) ).
tcf(c_4178,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4061,c_80]) ).
tcf(c_4179,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_4074,c_80]) ).
tcf(c_4180,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_4066,c_80]) ).
tcf(c_4181,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_4075,c_80]) ).
tcf(c_4182,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4181,c_135,c_56]) ).
tcf(c_4186,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4180,c_133,c_56]) ).
tcf(c_4190,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4179,c_129,c_56]) ).
tcf(c_4194,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4178,c_3156,c_56]) ).
tcf(c_4198,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4177,c_3156,c_3155]) ).
tcf(c_4202,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4176,c_119,c_56]) ).
tcf(c_4206,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4175,c_117,c_56]) ).
tcf(c_4210,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4174,c_3155,c_56]) ).
tcf(c_4214,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4173,c_125,c_56]) ).
tcf(c_4218,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4172,c_123,c_56]) ).
tcf(c_4228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4170,c_56]) ).
tcf(c_4234,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_4169,c_56]) ).
tcf(c_4240,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_4168,c_56]) ).
tcf(c_4249,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_4167,c_56]) ).
tcf(c_4282,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),sz00) = sdtlbdtrb0(X0,sz00) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_4283,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),szszuzczcdt0(X0)) = sdtlbdtrb0(X1,szszuzczcdt0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_4284,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),sK0(X0)) = sdtlbdtrb0(X1,sK0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_4285,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),aDimensionOf0(X0)) = sdtlbdtrb0(X1,aDimensionOf0(X0)) )
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_94]) ).
tcf(c_4286,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(xs)) = sdtlbdtrb0(X0,aDimensionOf0(xs)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_2949,c_94]) ).
tcf(c_4319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0),X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_68]) ).
tcf(c_4320,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_57,c_68]) ).
tcf(c_4321,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_58,c_68]) ).
tcf(c_4322,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_59,c_68]) ).
tcf(c_4323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtpldt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_68]) ).
tcf(c_4324,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_68]) ).
tcf(c_4325,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_68]) ).
tcf(c_4326,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_68]) ).
tcf(c_4327,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_68]) ).
tcf(c_4328,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_68]) ).
tcf(c_4329,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_68]) ).
tcf(c_4330,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_68]) ).
tcf(c_4331,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_68]) ).
tcf(c_4332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_68]) ).
tcf(c_4333,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_68]) ).
tcf(c_4334,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_68]) ).
tcf(c_4335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_68]) ).
tcf(c_4336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_13,X0),X1) = sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_68]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_14,X0),X1) = sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_68]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0),X1) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_4445,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_57,c_70]) ).
tcf(c_4446,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_58,c_70]) ).
tcf(c_4447,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_59,c_70]) ).
tcf(c_4448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtasdt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_70]) ).
tcf(c_4449,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_70]) ).
tcf(c_4450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_70]) ).
tcf(c_4451,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_70]) ).
tcf(c_4452,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_70]) ).
tcf(c_4453,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_70]) ).
tcf(c_4454,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_70]) ).
tcf(c_4455,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_70]) ).
tcf(c_4456,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_70]) ).
tcf(c_4457,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_70]) ).
tcf(c_4458,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_70]) ).
tcf(c_4459,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_133,c_70]) ).
tcf(c_4460,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_135,c_70]) ).
tcf(c_4461,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_13,X0),X1) = sdtasdt0(iPr_def_13,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_70]) ).
tcf(c_4462,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_14,X0),X1) = sdtasdt0(iPr_def_14,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_70]) ).
tcf(c_4599,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4198]) ).
tcf(c_4601,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4599,c_3155]) ).
tcf(c_4623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_80]) ).
tcf(c_4624,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4601,c_79]) ).
tcf(c_4625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4601,c_80]) ).
tcf(c_4626,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ( X0 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4601,c_79]) ).
tcf(c_4628,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ( X0 = iPr_def_13 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4626,c_3155]) ).
tcf(c_4633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4624,c_3156]) ).
tcf(c_4638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4625,c_3155]) ).
tcf(c_4644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4623,c_3156]) ).
tcf(c_4661,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,iPr_def_13)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4633]) ).
tcf(c_4665,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,iPr_def_13)
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4661,c_3156]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4638]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4690,c_3155]) ).
tcf(c_4711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4644]) ).
tcf(c_4745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_80]) ).
tcf(c_4746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4711,c_79]) ).
tcf(c_4749,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4711,c_80]) ).
tcf(c_4750,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4711,c_79]) ).
tcf(c_4751,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_4638]) ).
tcf(c_4753,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_4644]) ).
tcf(c_4754,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_80]) ).
tcf(c_4755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_79]) ).
tcf(c_4760,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_4711,c_4070]) ).
tcf(c_4773,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4760,c_121,c_56]) ).
tcf(c_4792,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4750,c_3155]) ).
tcf(c_4799,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| ( X0 = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4746,c_3156]) ).
tcf(c_4806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4749,c_3155]) ).
tcf(c_4814,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4745,c_3156]) ).
tcf(c_4842,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_4711,c_4076]) ).
tcf(c_4843,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_83,c_4076]) ).
tcf(c_4845,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4843,c_113,c_56]) ).
tcf(c_4849,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4842,c_113,c_56]) ).
tcf(c_4870,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_56,c_72]) ).
tcf(c_4871,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_57,c_72]) ).
tcf(c_4872,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_58,c_72]) ).
tcf(c_4873,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_59,c_72]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),sdtasdt0(sdtlbdtrb0(X3,X0),X2)) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_72]) ).
tcf(c_4875,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_113,c_72]) ).
tcf(c_4876,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_115,c_72]) ).
tcf(c_4877,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_117,c_72]) ).
tcf(c_4878,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_119,c_72]) ).
tcf(c_4879,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_121,c_72]) ).
tcf(c_4880,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_123,c_72]) ).
tcf(c_4881,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_125,c_72]) ).
tcf(c_4882,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_127,c_72]) ).
tcf(c_4883,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_129,c_72]) ).
tcf(c_4884,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_131,c_72]) ).
tcf(c_4885,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_133,c_72]) ).
tcf(c_4886,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_135,c_72]) ).
tcf(c_4887,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_13,X0),sdtasdt0(iPr_def_13,X1)) = sdtasdt0(iPr_def_13,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_72]) ).
tcf(c_4888,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_14,X0),sdtasdt0(iPr_def_14,X1)) = sdtasdt0(iPr_def_14,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_72]) ).
tcf(c_5017,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_56,c_73]) ).
tcf(c_5018,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_57,c_73]) ).
tcf(c_5019,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_58,c_73]) ).
tcf(c_5020,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_59,c_73]) ).
tcf(c_5021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_73]) ).
tcf(c_5022,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_113,c_73]) ).
tcf(c_5023,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_115,c_73]) ).
tcf(c_5024,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_117,c_73]) ).
tcf(c_5025,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_119,c_73]) ).
tcf(c_5026,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_121,c_73]) ).
tcf(c_5027,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_123,c_73]) ).
tcf(c_5028,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_125,c_73]) ).
tcf(c_5029,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_127,c_73]) ).
tcf(c_5030,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_129,c_73]) ).
tcf(c_5031,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_131,c_73]) ).
tcf(c_5032,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_133,c_73]) ).
tcf(c_5033,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_135,c_73]) ).
tcf(c_5034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_13,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_13,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_73]) ).
tcf(c_5035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_14,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_14,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_73]) ).
tcf(c_5140,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5141,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xt) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5142,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_97]) ).
tcf(c_5146,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5141,c_103]) ).
tcf(c_5147,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5140,c_101]) ).
tcf(c_5164,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_103,c_95]) ).
tcf(c_5165,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_103,c_95]) ).
tcf(c_5167,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_5165,c_103,c_112]) ).
tcf(c_5168,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5167,c_104,c_101]) ).
tcf(c_5172,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_5164,c_112]) ).
tcf(c_5206,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_4754]) ).
tcf(c_5207,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4754]) ).
tcf(c_5208,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4754]) ).
tcf(c_5227,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_4754]) ).
tcf(c_5250,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5227,c_3155]) ).
tcf(c_5269,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,iPr_def_13)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4711,c_4773]) ).
tcf(c_5270,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4773]) ).
tcf(c_5272,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5270,c_127,c_56]) ).
tcf(c_5277,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,iPr_def_13)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5269,c_127,c_56]) ).
tcf(c_5292,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_5277,c_80]) ).
tcf(c_5293,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ( xH = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(iPr_def_13,xH) ),
inference(superposition,[status(thm)],[c_5277,c_79]) ).
tcf(c_5294,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ( xH = iPr_def_13 )
| ~ sdtlseqdt0(iPr_def_13,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5293,c_3155,c_127]) ).
tcf(c_5300,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5292,c_3155,c_127]) ).
tcf(c_5319,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,iPr_def_13)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4711,c_4849]) ).
tcf(c_5320,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4849]) ).
tcf(c_5322,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5320,c_115,c_56]) ).
tcf(c_5327,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,iPr_def_13)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5319,c_115,c_56]) ).
tcf(c_5338,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,iPr_def_13)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4711,c_4148]) ).
tcf(c_5339,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4148]) ).
tcf(c_5341,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5339,c_127,c_56]) ).
tcf(c_5345,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,iPr_def_13)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5338,c_127,c_56]) ).
tcf(c_5364,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_2980,c_81]) ).
tcf(c_5365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2982,c_81]) ).
tcf(c_5366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2983,c_81]) ).
tcf(c_5367,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2984,c_81]) ).
tcf(c_5368,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2985,c_81]) ).
tcf(c_5369,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2986,c_81]) ).
tcf(c_5370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2987,c_81]) ).
tcf(c_5371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2988,c_81]) ).
tcf(c_5372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2989,c_81]) ).
tcf(c_5373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2990,c_81]) ).
tcf(c_5374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2991,c_81]) ).
tcf(c_5375,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2992,c_81]) ).
tcf(c_5376,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2993,c_81]) ).
tcf(c_5377,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3003,c_81]) ).
tcf(c_5378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3004,c_81]) ).
tcf(c_5379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3005,c_81]) ).
tcf(c_5380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3006,c_81]) ).
tcf(c_5381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3007,c_81]) ).
tcf(c_5382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3008,c_81]) ).
tcf(c_5383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3009,c_81]) ).
tcf(c_5384,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3010,c_81]) ).
tcf(c_5385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3011,c_81]) ).
tcf(c_5386,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3012,c_81]) ).
tcf(c_5387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3013,c_81]) ).
tcf(c_5388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3014,c_81]) ).
tcf(c_5389,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_3186,c_81]) ).
tcf(c_5390,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_3187,c_81]) ).
tcf(c_5391,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_3188,c_81]) ).
tcf(c_5392,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_3189,c_81]) ).
tcf(c_5393,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_3190,c_81]) ).
tcf(c_5394,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_3191,c_81]) ).
tcf(c_5395,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_3192,c_81]) ).
tcf(c_5396,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_3193,c_81]) ).
tcf(c_5397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3230,c_81]) ).
tcf(c_5398,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3231,c_81]) ).
tcf(c_5399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3246,c_81]) ).
tcf(c_5400,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3247,c_81]) ).
tcf(c_5401,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_2980,c_81]) ).
tcf(c_5402,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_2982,c_81]) ).
tcf(c_5403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_2983,c_81]) ).
tcf(c_5404,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_2984,c_81]) ).
tcf(c_5405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_2985,c_81]) ).
tcf(c_5406,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_2986,c_81]) ).
tcf(c_5407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_2987,c_81]) ).
tcf(c_5408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_2988,c_81]) ).
tcf(c_5409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_2989,c_81]) ).
tcf(c_5410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_2990,c_81]) ).
tcf(c_5411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_2991,c_81]) ).
tcf(c_5412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_2992,c_81]) ).
tcf(c_5413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_2993,c_81]) ).
tcf(c_5414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3003,c_81]) ).
tcf(c_5415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3004,c_81]) ).
tcf(c_5416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3005,c_81]) ).
tcf(c_5417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3006,c_81]) ).
tcf(c_5418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3007,c_81]) ).
tcf(c_5419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3008,c_81]) ).
tcf(c_5420,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3009,c_81]) ).
tcf(c_5421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3010,c_81]) ).
tcf(c_5422,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3011,c_81]) ).
tcf(c_5423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3012,c_81]) ).
tcf(c_5424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3013,c_81]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3014,c_81]) ).
tcf(c_5426,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_3186,c_81]) ).
tcf(c_5427,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_3187,c_81]) ).
tcf(c_5428,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_3188,c_81]) ).
tcf(c_5429,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_3189,c_81]) ).
tcf(c_5430,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_3190,c_81]) ).
tcf(c_5431,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_3191,c_81]) ).
tcf(c_5432,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_3192,c_81]) ).
tcf(c_5433,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_3193,c_81]) ).
tcf(c_5434,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3230,c_81]) ).
tcf(c_5435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3231,c_81]) ).
tcf(c_5436,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3246,c_81]) ).
tcf(c_5437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3247,c_81]) ).
tcf(c_5438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(iPr_def_14,X4)
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| sdtlseqdt0(X4,sdtpldt0(X2,X3))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_4754]) ).
tcf(c_5439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_4644]) ).
tcf(c_5440,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_81,c_80]) ).
tcf(c_5441,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_81,c_79]) ).
tcf(c_5442,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_5401,c_56]) ).
tcf(c_5449,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5437,c_3156,c_56]) ).
tcf(c_5455,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5436,c_3156,c_56]) ).
tcf(c_5461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5435,c_3155,c_56]) ).
tcf(c_5467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5434,c_3155,c_56]) ).
tcf(c_5473,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_5425,c_135,c_56]) ).
tcf(c_5479,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_5424,c_133,c_56]) ).
tcf(c_5485,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_5423,c_131,c_56]) ).
tcf(c_5491,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_5422,c_129,c_56]) ).
tcf(c_5497,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_5421,c_127,c_56]) ).
tcf(c_5503,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_5420,c_125,c_56]) ).
tcf(c_5509,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_5419,c_123,c_56]) ).
tcf(c_5515,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_5418,c_121,c_56]) ).
tcf(c_5521,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_5417,c_119,c_56]) ).
tcf(c_5527,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_5416,c_117,c_56]) ).
tcf(c_5533,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_5415,c_115,c_56]) ).
tcf(c_5539,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_5414,c_113,c_56]) ).
tcf(c_5545,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_5413,c_135,c_56]) ).
tcf(c_5551,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_5412,c_133,c_56]) ).
tcf(c_5557,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_5411,c_131,c_56]) ).
tcf(c_5563,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_5410,c_129,c_56]) ).
tcf(c_5569,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_5409,c_127,c_56]) ).
tcf(c_5575,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_5408,c_125,c_56]) ).
tcf(c_5581,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_5407,c_123,c_56]) ).
tcf(c_5587,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_5406,c_121,c_56]) ).
tcf(c_5593,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_5405,c_119,c_56]) ).
tcf(c_5599,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_5404,c_117,c_56]) ).
tcf(c_5605,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_5403,c_115,c_56]) ).
tcf(c_5611,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_5402,c_113,c_56]) ).
tcf(c_5617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5400,c_3156,c_56]) ).
tcf(c_5623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5399,c_3156,c_56]) ).
tcf(c_5629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5398,c_3155,c_56]) ).
tcf(c_5635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5397,c_3155,c_56]) ).
tcf(c_5641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5388,c_135,c_56]) ).
tcf(c_5647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5387,c_133,c_56]) ).
tcf(c_5653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5386,c_131,c_56]) ).
tcf(c_5659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5385,c_129,c_56]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5384,c_127,c_56]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5383,c_125,c_56]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_123,c_56]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5381,c_121,c_56]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5380,c_119,c_56]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5379,c_117,c_56]) ).
tcf(c_5701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5378,c_115,c_56]) ).
tcf(c_5707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5377,c_113,c_56]) ).
tcf(c_5713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5376,c_135,c_56]) ).
tcf(c_5719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5375,c_133,c_56]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5374,c_131,c_56]) ).
tcf(c_5731,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5373,c_129,c_56]) ).
tcf(c_5737,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5372,c_127,c_56]) ).
tcf(c_5743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5371,c_125,c_56]) ).
tcf(c_5749,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5370,c_123,c_56]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5369,c_121,c_56]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5368,c_119,c_56]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5367,c_117,c_56]) ).
tcf(c_5773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5366,c_115,c_56]) ).
tcf(c_5779,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5365,c_113,c_56]) ).
tcf(c_5785,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_5433,c_127]) ).
tcf(c_5792,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_5432,c_125]) ).
tcf(c_5799,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_5431,c_123]) ).
tcf(c_5806,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_5430,c_121]) ).
tcf(c_5813,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_5429,c_119]) ).
tcf(c_5820,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_5428,c_117]) ).
tcf(c_5827,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_5427,c_115]) ).
tcf(c_5834,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_5426,c_113]) ).
tcf(c_5841,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_5396,c_127]) ).
tcf(c_5848,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_5395,c_125]) ).
tcf(c_5855,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_5394,c_123]) ).
tcf(c_5862,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_5393,c_121]) ).
tcf(c_5869,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_5392,c_119]) ).
tcf(c_5876,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_5391,c_117]) ).
tcf(c_5883,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_5390,c_115]) ).
tcf(c_5890,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_5389,c_113]) ).
tcf(c_6097,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_124,c_87]) ).
tcf(c_6098,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_126,c_87]) ).
tcf(c_6099,plain,
! [X0: $i] :
( ( X0 = xE )
| ~ aScalar0(xE)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1856,c_87]) ).
tcf(c_6100,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_3022,c_87]) ).
tcf(c_6102,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6100,c_56,c_3265]) ).
tcf(c_6107,plain,
! [X0: $i] :
( ( X0 = xE )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6099,c_121]) ).
tcf(c_6113,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6098,c_115]) ).
tcf(c_6119,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6097,c_113]) ).
tcf(c_6145,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_106,c_91]) ).
tcf(c_6146,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_645,c_91]) ).
tcf(c_6147,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_103,c_91]) ).
tcf(c_6148,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_6146,c_109]) ).
tcf(c_6154,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_6145,c_105]) ).
tcf(c_6160,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_6147,c_101]) ).
tcf(c_6189,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_124,c_82]) ).
tcf(c_6190,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_126,c_82]) ).
tcf(c_6191,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_128,c_82]) ).
tcf(c_6192,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_130,c_82]) ).
tcf(c_6193,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_132,c_82]) ).
tcf(c_6194,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_134,c_82]) ).
tcf(c_6195,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_136,c_82]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtasdt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_1856,c_82]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtasdt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_1857,c_82]) ).
tcf(c_6198,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_3022,c_82]) ).
tcf(c_6199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3024,c_82]) ).
tcf(c_6200,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3025,c_82]) ).
tcf(c_6201,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3026,c_82]) ).
tcf(c_6202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3027,c_82]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3028,c_82]) ).
tcf(c_6204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3029,c_82]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3030,c_82]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3031,c_82]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3032,c_82]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3033,c_82]) ).
tcf(c_6209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3034,c_82]) ).
tcf(c_6210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3035,c_82]) ).
tcf(c_6211,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3045,c_82]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3046,c_82]) ).
tcf(c_6213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3047,c_82]) ).
tcf(c_6214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3048,c_82]) ).
tcf(c_6215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3049,c_82]) ).
tcf(c_6216,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3050,c_82]) ).
tcf(c_6217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3051,c_82]) ).
tcf(c_6218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3052,c_82]) ).
tcf(c_6219,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3053,c_82]) ).
tcf(c_6220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3054,c_82]) ).
tcf(c_6221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3055,c_82]) ).
tcf(c_6222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3056,c_82]) ).
tcf(c_6223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3228,c_82]) ).
tcf(c_6224,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3229,c_82]) ).
tcf(c_6225,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3244,c_82]) ).
tcf(c_6226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3245,c_82]) ).
tcf(c_6227,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_124,c_82]) ).
tcf(c_6228,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_126,c_82]) ).
tcf(c_6229,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_128,c_82]) ).
tcf(c_6230,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_130,c_82]) ).
tcf(c_6231,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_132,c_82]) ).
tcf(c_6232,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_134,c_82]) ).
tcf(c_6233,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_136,c_82]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_1856,c_82]) ).
tcf(c_6235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_1857,c_82]) ).
tcf(c_6236,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_3022,c_82]) ).
tcf(c_6237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_3024,c_82]) ).
tcf(c_6238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_3025,c_82]) ).
tcf(c_6239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_3026,c_82]) ).
tcf(c_6240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_3027,c_82]) ).
tcf(c_6241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_3028,c_82]) ).
tcf(c_6242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_3029,c_82]) ).
tcf(c_6243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_3030,c_82]) ).
tcf(c_6244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_3031,c_82]) ).
tcf(c_6245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_3032,c_82]) ).
tcf(c_6246,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_3033,c_82]) ).
tcf(c_6247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_3034,c_82]) ).
tcf(c_6248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_3035,c_82]) ).
tcf(c_6249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3045,c_82]) ).
tcf(c_6250,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3046,c_82]) ).
tcf(c_6251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3047,c_82]) ).
tcf(c_6252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3048,c_82]) ).
tcf(c_6253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3049,c_82]) ).
tcf(c_6254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3050,c_82]) ).
tcf(c_6255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3051,c_82]) ).
tcf(c_6256,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3052,c_82]) ).
tcf(c_6257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3053,c_82]) ).
tcf(c_6258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3054,c_82]) ).
tcf(c_6259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3055,c_82]) ).
tcf(c_6260,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3056,c_82]) ).
tcf(c_6261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3228,c_82]) ).
tcf(c_6262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3229,c_82]) ).
tcf(c_6263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3244,c_82]) ).
tcf(c_6264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3245,c_82]) ).
tcf(c_6265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(iPr_def_14,X4)
| sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_13)
| sdtlseqdt0(X4,sdtasdt0(X2,X3))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_4754]) ).
tcf(c_6266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtasdt0(X2,X3))
| sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_4644]) ).
tcf(c_6267,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_82,c_80]) ).
tcf(c_6268,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_82,c_79]) ).
tcf(c_6269,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_6236,c_56]) ).
tcf(c_6276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6234,c_121]) ).
tcf(c_6283,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_6228,c_115]) ).
tcf(c_6290,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_6227,c_113]) ).
tcf(c_6298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_13,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6196,c_121]) ).
tcf(c_6305,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_6190,c_115]) ).
tcf(c_6312,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_6189,c_113]) ).
tcf(c_6319,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6264,c_3156,c_56]) ).
tcf(c_6326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6263,c_3156,c_56]) ).
tcf(c_6333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6262,c_3155,c_56]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6261,c_3155,c_56]) ).
tcf(c_6347,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_6260,c_135,c_56]) ).
tcf(c_6354,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_6259,c_133,c_56]) ).
tcf(c_6361,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_6258,c_131,c_56]) ).
tcf(c_6368,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_6257,c_129,c_56]) ).
tcf(c_6375,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_6256,c_127,c_56]) ).
tcf(c_6382,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_6255,c_125,c_56]) ).
tcf(c_6389,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_6254,c_123,c_56]) ).
tcf(c_6396,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_6253,c_121,c_56]) ).
tcf(c_6403,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_6252,c_119,c_56]) ).
tcf(c_6410,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_6251,c_117,c_56]) ).
tcf(c_6417,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_6250,c_115,c_56]) ).
tcf(c_6424,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_6249,c_113,c_56]) ).
tcf(c_6431,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_6248,c_135,c_56]) ).
tcf(c_6438,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_6247,c_133,c_56]) ).
tcf(c_6445,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_6246,c_131,c_56]) ).
tcf(c_6452,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_6245,c_129,c_56]) ).
tcf(c_6459,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_6244,c_127,c_56]) ).
tcf(c_6466,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_6243,c_125,c_56]) ).
tcf(c_6473,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_6242,c_123,c_56]) ).
tcf(c_6480,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_6241,c_121,c_56]) ).
tcf(c_6487,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_6240,c_119,c_56]) ).
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,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6239,c_117,c_56]) ).
tcf(c_6501,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_6238,c_115,c_56]) ).
tcf(c_6508,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_6237,c_113,c_56]) ).
tcf(c_6515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6235,c_119,c_117]) ).
tcf(c_6522,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_6233,c_133,c_129]) ).
tcf(c_6529,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_6232,c_123,c_119]) ).
tcf(c_6536,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_6231,c_127,c_121]) ).
tcf(c_6543,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_6230,c_125,c_117]) ).
tcf(c_6550,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_6229,c_115,c_113]) ).
tcf(c_6557,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6226,c_3156,c_56,c_3265]) ).
tcf(c_6563,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6225,c_3156,c_56,c_4061]) ).
tcf(c_6569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6224,c_3155,c_56,c_3265]) ).
tcf(c_6575,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6223,c_3155,c_56,c_2959]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6222,c_135,c_56,c_4075]) ).
tcf(c_6587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6221,c_133,c_56,c_4066]) ).
tcf(c_6593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6220,c_131,c_56]) ).
tcf(c_6600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6219,c_129,c_56,c_4074]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6218,c_127,c_56]) ).
tcf(c_6613,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6217,c_125,c_56,c_2960]) ).
tcf(c_6619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6216,c_123,c_56,c_2961]) ).
tcf(c_6625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6215,c_121,c_56]) ).
tcf(c_6632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6214,c_119,c_56,c_2968]) ).
tcf(c_6638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6213,c_117,c_56,c_2969]) ).
tcf(c_6644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6212,c_115,c_56]) ).
tcf(c_6651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6211,c_113,c_56]) ).
tcf(c_6658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6210,c_135,c_56,c_3265]) ).
tcf(c_6664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6209,c_133,c_56,c_3265]) ).
tcf(c_6670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6208,c_131,c_56,c_3265]) ).
tcf(c_6676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6207,c_129,c_56,c_3265]) ).
tcf(c_6682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6206,c_127,c_56,c_3265]) ).
tcf(c_6688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6205,c_125,c_56,c_3265]) ).
tcf(c_6694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_123,c_56,c_3265]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6203,c_121,c_56,c_3265]) ).
tcf(c_6706,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6202,c_119,c_56,c_3265]) ).
tcf(c_6712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6201,c_117,c_56,c_3265]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6200,c_115,c_56,c_3265]) ).
tcf(c_6724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6199,c_113,c_56,c_3265]) ).
tcf(c_6730,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6197,c_119,c_117,c_2968]) ).
tcf(c_6736,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_6195,c_133,c_129,c_4066]) ).
tcf(c_6742,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_6194,c_123,c_119,c_2968]) ).
tcf(c_6748,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_6193,c_127,c_121]) ).
tcf(c_6755,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_6192,c_125,c_117,c_2960]) ).
tcf(c_6761,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_6191,c_115,c_113]) ).
tcf(c_6957,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_3194,c_81]) ).
tcf(c_6958,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_3194,c_81]) ).
tcf(c_6959,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_6958,c_129]) ).
tcf(c_6966,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_6957,c_129]) ).
tcf(c_6977,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_3195,c_81]) ).
tcf(c_6978,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_3195,c_81]) ).
tcf(c_6979,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_6978,c_131]) ).
tcf(c_6986,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_6977,c_131]) ).
tcf(c_6997,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_3196,c_81]) ).
tcf(c_6998,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_3196,c_81]) ).
tcf(c_6999,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_6998,c_133]) ).
tcf(c_7006,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_6997,c_133]) ).
tcf(c_7017,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_3197,c_81]) ).
tcf(c_7018,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_3197,c_81]) ).
tcf(c_7019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7018,c_135]) ).
tcf(c_7026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7017,c_135]) ).
tcf(c_7035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_5439,c_57,c_5439]) ).
tcf(c_7036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_7035]) ).
tcf(c_7037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7036,c_57,c_7036]) ).
tcf(c_7038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X1,X3))
| sdtlseqdt0(sdtpldt0(X0,X2),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_7037]) ).
tcf(c_7056,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_7038]) ).
tcf(c_7057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_7038]) ).
tcf(c_7058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_7038]) ).
tcf(c_7059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_7038]) ).
tcf(c_7060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),X4),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_7038]) ).
tcf(c_7061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasdt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtasdt0(X0,X1),X4),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_7038]) ).
tcf(c_7062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_7038]) ).
tcf(c_7063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_7038]) ).
tcf(c_7064,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_7038]) ).
tcf(c_7065,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_7038]) ).
tcf(c_7066,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3265,c_7038]) ).
tcf(c_7067,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2961,c_7038]) ).
tcf(c_7068,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2960,c_7038]) ).
tcf(c_7069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2959,c_7038]) ).
tcf(c_7070,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2969,c_7038]) ).
tcf(c_7071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2968,c_7038]) ).
tcf(c_7072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3441,c_7038]) ).
tcf(c_7073,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4061,c_7038]) ).
tcf(c_7074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_7038]) ).
tcf(c_7075,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_7038]) ).
tcf(c_7076,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_7038]) ).
tcf(c_7077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4074,c_7038]) ).
tcf(c_7078,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4066,c_7038]) ).
tcf(c_7079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4075,c_7038]) ).
tcf(c_7080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_7038]) ).
tcf(c_7081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5277,c_7038]) ).
tcf(c_7082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7066,c_56]) ).
tcf(c_7094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7079,c_135,c_56]) ).
tcf(c_7100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7078,c_133,c_56]) ).
tcf(c_7106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7077,c_129,c_56]) ).
tcf(c_7112,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7073,c_3156,c_56]) ).
tcf(c_7118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7072,c_3156,c_3155]) ).
tcf(c_7124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7071,c_119,c_56]) ).
tcf(c_7130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7070,c_117,c_56]) ).
tcf(c_7136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7069,c_3155,c_56]) ).
tcf(c_7142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7068,c_125,c_56]) ).
tcf(c_7148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7067,c_123,c_56]) ).
tcf(c_7154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7076,c_3155]) ).
tcf(c_7162,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7075,c_3156]) ).
tcf(c_7195,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7065,c_56]) ).
tcf(c_7203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7064,c_56]) ).
tcf(c_7211,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7081,c_3155,c_127]) ).
tcf(c_7220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7080,c_3155]) ).
tcf(c_7230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7074,c_3156]) ).
tcf(c_7240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7063,c_56]) ).
tcf(c_7251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7062,c_56]) ).
tcf(c_7337,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_7118]) ).
tcf(c_7338,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_7118]) ).
tcf(c_7339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7118]) ).
tcf(c_7340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7118]) ).
tcf(c_7341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_7118]) ).
tcf(c_7342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_7118]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_7118]) ).
tcf(c_7344,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_7118]) ).
tcf(c_7345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_7118]) ).
tcf(c_7346,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0)))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_7118]) ).
tcf(c_7347,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3265,c_7118]) ).
tcf(c_7348,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_7118]) ).
tcf(c_7349,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_7118]) ).
tcf(c_7350,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_7118]) ).
tcf(c_7351,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2969,c_7118]) ).
tcf(c_7352,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2968,c_7118]) ).
tcf(c_7353,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_3441,c_7118]) ).
tcf(c_7354,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4061,c_7118]) ).
tcf(c_7355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_7118]) ).
tcf(c_7356,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_7118]) ).
tcf(c_7357,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_7118]) ).
tcf(c_7358,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4074,c_7118]) ).
tcf(c_7359,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4066,c_7118]) ).
tcf(c_7360,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4075,c_7118]) ).
tcf(c_7361,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_7118]) ).
tcf(c_7362,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_5277,c_7118]) ).
tcf(c_7363,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7347,c_3231,c_3247]) ).
tcf(c_7367,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xN))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7360,c_3247]) ).
tcf(c_7368,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xS))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7359,c_3247]) ).
tcf(c_7369,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xR))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7358,c_3247]) ).
tcf(c_7370,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7354,c_3247]) ).
tcf(c_7371,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7353,c_3156,c_3155]) ).
tcf(c_7374,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xD))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7352,c_3247]) ).
tcf(c_7375,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xC))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7351,c_3247]) ).
tcf(c_7376,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7350,c_3247]) ).
tcf(c_7377,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xG))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7349,c_3247]) ).
tcf(c_7378,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,xF))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7348,c_3247]) ).
tcf(c_7379,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7357,c_3155]) ).
tcf(c_7384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7356,c_3156]) ).
tcf(c_7405,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0)))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_7346,c_3247]) ).
tcf(c_7406,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_7345,c_3247]) ).
tcf(c_7407,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7362,c_3155,c_127]) ).
tcf(c_7413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7361,c_3155]) ).
tcf(c_7420,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7355,c_3156]) ).
tcf(c_7427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_7344,c_3247]) ).
tcf(c_7428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_7343,c_3247]) ).
tcf(c_7477,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_7118]) ).
tcf(c_7478,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_7038]) ).
tcf(c_7481,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_80]) ).
tcf(c_7482,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| ( sdtpldt0(iPr_def_14,iPr_def_14) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_79]) ).
tcf(c_7483,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7477,c_3155]) ).
tcf(c_7487,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| ( sdtpldt0(iPr_def_14,iPr_def_14) = iPr_def_13 )
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7482,c_3155]) ).
tcf(c_7492,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7481,c_3155]) ).
tcf(c_7498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7478,c_3155]) ).
tcf(c_7515,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_7118]) ).
tcf(c_7516,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_7038]) ).
tcf(c_7517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_4754]) ).
tcf(c_7519,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_80]) ).
tcf(c_7520,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_79]) ).
tcf(c_7521,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7520,c_3155]) ).
tcf(c_7527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7519,c_3155]) ).
tcf(c_7534,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7515,c_3155]) ).
tcf(c_7540,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7517,c_3155]) ).
tcf(c_7548,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7516,c_3155]) ).
tcf(c_7573,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_7118]) ).
tcf(c_7574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_7038]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_4754]) ).
tcf(c_7577,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_80]) ).
tcf(c_7578,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_79]) ).
tcf(c_7580,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_4638]) ).
tcf(c_7582,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_4633]) ).
tcf(c_7583,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xA),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_7339,c_4076]) ).
tcf(c_7584,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xB),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7339,c_4849]) ).
tcf(c_7585,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xE),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7339,c_4070]) ).
tcf(c_7586,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7339,c_4148]) ).
tcf(c_7587,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7339,c_4773]) ).
tcf(c_7588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_7118]) ).
tcf(c_7589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_7038]) ).
tcf(c_7592,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),X1) ),
inference(superposition,[status(thm)],[c_7339,c_80]) ).
tcf(c_7593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ( sdtpldt0(iPr_def_13,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_7339,c_79]) ).
tcf(c_7594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_7118]) ).
tcf(c_7595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_7038]) ).
tcf(c_7596,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_4754]) ).
tcf(c_7598,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_80]) ).
tcf(c_7599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_79]) ).
tcf(c_7602,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_7339]) ).
tcf(c_7603,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_13),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,iPr_def_13)))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_13)) ),
inference(equality_factoring,[status(thm)],[c_7339]) ).
tcf(c_7604,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_13),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,iPr_def_13)))
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7603,c_3155]) ).
tcf(c_7608,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_14)),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_13,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7602,c_3156]) ).
tcf(c_7612,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7586,c_3231]) ).
tcf(c_7613,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xE),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(light_normalisation,[status(thm)],[c_7585,c_3231]) ).
tcf(c_7614,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xA),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(light_normalisation,[status(thm)],[c_7583,c_3231]) ).
tcf(c_7615,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7582,c_3156]) ).
tcf(c_7627,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xH),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7587,c_3231]) ).
tcf(c_7628,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xB),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7584,c_3231]) ).
tcf(c_7629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7580,c_3155]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7599,c_3155]) ).
tcf(c_7665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7598,c_3155]) ).
tcf(c_7674,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7594,c_3155]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ( sdtpldt0(iPr_def_13,X0) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7593,c_3156]) ).
tcf(c_7690,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7592,c_3156]) ).
tcf(c_7699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7588,c_3156]) ).
tcf(c_7707,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7596,c_3155]) ).
tcf(c_7726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7595,c_3155]) ).
tcf(c_7737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7589,c_3156]) ).
tcf(c_7827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_7118]) ).
tcf(c_7828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_7038]) ).
tcf(c_7831,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),X1) ),
inference(superposition,[status(thm)],[c_7338,c_80]) ).
tcf(c_7832,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ( sdtpldt0(iPr_def_13,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_7338,c_79]) ).
tcf(c_7833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_7118]) ).
tcf(c_7834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_7038]) ).
tcf(c_7835,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_4754]) ).
tcf(c_7837,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_80]) ).
tcf(c_7838,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_79]) ).
tcf(c_7839,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7838,c_3155]) ).
tcf(c_7848,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7837,c_3155]) ).
tcf(c_7858,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7833,c_3155]) ).
tcf(c_7867,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| ( sdtpldt0(iPr_def_13,X0) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7832,c_3156]) ).
tcf(c_7876,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7831,c_3156]) ).
tcf(c_7886,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7827,c_3156]) ).
tcf(c_7895,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7835,c_3155]) ).
tcf(c_7906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,X0),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7834,c_3155]) ).
tcf(c_7918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7828,c_3156]) ).
tcf(c_7975,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,iPr_def_13)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4711,c_4845]) ).
tcf(c_7977,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,xB),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7339,c_4845]) ).
tcf(c_7978,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4845]) ).
tcf(c_7979,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7978,c_115,c_56]) ).
tcf(c_7983,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,iPr_def_13)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7975,c_115,c_56]) ).
tcf(c_7988,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,xB),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_7977,c_3231]) ).
tcf(c_8021,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_56,c_74]) ).
tcf(c_8022,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_57,c_74]) ).
tcf(c_8023,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_58,c_74]) ).
tcf(c_8024,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_59,c_74]) ).
tcf(c_8025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(X4,X0),X2),sdtasdt0(sdtlbdtrb0(X4,X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X4,X0),X1),sdtpldt0(X2,X3)) )
| ~ aVector0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_74]) ).
tcf(c_8026,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_113,c_74]) ).
tcf(c_8027,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_115,c_74]) ).
tcf(c_8028,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_117,c_74]) ).
tcf(c_8029,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_119,c_74]) ).
tcf(c_8030,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_121,c_74]) ).
tcf(c_8031,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_123,c_74]) ).
tcf(c_8032,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_125,c_74]) ).
tcf(c_8033,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_127,c_74]) ).
tcf(c_8034,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_129,c_74]) ).
tcf(c_8035,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_131,c_74]) ).
tcf(c_8036,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_133,c_74]) ).
tcf(c_8037,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_135,c_74]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_13,X1),sdtasdt0(iPr_def_13,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_13,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3155,c_74]) ).
tcf(c_8039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_14,X1),sdtasdt0(iPr_def_14,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_14,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3156,c_74]) ).
tcf(c_8210,plain,
! [X0: $i] :
( ( sziznziztdt0(X0) = X0 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X0) ) ),
inference(equality_resolution,[status(thm)],[c_90]) ).
tcf(c_8226,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_103,c_98]) ).
tcf(c_8227,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_103,c_98]) ).
tcf(c_8228,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_98]) ).
tcf(c_8232,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_8227,c_103,c_112,c_644]) ).
tcf(c_8233,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_8232,c_104,c_101]) ).
tcf(c_8237,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_8226,c_103,c_112,c_644]) ).
tcf(c_8238,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_8237,c_101]) ).
tcf(c_8248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_3226,c_81]) ).
tcf(c_8249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_81]) ).
tcf(c_8250,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(smndt0(iPr_def_13),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_7338]) ).
tcf(c_8251,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(smndt0(iPr_def_13),X0)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_7339]) ).
tcf(c_8263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8249,c_3155]) ).
tcf(c_8270,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8248,c_3155]) ).
tcf(c_8283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_3242,c_81]) ).
tcf(c_8284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3242,c_81]) ).
tcf(c_8288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8284,c_3156]) ).
tcf(c_8295,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8283,c_3156]) ).
tcf(c_8322,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_3274,c_81]) ).
tcf(c_8323,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_3274,c_81]) ).
tcf(c_8324,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_8323,c_113]) ).
tcf(c_8331,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_8322,c_113]) ).
tcf(c_8340,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_3275,c_81]) ).
tcf(c_8341,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_3275,c_81]) ).
tcf(c_8342,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_8341,c_115]) ).
tcf(c_8349,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_8340,c_115]) ).
tcf(c_8358,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_3276,c_81]) ).
tcf(c_8359,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_3276,c_81]) ).
tcf(c_8360,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_8359,c_117]) ).
tcf(c_8367,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_8358,c_117]) ).
tcf(c_8374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_7341,c_57,c_7341]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_8374]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_8375,c_57,c_8375]) ).
tcf(c_8377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X1,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X0,X2)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_8376]) ).
tcf(c_8395,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_8377]) ).
tcf(c_8396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X3,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_8377]) ).
tcf(c_8397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X3,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_8377]) ).
tcf(c_8398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_8377]) ).
tcf(c_8399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_8377]) ).
tcf(c_8400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X2,X3),X5)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(X0,X1),X4)),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_8377]) ).
tcf(c_8401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X2,X3),X5)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X1),X4)),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_8377]) ).
tcf(c_8402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X0,X1),X3)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_8377]) ).
tcf(c_8403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X1),X3)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_8377]) ).
tcf(c_8404,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X0),X2)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_8377]) ).
tcf(c_8405,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasasdt0(X0,X0),X2)))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_8377]) ).
tcf(c_8406,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3265,c_8377]) ).
tcf(c_8407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xF,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2961,c_8377]) ).
tcf(c_8408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xG,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2960,c_8377]) ).
tcf(c_8409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2959,c_8377]) ).
tcf(c_8410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xC,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2969,c_8377]) ).
tcf(c_8411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xD,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2968,c_8377]) ).
tcf(c_8412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3441,c_8377]) ).
tcf(c_8413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4061,c_8377]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_8377]) ).
tcf(c_8415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_8377]) ).
tcf(c_8416,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_8377]) ).
tcf(c_8417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xR,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4074,c_8377]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xS,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4066,c_8377]) ).
tcf(c_8419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xN,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4075,c_8377]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_8377]) ).
tcf(c_8421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xH,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5277,c_8377]) ).
tcf(c_8422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_8377]) ).
tcf(c_8423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_8377]) ).
tcf(c_8424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_8377]) ).
tcf(c_8425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_8377]) ).
tcf(c_8426,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_8377]) ).
tcf(c_8427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_8377]) ).
tcf(c_8428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8406,c_56]) ).
tcf(c_8440,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xN,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8419,c_135,c_56]) ).
tcf(c_8446,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xS,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8418,c_133,c_56]) ).
tcf(c_8452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xR,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8417,c_129,c_56]) ).
tcf(c_8458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8413,c_3156,c_56]) ).
tcf(c_8464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8412,c_3156,c_3155]) ).
tcf(c_8470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xD,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8411,c_119,c_56]) ).
tcf(c_8476,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xC,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8410,c_117,c_56]) ).
tcf(c_8482,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8409,c_3155,c_56]) ).
tcf(c_8488,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xG,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8408,c_125,c_56]) ).
tcf(c_8494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(xF,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8407,c_123,c_56]) ).
tcf(c_8500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8416,c_3155]) ).
tcf(c_8508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8415,c_3156]) ).
tcf(c_8541,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasasdt0(X0,X0),X2)))
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8405,c_56]) ).
tcf(c_8549,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X0),X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8404,c_56]) ).
tcf(c_8557,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8427,c_3155]) ).
tcf(c_8565,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xH,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8421,c_3155,c_127]) ).
tcf(c_8574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8420,c_3155]) ).
tcf(c_8584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8414,c_3156]) ).
tcf(c_8603,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8426,c_3155]) ).
tcf(c_8612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8425,c_3155]) ).
tcf(c_8623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8423,c_3156]) ).
tcf(c_8634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X1),X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8403,c_56]) ).
tcf(c_8645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X0,X1),X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8402,c_56]) ).
tcf(c_8656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8424,c_3155]) ).
tcf(c_8668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8422,c_3156]) ).
tcf(c_8768,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_8464]) ).
tcf(c_8769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_8464]) ).
tcf(c_8770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_8464]) ).
tcf(c_8771,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_8464]) ).
tcf(c_8772,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_8464]) ).
tcf(c_8773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_8464]) ).
tcf(c_8774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X2,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_8464]) ).
tcf(c_8775,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_8464]) ).
tcf(c_8776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_8464]) ).
tcf(c_8777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_8464]) ).
tcf(c_8778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_8464]) ).
tcf(c_8779,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3265,c_8464]) ).
tcf(c_8780,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_8464]) ).
tcf(c_8781,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_8464]) ).
tcf(c_8782,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_8464]) ).
tcf(c_8783,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2969,c_8464]) ).
tcf(c_8784,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2968,c_8464]) ).
tcf(c_8785,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_3441,c_8464]) ).
tcf(c_8786,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4061,c_8464]) ).
tcf(c_8787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_8464]) ).
tcf(c_8788,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_8464]) ).
tcf(c_8789,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_8464]) ).
tcf(c_8790,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4074,c_8464]) ).
tcf(c_8791,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4066,c_8464]) ).
tcf(c_8792,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4075,c_8464]) ).
tcf(c_8793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_8464]) ).
tcf(c_8794,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_5277,c_8464]) ).
tcf(c_8795,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_8464]) ).
tcf(c_8796,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_8464]) ).
tcf(c_8797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_8464]) ).
tcf(c_8798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_8464]) ).
tcf(c_8799,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_8464]) ).
tcf(c_8800,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_8464]) ).
tcf(c_8801,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8779,c_3231,c_3247]) ).
tcf(c_8806,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN)))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8792,c_3247]) ).
tcf(c_8807,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8806,c_135,c_56]) ).
tcf(c_8810,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS)))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8791,c_3247]) ).
tcf(c_8811,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8810,c_133,c_56]) ).
tcf(c_8814,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR)))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8790,c_3247]) ).
tcf(c_8815,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8814,c_129,c_56]) ).
tcf(c_8818,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8786,c_3247]) ).
tcf(c_8819,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8818,c_3156,c_56]) ).
tcf(c_8822,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8785,c_3156,c_3155]) ).
tcf(c_8825,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD)))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8784,c_3247]) ).
tcf(c_8826,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8825,c_119,c_56]) ).
tcf(c_8829,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC)))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8783,c_3247]) ).
tcf(c_8830,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8829,c_117,c_56]) ).
tcf(c_8833,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8782,c_3247]) ).
tcf(c_8834,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8833,c_3155,c_56]) ).
tcf(c_8837,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG)))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8781,c_3247]) ).
tcf(c_8838,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8837,c_125,c_56]) ).
tcf(c_8841,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF)))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_8780,c_3247]) ).
tcf(c_8842,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8841,c_123,c_56]) ).
tcf(c_8845,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8789,c_3155]) ).
tcf(c_8850,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8788,c_3156]) ).
tcf(c_8871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_8778,c_3247]) ).
tcf(c_8872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0))))
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8871,c_56]) ).
tcf(c_8877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_8777,c_3247]) ).
tcf(c_8878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0))))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8877,c_56]) ).
tcf(c_8883,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8800,c_3155]) ).
tcf(c_8888,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8794,c_3155,c_127]) ).
tcf(c_8894,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8793,c_3155]) ).
tcf(c_8901,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8787,c_3156]) ).
tcf(c_8914,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8799,c_3155]) ).
tcf(c_8920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8798,c_3155]) ).
tcf(c_8928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8796,c_3156]) ).
tcf(c_8936,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_8776,c_3247]) ).
tcf(c_8937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8936,c_56]) ).
tcf(c_8945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_8775,c_3247]) ).
tcf(c_8946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8945,c_56]) ).
tcf(c_8954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8797,c_3155]) ).
tcf(c_8963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8795,c_3156]) ).
tcf(c_9100,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_8464]) ).
tcf(c_9101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_8377]) ).
tcf(c_9102,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_7118]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_7038]) ).
tcf(c_9106,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_80]) ).
tcf(c_9107,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_79]) ).
tcf(c_9108,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9100,c_3155]) ).
tcf(c_9112,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9106,c_3155]) ).
tcf(c_9118,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9102,c_3155]) ).
tcf(c_9123,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_13 )
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9107,c_3155]) ).
tcf(c_9128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9103,c_3155]) ).
tcf(c_9136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9101,c_3155]) ).
tcf(c_9190,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,smndt0(iPr_def_14))))
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3242,c_8768]) ).
tcf(c_9191,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3247,c_8768]) ).
tcf(c_9192,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_8464]) ).
tcf(c_9193,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_8377]) ).
tcf(c_9194,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_7118]) ).
tcf(c_9195,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_7038]) ).
tcf(c_9196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_4754]) ).
tcf(c_9198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_80]) ).
tcf(c_9199,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_79]) ).
tcf(c_9202,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,smndt0(iPr_def_14))))
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_9190,c_3247]) ).
tcf(c_9203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9198,c_3155]) ).
tcf(c_9210,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9194,c_3155]) ).
tcf(c_9216,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9199,c_3155]) ).
tcf(c_9222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9196,c_3155]) ).
tcf(c_9230,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9192,c_3155]) ).
tcf(c_9236,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9195,c_3155]) ).
tcf(c_9245,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9193,c_3155]) ).
tcf(c_9276,plain,
! [X0: $i] :
( sdtlseqdt0(smndt0(iPr_def_13),X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_8770]) ).
tcf(c_9277,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3231,c_8770]) ).
tcf(c_9278,plain,
! [X0: $i] :
( sdtlseqdt0(X0,smndt0(iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3242,c_8770]) ).
tcf(c_9279,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3247,c_8770]) ).
tcf(c_9280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_8464]) ).
tcf(c_9281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_8377]) ).
tcf(c_9282,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_7118]) ).
tcf(c_9283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_7038]) ).
tcf(c_9284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_4754]) ).
tcf(c_9286,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_80]) ).
tcf(c_9287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_79]) ).
tcf(c_9289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_4638]) ).
tcf(c_9291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_4633]) ).
tcf(c_9292,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xA)),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_8770,c_4076]) ).
tcf(c_9293,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_8770,c_4845]) ).
tcf(c_9294,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_8770,c_4849]) ).
tcf(c_9295,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xE)),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_8770,c_4070]) ).
tcf(c_9296,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_8770,c_4148]) ).
tcf(c_9297,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_8770,c_4773]) ).
tcf(c_9298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_8464]) ).
tcf(c_9299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_8377]) ).
tcf(c_9300,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_7118]) ).
tcf(c_9301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_7038]) ).
tcf(c_9304,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_8770,c_80]) ).
tcf(c_9305,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_8770,c_79]) ).
tcf(c_9306,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_8464]) ).
tcf(c_9307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_8377]) ).
tcf(c_9308,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_7118]) ).
tcf(c_9309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_7038]) ).
tcf(c_9310,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_4754]) ).
tcf(c_9312,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_80]) ).
tcf(c_9313,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_79]) ).
tcf(c_9316,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_8770]) ).
tcf(c_9317,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13))) ),
inference(equality_factoring,[status(thm)],[c_8770]) ).
tcf(c_9318,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9279,c_56]) ).
tcf(c_9323,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9277,c_56]) ).
tcf(c_9328,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(X0,smndt0(iPr_def_14))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_9278,c_3247]) ).
tcf(c_9329,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(smndt0(iPr_def_13),X0)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_9276,c_3231]) ).
tcf(c_9330,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_9296,c_3231]) ).
tcf(c_9331,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9330,c_127,c_56]) ).
tcf(c_9336,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_9293,c_3231]) ).
tcf(c_9337,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9336,c_115,c_56]) ).
tcf(c_9342,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xE)),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(light_normalisation,[status(thm)],[c_9295,c_3231]) ).
tcf(c_9343,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xE)),iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9342,c_121,c_56]) ).
tcf(c_9348,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xA)),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(light_normalisation,[status(thm)],[c_9292,c_3231]) ).
tcf(c_9349,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xA)),iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9348,c_113,c_56]) ).
tcf(c_9354,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9291,c_3156]) ).
tcf(c_9360,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9317,c_3155]) ).
tcf(c_9364,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9316,c_3156]) ).
tcf(c_9374,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_9297,c_3231]) ).
tcf(c_9375,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9374,c_127,c_56]) ).
tcf(c_9381,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_9294,c_3231]) ).
tcf(c_9382,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9381,c_115,c_56]) ).
tcf(c_9388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9289,c_3155]) ).
tcf(c_9422,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9312,c_3155]) ).
tcf(c_9431,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9308,c_3155]) ).
tcf(c_9439,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9304,c_3156]) ).
tcf(c_9448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9300,c_3156]) ).
tcf(c_9465,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9313,c_3155]) ).
tcf(c_9473,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9310,c_3155]) ).
tcf(c_9483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9305,c_3156]) ).
tcf(c_9491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9306,c_3155]) ).
tcf(c_9499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9298,c_3156]) ).
tcf(c_9516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9309,c_3155]) ).
tcf(c_9527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9301,c_3156]) ).
tcf(c_9538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9307,c_3155]) ).
tcf(c_9549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9299,c_3156]) ).
tcf(c_9633,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(smndt0(iPr_def_13),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_8769]) ).
tcf(c_9635,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(iPr_def_14,smndt0(iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3242,c_8769]) ).
tcf(c_9636,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3247,c_8769]) ).
tcf(c_9637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_8464]) ).
tcf(c_9638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_8377]) ).
tcf(c_9639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_7118]) ).
tcf(c_9640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_7038]) ).
tcf(c_9643,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_8769,c_80]) ).
tcf(c_9644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_8769,c_79]) ).
tcf(c_9645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_8464]) ).
tcf(c_9646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_8377]) ).
tcf(c_9647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_7118]) ).
tcf(c_9648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_7038]) ).
tcf(c_9649,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_4754]) ).
tcf(c_9651,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_80]) ).
tcf(c_9652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_79]) ).
tcf(c_9653,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9636,c_56]) ).
tcf(c_9659,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(iPr_def_14,smndt0(iPr_def_14))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_9635,c_3247]) ).
tcf(c_9660,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(smndt0(iPr_def_13),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_9633,c_3231]) ).
tcf(c_9661,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9651,c_3155]) ).
tcf(c_9671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9647,c_3155]) ).
tcf(c_9680,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9643,c_3156]) ).
tcf(c_9690,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9639,c_3156]) ).
tcf(c_9699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9652,c_3155]) ).
tcf(c_9708,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9649,c_3155]) ).
tcf(c_9719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9644,c_3156]) ).
tcf(c_9728,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9645,c_3155]) ).
tcf(c_9737,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9637,c_3156]) ).
tcf(c_9746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9648,c_3155]) ).
tcf(c_9758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9640,c_3156]) ).
tcf(c_9770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9646,c_3155]) ).
tcf(c_9782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9638,c_3156]) ).
tcf(c_9818,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,smndt0(iPr_def_13)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3226,c_8771]) ).
tcf(c_9819,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3231,c_8771]) ).
tcf(c_9820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,smndt0(iPr_def_14)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3242,c_8771]) ).
tcf(c_9821,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3247,c_8771]) ).
tcf(c_9822,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_8464]) ).
tcf(c_9823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_8377]) ).
tcf(c_9824,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_7118]) ).
tcf(c_9825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_7038]) ).
tcf(c_9828,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_8771,c_80]) ).
tcf(c_9829,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_8771,c_79]) ).
tcf(c_9830,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_8464]) ).
tcf(c_9831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_8377]) ).
tcf(c_9832,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_7118]) ).
tcf(c_9833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_7038]) ).
tcf(c_9834,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_4754]) ).
tcf(c_9836,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_80]) ).
tcf(c_9837,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_79]) ).
tcf(c_9838,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_9821,c_3231]) ).
tcf(c_9839,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_9819,c_3247]) ).
tcf(c_9840,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,smndt0(iPr_def_14)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_9820,c_3247]) ).
tcf(c_9841,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,smndt0(iPr_def_13)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_9818,c_3231]) ).
tcf(c_9842,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9836,c_3155]) ).
tcf(c_9852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9832,c_3155]) ).
tcf(c_9861,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9828,c_3156]) ).
tcf(c_9871,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9824,c_3156]) ).
tcf(c_9880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9837,c_3155]) ).
tcf(c_9889,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9834,c_3155]) ).
tcf(c_9900,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9829,c_3156]) ).
tcf(c_9909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9830,c_3155]) ).
tcf(c_9918,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9822,c_3156]) ).
tcf(c_9927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9833,c_3155]) ).
tcf(c_9939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9825,c_3156]) ).
tcf(c_9951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9831,c_3155]) ).
tcf(c_9963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9823,c_3156]) ).
tcf(c_9998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xH,X0)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_8377]) ).
tcf(c_10000,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_7038]) ).
tcf(c_10003,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_5272,c_80]) ).
tcf(c_10004,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_5272,c_79]) ).
tcf(c_10005,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10004,c_127,c_56]) ).
tcf(c_10011,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10003,c_127,c_56]) ).
tcf(c_10018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10000,c_127,c_56]) ).
tcf(c_10027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xH,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9998,c_127,c_56]) ).
tcf(c_10040,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_3277,c_81]) ).
tcf(c_10041,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_3277,c_81]) ).
tcf(c_10042,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_10041,c_119]) ).
tcf(c_10049,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_10040,c_119]) ).
tcf(c_10058,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_3278,c_81]) ).
tcf(c_10059,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_3278,c_81]) ).
tcf(c_10060,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_10059,c_121]) ).
tcf(c_10067,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_10058,c_121]) ).
tcf(c_10088,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_3279,c_81]) ).
tcf(c_10089,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_3279,c_81]) ).
tcf(c_10090,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_10089,c_123]) ).
tcf(c_10097,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_10088,c_123]) ).
tcf(c_10106,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_3280,c_81]) ).
tcf(c_10107,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_3280,c_81]) ).
tcf(c_10108,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_10107,c_125]) ).
tcf(c_10115,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_10106,c_125]) ).
tcf(c_10124,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_3281,c_81]) ).
tcf(c_10125,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_3281,c_81]) ).
tcf(c_10126,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_10125,c_127]) ).
tcf(c_10133,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_10124,c_127]) ).
tcf(c_10142,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_3282,c_81]) ).
tcf(c_10143,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_3282,c_81]) ).
tcf(c_10144,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_10143,c_129]) ).
tcf(c_10151,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_10142,c_129]) ).
tcf(c_10160,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_3283,c_81]) ).
tcf(c_10161,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_3283,c_81]) ).
tcf(c_10162,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_10161,c_131]) ).
tcf(c_10169,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_10160,c_131]) ).
tcf(c_10178,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_3284,c_81]) ).
tcf(c_10179,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_3284,c_81]) ).
tcf(c_10180,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_10179,c_133]) ).
tcf(c_10187,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_10178,c_133]) ).
tcf(c_10196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_7342,c_58,c_7342]) ).
tcf(c_10197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_10196]) ).
tcf(c_10198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_10197,c_58,c_10197]) ).
tcf(c_10199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X1,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X0,X2)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_10198]) ).
tcf(c_10219,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_10199]) ).
tcf(c_10220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X3,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_10199]) ).
tcf(c_10221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X3,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_10199]) ).
tcf(c_10222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_10199]) ).
tcf(c_10223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_10199]) ).
tcf(c_10224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_10199]) ).
tcf(c_10225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(X2,X3),X5)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(X0,X1),X4)),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_10199]) ).
tcf(c_10226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasdt0(X2,X3),X5)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtasdt0(X0,X1),X4)),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_10199]) ).
tcf(c_10227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(X0,X1),X3)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_10199]) ).
tcf(c_10228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasdt0(X0,X1),X3)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_10199]) ).
tcf(c_10229,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasdt0(X0,X0),X2)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_10199]) ).
tcf(c_10230,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasasdt0(X0,X0),X2)))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_10199]) ).
tcf(c_10231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3265,c_10199]) ).
tcf(c_10232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xF,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2961,c_10199]) ).
tcf(c_10233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xG,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2960,c_10199]) ).
tcf(c_10234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2959,c_10199]) ).
tcf(c_10235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xC,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2969,c_10199]) ).
tcf(c_10236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xD,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2968,c_10199]) ).
tcf(c_10237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3441,c_10199]) ).
tcf(c_10238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4061,c_10199]) ).
tcf(c_10239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_10199]) ).
tcf(c_10240,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_10199]) ).
tcf(c_10241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_10199]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xR,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4074,c_10199]) ).
tcf(c_10243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xS,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4066,c_10199]) ).
tcf(c_10244,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xN,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4075,c_10199]) ).
tcf(c_10245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_10199]) ).
tcf(c_10246,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xH,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5277,c_10199]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xH,X0)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_10199]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_10199]) ).
tcf(c_10249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_10199]) ).
tcf(c_10250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_10199]) ).
tcf(c_10251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_10199]) ).
tcf(c_10252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_10199]) ).
tcf(c_10253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_10199]) ).
tcf(c_10254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_10199]) ).
tcf(c_10255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_10199]) ).
tcf(c_10256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_10199]) ).
tcf(c_10257,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_10199]) ).
tcf(c_10258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_10199]) ).
tcf(c_10259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_10199]) ).
tcf(c_10260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_10199]) ).
tcf(c_10261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_10199]) ).
tcf(c_10262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10231,c_56]) ).
tcf(c_10276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xN,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10244,c_135,c_56]) ).
tcf(c_10283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xS,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10243,c_133,c_56]) ).
tcf(c_10290,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xR,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10242,c_129,c_56]) ).
tcf(c_10297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10238,c_3156,c_56]) ).
tcf(c_10304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10237,c_3156,c_3155]) ).
tcf(c_10311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xD,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10236,c_119,c_56]) ).
tcf(c_10318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xC,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10235,c_117,c_56]) ).
tcf(c_10325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10234,c_3155,c_56]) ).
tcf(c_10332,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xG,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10233,c_125,c_56]) ).
tcf(c_10339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(xF,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10232,c_123,c_56]) ).
tcf(c_10346,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X2,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10241,c_3155]) ).
tcf(c_10355,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10240,c_3156]) ).
tcf(c_10392,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasasdt0(X0,X0),X2)))
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10230,c_56]) ).
tcf(c_10401,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasdt0(X0,X0),X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10229,c_56]) ).
tcf(c_10410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,iPr_def_14),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10253,c_3155]) ).
tcf(c_10419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xH,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10247,c_127,c_56]) ).
tcf(c_10429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xH,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10246,c_3155,c_127]) ).
tcf(c_10439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10245,c_3155]) ).
tcf(c_10450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10239,c_3156]) ).
tcf(c_10471,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10252,c_3155]) ).
tcf(c_10491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10254,c_3155]) ).
tcf(c_10500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10257,c_3155]) ).
tcf(c_10510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10251,c_3155]) ).
tcf(c_10522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10249,c_3156]) ).
tcf(c_10534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtasdt0(X0,X1),X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10228,c_56]) ).
tcf(c_10546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sz0z00,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(X0,X1),X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10227,c_56]) ).
tcf(c_10558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,X0),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10250,c_3155]) ).
tcf(c_10571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,X0),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10248,c_3156]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10259,c_3156]) ).
tcf(c_10596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10256,c_3155]) ).
tcf(c_10608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10258,c_3156]) ).
tcf(c_10621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10255,c_3155]) ).
tcf(c_10648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10261,c_3155]) ).
tcf(c_10661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10260,c_3156]) ).
tcf(c_10820,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_78,c_10304]) ).
tcf(c_10821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_4711,c_10304]) ).
tcf(c_10823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_8770,c_10304]) ).
tcf(c_10824,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_7339,c_10304]) ).
tcf(c_10825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_83,c_10304]) ).
tcf(c_10826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(X2,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(X0,X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_10304]) ).
tcf(c_10827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasdt0(X2,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtasdt0(X0,X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_10304]) ).
tcf(c_10828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_10304]) ).
tcf(c_10829,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasdt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_10304]) ).
tcf(c_10830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_10304]) ).
tcf(c_10831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_10304]) ).
tcf(c_10832,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3265,c_10304]) ).
tcf(c_10833,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xF)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_10304]) ).
tcf(c_10834,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xG)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_10304]) ).
tcf(c_10835,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_10304]) ).
tcf(c_10836,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xC)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2969,c_10304]) ).
tcf(c_10837,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_2968,c_10304]) ).
tcf(c_10838,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3441,c_10304]) ).
tcf(c_10839,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_4061,c_10304]) ).
tcf(c_10840,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4711,c_10304]) ).
tcf(c_10841,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4601,c_10304]) ).
tcf(c_10842,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_4601,c_10304]) ).
tcf(c_10843,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xR)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_4074,c_10304]) ).
tcf(c_10844,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_4066,c_10304]) ).
tcf(c_10845,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xN)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sz0z00)),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_4075,c_10304]) ).
tcf(c_10846,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_4711,c_10304]) ).
tcf(c_10847,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_5277,c_10304]) ).
tcf(c_10848,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_5272,c_10304]) ).
tcf(c_10849,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_10304]) ).
tcf(c_10850,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_10304]) ).
tcf(c_10851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_10304]) ).
tcf(c_10852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_10304]) ).
tcf(c_10853,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_10304]) ).
tcf(c_10854,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_10304]) ).
tcf(c_10855,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_10304]) ).
tcf(c_10856,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_10304]) ).
tcf(c_10857,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_10304]) ).
tcf(c_10858,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_10304]) ).
tcf(c_10859,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_10304]) ).
tcf(c_10860,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_10304]) ).
tcf(c_10861,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_10304]) ).
tcf(c_10862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_10304]) ).
tcf(c_10863,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10832,c_3229,c_3231,c_3245,c_3247]) ).
tcf(c_10868,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xN)))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10845,c_3245,c_3247]) ).
tcf(c_10869,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xS)))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10844,c_3245,c_3247]) ).
tcf(c_10870,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xR)))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10843,c_3245,c_3247]) ).
tcf(c_10871,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10839,c_3245,c_3247]) ).
tcf(c_10872,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10838,c_3156,c_3155,c_4061]) ).
tcf(c_10875,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xD)))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10837,c_3245,c_3247]) ).
tcf(c_10876,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xC)))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10836,c_3245,c_3247]) ).
tcf(c_10877,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10835,c_3245,c_3247]) ).
tcf(c_10878,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xG)))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10834,c_3245,c_3247]) ).
tcf(c_10879,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,xF)))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10833,c_3245,c_3247]) ).
tcf(c_10880,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10842,c_3155]) ).
tcf(c_10886,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10841,c_3156,c_4061]) ).
tcf(c_10904,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_10831,c_3245,c_3247]) ).
tcf(c_10905,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasdt0(X0,X0))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_10830,c_3245,c_3247]) ).
tcf(c_10906,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(light_normalisation,[status(thm)],[c_10848,c_3229,c_3231]) ).
tcf(c_10907,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10847,c_3155,c_127]) ).
tcf(c_10914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10846,c_3155]) ).
tcf(c_10922,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10840,c_3156,c_4061]) ).
tcf(c_10936,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10854,c_3155]) ).
tcf(c_10942,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10853,c_3155]) ).
tcf(c_10956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10850,c_3156,c_4061]) ).
tcf(c_10964,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtasdt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_10829,c_3245,c_3247]) ).
tcf(c_10965,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(X0,X1))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_10828,c_3245,c_3247]) ).
tcf(c_10966,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10855,c_3155]) ).
tcf(c_10972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10852,c_3155]) ).
tcf(c_10981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10849,c_3156,c_4061]) ).
tcf(c_10990,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10858,c_3155]) ).
tcf(c_10997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10851,c_3155]) ).
tcf(c_11007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10860,c_3156,c_4061]) ).
tcf(c_11015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10859,c_3156,c_4061]) ).
tcf(c_11024,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10857,c_3155]) ).
tcf(c_11044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10861,c_3156,c_4061]) ).
tcf(c_11053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10856,c_3155]) ).
tcf(c_11075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10862,c_3155]) ).
tcf(c_11265,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_10304]) ).
tcf(c_11266,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_10199]) ).
tcf(c_11267,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_8464]) ).
tcf(c_11268,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_8377]) ).
tcf(c_11269,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_7118]) ).
tcf(c_11270,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_7038]) ).
tcf(c_11273,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_80]) ).
tcf(c_11274,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_79]) ).
tcf(c_11275,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11273,c_3155]) ).
tcf(c_11281,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11269,c_3155]) ).
tcf(c_11286,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)) = iPr_def_13 )
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11274,c_3155]) ).
tcf(c_11291,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11267,c_3155]) ).
tcf(c_11296,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11265,c_3155]) ).
tcf(c_11301,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11270,c_3155]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11268,c_3155]) ).
tcf(c_11317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11266,c_3155]) ).
tcf(c_11382,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3245,c_10820]) ).
tcf(c_11383,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_10304]) ).
tcf(c_11384,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_10199]) ).
tcf(c_11385,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_8464]) ).
tcf(c_11386,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_8377]) ).
tcf(c_11387,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_7118]) ).
tcf(c_11388,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_7038]) ).
tcf(c_11389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_4754]) ).
tcf(c_11391,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_80]) ).
tcf(c_11392,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_79]) ).
tcf(c_11394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11391,c_3155]) ).
tcf(c_11402,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11387,c_3155]) ).
tcf(c_11409,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11392,c_3155]) ).
tcf(c_11416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11389,c_3155]) ).
tcf(c_11425,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11385,c_3155]) ).
tcf(c_11432,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11388,c_3155]) ).
tcf(c_11442,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11383,c_3155]) ).
tcf(c_11450,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11386,c_3155]) ).
tcf(c_11460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11384,c_3155]) ).
tcf(c_11594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3245,c_10825]) ).
tcf(c_11595,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10825,c_10304]) ).
tcf(c_11596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_10199]) ).
tcf(c_11598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_8377]) ).
tcf(c_11600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_7038]) ).
tcf(c_11601,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10825,c_4754]) ).
tcf(c_11603,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_80]) ).
tcf(c_11604,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_79]) ).
tcf(c_11608,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14) ),
inference(superposition,[status(thm)],[c_10825,c_4633]) ).
tcf(c_11609,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xA)),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_10825,c_4076]) ).
tcf(c_11610,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_10825,c_4845]) ).
tcf(c_11611,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_10825,c_4849]) ).
tcf(c_11612,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xE)),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_10825,c_4070]) ).
tcf(c_11613,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_10825,c_4148]) ).
tcf(c_11615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_10304]) ).
tcf(c_11616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_10199]) ).
tcf(c_11617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_8464]) ).
tcf(c_11618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_8377]) ).
tcf(c_11619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_7118]) ).
tcf(c_11620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_7038]) ).
tcf(c_11623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_10825,c_80]) ).
tcf(c_11624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_10825,c_79]) ).
tcf(c_11625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_10304]) ).
tcf(c_11626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_10199]) ).
tcf(c_11627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_8464]) ).
tcf(c_11628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_8377]) ).
tcf(c_11629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_7118]) ).
tcf(c_11630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_7038]) ).
tcf(c_11631,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_4754]) ).
tcf(c_11633,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_80]) ).
tcf(c_11634,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_79]) ).
tcf(c_11637,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_10825]) ).
tcf(c_11638,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13)))))
| ~ aScalar0(iPr_def_13)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13))) ),
inference(equality_factoring,[status(thm)],[c_10825]) ).
tcf(c_11639,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_11594,c_3247]) ).
tcf(c_11640,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xH)),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(light_normalisation,[status(thm)],[c_11613,c_3229,c_3231]) ).
tcf(c_11641,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(light_normalisation,[status(thm)],[c_11610,c_3229,c_3231]) ).
tcf(c_11642,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xE)),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(light_normalisation,[status(thm)],[c_11612,c_3229,c_3231]) ).
tcf(c_11643,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xA)),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(light_normalisation,[status(thm)],[c_11609,c_3229,c_3231]) ).
tcf(c_11644,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11608,c_3156,c_4061]) ).
tcf(c_11650,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13)))))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11638,c_3155,c_2959]) ).
tcf(c_11661,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,xB)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(light_normalisation,[status(thm)],[c_11611,c_3229,c_3231]) ).
tcf(c_11670,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11637,c_3156]) ).
tcf(c_11692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11633,c_3155]) ).
tcf(c_11702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11629,c_3155]) ).
tcf(c_11711,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11623,c_3156]) ).
tcf(c_11721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11619,c_3156]) ).
tcf(c_11740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11634,c_3155]) ).
tcf(c_11749,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11631,c_3155]) ).
tcf(c_11760,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11624,c_3156]) ).
tcf(c_11769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11627,c_3155]) ).
tcf(c_11778,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11617,c_3156]) ).
tcf(c_11797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11615,c_3156,c_4061]) ).
tcf(c_11817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11630,c_3155]) ).
tcf(c_11829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11620,c_3156]) ).
tcf(c_11841,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11625,c_3155]) ).
tcf(c_11851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11628,c_3155]) ).
tcf(c_11863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11618,c_3156]) ).
tcf(c_11875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11626,c_3155]) ).
tcf(c_11888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_3156]) ).
tcf(c_12018,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3245,c_10821]) ).
tcf(c_12019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_10304]) ).
tcf(c_12020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_10199]) ).
tcf(c_12021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_8464]) ).
tcf(c_12022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_8377]) ).
tcf(c_12023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_7118]) ).
tcf(c_12024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_7038]) ).
tcf(c_12027,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_10821,c_80]) ).
tcf(c_12028,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_10821,c_79]) ).
tcf(c_12029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_10304]) ).
tcf(c_12030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_10199]) ).
tcf(c_12031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_8464]) ).
tcf(c_12032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_8377]) ).
tcf(c_12033,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_7118]) ).
tcf(c_12034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_7038]) ).
tcf(c_12035,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_4754]) ).
tcf(c_12037,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_80]) ).
tcf(c_12038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_79]) ).
tcf(c_12039,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12018,c_3247]) ).
tcf(c_12040,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12037,c_3155]) ).
tcf(c_12051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12033,c_3155]) ).
tcf(c_12061,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12027,c_3156]) ).
tcf(c_12072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12023,c_3156]) ).
tcf(c_12082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12038,c_3155]) ).
tcf(c_12092,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12035,c_3155]) ).
tcf(c_12104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12028,c_3156]) ).
tcf(c_12114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12031,c_3155]) ).
tcf(c_12124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12021,c_3156]) ).
tcf(c_12134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12019,c_3156,c_4061]) ).
tcf(c_12144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12034,c_3155]) ).
tcf(c_12157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12024,c_3156]) ).
tcf(c_12170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12029,c_3155]) ).
tcf(c_12181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12032,c_3155]) ).
tcf(c_12194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12022,c_3156]) ).
tcf(c_12207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12030,c_3155]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12020,c_3156]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xB,X0)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5322,c_10199]) ).
tcf(c_12341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xB,X0)),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5322,c_8377]) ).
tcf(c_12343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5322,c_7038]) ).
tcf(c_12346,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_5322,c_80]) ).
tcf(c_12347,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_5322,c_79]) ).
tcf(c_12348,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12347,c_115,c_56]) ).
tcf(c_12354,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12346,c_115,c_56]) ).
tcf(c_12361,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12343,c_115,c_56]) ).
tcf(c_12370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(xB,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12341,c_115,c_56]) ).
tcf(c_12379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sz0z00,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(xB,X0)),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12339,c_115,c_56]) ).
tcf(c_12394,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_3285,c_81]) ).
tcf(c_12395,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_3285,c_81]) ).
tcf(c_12396,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12395,c_135]) ).
tcf(c_12403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12394,c_135]) ).
tcf(c_12412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_3286,c_81]) ).
tcf(c_12413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3286,c_81]) ).
tcf(c_12414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12413,c_3155]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13))
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12412,c_3155]) ).
tcf(c_12430,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_3287,c_81]) ).
tcf(c_12431,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3287,c_81]) ).
tcf(c_12432,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(X1,iPr_def_14)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12431,c_3156]) ).
tcf(c_12439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12430,c_3156]) ).
tcf(c_12454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasasdt0(X3,X3),X1),sdtasdt0(sdtasasdt0(X3,X3),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasasdt0(X3,X3),X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_74]) ).
tcf(c_12455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_73]) ).
tcf(c_12456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtasdt0(sdtasasdt0(X2,X2),X1)) = sdtasdt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_72]) ).
tcf(c_12457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasasdt0(X2,X2),X0),X1) = sdtasdt0(sdtasasdt0(X2,X2),sdtasdt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_70]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) = sdtpldt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_68]) ).
tcf(c_12459,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),smndt0(X0)) = sdtasdt0(sdtasasdt0(X1,X1),X0) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_77]) ).
tcf(c_12460,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_76]) ).
tcf(c_12461,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasasdt0(X1,X1),smndt0(X0)) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_75]) ).
tcf(c_12462,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_65]) ).
tcf(c_12463,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_64]) ).
tcf(c_12464,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_66]) ).
tcf(c_12465,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_63]) ).
tcf(c_12466,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_62]) ).
tcf(c_12467,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_61]) ).
tcf(c_12468,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3901,c_60]) ).
tcf(c_12551,plain,
( aScalar0(sdtlbdtrb0(xs,sz00))
| ~ aVector0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3371,c_89]) ).
tcf(c_12552,plain,
aScalar0(sdtlbdtrb0(xs,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12551,c_105,c_49]) ).
tcf(c_12553,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_12552,c_74]) ).
tcf(c_12554,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_12552,c_73]) ).
tcf(c_12555,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_12552,c_72]) ).
tcf(c_12556,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_12552,c_70]) ).
tcf(c_12557,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_12552,c_68]) ).
tcf(c_12558,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),smndt0(X0)) = sdtasdt0(sdtlbdtrb0(xs,sz00),X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12552,c_77]) ).
tcf(c_12559,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(xs,sz00)),X0) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12552,c_76]) ).
tcf(c_12560,plain,
! [X0: $i] :
( ( sdtasdt0(sdtlbdtrb0(xs,sz00),smndt0(X0)) = smndt0(sdtasdt0(sdtlbdtrb0(xs,sz00),X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12552,c_75]) ).
tcf(c_12561,plain,
sdtpldt0(smndt0(sdtlbdtrb0(xs,sz00)),sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_12552,c_65]) ).
tcf(c_12562,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),smndt0(sdtlbdtrb0(xs,sz00))) = sz0z00,
inference(superposition,[status(thm)],[c_12552,c_64]) ).
tcf(c_12563,plain,
smndt0(smndt0(sdtlbdtrb0(xs,sz00))) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_12552,c_66]) ).
tcf(c_12564,plain,
sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sz0z00,
inference(superposition,[status(thm)],[c_12552,c_63]) ).
tcf(c_12565,plain,
sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_12552,c_62]) ).
tcf(c_12566,plain,
sdtpldt0(sz0z00,sdtlbdtrb0(xs,sz00)) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_12552,c_61]) ).
tcf(c_12567,plain,
sdtpldt0(sdtlbdtrb0(xs,sz00),sz0z00) = sdtlbdtrb0(xs,sz00),
inference(superposition,[status(thm)],[c_12552,c_60]) ).
tcf(c_12700,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3229,c_10824]) ).
tcf(c_12701,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3245,c_10824]) ).
tcf(c_12702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_14)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_10304]) ).
tcf(c_12703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_10199]) ).
tcf(c_12704,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_8464]) ).
tcf(c_12705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_8377]) ).
tcf(c_12706,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_7118]) ).
tcf(c_12707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_7038]) ).
tcf(c_12710,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(superposition,[status(thm)],[c_10824,c_80]) ).
tcf(c_12711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_10824,c_79]) ).
tcf(c_12712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_10304]) ).
tcf(c_12713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_10199]) ).
tcf(c_12714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_8464]) ).
tcf(c_12715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_8377]) ).
tcf(c_12716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_7118]) ).
tcf(c_12717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_7038]) ).
tcf(c_12718,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_4754]) ).
tcf(c_12720,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_80]) ).
tcf(c_12721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_79]) ).
tcf(c_12722,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12701,c_3231,c_3247]) ).
tcf(c_12723,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(light_normalisation,[status(thm)],[c_12700,c_3231,c_3247]) ).
tcf(c_12724,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12720,c_3155]) ).
tcf(c_12735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12716,c_3155]) ).
tcf(c_12745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12710,c_3156]) ).
tcf(c_12756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12706,c_3156]) ).
tcf(c_12766,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12721,c_3155]) ).
tcf(c_12776,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12718,c_3155]) ).
tcf(c_12788,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)) = iPr_def_14 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12711,c_3156]) ).
tcf(c_12798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12714,c_3155]) ).
tcf(c_12808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12704,c_3156]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12702,c_3156,c_4061]) ).
tcf(c_12828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12717,c_3155]) ).
tcf(c_12841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12707,c_3156]) ).
tcf(c_12854,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12712,c_3155]) ).
tcf(c_12865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12715,c_3155]) ).
tcf(c_12878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12705,c_3156]) ).
tcf(c_12891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12713,c_3155]) ).
tcf(c_12905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12703,c_3156]) ).
tcf(c_12958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(superposition,[status(thm)],[c_3245,c_10823]) ).
tcf(c_12959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sz0z00),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,smndt0(iPr_def_14))))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3242,c_10823]) ).
tcf(c_12960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3247,c_10823]) ).
tcf(c_12961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_10304]) ).
tcf(c_12962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_10199]) ).
tcf(c_12963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_8464]) ).
tcf(c_12964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_8377]) ).
tcf(c_12965,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_7118]) ).
tcf(c_12966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_7038]) ).
tcf(c_12967,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_4754]) ).
tcf(c_12969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_80]) ).
tcf(c_12970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_79]) ).
tcf(c_12971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_10304]) ).
tcf(c_12972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_10199]) ).
tcf(c_12973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_8464]) ).
tcf(c_12974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_8377]) ).
tcf(c_12975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_7118]) ).
tcf(c_12976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_7038]) ).
tcf(c_12977,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_4754]) ).
tcf(c_12979,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_80]) ).
tcf(c_12980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_79]) ).
tcf(c_12981,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_14),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(light_normalisation,[status(thm)],[c_12960,c_3229,c_3231]) ).
tcf(c_12982,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12958,c_3231,c_3247]) ).
tcf(c_12983,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,smndt0(iPr_def_14))))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14))
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(light_normalisation,[status(thm)],[c_12959,c_3247]) ).
tcf(c_12984,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12979,c_3155]) ).
tcf(c_12995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12975,c_3155]) ).
tcf(c_13005,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12969,c_3155]) ).
tcf(c_13016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12965,c_3155]) ).
tcf(c_13026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12980,c_3155]) ).
tcf(c_13036,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12977,c_3155]) ).
tcf(c_13048,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ( sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)) = iPr_def_13 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12970,c_3155]) ).
tcf(c_13058,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12967,c_3155]) ).
tcf(c_13070,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12973,c_3155]) ).
tcf(c_13080,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12963,c_3155]) ).
tcf(c_13090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12976,c_3155]) ).
tcf(c_13103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X2))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12966,c_3155]) ).
tcf(c_13116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12971,c_3155]) ).
tcf(c_13127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12961,c_3155]) ).
tcf(c_13138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12974,c_3155]) ).
tcf(c_13151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12964,c_3155]) ).
tcf(c_13164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12972,c_3155]) ).
tcf(c_13178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X2)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1)),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12962,c_3155]) ).
tcf(c_13223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_8773,c_57,c_8773]) ).
tcf(c_13224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_13223]) ).
tcf(c_13225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_13224,c_57,c_13224]) ).
tcf(c_13226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X1,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X0,X2))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_13225]) ).
tcf(c_13244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X0))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_13226]) ).
tcf(c_13245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X3,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_13226]) ).
tcf(c_13246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X3,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_13226]) ).
tcf(c_13247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10825,c_13226]) ).
tcf(c_13248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_13226]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X2),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7339,c_13226]) ).
tcf(c_13250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_13226]) ).
tcf(c_13251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X2,X3),X5))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(X0,X1),X4))),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_13226]) ).
tcf(c_13252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X2,X3),X5))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtasdt0(X0,X1),X4))),iPr_def_13)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_13226]) ).
tcf(c_13253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X0,X1),X3))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_13226]) ).
tcf(c_13254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X1),X3))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_13226]) ).
tcf(c_13255,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X0),X2))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_13226]) ).
tcf(c_13256,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasasdt0(X0,X0),X2))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_13226]) ).
tcf(c_13257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3265,c_13226]) ).
tcf(c_13258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xF,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2961,c_13226]) ).
tcf(c_13259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xG,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2960,c_13226]) ).
tcf(c_13260,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2959,c_13226]) ).
tcf(c_13261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xC,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2969,c_13226]) ).
tcf(c_13262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xD,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2968,c_13226]) ).
tcf(c_13263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3441,c_13226]) ).
tcf(c_13264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4061,c_13226]) ).
tcf(c_13265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_13226]) ).
tcf(c_13266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_13226]) ).
tcf(c_13267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4601,c_13226]) ).
tcf(c_13268,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xR,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4074,c_13226]) ).
tcf(c_13269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xS,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4066,c_13226]) ).
tcf(c_13270,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xN,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4075,c_13226]) ).
tcf(c_13271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4711,c_13226]) ).
tcf(c_13272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xH,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5277,c_13226]) ).
tcf(c_13273,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xH,X0))),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_13226]) ).
tcf(c_13274,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xB,X0))),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_5322,c_13226]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_13226]) ).
tcf(c_13276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_13226]) ).
tcf(c_13277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_13226]) ).
tcf(c_13278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_13226]) ).
tcf(c_13279,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_13226]) ).
tcf(c_13280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_13226]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_13226]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_13226]) ).
tcf(c_13283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_13226]) ).
tcf(c_13284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_13226]) ).
tcf(c_13285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_13226]) ).
tcf(c_13286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_13226]) ).
tcf(c_13287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_13226]) ).
tcf(c_13288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_13226]) ).
tcf(c_13289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_13226]) ).
tcf(c_13290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_13226]) ).
tcf(c_13291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_13226]) ).
tcf(c_13292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_13226]) ).
tcf(c_13293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_13226]) ).
tcf(c_13294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_13226]) ).
tcf(c_13295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_13226]) ).
tcf(c_13296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_13226]) ).
tcf(c_13297,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_13226]) ).
tcf(c_13298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_13226]) ).
tcf(c_13299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13257,c_56]) ).
tcf(c_13311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xN,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13270,c_135,c_56]) ).
tcf(c_13317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xS,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13269,c_133,c_56]) ).
tcf(c_13323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xR,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13268,c_129,c_56]) ).
tcf(c_13329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_14,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13264,c_3156,c_56]) ).
tcf(c_13335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13263,c_3156,c_3155]) ).
tcf(c_13341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xD,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13262,c_119,c_56]) ).
tcf(c_13347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xC,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13261,c_117,c_56]) ).
tcf(c_13353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13260,c_3155,c_56]) ).
tcf(c_13359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xG,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13259,c_125,c_56]) ).
tcf(c_13365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(xF,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13258,c_123,c_56]) ).
tcf(c_13371,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X2,X0))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13267,c_3155]) ).
tcf(c_13379,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13266,c_3156]) ).
tcf(c_13412,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasasdt0(X0,X0),X2))))
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13256,c_56]) ).
tcf(c_13420,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X0),X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13255,c_56]) ).
tcf(c_13428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,iPr_def_14),X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13280,c_3155]) ).
tcf(c_13436,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xB,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13274,c_115,c_56]) ).
tcf(c_13445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sz0z00,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xH,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13273,c_127,c_56]) ).
tcf(c_13454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(xH,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13272,c_3155,c_127]) ).
tcf(c_13463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X3,X0))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13271,c_3155]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13265,c_3156]) ).
tcf(c_13492,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13279,c_3155]) ).
tcf(c_13510,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14)),X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13298,c_3155]) ).
tcf(c_13518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13281,c_3155]) ).
tcf(c_13526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13284,c_3155]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13278,c_3155]) ).
tcf(c_13546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13276,c_3156]) ).
tcf(c_13557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtasdt0(X0,X1),X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13254,c_56]) ).
tcf(c_13568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sz0z00,X2))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(X0,X1),X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13253,c_56]) ).
tcf(c_13589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,X0),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13277,c_3155]) ).
tcf(c_13601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,X0),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13275,c_3156]) ).
tcf(c_13613,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13297,c_3155]) ).
tcf(c_13623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13286,c_3156]) ).
tcf(c_13634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13283,c_3155]) ).
tcf(c_13645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13285,c_3156]) ).
tcf(c_13657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13282,c_3155]) ).
tcf(c_13669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13296,c_3155]) ).
tcf(c_13681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13292,c_3156]) ).
tcf(c_13706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X3,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13295,c_3155]) ).
tcf(c_13719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,X3)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13291,c_3156]) ).
tcf(c_13732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13289,c_3155]) ).
tcf(c_13744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13287,c_3156]) ).
tcf(c_13770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X3),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13294,c_3155]) ).
tcf(c_13783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)),X2))))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13290,c_3156]) ).
tcf(c_13796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X3)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13293,c_3155]) ).
tcf(c_13809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X3)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13288,c_3155]) ).
tcf(c_13988,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_13335]) ).
tcf(c_13989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_13335]) ).
tcf(c_13990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_13335]) ).
tcf(c_13991,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10825,c_13335]) ).
tcf(c_13992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_13335]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_7339,c_13335]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_13335]) ).
tcf(c_13995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X2,X3)))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_13335]) ).
tcf(c_13996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X2,X3)))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_13335]) ).
tcf(c_13997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_13335]) ).
tcf(c_13998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_13335]) ).
tcf(c_13999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_13335]) ).
tcf(c_14000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0)))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_13335]) ).
tcf(c_14001,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3265,c_13335]) ).
tcf(c_14002,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2961,c_13335]) ).
tcf(c_14003,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2960,c_13335]) ).
tcf(c_14004,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2959,c_13335]) ).
tcf(c_14005,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2969,c_13335]) ).
tcf(c_14006,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2968,c_13335]) ).
tcf(c_14007,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_3441,c_13335]) ).
tcf(c_14008,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4061,c_13335]) ).
tcf(c_14009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_13335]) ).
tcf(c_14010,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_13335]) ).
tcf(c_14011,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4601,c_13335]) ).
tcf(c_14012,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4074,c_13335]) ).
tcf(c_14013,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4066,c_13335]) ).
tcf(c_14014,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00))),iPr_def_13)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4075,c_13335]) ).
tcf(c_14015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4711,c_13335]) ).
tcf(c_14016,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_5277,c_13335]) ).
tcf(c_14017,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH))),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_5272,c_13335]) ).
tcf(c_14018,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB))),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_5322,c_13335]) ).
tcf(c_14019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_13335]) ).
tcf(c_14020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_13335]) ).
tcf(c_14021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7338,c_13335]) ).
tcf(c_14022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7339,c_13335]) ).
tcf(c_14023,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_7337,c_13335]) ).
tcf(c_14024,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_7371,c_13335]) ).
tcf(c_14025,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_8822,c_13335]) ).
tcf(c_14026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_13335]) ).
tcf(c_14027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_13335]) ).
tcf(c_14028,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8768,c_13335]) ).
tcf(c_14029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8769,c_13335]) ).
tcf(c_14030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8770,c_13335]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_13335]) ).
tcf(c_14032,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_13335]) ).
tcf(c_14033,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_8771,c_13335]) ).
tcf(c_14034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_13335]) ).
tcf(c_14035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_13335]) ).
tcf(c_14036,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_13335]) ).
tcf(c_14037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10823,c_13335]) ).
tcf(c_14038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10824,c_13335]) ).
tcf(c_14039,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10821,c_13335]) ).
tcf(c_14040,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10825,c_13335]) ).
tcf(c_14041,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_10820,c_13335]) ).
tcf(c_14042,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))))),iPr_def_13)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_10872,c_13335]) ).
tcf(c_14043,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14001,c_3231,c_3247]) ).
tcf(c_14048,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN))))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14014,c_3247]) ).
tcf(c_14049,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xN)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14048,c_135,c_56]) ).
tcf(c_14052,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS))))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14013,c_3247]) ).
tcf(c_14053,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xS)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14052,c_133,c_56]) ).
tcf(c_14056,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR))))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14012,c_3247]) ).
tcf(c_14057,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xR)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14056,c_129,c_56]) ).
tcf(c_14060,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14008,c_3247]) ).
tcf(c_14061,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14060,c_3156,c_56]) ).
tcf(c_14064,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14007,c_3156,c_3155]) ).
tcf(c_14067,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD))))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14006,c_3247]) ).
tcf(c_14068,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xD)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14067,c_119,c_56]) ).
tcf(c_14071,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC))))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14005,c_3247]) ).
tcf(c_14072,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xC)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14071,c_117,c_56]) ).
tcf(c_14075,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14004,c_3247]) ).
tcf(c_14076,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14075,c_3155,c_56]) ).
tcf(c_14079,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG))))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14003,c_3247]) ).
tcf(c_14080,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xG)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14079,c_125,c_56]) ).
tcf(c_14083,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF))))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14002,c_3247]) ).
tcf(c_14084,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,xF)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14083,c_123,c_56]) ).
tcf(c_14087,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14011,c_3155]) ).
tcf(c_14092,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14010,c_3156]) ).
tcf(c_14113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0)))))
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_14000,c_3247]) ).
tcf(c_14114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasasdt0(X0,X0)))))
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14113,c_56]) ).
tcf(c_14119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_13999,c_3247]) ).
tcf(c_14120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X0)))))
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14119,c_56]) ).
tcf(c_14125,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,iPr_def_13))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14024,c_3155]) ).
tcf(c_14130,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB))),iPr_def_13)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14018,c_3231]) ).
tcf(c_14131,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xB))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14130,c_115,c_56]) ).
tcf(c_14137,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH))),iPr_def_13)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_14017,c_3231]) ).
tcf(c_14138,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14137,c_127,c_56]) ).
tcf(c_14144,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xH))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14016,c_3155,c_127]) ).
tcf(c_14150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14015,c_3155]) ).
tcf(c_14157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14009,c_3156]) ).
tcf(c_14170,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14023,c_3155]) ).
tcf(c_14182,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14042,c_3155]) ).
tcf(c_14187,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14025,c_3155]) ).
tcf(c_14192,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14028,c_3155]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14022,c_3155]) ).
tcf(c_14206,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14020,c_3156]) ).
tcf(c_14214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_13998,c_3247]) ).
tcf(c_14215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14214,c_56]) ).
tcf(c_14223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_13997,c_3247]) ).
tcf(c_14224,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14223,c_56]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14021,c_3155]) ).
tcf(c_14248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14019,c_3156]) ).
tcf(c_14257,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14041,c_3155]) ).
tcf(c_14264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14030,c_3156]) ).
tcf(c_14272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14027,c_3155]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14029,c_3156]) ).
tcf(c_14289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14026,c_3155]) ).
tcf(c_14298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14040,c_3155]) ).
tcf(c_14307,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14036,c_3156]) ).
tcf(c_14326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X1,iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14039,c_3155]) ).
tcf(c_14336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14035,c_3156]) ).
tcf(c_14346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14033,c_3155]) ).
tcf(c_14355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14031,c_3156]) ).
tcf(c_14375,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X1),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14038,c_3155]) ).
tcf(c_14385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14034,c_3156]) ).
tcf(c_14395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X1)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14037,c_3155]) ).
tcf(c_14405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(iPr_def_13,X0)))
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(iPr_def_14,X1)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14032,c_3155]) ).
tcf(c_14479,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14405,c_14395,c_14385,c_14375,c_14355,c_14346,c_14336,c_14326,c_14307,c_14298,c_14289,c_14280,c_14272,c_14264,c_14257,c_14248,c_14239,c_14224,c_14223,c_14215,c_14214,c_14206,c_14198,c_14192,c_14187,c_14182,c_14170,c_14157,c_14150,c_14144,c_14138,c_14137,c_14131,c_14130,c_14125,c_14120,c_14119,c_14114,c_14113,c_14092,c_14087,c_14084,c_14083,c_14080,c_14079,c_14076,c_14075,c_14072,c_14071,c_14068,c_14067,c_14064,c_14061,c_14060,c_14057,c_14056,c_14053,c_14052,c_14049,c_14048,c_14043,c_14042,c_14041,c_14040,c_14039,c_14038,c_14037,c_14036,c_14035,c_14034,c_14033,c_14032,c_14031,c_14030,c_14029,c_14028,c_14027,c_14026,c_14025,c_14024,c_14023,c_14022,c_14021,c_14020,c_14019,c_14018,c_14017,c_14016,c_14015,c_14014,c_14013,c_14012,c_14011,c_14010,c_14009,c_14008,c_14007,c_14006,c_14005,c_14004,c_14003,c_14002,c_14001,c_14000,c_13999,c_13998,c_13997,c_13996,c_13995,c_13994,c_13993,c_13992,c_13991,c_13990,c_13989,c_13988,c_13809,c_13796,c_13783,c_13770,c_13744,c_13732,c_13719,c_13706,c_13681,c_13669,c_13657,c_13645,c_13634,c_13623,c_13613,c_13601,c_13589,c_13568,c_13557,c_13546,c_13535,c_13526,c_13518,c_13510,c_13492,c_13473,c_13463,c_13454,c_13445,c_13436,c_13428,c_13420,c_13412,c_13379,c_13371,c_13365,c_13359,c_13353,c_13347,c_13341,c_13335,c_13329,c_13323,c_13317,c_13311,c_13299,c_13298,c_13297,c_13296,c_13295,c_13294,c_13293,c_13292,c_13291,c_13290,c_13289,c_13288,c_13287,c_13286,c_13285,c_13284,c_13283,c_13282,c_13281,c_13280,c_13279,c_13278,c_13277,c_13276,c_13275,c_13274,c_13273,c_13272,c_13271,c_13270,c_13269,c_13268,c_13267,c_13266,c_13265,c_13264,c_13263,c_13262,c_13261,c_13260,c_13259,c_13258,c_13257,c_13256,c_13255,c_13254,c_13253,c_13252,c_13251,c_13250,c_13249,c_13248,c_13247,c_13246,c_13245,c_13244,c_13226,c_13178,c_13164,c_13151,c_13138,c_13127,c_13116,c_13103,c_13090,c_13080,c_13070,c_13058,c_13048,c_13036,c_13026,c_13016,c_13005,c_12995,c_12984,c_12983,c_12982,c_12981,c_12980,c_12979,c_12977,c_12976,c_12975,c_12974,c_12973,c_12972,c_12971,c_12970,c_12969,c_12967,c_12966,c_12965,c_12964,c_12963,c_12962,c_12961,c_12960,c_12959,c_12958,c_12905,c_12891,c_12878,c_12865,c_12854,c_12841,c_12828,c_12818,c_12808,c_12798,c_12788,c_12776,c_12766,c_12756,c_12745,c_12735,c_12724,c_12723,c_12722,c_12721,c_12720,c_12718,c_12717,c_12716,c_12715,c_12714,c_12713,c_12712,c_12711,c_12710,c_12707,c_12706,c_12705,c_12704,c_12703,c_12702,c_12701,c_12700,c_12567,c_12566,c_12565,c_12564,c_12563,c_12562,c_12561,c_12560,c_12559,c_12558,c_12557,c_12556,c_12555,c_12554,c_12553,c_12552,c_12551,c_12468,c_12467,c_12466,c_12465,c_12464,c_12463,c_12462,c_12461,c_12460,c_12459,c_12458,c_12457,c_12456,c_12455,c_12454,c_12439,c_12432,c_12431,c_12430,c_12421,c_12414,c_12413,c_12412,c_12403,c_12396,c_12395,c_12394,c_12379,c_12370,c_12361,c_12354,c_12348,c_12347,c_12346,c_12343,c_12341,c_12339,c_12221,c_12207,c_12194,c_12181,c_12170,c_12157,c_12144,c_12134,c_12124,c_12114,c_12104,c_12092,c_12082,c_12072,c_12061,c_12051,c_12040,c_12039,c_12038,c_12037,c_12035,c_12034,c_12033,c_12032,c_12031,c_12030,c_12029,c_12028,c_12027,c_12024,c_12023,c_12022,c_12021,c_12020,c_12019,c_12018,c_11888,c_11875,c_11863,c_11851,c_11841,c_11829,c_11817,c_11797,c_11778,c_11769,c_11760,c_11749,c_11740,c_11721,c_11711,c_11702,c_11692,c_11670,c_11661,c_11650,c_11644,c_11643,c_11642,c_11641,c_11640,c_11639,c_11638,c_11637,c_11634,c_11633,c_11631,c_11630,c_11629,c_11628,c_11627,c_11626,c_11625,c_11624,c_11623,c_11620,c_11619,c_11618,c_11617,c_11616,c_11615,c_11613,c_11612,c_11611,c_11610,c_11609,c_11608,c_11604,c_11603,c_11601,c_11600,c_11598,c_11596,c_11595,c_11594,c_11460,c_11450,c_11442,c_11432,c_11425,c_11416,c_11409,c_11402,c_11394,c_11392,c_11391,c_11389,c_11388,c_11387,c_11386,c_11385,c_11384,c_11383,c_11382,c_11317,c_11309,c_11301,c_11296,c_11291,c_11286,c_11281,c_11275,c_11274,c_11273,c_11270,c_11269,c_11268,c_11267,c_11266,c_11265,c_11075,c_11053,c_11044,c_11024,c_11015,c_11007,c_10997,c_10990,c_10981,c_10972,c_10966,c_10965,c_10964,c_10956,c_10942,c_10936,c_10922,c_10914,c_10907,c_10906,c_10905,c_10904,c_10886,c_10880,c_10879,c_10878,c_10877,c_10876,c_10875,c_10872,c_10871,c_10870,c_10869,c_10868,c_10863,c_10862,c_10861,c_10860,c_10859,c_10858,c_10857,c_10856,c_10855,c_10854,c_10853,c_10852,c_10851,c_10850,c_10849,c_10848,c_10847,c_10846,c_10845,c_10844,c_10843,c_10842,c_10841,c_10840,c_10839,c_10838,c_10837,c_10836,c_10835,c_10834,c_10833,c_10831,c_10830,c_10829,c_10828,c_10827,c_10826,c_10824,c_10823,c_10825,c_10821,c_10820,c_10832,c_10661,c_10648,c_10621,c_10608,c_10596,c_10584,c_10571,c_10558,c_10546,c_10534,c_10522,c_10510,c_10500,c_10491,c_10471,c_10450,c_10439,c_10429,c_10419,c_10410,c_10401,c_10392,c_10355,c_10346,c_10339,c_10332,c_10325,c_10318,c_10311,c_10304,c_10297,c_10290,c_10283,c_10276,c_10262,c_10261,c_10260,c_10259,c_10258,c_10257,c_10256,c_10255,c_10254,c_10253,c_10252,c_10251,c_10250,c_10249,c_10248,c_10247,c_10246,c_10245,c_10244,c_10243,c_10242,c_10241,c_10240,c_10239,c_10238,c_10237,c_10236,c_10235,c_10234,c_10233,c_10232,c_10231,c_10230,c_10229,c_10228,c_10227,c_10226,c_10225,c_10224,c_10223,c_10222,c_10221,c_10220,c_10219,c_10199,c_10187,c_10180,c_10179,c_10178,c_10169,c_10162,c_10161,c_10160,c_10151,c_10144,c_10143,c_10142,c_10133,c_10126,c_10125,c_10124,c_10115,c_10108,c_10107,c_10106,c_10097,c_10090,c_10089,c_10088,c_10067,c_10060,c_10059,c_10058,c_10049,c_10042,c_10041,c_10040,c_10027,c_10018,c_10011,c_10005,c_10004,c_10003,c_10000,c_9998,c_9963,c_9951,c_9939,c_9927,c_9918,c_9909,c_9900,c_9889,c_9880,c_9871,c_9861,c_9852,c_9842,c_9841,c_9840,c_9839,c_9838,c_9837,c_9836,c_9834,c_9833,c_9832,c_9831,c_9830,c_9829,c_9828,c_9825,c_9824,c_9823,c_9822,c_9821,c_9820,c_9819,c_9818,c_9782,c_9770,c_9758,c_9746,c_9737,c_9728,c_9719,c_9708,c_9699,c_9690,c_9680,c_9671,c_9661,c_9660,c_9659,c_9653,c_9652,c_9651,c_9649,c_9648,c_9647,c_9646,c_9645,c_9644,c_9643,c_9640,c_9639,c_9638,c_9637,c_9636,c_9635,c_9633,c_9549,c_9538,c_9527,c_9516,c_9499,c_9491,c_9483,c_9473,c_9465,c_9448,c_9439,c_9431,c_9422,c_9388,c_9382,c_9381,c_9375,c_9374,c_9364,c_9360,c_9354,c_9349,c_9348,c_9343,c_9342,c_9337,c_9336,c_9331,c_9330,c_9329,c_9328,c_9323,c_9318,c_9317,c_9316,c_9313,c_9312,c_9310,c_9309,c_9308,c_9307,c_9306,c_9305,c_9304,c_9301,c_9300,c_9299,c_9298,c_9297,c_9296,c_9295,c_9294,c_9293,c_9292,c_9291,c_9289,c_9287,c_9286,c_9284,c_9283,c_9282,c_9281,c_9280,c_9279,c_9278,c_9277,c_9276,c_9245,c_9236,c_9230,c_9222,c_9216,c_9210,c_9203,c_9202,c_9199,c_9198,c_9196,c_9195,c_9194,c_9193,c_9192,c_9191,c_9190,c_9136,c_9128,c_9123,c_9118,c_9112,c_9108,c_9107,c_9106,c_9103,c_9102,c_9101,c_9100,c_8963,c_8954,c_8946,c_8945,c_8937,c_8936,c_8928,c_8920,c_8914,c_8901,c_8894,c_8888,c_8883,c_8878,c_8877,c_8872,c_8871,c_8850,c_8845,c_8842,c_8841,c_8838,c_8837,c_8834,c_8833,c_8830,c_8829,c_8826,c_8825,c_8822,c_8819,c_8818,c_8815,c_8814,c_8811,c_8810,c_8807,c_8806,c_8801,c_8800,c_8799,c_8798,c_8797,c_8796,c_8795,c_8794,c_8793,c_8792,c_8791,c_8790,c_8789,c_8788,c_8787,c_8786,c_8785,c_8784,c_8783,c_8782,c_8781,c_8780,c_8779,c_8778,c_8777,c_8776,c_8775,c_8774,c_8773,c_8772,c_8771,c_8770,c_8769,c_8768,c_8668,c_8656,c_8645,c_8634,c_8623,c_8612,c_8603,c_8584,c_8574,c_8565,c_8557,c_8549,c_8541,c_8508,c_8500,c_8494,c_8488,c_8482,c_8476,c_8470,c_8464,c_8458,c_8452,c_8446,c_8440,c_8428,c_8427,c_8426,c_8425,c_8424,c_8423,c_8422,c_8421,c_8420,c_8419,c_8418,c_8417,c_8416,c_8415,c_8414,c_8413,c_8412,c_8411,c_8410,c_8409,c_8408,c_8407,c_8406,c_8405,c_8404,c_8403,c_8402,c_8401,c_8400,c_8399,c_8398,c_8397,c_8396,c_8395,c_8377,c_8367,c_8360,c_8359,c_8358,c_8349,c_8342,c_8341,c_8340,c_8331,c_8324,c_8323,c_8322,c_8295,c_8288,c_8284,c_8283,c_8270,c_8263,c_8251,c_8250,c_8249,c_8248,c_8238,c_8237,c_8233,c_8232,c_8228,c_8227,c_8226,c_8210,c_8039,c_8038,c_8037,c_8036,c_8035,c_8034,c_8033,c_8032,c_8031,c_8030,c_8029,c_8028,c_8027,c_8026,c_8025,c_8024,c_8023,c_8022,c_8021,c_7988,c_7983,c_7979,c_7977,c_7978,c_7975,c_7918,c_7906,c_7895,c_7886,c_7876,c_7867,c_7858,c_7848,c_7839,c_7838,c_7837,c_7835,c_7834,c_7833,c_7832,c_7831,c_7828,c_7827,c_7737,c_7726,c_7707,c_7699,c_7690,c_7682,c_7674,c_7665,c_7657,c_7629,c_7628,c_7627,c_7615,c_7614,c_7613,c_7612,c_7608,c_7604,c_7603,c_7602,c_7599,c_7598,c_7596,c_7595,c_7594,c_7593,c_7592,c_7589,c_7588,c_7587,c_7586,c_7585,c_7584,c_7583,c_7582,c_7580,c_7578,c_7577,c_7575,c_7574,c_7573,c_7548,c_7540,c_7534,c_7527,c_7521,c_7520,c_7519,c_7517,c_7516,c_7515,c_7498,c_7492,c_7487,c_7483,c_7482,c_7481,c_7478,c_7477,c_7428,c_7427,c_7420,c_7413,c_7407,c_7406,c_7405,c_7384,c_7379,c_7378,c_7377,c_7376,c_7375,c_7374,c_7371,c_7370,c_7369,c_7368,c_7367,c_7363,c_7362,c_7361,c_7360,c_7359,c_7358,c_7357,c_7356,c_7355,c_7354,c_7353,c_7352,c_7351,c_7350,c_7349,c_7348,c_7347,c_7346,c_7345,c_7344,c_7343,c_7342,c_7341,c_7340,c_7339,c_7338,c_7337,c_7251,c_7240,c_7230,c_7220,c_7211,c_7203,c_7195,c_7162,c_7154,c_7148,c_7142,c_7136,c_7130,c_7124,c_7118,c_7112,c_7106,c_7100,c_7094,c_7082,c_7081,c_7080,c_7079,c_7078,c_7077,c_7076,c_7075,c_7074,c_7073,c_7072,c_7071,c_7070,c_7069,c_7068,c_7067,c_7066,c_7065,c_7064,c_7063,c_7062,c_7061,c_7060,c_7059,c_7058,c_7057,c_7056,c_7038,c_7026,c_7019,c_7018,c_7017,c_7006,c_6999,c_6998,c_6997,c_6986,c_6979,c_6978,c_6977,c_6966,c_6959,c_6958,c_6957,c_6761,c_6755,c_6748,c_6742,c_6736,c_6730,c_6724,c_6718,c_6712,c_6706,c_6700,c_6694,c_6688,c_6682,c_6676,c_6670,c_6664,c_6658,c_6651,c_6644,c_6638,c_6632,c_6625,c_6619,c_6613,c_6606,c_6600,c_6593,c_6587,c_6581,c_6575,c_6569,c_6563,c_6557,c_6550,c_6543,c_6536,c_6529,c_6522,c_6515,c_6508,c_6501,c_6494,c_6487,c_6480,c_6473,c_6466,c_6459,c_6452,c_6445,c_6438,c_6431,c_6424,c_6417,c_6410,c_6403,c_6396,c_6389,c_6382,c_6375,c_6368,c_6361,c_6354,c_6347,c_6340,c_6333,c_6326,c_6319,c_6312,c_6305,c_6298,c_6290,c_6283,c_6276,c_6269,c_6268,c_6267,c_6266,c_6265,c_6264,c_6263,c_6262,c_6261,c_6260,c_6259,c_6258,c_6257,c_6256,c_6255,c_6254,c_6253,c_6252,c_6251,c_6250,c_6249,c_6248,c_6247,c_6246,c_6245,c_6244,c_6243,c_6242,c_6241,c_6240,c_6239,c_6238,c_6237,c_6236,c_6235,c_6234,c_6233,c_6232,c_6231,c_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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG052+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 07:54:03 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 8.37/2.81 % SZS status Started for theBenchmark.p
% 8.37/2.81 % SZS status Theorem for theBenchmark.p
% 8.37/2.81
% 8.37/2.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.37/2.81
% 8.37/2.81 % ------ iProver source info
% 8.37/2.81
% 8.37/2.81 % git: date: 2026-07-19 20:42:38 +0200
% 8.37/2.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.37/2.81 % git: non_committed_changes: false
% 8.37/2.81
% 8.37/2.81 % ------ Parsing...
% 8.37/2.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.37/2.81
% 8.37/2.81 % ------ 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 %
% 8.37/2.81
% 8.37/2.81 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.37/2.81
% 8.37/2.81 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 8.37/2.81 % ------ Proving...
% 8.37/2.81 % ------ Problem Properties
% 8.37/2.81
% 8.37/2.81 %
% 8.37/2.81 % clauses 93
% 8.37/2.81 % conjectures 1
% 8.37/2.81 % EPR 26
% 8.37/2.81 % Horn 81
% 8.37/2.81 % unary 40
% 8.37/2.81 % binary 19
% 8.37/2.81 % lits 227
% 8.37/2.81 % lits eq 73
% 8.37/2.81 % fd_pure 0
% 8.37/2.81 % fd_pseudo 0
% 8.37/2.81 % fd_cond 1
% 8.37/2.81 % fd_pseudo_cond 5
% 8.37/2.81 % AC symbols 0
% 8.37/2.81
% 8.37/2.81 % ------ Schedule dynamic 5 is on
% 8.37/2.81
% 8.37/2.81 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.37/2.81
% 8.37/2.81
% 8.37/2.81 % ------
% 8.37/2.81 % Current options:
% 8.37/2.81 % ------
% 8.37/2.81
% 8.37/2.81
% 8.37/2.81 %
% 8.37/2.81
% 8.37/2.81 % ------ Proving...
% 8.37/2.81 %
% 8.37/2.81
% 8.37/2.81 % SZS status Theorem for theBenchmark.p
% 8.37/2.81
% 8.37/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.37/2.86
% 8.37/2.86
%------------------------------------------------------------------------------