%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG052+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:38:19 PM UTC 2026
% Result : Theorem 6.25s 2.47s
% Output : CNFRefutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 53
% Syntax : Number of formulae : 2330 ( 206 unt; 2 def)
% Number of atoms : 26758 ( 826 equ)
% Maximal formula atoms : 15 ( 11 avg)
% Number of connectives : 19990 (8403 ~;11421 |; 117 &)
% ( 3 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 4110 ( 0 sgn4104 !; 6 ?;3810 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f56,conjecture,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/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,
! [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(f119,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(f120,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,[],[f119]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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))],[f121]) ).
fof(f123,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f125,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f126,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f118]) ).
fof(f127,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f130,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f133,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f134,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f75]) ).
fof(f135,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f136,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f137,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f138,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f139,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f75]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f143,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(f144,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f145,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(f146,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(f147,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(f148,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(f149,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f152,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f155,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(f156,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(f157,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,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(f162,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f122]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f167,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,[],[f122]) ).
fof(f168,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,[],[f122]) ).
fof(f169,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(f170,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f172,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(f173,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f174,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f175,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f176,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(f177,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f178,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f179,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f180,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f181,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f182,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f183,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f184,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f185,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f186,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f187,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f188,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f189,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f190,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f191,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f192,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f193,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f194,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f195,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f196,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f197,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f198,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f199,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f200,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f201,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f202,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f203,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f204,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f205,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f206,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f207,plain,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f63]) ).
fof(f208,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f166]) ).
fof(f209,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f165]) ).
fof(f210,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f164]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f123]) ).
tcf(c_50,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_52,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK0(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_55,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f130]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f134]) ).
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,[],[f145]) ).
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,[],[f144]) ).
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,[],[f143]) ).
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,[],[f142]) ).
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,[],[f147]) ).
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,[],[f146]) ).
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,[],[f148]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_78,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
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,[],[f154]) ).
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,[],[f155]) ).
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,[],[f156]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f157]) ).
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,[],[f159]) ).
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,[],[f158]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f160]) ).
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,[],[f161]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f163]) ).
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,[],[f168]) ).
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,[],[f167]) ).
tcf(c_92,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f209]) ).
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,[],[f210]) ).
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,[],[f169]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f170]) ).
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,[],[f171]) ).
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,[],[f172]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_100,plain,
aVector0(xs),
inference(cnf_transformation,[],[f175]) ).
tcf(c_101,plain,
aVector0(xt),
inference(cnf_transformation,[],[f174]) ).
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,[],[f176]) ).
tcf(c_103,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f177]) ).
tcf(c_104,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f178]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f180]) ).
tcf(c_106,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f179]) ).
tcf(c_107,plain,
aVector0(xq),
inference(cnf_transformation,[],[f182]) ).
tcf(c_108,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f181]) ).
tcf(c_109,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f184]) ).
tcf(c_110,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f183]) ).
tcf(c_111,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f186]) ).
tcf(c_112,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f185]) ).
tcf(c_113,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f188]) ).
tcf(c_114,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f187]) ).
tcf(c_115,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f190]) ).
tcf(c_116,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f189]) ).
tcf(c_117,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f192]) ).
tcf(c_118,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f191]) ).
tcf(c_119,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f194]) ).
tcf(c_120,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f193]) ).
tcf(c_121,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f196]) ).
tcf(c_122,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f195]) ).
tcf(c_123,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f198]) ).
tcf(c_124,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f197]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f200]) ).
tcf(c_126,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f199]) ).
tcf(c_127,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f202]) ).
tcf(c_128,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f201]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f204]) ).
tcf(c_130,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f203]) ).
tcf(c_131,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f206]) ).
tcf(c_132,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f205]) ).
tcf(c_133,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f207]) ).
tcf(c_141,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_180,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_141]) ).
tcf(c_626,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_112,c_103]) ).
tcf(c_985,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_986,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_985]) ).
tcf(c_988,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_986,c_88,c_986]) ).
tcf(c_989,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_988]) ).
tcf(c_1804,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_71]) ).
tcf(c_1805,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_1806,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_71]) ).
tcf(c_1807,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_1808,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
tcf(c_1809,definition,
iPr_def_13 = sdtasdt0(xE,xE),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1810,definition,
iPr_def_14 = sdtasdt0(xC,xD),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1811,negated_conjecture,
~ sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_133,c_1810,c_1809]) ).
tcf(c_1837,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1804]) ).
tcf(c_2856,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1806,c_56,c_1837,c_1806]) ).
tcf(c_2858,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1808,c_56,c_1837,c_1808]) ).
tcf(c_2875,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1804,c_56,c_1837]) ).
tcf(c_2877,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_103,c_88]) ).
tcf(c_2878,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2877,c_101]) ).
tcf(c_2883,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_120,c_86]) ).
tcf(c_2884,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_122,c_86]) ).
tcf(c_2885,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm)],[c_1809,c_86]) ).
tcf(c_2886,plain,
sdtlseqdt0(sz0z00,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_2885,c_117]) ).
tcf(c_2887,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2884,c_111]) ).
tcf(c_2888,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2883,c_109]) ).
tcf(c_2893,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_114,c_99]) ).
tcf(c_2894,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_116,c_99]) ).
tcf(c_2895,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2894,c_107]) ).
tcf(c_2896,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2893,c_105]) ).
tcf(c_2905,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_2906,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
tcf(c_2907,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_109,c_60]) ).
tcf(c_2908,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_111,c_60]) ).
tcf(c_2909,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_2910,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_115,c_60]) ).
tcf(c_2911,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_2912,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_119,c_60]) ).
tcf(c_2913,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_121,c_60]) ).
tcf(c_2914,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_123,c_60]) ).
tcf(c_2915,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_125,c_60]) ).
tcf(c_2916,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_127,c_60]) ).
tcf(c_2917,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_129,c_60]) ).
tcf(c_2918,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_131,c_60]) ).
tcf(c_2927,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
tcf(c_2928,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_109,c_61]) ).
tcf(c_2929,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_111,c_61]) ).
tcf(c_2930,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_2931,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_115,c_61]) ).
tcf(c_2932,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_2933,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_119,c_61]) ).
tcf(c_2934,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_121,c_61]) ).
tcf(c_2935,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_123,c_61]) ).
tcf(c_2936,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_125,c_61]) ).
tcf(c_2937,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_127,c_61]) ).
tcf(c_2938,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_129,c_61]) ).
tcf(c_2939,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_131,c_61]) ).
tcf(c_2947,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_2948,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_62]) ).
tcf(c_2949,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_62]) ).
tcf(c_2950,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_62]) ).
tcf(c_2951,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_2952,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_62]) ).
tcf(c_2953,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_62]) ).
tcf(c_2954,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_62]) ).
tcf(c_2955,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_62]) ).
tcf(c_2956,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_62]) ).
tcf(c_2957,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_62]) ).
tcf(c_2958,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_2959,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_62]) ).
tcf(c_2960,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_62]) ).
tcf(c_2969,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_63]) ).
tcf(c_2970,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_63]) ).
tcf(c_2971,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_63]) ).
tcf(c_2972,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_2973,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_63]) ).
tcf(c_2974,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_63]) ).
tcf(c_2975,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_63]) ).
tcf(c_2976,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_63]) ).
tcf(c_2977,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_63]) ).
tcf(c_2978,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_63]) ).
tcf(c_2979,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_63]) ).
tcf(c_2980,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_63]) ).
tcf(c_2981,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_63]) ).
tcf(c_2989,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_2990,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_66]) ).
tcf(c_2991,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_109,c_66]) ).
tcf(c_2992,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_2993,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_2994,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_115,c_66]) ).
tcf(c_2995,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_117,c_66]) ).
tcf(c_2996,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_119,c_66]) ).
tcf(c_2997,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_121,c_66]) ).
tcf(c_2998,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_123,c_66]) ).
tcf(c_2999,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_125,c_66]) ).
tcf(c_3000,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_127,c_66]) ).
tcf(c_3001,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_129,c_66]) ).
tcf(c_3002,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_131,c_66]) ).
tcf(c_3037,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_3038,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_3039,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_3040,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_3041,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_3075,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xE) ),
inference(superposition,[status(thm)],[c_1809,c_58]) ).
tcf(c_3076,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(xC) ),
inference(superposition,[status(thm)],[c_1810,c_58]) ).
tcf(c_3077,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_3078,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_3079,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_3080,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_3081,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_3082,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3075,c_117]) ).
tcf(c_3083,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3076,c_115,c_113]) ).
tcf(c_3118,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_3119,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_3120,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_3121,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_3122,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_64]) ).
tcf(c_3123,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_3124,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_3125,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_3126,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_64]) ).
tcf(c_3127,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_64]) ).
tcf(c_3128,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_64]) ).
tcf(c_3129,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_64]) ).
tcf(c_3130,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_64]) ).
tcf(c_3131,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_64]) ).
tcf(c_3132,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_64]) ).
tcf(c_3133,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_64]) ).
tcf(c_3158,plain,
sdtpldt0(iPr_def_13,smndt0(iPr_def_13)) = sz0z00,
inference(superposition,[status(thm)],[c_3082,c_64]) ).
tcf(c_3159,plain,
smndt0(smndt0(iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_3082,c_66]) ).
tcf(c_3160,plain,
sdtasdt0(sz0z00,iPr_def_13) = sz0z00,
inference(superposition,[status(thm)],[c_3082,c_63]) ).
tcf(c_3161,plain,
sdtasdt0(iPr_def_13,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3082,c_62]) ).
tcf(c_3162,plain,
sdtpldt0(sz0z00,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_3082,c_61]) ).
tcf(c_3163,plain,
sdtpldt0(iPr_def_13,sz0z00) = iPr_def_13,
inference(superposition,[status(thm)],[c_3082,c_60]) ).
tcf(c_3169,plain,
sdtpldt0(iPr_def_14,smndt0(iPr_def_14)) = sz0z00,
inference(superposition,[status(thm)],[c_3083,c_64]) ).
tcf(c_3170,plain,
smndt0(smndt0(iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_3083,c_66]) ).
tcf(c_3171,plain,
sdtasdt0(sz0z00,iPr_def_14) = sz0z00,
inference(superposition,[status(thm)],[c_3083,c_63]) ).
tcf(c_3172,plain,
sdtasdt0(iPr_def_14,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_3083,c_62]) ).
tcf(c_3173,plain,
sdtpldt0(sz0z00,iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_3083,c_61]) ).
tcf(c_3174,plain,
sdtpldt0(iPr_def_14,sz0z00) = iPr_def_14,
inference(superposition,[status(thm)],[c_3083,c_60]) ).
tcf(c_3189,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2947,c_86]) ).
tcf(c_3190,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3189,c_56]) ).
tcf(c_3197,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_3198,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_3199,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_3200,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_65]) ).
tcf(c_3201,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_65]) ).
tcf(c_3202,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_65]) ).
tcf(c_3203,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_3204,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_65]) ).
tcf(c_3205,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_65]) ).
tcf(c_3206,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_3207,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_65]) ).
tcf(c_3208,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_65]) ).
tcf(c_3209,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_65]) ).
tcf(c_3210,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_65]) ).
tcf(c_3211,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_65]) ).
tcf(c_3212,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_65]) ).
tcf(c_3213,plain,
sdtpldt0(smndt0(iPr_def_13),iPr_def_13) = sz0z00,
inference(superposition,[status(thm)],[c_3082,c_65]) ).
tcf(c_3214,plain,
sdtpldt0(smndt0(iPr_def_14),iPr_def_14) = sz0z00,
inference(superposition,[status(thm)],[c_3083,c_65]) ).
tcf(c_3249,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_3250,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_3251,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_3252,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_3253,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_3254,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_3255,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_3308,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_83,c_1811]) ).
tcf(c_3312,plain,
sdtlseqdt0(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3308,c_3083,c_3082]) ).
tcf(c_3332,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK0(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_3333,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_3334,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_53]) ).
tcf(c_3335,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2878,c_53]) ).
tcf(c_3336,plain,
szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3335,c_104]) ).
tcf(c_3365,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_3366,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_3367,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_3368,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_3369,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_3370,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_75]) ).
tcf(c_3371,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_75]) ).
tcf(c_3372,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_75]) ).
tcf(c_3373,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_75]) ).
tcf(c_3374,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_75]) ).
tcf(c_3375,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_75]) ).
tcf(c_3376,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_75]) ).
tcf(c_3377,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_75]) ).
tcf(c_3378,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_75]) ).
tcf(c_3379,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_75]) ).
tcf(c_3380,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_75]) ).
tcf(c_3381,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_75]) ).
tcf(c_3382,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_13,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_13,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3082,c_75]) ).
tcf(c_3383,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_14,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_14,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3083,c_75]) ).
tcf(c_3473,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_3474,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_3475,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_3476,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_3477,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_3478,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_76]) ).
tcf(c_3479,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_76]) ).
tcf(c_3480,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_76]) ).
tcf(c_3481,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_76]) ).
tcf(c_3482,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_76]) ).
tcf(c_3483,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_76]) ).
tcf(c_3484,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_76]) ).
tcf(c_3485,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_76]) ).
tcf(c_3486,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_76]) ).
tcf(c_3487,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_76]) ).
tcf(c_3488,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_76]) ).
tcf(c_3489,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_76]) ).
tcf(c_3490,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_13),X0) = smndt0(sdtasdt0(iPr_def_13,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3082,c_76]) ).
tcf(c_3491,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_14),X0) = smndt0(sdtasdt0(iPr_def_14,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3083,c_76]) ).
tcf(c_3520,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3473,c_180]) ).
tcf(c_3597,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_3598,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_3599,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_3600,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_3601,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_3602,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_77]) ).
tcf(c_3603,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_77]) ).
tcf(c_3604,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_77]) ).
tcf(c_3605,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_77]) ).
tcf(c_3606,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_77]) ).
tcf(c_3607,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_77]) ).
tcf(c_3608,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_77]) ).
tcf(c_3609,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_77]) ).
tcf(c_3610,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_77]) ).
tcf(c_3611,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_3612,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_77]) ).
tcf(c_3613,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_77]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_13),smndt0(X0)) = sdtasdt0(iPr_def_13,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3082,c_77]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_14),smndt0(X0)) = sdtasdt0(iPr_def_14,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3083,c_77]) ).
tcf(c_3644,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3597,c_180]) ).
tcf(c_3712,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_3713,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_100,c_93]) ).
tcf(c_3714,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
tcf(c_3715,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_105,c_93]) ).
tcf(c_3716,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_107,c_93]) ).
tcf(c_3721,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3714,c_103,c_108]) ).
tcf(c_3722,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3721,c_104]) ).
tcf(c_3723,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3713,c_106]) ).
tcf(c_3724,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3723,c_104]) ).
tcf(c_3757,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_3758,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_3759,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3762,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3758,c_101]) ).
tcf(c_3766,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3757,c_101]) ).
tcf(c_3786,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_3787,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_3789,plain,
( ( sz0z00 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_2888,c_79]) ).
tcf(c_3790,plain,
( ( sz0z00 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_2887,c_79]) ).
tcf(c_3791,plain,
( ( sz0z00 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(superposition,[status(thm)],[c_2886,c_79]) ).
tcf(c_3792,plain,
( ( sz0z00 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_2896,c_79]) ).
tcf(c_3793,plain,
( ( sz0z00 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_2895,c_79]) ).
tcf(c_3795,plain,
( ( sz0z00 = xD )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3793,c_115,c_56]) ).
tcf(c_3798,plain,
( ( sz0z00 = xC )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3792,c_113,c_56]) ).
tcf(c_3801,plain,
( ( sz0z00 = iPr_def_13 )
| ~ sdtlseqdt0(iPr_def_13,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3791,c_3082,c_56]) ).
tcf(c_3804,plain,
( ( sz0z00 = xG )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3790,c_121,c_56]) ).
tcf(c_3807,plain,
( ( sz0z00 = xF )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3789,c_119,c_56]) ).
tcf(c_3810,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_3787,c_56]) ).
tcf(c_3815,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_3786,c_56]) ).
tcf(c_3876,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_3877,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_3876,c_56]) ).
tcf(c_3897,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_124,c_85]) ).
tcf(c_3898,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_126,c_85]) ).
tcf(c_3899,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_128,c_85]) ).
tcf(c_3900,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_3901,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_132,c_85]) ).
tcf(c_3903,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_1810,c_85]) ).
tcf(c_3931,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_3932,plain,
sdtlseqdt0(sz0z00,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3903,c_115,c_113,c_2895,c_2896]) ).
tcf(c_3933,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3901,c_129,c_125]) ).
tcf(c_3937,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_3900,c_119,c_115,c_2888,c_2895]) ).
tcf(c_3938,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3933,c_3937]) ).
tcf(c_3941,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3899,c_123,c_117]) ).
tcf(c_3945,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_3898,c_121,c_113,c_2887,c_2896]) ).
tcf(c_3946,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_3938,c_3945]) ).
tcf(c_3947,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3897,c_111,c_109]) ).
tcf(c_3951,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_3931,c_56]) ).
tcf(c_3978,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_3980,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_3981,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_3982,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_3983,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_3985,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2888,c_80]) ).
tcf(c_3986,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2887,c_80]) ).
tcf(c_3987,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_2886,c_80]) ).
tcf(c_3988,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2896,c_80]) ).
tcf(c_3989,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2895,c_80]) ).
tcf(c_3990,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_3312,c_80]) ).
tcf(c_3991,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3990,c_3083,c_3082]) ).
tcf(c_3995,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3989,c_115,c_56]) ).
tcf(c_3999,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3988,c_113,c_56]) ).
tcf(c_4003,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3987,c_3082,c_56]) ).
tcf(c_4007,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3986,c_121,c_56]) ).
tcf(c_4011,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3985,c_119,c_56]) ).
tcf(c_4021,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_3983,c_56]) ).
tcf(c_4027,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_3982,c_56]) ).
tcf(c_4033,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_3981,c_56]) ).
tcf(c_4042,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_3980,c_56]) ).
tcf(c_4075,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_4076,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_4077,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_4078,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_4079,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(xs)) = sdtlbdtrb0(X0,aDimensionOf0(xs)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_2878,c_94]) ).
tcf(c_4119,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3932,c_80]) ).
tcf(c_4120,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_3932,c_79]) ).
tcf(c_4121,plain,
( ( sz0z00 = iPr_def_14 )
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4120,c_3083,c_56]) ).
tcf(c_4124,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4119,c_3083,c_56]) ).
tcf(c_4128,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_3937,c_80]) ).
tcf(c_4129,plain,
( ( sz0z00 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_3937,c_79]) ).
tcf(c_4130,plain,
( ( sz0z00 = xS )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4129,c_129,c_56]) ).
tcf(c_4133,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4128,c_129,c_56]) ).
tcf(c_4137,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_3945,c_80]) ).
tcf(c_4138,plain,
( ( sz0z00 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_3945,c_79]) ).
tcf(c_4139,plain,
( ( sz0z00 = xR )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4138,c_125,c_56]) ).
tcf(c_4142,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4137,c_125,c_56]) ).
tcf(c_4146,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_3946,c_80]) ).
tcf(c_4147,plain,
( ( sz0z00 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_3946,c_79]) ).
tcf(c_4148,plain,
( ( sz0z00 = xN )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4147,c_131,c_56]) ).
tcf(c_4151,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4146,c_131,c_56]) ).
tcf(c_4162,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_3991]) ).
tcf(c_4164,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,X0)
| sdtlseqdt0(X0,iPr_def_13)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4162,c_3082]) ).
tcf(c_4174,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_4164,c_80]) ).
tcf(c_4175,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_4164,c_79]) ).
tcf(c_4176,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_4164,c_80]) ).
tcf(c_4177,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_4164,c_79]) ).
tcf(c_4179,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_4177,c_3082]) ).
tcf(c_4184,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_4175,c_3083]) ).
tcf(c_4189,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_4176,c_3082]) ).
tcf(c_4195,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_4174,c_3083]) ).
tcf(c_4212,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_4184]) ).
tcf(c_4216,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_4212,c_3083]) ).
tcf(c_4232,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_4189]) ).
tcf(c_4235,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_4232,c_3082]) ).
tcf(c_4269,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_4195]) ).
tcf(c_4303,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_4269,c_80]) ).
tcf(c_4304,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_4269,c_79]) ).
tcf(c_4307,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_4269,c_80]) ).
tcf(c_4308,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_4269,c_79]) ).
tcf(c_4309,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_4269,c_4189]) ).
tcf(c_4311,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_4269,c_4195]) ).
tcf(c_4312,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_4269,c_80]) ).
tcf(c_4313,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_4269,c_79]) ).
tcf(c_4344,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_4308,c_3082]) ).
tcf(c_4351,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_4304,c_3083]) ).
tcf(c_4358,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_4307,c_3082]) ).
tcf(c_4366,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_4303,c_3083]) ).
tcf(c_4382,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_4269,c_3941]) ).
tcf(c_4383,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_83,c_3941]) ).
tcf(c_4385,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4383,c_117,c_56]) ).
tcf(c_4389,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4382,c_117,c_56]) ).
tcf(c_4402,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_4403,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_4404,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_4405,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_4406,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_4407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_68]) ).
tcf(c_4408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_68]) ).
tcf(c_4409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_68]) ).
tcf(c_4410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_68]) ).
tcf(c_4411,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_68]) ).
tcf(c_4412,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_68]) ).
tcf(c_4413,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_68]) ).
tcf(c_4414,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_68]) ).
tcf(c_4415,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_68]) ).
tcf(c_4416,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_68]) ).
tcf(c_4417,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_68]) ).
tcf(c_4418,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_68]) ).
tcf(c_4419,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_3082,c_68]) ).
tcf(c_4420,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_3083,c_68]) ).
tcf(c_4550,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_4551,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_4552,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_4553,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_4554,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_4555,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_70]) ).
tcf(c_4556,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_70]) ).
tcf(c_4557,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_70]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_70]) ).
tcf(c_4559,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_70]) ).
tcf(c_4560,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_70]) ).
tcf(c_4561,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_70]) ).
tcf(c_4562,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_70]) ).
tcf(c_4563,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_70]) ).
tcf(c_4564,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_70]) ).
tcf(c_4565,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_70]) ).
tcf(c_4566,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_70]) ).
tcf(c_4567,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_3082,c_70]) ).
tcf(c_4568,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_3083,c_70]) ).
tcf(c_4694,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_4695,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_4696,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_4697,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_4698,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_4699,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_109,c_72]) ).
tcf(c_4700,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_111,c_72]) ).
tcf(c_4701,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_113,c_72]) ).
tcf(c_4702,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_115,c_72]) ).
tcf(c_4703,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_117,c_72]) ).
tcf(c_4704,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_119,c_72]) ).
tcf(c_4705,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_121,c_72]) ).
tcf(c_4706,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_123,c_72]) ).
tcf(c_4707,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_125,c_72]) ).
tcf(c_4708,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_127,c_72]) ).
tcf(c_4709,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_129,c_72]) ).
tcf(c_4710,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_131,c_72]) ).
tcf(c_4711,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_3082,c_72]) ).
tcf(c_4712,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_3083,c_72]) ).
tcf(c_4835,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_4836,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_4837,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_4838,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_4839,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_4840,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_109,c_73]) ).
tcf(c_4841,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_111,c_73]) ).
tcf(c_4842,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_113,c_73]) ).
tcf(c_4843,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_115,c_73]) ).
tcf(c_4844,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_117,c_73]) ).
tcf(c_4845,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_119,c_73]) ).
tcf(c_4846,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_121,c_73]) ).
tcf(c_4847,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_123,c_73]) ).
tcf(c_4848,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_125,c_73]) ).
tcf(c_4849,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_127,c_73]) ).
tcf(c_4850,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_129,c_73]) ).
tcf(c_4851,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_131,c_73]) ).
tcf(c_4852,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_3082,c_73]) ).
tcf(c_4853,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_3083,c_73]) ).
tcf(c_4980,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_4269,c_4312]) ).
tcf(c_4981,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_4312]) ).
tcf(c_4982,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_4312]) ).
tcf(c_5001,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_4269,c_4312]) ).
tcf(c_5024,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_5001,c_3082]) ).
tcf(c_5043,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_4269,c_4389]) ).
tcf(c_5044,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_4389]) ).
tcf(c_5046,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,iPr_def_13)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5044,c_123,c_56]) ).
tcf(c_5051,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_5043,c_123,c_56]) ).
tcf(c_5066,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_5051,c_80]) ).
tcf(c_5067,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_5051,c_79]) ).
tcf(c_5068,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_5067,c_3082,c_123]) ).
tcf(c_5074,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_5066,c_3082,c_123]) ).
tcf(c_5099,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_4269,c_3947]) ).
tcf(c_5100,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_83,c_3947]) ).
tcf(c_5102,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5100,c_109,c_56]) ).
tcf(c_5106,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xA,iPr_def_13)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5099,c_109,c_56]) ).
tcf(c_5121,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_5122,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_5123,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_97]) ).
tcf(c_5127,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5122,c_103]) ).
tcf(c_5128,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5121,c_101]) ).
tcf(c_5145,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_5146,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_5148,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_5146,c_103,c_108]) ).
tcf(c_5149,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5148,c_104,c_101]) ).
tcf(c_5153,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_5145,c_108]) ).
tcf(c_5170,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_2905,c_81]) ).
tcf(c_5171,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_2907,c_81]) ).
tcf(c_5172,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_2908,c_81]) ).
tcf(c_5173,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_2909,c_81]) ).
tcf(c_5174,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_2910,c_81]) ).
tcf(c_5175,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_2911,c_81]) ).
tcf(c_5176,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_2912,c_81]) ).
tcf(c_5177,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_2913,c_81]) ).
tcf(c_5178,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_2914,c_81]) ).
tcf(c_5179,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_2915,c_81]) ).
tcf(c_5180,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_2916,c_81]) ).
tcf(c_5181,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_2917,c_81]) ).
tcf(c_5182,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_2918,c_81]) ).
tcf(c_5183,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_2928,c_81]) ).
tcf(c_5184,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_2929,c_81]) ).
tcf(c_5185,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_2930,c_81]) ).
tcf(c_5186,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_2931,c_81]) ).
tcf(c_5187,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_2932,c_81]) ).
tcf(c_5188,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_2933,c_81]) ).
tcf(c_5189,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_2934,c_81]) ).
tcf(c_5190,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_2935,c_81]) ).
tcf(c_5191,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_2936,c_81]) ).
tcf(c_5192,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_2937,c_81]) ).
tcf(c_5193,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_2938,c_81]) ).
tcf(c_5194,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_2939,c_81]) ).
tcf(c_5195,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_3124,c_81]) ).
tcf(c_5196,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_3162,c_81]) ).
tcf(c_5197,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_3163,c_81]) ).
tcf(c_5198,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_2905,c_81]) ).
tcf(c_5199,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_2907,c_81]) ).
tcf(c_5200,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_2908,c_81]) ).
tcf(c_5201,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_2909,c_81]) ).
tcf(c_5202,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_2910,c_81]) ).
tcf(c_5203,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_2911,c_81]) ).
tcf(c_5204,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_2912,c_81]) ).
tcf(c_5205,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_2913,c_81]) ).
tcf(c_5206,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_2914,c_81]) ).
tcf(c_5207,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_2915,c_81]) ).
tcf(c_5208,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_2916,c_81]) ).
tcf(c_5209,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_2917,c_81]) ).
tcf(c_5210,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_2918,c_81]) ).
tcf(c_5211,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_2928,c_81]) ).
tcf(c_5212,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_2929,c_81]) ).
tcf(c_5213,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_2930,c_81]) ).
tcf(c_5214,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_2931,c_81]) ).
tcf(c_5215,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_2932,c_81]) ).
tcf(c_5216,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_2933,c_81]) ).
tcf(c_5217,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_2934,c_81]) ).
tcf(c_5218,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_2935,c_81]) ).
tcf(c_5219,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_2936,c_81]) ).
tcf(c_5220,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_2937,c_81]) ).
tcf(c_5221,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_2938,c_81]) ).
tcf(c_5222,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_2939,c_81]) ).
tcf(c_5223,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_3124,c_81]) ).
tcf(c_5224,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_3162,c_81]) ).
tcf(c_5225,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_3163,c_81]) ).
tcf(c_5226,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_4312]) ).
tcf(c_5227,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_4195]) ).
tcf(c_5228,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_5229,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_5230,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_5198,c_56]) ).
tcf(c_5237,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_5225,c_3082,c_56]) ).
tcf(c_5243,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_5224,c_3082,c_56]) ).
tcf(c_5249,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_5222,c_131,c_56]) ).
tcf(c_5255,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_5221,c_129,c_56]) ).
tcf(c_5261,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_5220,c_127,c_56]) ).
tcf(c_5267,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_5219,c_125,c_56]) ).
tcf(c_5273,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_5218,c_123,c_56]) ).
tcf(c_5279,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_5217,c_121,c_56]) ).
tcf(c_5285,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_5216,c_119,c_56]) ).
tcf(c_5291,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_5215,c_117,c_56]) ).
tcf(c_5297,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_5214,c_115,c_56]) ).
tcf(c_5303,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_5213,c_113,c_56]) ).
tcf(c_5309,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_5212,c_111,c_56]) ).
tcf(c_5315,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_5211,c_109,c_56]) ).
tcf(c_5321,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_5210,c_131,c_56]) ).
tcf(c_5327,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_5209,c_129,c_56]) ).
tcf(c_5333,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_5208,c_127,c_56]) ).
tcf(c_5339,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_5207,c_125,c_56]) ).
tcf(c_5345,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_5206,c_123,c_56]) ).
tcf(c_5351,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_5205,c_121,c_56]) ).
tcf(c_5357,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_5204,c_119,c_56]) ).
tcf(c_5363,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_5203,c_117,c_56]) ).
tcf(c_5369,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_5202,c_115,c_56]) ).
tcf(c_5375,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_5201,c_113,c_56]) ).
tcf(c_5381,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_5200,c_111,c_56]) ).
tcf(c_5387,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_5199,c_109,c_56]) ).
tcf(c_5393,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_5197,c_3082,c_56]) ).
tcf(c_5399,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_5196,c_3082,c_56]) ).
tcf(c_5405,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_5194,c_131,c_56]) ).
tcf(c_5411,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_5193,c_129,c_56]) ).
tcf(c_5417,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_5192,c_127,c_56]) ).
tcf(c_5423,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_5191,c_125,c_56]) ).
tcf(c_5429,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_5190,c_123,c_56]) ).
tcf(c_5435,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_5189,c_121,c_56]) ).
tcf(c_5441,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_5188,c_119,c_56]) ).
tcf(c_5447,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_5187,c_117,c_56]) ).
tcf(c_5453,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_5186,c_115,c_56]) ).
tcf(c_5459,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_5185,c_113,c_56]) ).
tcf(c_5465,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_5184,c_111,c_56]) ).
tcf(c_5471,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_5183,c_109,c_56]) ).
tcf(c_5477,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_5182,c_131,c_56]) ).
tcf(c_5483,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_5181,c_129,c_56]) ).
tcf(c_5489,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_5180,c_127,c_56]) ).
tcf(c_5495,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_5179,c_125,c_56]) ).
tcf(c_5501,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_5178,c_123,c_56]) ).
tcf(c_5507,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_5177,c_121,c_56]) ).
tcf(c_5513,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_5176,c_119,c_56]) ).
tcf(c_5519,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_5175,c_117,c_56]) ).
tcf(c_5525,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_5174,c_115,c_56]) ).
tcf(c_5531,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_5173,c_113,c_56]) ).
tcf(c_5537,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_5172,c_111,c_56]) ).
tcf(c_5543,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_5171,c_109,c_56]) ).
tcf(c_5549,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_5223,c_113]) ).
tcf(c_5556,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_5195,c_113]) ).
tcf(c_5734,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_120,c_87]) ).
tcf(c_5735,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_122,c_87]) ).
tcf(c_5736,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_1809,c_87]) ).
tcf(c_5737,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_2947,c_87]) ).
tcf(c_5739,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5737,c_56,c_3190]) ).
tcf(c_5744,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_5736,c_117]) ).
tcf(c_5750,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5735,c_111]) ).
tcf(c_5756,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5734,c_109]) ).
tcf(c_5773,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_3173,c_81]) ).
tcf(c_5774,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_3173,c_81]) ).
tcf(c_5775,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_5774,c_3083,c_56]) ).
tcf(c_5781,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_5773,c_3083,c_56]) ).
tcf(c_5791,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_3174,c_81]) ).
tcf(c_5792,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_3174,c_81]) ).
tcf(c_5793,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_5792,c_3083,c_56]) ).
tcf(c_5799,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_5791,c_3083,c_56]) ).
tcf(c_5807,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_3122,c_81]) ).
tcf(c_5808,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_3122,c_81]) ).
tcf(c_5809,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_5808,c_109]) ).
tcf(c_5816,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_5807,c_109]) ).
tcf(c_5830,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_5227,c_57,c_5227]) ).
tcf(c_5831,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_5830]) ).
tcf(c_5832,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_5831,c_57,c_5831]) ).
tcf(c_5833,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_5832]) ).
tcf(c_5851,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_5833]) ).
tcf(c_5852,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_4269,c_5833]) ).
tcf(c_5853,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_5833]) ).
tcf(c_5854,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_5833]) ).
tcf(c_5855,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_5833]) ).
tcf(c_5856,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_5833]) ).
tcf(c_5857,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_5833]) ).
tcf(c_5858,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_5833]) ).
tcf(c_5859,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_5833]) ).
tcf(c_5860,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_3190,c_5833]) ).
tcf(c_5861,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_2888,c_5833]) ).
tcf(c_5862,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_2887,c_5833]) ).
tcf(c_5863,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_2886,c_5833]) ).
tcf(c_5864,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_2896,c_5833]) ).
tcf(c_5865,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_2895,c_5833]) ).
tcf(c_5866,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_3312,c_5833]) ).
tcf(c_5867,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_3932,c_5833]) ).
tcf(c_5868,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_4269,c_5833]) ).
tcf(c_5869,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_4164,c_5833]) ).
tcf(c_5870,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_4164,c_5833]) ).
tcf(c_5871,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_3945,c_5833]) ).
tcf(c_5872,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_3937,c_5833]) ).
tcf(c_5873,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_3946,c_5833]) ).
tcf(c_5874,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_4269,c_5833]) ).
tcf(c_5875,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_5051,c_5833]) ).
tcf(c_5876,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_5860,c_56]) ).
tcf(c_5888,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_5873,c_131,c_56]) ).
tcf(c_5894,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_5872,c_129,c_56]) ).
tcf(c_5900,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_5871,c_125,c_56]) ).
tcf(c_5906,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_5867,c_3083,c_56]) ).
tcf(c_5912,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_5866,c_3083,c_3082]) ).
tcf(c_5918,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_5865,c_115,c_56]) ).
tcf(c_5924,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_5864,c_113,c_56]) ).
tcf(c_5930,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_5863,c_3082,c_56]) ).
tcf(c_5936,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_5862,c_121,c_56]) ).
tcf(c_5942,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_5861,c_119,c_56]) ).
tcf(c_5948,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_5870,c_3082]) ).
tcf(c_5956,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_5869,c_3083]) ).
tcf(c_5989,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_5859,c_56]) ).
tcf(c_5997,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_5858,c_56]) ).
tcf(c_6005,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_5875,c_3082,c_123]) ).
tcf(c_6014,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_5874,c_3082]) ).
tcf(c_6024,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_5868,c_3083]) ).
tcf(c_6034,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_5857,c_56]) ).
tcf(c_6045,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_5856,c_56]) ).
tcf(c_6112,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_5912]) ).
tcf(c_6113,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_4269,c_5912]) ).
tcf(c_6114,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_5912]) ).
tcf(c_6115,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_5912]) ).
tcf(c_6116,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_5912]) ).
tcf(c_6117,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_5912]) ).
tcf(c_6118,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_5912]) ).
tcf(c_6119,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_5912]) ).
tcf(c_6120,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_5912]) ).
tcf(c_6121,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_3190,c_5912]) ).
tcf(c_6122,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_2888,c_5912]) ).
tcf(c_6123,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_2887,c_5912]) ).
tcf(c_6124,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_2886,c_5912]) ).
tcf(c_6125,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_2896,c_5912]) ).
tcf(c_6126,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_2895,c_5912]) ).
tcf(c_6127,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_3312,c_5912]) ).
tcf(c_6128,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_3932,c_5912]) ).
tcf(c_6129,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_4269,c_5912]) ).
tcf(c_6130,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_4164,c_5912]) ).
tcf(c_6131,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_4164,c_5912]) ).
tcf(c_6132,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_3945,c_5912]) ).
tcf(c_6133,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_3937,c_5912]) ).
tcf(c_6134,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_3946,c_5912]) ).
tcf(c_6135,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_4269,c_5912]) ).
tcf(c_6136,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_5051,c_5912]) ).
tcf(c_6137,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_6121,c_3163,c_3174]) ).
tcf(c_6141,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_6134,c_3174]) ).
tcf(c_6142,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_6133,c_3174]) ).
tcf(c_6143,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_6132,c_3174]) ).
tcf(c_6144,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_6128,c_3174]) ).
tcf(c_6145,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_6127,c_3083,c_3082]) ).
tcf(c_6148,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_6126,c_3174]) ).
tcf(c_6149,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_6125,c_3174]) ).
tcf(c_6150,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_6124,c_3174]) ).
tcf(c_6151,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_6123,c_3174]) ).
tcf(c_6152,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_6122,c_3174]) ).
tcf(c_6153,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_6131,c_3082]) ).
tcf(c_6158,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_6130,c_3083]) ).
tcf(c_6179,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_6120,c_3174]) ).
tcf(c_6180,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_6119,c_3174]) ).
tcf(c_6181,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_6136,c_3082,c_123]) ).
tcf(c_6187,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_6135,c_3082]) ).
tcf(c_6194,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_6129,c_3083]) ).
tcf(c_6201,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_6118,c_3174]) ).
tcf(c_6202,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_6117,c_3174]) ).
tcf(c_6228,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_6145,c_5912]) ).
tcf(c_6229,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_6145,c_5833]) ).
tcf(c_6232,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_6145,c_80]) ).
tcf(c_6233,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_6145,c_79]) ).
tcf(c_6234,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_6228,c_3082]) ).
tcf(c_6238,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_6233,c_3082]) ).
tcf(c_6243,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_6232,c_3082]) ).
tcf(c_6249,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_6229,c_3082]) ).
tcf(c_6270,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_6112,c_5912]) ).
tcf(c_6271,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_6112,c_5833]) ).
tcf(c_6272,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_6112,c_4312]) ).
tcf(c_6274,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_6112,c_80]) ).
tcf(c_6275,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_6112,c_79]) ).
tcf(c_6276,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_6275,c_3082]) ).
tcf(c_6282,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_6274,c_3082]) ).
tcf(c_6289,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_6270,c_3082]) ).
tcf(c_6295,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_6272,c_3082]) ).
tcf(c_6303,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_6271,c_3082]) ).
tcf(c_6352,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_6114,c_5912]) ).
tcf(c_6353,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_6114,c_5833]) ).
tcf(c_6354,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_6114,c_4312]) ).
tcf(c_6356,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_6114,c_80]) ).
tcf(c_6357,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_6114,c_79]) ).
tcf(c_6359,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_6114,c_4189]) ).
tcf(c_6361,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_6114,c_4184]) ).
tcf(c_6362,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_6114,c_3947]) ).
tcf(c_6363,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_6114,c_3941]) ).
tcf(c_6364,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_6114,c_4389]) ).
tcf(c_6365,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_6114,c_5912]) ).
tcf(c_6366,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_6114,c_5833]) ).
tcf(c_6369,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_6114,c_80]) ).
tcf(c_6370,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_6114,c_79]) ).
tcf(c_6371,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_6114,c_5912]) ).
tcf(c_6372,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_6114,c_5833]) ).
tcf(c_6373,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_6114,c_4312]) ).
tcf(c_6375,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_6114,c_80]) ).
tcf(c_6376,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_6114,c_79]) ).
tcf(c_6379,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_6114]) ).
tcf(c_6380,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_6114]) ).
tcf(c_6381,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_6380,c_3082]) ).
tcf(c_6385,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_6379,c_3083]) ).
tcf(c_6389,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_6363,c_3163]) ).
tcf(c_6390,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_6362,c_3163]) ).
tcf(c_6391,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_6361,c_3083]) ).
tcf(c_6403,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_6364,c_3163]) ).
tcf(c_6404,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_6359,c_3082]) ).
tcf(c_6432,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_6376,c_3082]) ).
tcf(c_6440,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_6375,c_3082]) ).
tcf(c_6449,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_6371,c_3082]) ).
tcf(c_6457,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_6370,c_3083]) ).
tcf(c_6465,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_6369,c_3083]) ).
tcf(c_6474,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_6365,c_3083]) ).
tcf(c_6482,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_6373,c_3082]) ).
tcf(c_6501,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_6372,c_3082]) ).
tcf(c_6512,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_6366,c_3083]) ).
tcf(c_6547,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_6113,c_5912]) ).
tcf(c_6548,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_6113,c_5833]) ).
tcf(c_6551,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_6113,c_80]) ).
tcf(c_6552,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_6113,c_79]) ).
tcf(c_6553,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_6113,c_5912]) ).
tcf(c_6554,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_6113,c_5833]) ).
tcf(c_6555,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_6113,c_4312]) ).
tcf(c_6557,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_6113,c_80]) ).
tcf(c_6558,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_6113,c_79]) ).
tcf(c_6559,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_6558,c_3082]) ).
tcf(c_6568,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_6557,c_3082]) ).
tcf(c_6578,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_6553,c_3082]) ).
tcf(c_6587,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_6552,c_3083]) ).
tcf(c_6596,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_6551,c_3083]) ).
tcf(c_6606,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_6547,c_3083]) ).
tcf(c_6615,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_6555,c_3082]) ).
tcf(c_6626,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_6554,c_3082]) ).
tcf(c_6638,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_6548,c_3083]) ).
tcf(c_6702,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_4269,c_4385]) ).
tcf(c_6704,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_6114,c_4385]) ).
tcf(c_6705,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4385]) ).
tcf(c_6706,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6705,c_123,c_56]) ).
tcf(c_6710,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xH,iPr_def_13)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6702,c_123,c_56]) ).
tcf(c_6715,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_6704,c_3163]) ).
tcf(c_6728,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_6729,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_6728,c_101]) ).
tcf(c_6752,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_120,c_82]) ).
tcf(c_6753,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_122,c_82]) ).
tcf(c_6754,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_124,c_82]) ).
tcf(c_6755,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_126,c_82]) ).
tcf(c_6756,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_128,c_82]) ).
tcf(c_6757,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_130,c_82]) ).
tcf(c_6758,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_132,c_82]) ).
tcf(c_6759,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_1809,c_82]) ).
tcf(c_6760,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_1810,c_82]) ).
tcf(c_6761,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_2947,c_82]) ).
tcf(c_6762,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_2949,c_82]) ).
tcf(c_6763,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_2950,c_82]) ).
tcf(c_6764,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_2951,c_82]) ).
tcf(c_6765,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_2952,c_82]) ).
tcf(c_6766,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_2953,c_82]) ).
tcf(c_6767,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_2954,c_82]) ).
tcf(c_6768,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_2955,c_82]) ).
tcf(c_6769,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_2956,c_82]) ).
tcf(c_6770,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_2957,c_82]) ).
tcf(c_6771,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_2958,c_82]) ).
tcf(c_6772,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_2959,c_82]) ).
tcf(c_6773,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_2960,c_82]) ).
tcf(c_6774,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_2970,c_82]) ).
tcf(c_6775,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_2971,c_82]) ).
tcf(c_6776,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_2972,c_82]) ).
tcf(c_6777,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_2973,c_82]) ).
tcf(c_6778,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_2974,c_82]) ).
tcf(c_6779,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_2975,c_82]) ).
tcf(c_6780,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_2976,c_82]) ).
tcf(c_6781,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_2977,c_82]) ).
tcf(c_6782,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_2978,c_82]) ).
tcf(c_6783,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_2979,c_82]) ).
tcf(c_6784,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_2980,c_82]) ).
tcf(c_6785,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_2981,c_82]) ).
tcf(c_6786,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_3160,c_82]) ).
tcf(c_6787,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_3161,c_82]) ).
tcf(c_6788,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_3171,c_82]) ).
tcf(c_6789,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_3172,c_82]) ).
tcf(c_6790,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_120,c_82]) ).
tcf(c_6791,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_122,c_82]) ).
tcf(c_6792,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_124,c_82]) ).
tcf(c_6793,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_126,c_82]) ).
tcf(c_6794,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_128,c_82]) ).
tcf(c_6795,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_130,c_82]) ).
tcf(c_6796,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_132,c_82]) ).
tcf(c_6797,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_1809,c_82]) ).
tcf(c_6798,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_1810,c_82]) ).
tcf(c_6799,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_2947,c_82]) ).
tcf(c_6800,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_2949,c_82]) ).
tcf(c_6801,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_2950,c_82]) ).
tcf(c_6802,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_2951,c_82]) ).
tcf(c_6803,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_2952,c_82]) ).
tcf(c_6804,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_2953,c_82]) ).
tcf(c_6805,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_2954,c_82]) ).
tcf(c_6806,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_2955,c_82]) ).
tcf(c_6807,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_2956,c_82]) ).
tcf(c_6808,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_2957,c_82]) ).
tcf(c_6809,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_2958,c_82]) ).
tcf(c_6810,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_2959,c_82]) ).
tcf(c_6811,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_2960,c_82]) ).
tcf(c_6812,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_2970,c_82]) ).
tcf(c_6813,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_2971,c_82]) ).
tcf(c_6814,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_2972,c_82]) ).
tcf(c_6815,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_2973,c_82]) ).
tcf(c_6816,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_2974,c_82]) ).
tcf(c_6817,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_2975,c_82]) ).
tcf(c_6818,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_2976,c_82]) ).
tcf(c_6819,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_2977,c_82]) ).
tcf(c_6820,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_2978,c_82]) ).
tcf(c_6821,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_2979,c_82]) ).
tcf(c_6822,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_2980,c_82]) ).
tcf(c_6823,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_2981,c_82]) ).
tcf(c_6824,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_3160,c_82]) ).
tcf(c_6825,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_3161,c_82]) ).
tcf(c_6826,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_3171,c_82]) ).
tcf(c_6827,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_3172,c_82]) ).
tcf(c_6828,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_5912]) ).
tcf(c_6829,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_5833]) ).
tcf(c_6830,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_4312]) ).
tcf(c_6831,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_4195]) ).
tcf(c_6832,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_6833,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_6834,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_6799,c_56]) ).
tcf(c_6841,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_6797,c_117]) ).
tcf(c_6848,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_6791,c_111]) ).
tcf(c_6855,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_6790,c_109]) ).
tcf(c_6863,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_6759,c_117]) ).
tcf(c_6870,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_6753,c_111]) ).
tcf(c_6877,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_6752,c_109]) ).
tcf(c_6884,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_6827,c_3083,c_56]) ).
tcf(c_6891,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_6826,c_3083,c_56]) ).
tcf(c_6898,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_6825,c_3082,c_56]) ).
tcf(c_6905,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_6824,c_3082,c_56]) ).
tcf(c_6912,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_6823,c_131,c_56]) ).
tcf(c_6919,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_6822,c_129,c_56]) ).
tcf(c_6926,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_6821,c_127,c_56]) ).
tcf(c_6933,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_6820,c_125,c_56]) ).
tcf(c_6940,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_6819,c_123,c_56]) ).
tcf(c_6947,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_6818,c_121,c_56]) ).
tcf(c_6954,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_6817,c_119,c_56]) ).
tcf(c_6961,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_6816,c_117,c_56]) ).
tcf(c_6968,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_6815,c_115,c_56]) ).
tcf(c_6975,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_6814,c_113,c_56]) ).
tcf(c_6982,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_6813,c_111,c_56]) ).
tcf(c_6989,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_6812,c_109,c_56]) ).
tcf(c_6996,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_6811,c_131,c_56]) ).
tcf(c_7003,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_6810,c_129,c_56]) ).
tcf(c_7010,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_6809,c_127,c_56]) ).
tcf(c_7017,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_6808,c_125,c_56]) ).
tcf(c_7024,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_6807,c_123,c_56]) ).
tcf(c_7031,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_6806,c_121,c_56]) ).
tcf(c_7038,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_6805,c_119,c_56]) ).
tcf(c_7045,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_6804,c_117,c_56]) ).
tcf(c_7052,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_6803,c_115,c_56]) ).
tcf(c_7059,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_6802,c_113,c_56]) ).
tcf(c_7066,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_6801,c_111,c_56]) ).
tcf(c_7073,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_6800,c_109,c_56]) ).
tcf(c_7080,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_6798,c_115,c_113]) ).
tcf(c_7087,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_6796,c_129,c_125]) ).
tcf(c_7094,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_6795,c_119,c_115]) ).
tcf(c_7101,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_6794,c_123,c_117]) ).
tcf(c_7108,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_6793,c_121,c_113]) ).
tcf(c_7115,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_6792,c_111,c_109]) ).
tcf(c_7122,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_6789,c_3083,c_56,c_3190]) ).
tcf(c_7128,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_6788,c_3083,c_56,c_3932]) ).
tcf(c_7134,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_6787,c_3082,c_56,c_3190]) ).
tcf(c_7140,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_6786,c_3082,c_56,c_2886]) ).
tcf(c_7146,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_6785,c_131,c_56,c_3946]) ).
tcf(c_7152,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_6784,c_129,c_56,c_3937]) ).
tcf(c_7158,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_6783,c_127,c_56]) ).
tcf(c_7165,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_6782,c_125,c_56,c_3945]) ).
tcf(c_7171,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_6781,c_123,c_56]) ).
tcf(c_7178,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_6780,c_121,c_56,c_2887]) ).
tcf(c_7184,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_6779,c_119,c_56,c_2888]) ).
tcf(c_7190,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_6778,c_117,c_56]) ).
tcf(c_7197,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_6777,c_115,c_56,c_2895]) ).
tcf(c_7203,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_6776,c_113,c_56,c_2896]) ).
tcf(c_7209,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_6775,c_111,c_56]) ).
tcf(c_7216,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_6774,c_109,c_56]) ).
tcf(c_7223,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_6773,c_131,c_56,c_3190]) ).
tcf(c_7229,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_6772,c_129,c_56,c_3190]) ).
tcf(c_7235,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_6771,c_127,c_56,c_3190]) ).
tcf(c_7241,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_6770,c_125,c_56,c_3190]) ).
tcf(c_7247,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_6769,c_123,c_56,c_3190]) ).
tcf(c_7253,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_6768,c_121,c_56,c_3190]) ).
tcf(c_7259,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_6767,c_119,c_56,c_3190]) ).
tcf(c_7265,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_6766,c_117,c_56,c_3190]) ).
tcf(c_7271,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_6765,c_115,c_56,c_3190]) ).
tcf(c_7277,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_6764,c_113,c_56,c_3190]) ).
tcf(c_7283,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_6763,c_111,c_56,c_3190]) ).
tcf(c_7289,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_6762,c_109,c_56,c_3190]) ).
tcf(c_7295,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_6760,c_115,c_113,c_2895]) ).
tcf(c_7301,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_6758,c_129,c_125,c_3937]) ).
tcf(c_7307,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_6757,c_119,c_115,c_2895]) ).
tcf(c_7313,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_6756,c_123,c_117]) ).
tcf(c_7320,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_6755,c_121,c_113,c_2887]) ).
tcf(c_7326,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_6754,c_111,c_109]) ).
tcf(c_7554,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_7555,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_7556,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_7557,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_7558,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_7559,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_109,c_74]) ).
tcf(c_7560,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_111,c_74]) ).
tcf(c_7561,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_113,c_74]) ).
tcf(c_7562,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_115,c_74]) ).
tcf(c_7563,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_117,c_74]) ).
tcf(c_7564,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_119,c_74]) ).
tcf(c_7565,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_121,c_74]) ).
tcf(c_7566,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_123,c_74]) ).
tcf(c_7567,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_125,c_74]) ).
tcf(c_7568,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_127,c_74]) ).
tcf(c_7569,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_129,c_74]) ).
tcf(c_7570,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_131,c_74]) ).
tcf(c_7571,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_3082,c_74]) ).
tcf(c_7572,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_3083,c_74]) ).
tcf(c_7767,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_7775,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_3123,c_81]) ).
tcf(c_7776,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_3123,c_81]) ).
tcf(c_7777,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_7776,c_111]) ).
tcf(c_7784,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_7775,c_111]) ).
tcf(c_7795,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_3125,c_81]) ).
tcf(c_7796,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_3125,c_81]) ).
tcf(c_7797,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_7796,c_115]) ).
tcf(c_7804,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_7795,c_115]) ).
tcf(c_7815,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_3126,c_81]) ).
tcf(c_7816,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_3126,c_81]) ).
tcf(c_7817,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_7816,c_117]) ).
tcf(c_7824,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_7815,c_117]) ).
tcf(c_7849,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_3127,c_81]) ).
tcf(c_7850,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_3127,c_81]) ).
tcf(c_7851,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_7850,c_119]) ).
tcf(c_7858,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_7849,c_119]) ).
tcf(c_7867,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_6116,c_57,c_6116]) ).
tcf(c_7868,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_7867]) ).
tcf(c_7869,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_7868,c_57,c_7868]) ).
tcf(c_7870,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_7869]) ).
tcf(c_7888,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_7870]) ).
tcf(c_7889,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_4269,c_7870]) ).
tcf(c_7890,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_7870]) ).
tcf(c_7891,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_6114,c_7870]) ).
tcf(c_7892,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_7870]) ).
tcf(c_7893,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_7870]) ).
tcf(c_7894,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_7870]) ).
tcf(c_7895,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_7870]) ).
tcf(c_7896,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_7870]) ).
tcf(c_7897,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_7870]) ).
tcf(c_7898,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_7870]) ).
tcf(c_7899,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_3190,c_7870]) ).
tcf(c_7900,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_2888,c_7870]) ).
tcf(c_7901,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_2887,c_7870]) ).
tcf(c_7902,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_2886,c_7870]) ).
tcf(c_7903,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_2896,c_7870]) ).
tcf(c_7904,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_2895,c_7870]) ).
tcf(c_7905,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_3312,c_7870]) ).
tcf(c_7906,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_3932,c_7870]) ).
tcf(c_7907,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_4269,c_7870]) ).
tcf(c_7908,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_4164,c_7870]) ).
tcf(c_7909,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_4164,c_7870]) ).
tcf(c_7910,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_3945,c_7870]) ).
tcf(c_7911,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_3937,c_7870]) ).
tcf(c_7912,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_3946,c_7870]) ).
tcf(c_7913,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_4269,c_7870]) ).
tcf(c_7914,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_5051,c_7870]) ).
tcf(c_7915,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_6113,c_7870]) ).
tcf(c_7916,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_6114,c_7870]) ).
tcf(c_7917,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_6113,c_7870]) ).
tcf(c_7918,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_6114,c_7870]) ).
tcf(c_7919,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_6112,c_7870]) ).
tcf(c_7920,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_6145,c_7870]) ).
tcf(c_7921,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_7899,c_56]) ).
tcf(c_7933,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_7912,c_131,c_56]) ).
tcf(c_7939,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_7911,c_129,c_56]) ).
tcf(c_7945,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_7910,c_125,c_56]) ).
tcf(c_7951,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_7906,c_3083,c_56]) ).
tcf(c_7957,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_7905,c_3083,c_3082]) ).
tcf(c_7963,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_7904,c_115,c_56]) ).
tcf(c_7969,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_7903,c_113,c_56]) ).
tcf(c_7975,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_7902,c_3082,c_56]) ).
tcf(c_7981,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_7901,c_121,c_56]) ).
tcf(c_7987,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_7900,c_119,c_56]) ).
tcf(c_7993,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_7909,c_3082]) ).
tcf(c_8001,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_7908,c_3083]) ).
tcf(c_8034,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_7898,c_56]) ).
tcf(c_8042,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_7897,c_56]) ).
tcf(c_8050,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_7920,c_3082]) ).
tcf(c_8058,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_7914,c_3082,c_123]) ).
tcf(c_8067,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_7913,c_3082]) ).
tcf(c_8077,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_7907,c_3083]) ).
tcf(c_8096,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_7919,c_3082]) ).
tcf(c_8105,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_7918,c_3082]) ).
tcf(c_8116,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_7916,c_3083]) ).
tcf(c_8127,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_7896,c_56]) ).
tcf(c_8138,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_7895,c_56]) ).
tcf(c_8149,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_7917,c_3082]) ).
tcf(c_8161,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_7915,c_3083]) ).
tcf(c_8305,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_7957]) ).
tcf(c_8306,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_4269,c_7957]) ).
tcf(c_8307,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_7957]) ).
tcf(c_8308,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_6114,c_7957]) ).
tcf(c_8309,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_7957]) ).
tcf(c_8310,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_7957]) ).
tcf(c_8311,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_7957]) ).
tcf(c_8312,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_7957]) ).
tcf(c_8313,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_7957]) ).
tcf(c_8314,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_7957]) ).
tcf(c_8315,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_7957]) ).
tcf(c_8316,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_3190,c_7957]) ).
tcf(c_8317,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_2888,c_7957]) ).
tcf(c_8318,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_2887,c_7957]) ).
tcf(c_8319,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_2886,c_7957]) ).
tcf(c_8320,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_2896,c_7957]) ).
tcf(c_8321,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_2895,c_7957]) ).
tcf(c_8322,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_3312,c_7957]) ).
tcf(c_8323,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_3932,c_7957]) ).
tcf(c_8324,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_4269,c_7957]) ).
tcf(c_8325,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_4164,c_7957]) ).
tcf(c_8326,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_4164,c_7957]) ).
tcf(c_8327,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_3945,c_7957]) ).
tcf(c_8328,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_3937,c_7957]) ).
tcf(c_8329,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_3946,c_7957]) ).
tcf(c_8330,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_4269,c_7957]) ).
tcf(c_8331,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_5051,c_7957]) ).
tcf(c_8332,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_6113,c_7957]) ).
tcf(c_8333,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_6114,c_7957]) ).
tcf(c_8334,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_6113,c_7957]) ).
tcf(c_8335,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_6114,c_7957]) ).
tcf(c_8336,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_6112,c_7957]) ).
tcf(c_8337,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_6145,c_7957]) ).
tcf(c_8338,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_8316,c_3163,c_3174]) ).
tcf(c_8343,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_8329,c_3174]) ).
tcf(c_8344,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_8343,c_131,c_56]) ).
tcf(c_8347,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_8328,c_3174]) ).
tcf(c_8348,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_8347,c_129,c_56]) ).
tcf(c_8351,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_8327,c_3174]) ).
tcf(c_8352,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_8351,c_125,c_56]) ).
tcf(c_8355,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_8323,c_3174]) ).
tcf(c_8356,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_8355,c_3083,c_56]) ).
tcf(c_8359,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_8322,c_3083,c_3082]) ).
tcf(c_8362,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_8321,c_3174]) ).
tcf(c_8363,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_8362,c_115,c_56]) ).
tcf(c_8366,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_8320,c_3174]) ).
tcf(c_8367,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_8366,c_113,c_56]) ).
tcf(c_8370,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_8319,c_3174]) ).
tcf(c_8371,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_8370,c_3082,c_56]) ).
tcf(c_8374,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_8318,c_3174]) ).
tcf(c_8375,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_8374,c_121,c_56]) ).
tcf(c_8378,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_8317,c_3174]) ).
tcf(c_8379,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_8378,c_119,c_56]) ).
tcf(c_8382,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_8326,c_3082]) ).
tcf(c_8387,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_8325,c_3083]) ).
tcf(c_8408,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_8315,c_3174]) ).
tcf(c_8409,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_8408,c_56]) ).
tcf(c_8414,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_8314,c_3174]) ).
tcf(c_8415,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_8414,c_56]) ).
tcf(c_8420,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_8337,c_3082]) ).
tcf(c_8425,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_8331,c_3082,c_123]) ).
tcf(c_8431,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_8330,c_3082]) ).
tcf(c_8438,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_8324,c_3083]) ).
tcf(c_8451,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_8336,c_3082]) ).
tcf(c_8457,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_8335,c_3082]) ).
tcf(c_8465,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_8333,c_3083]) ).
tcf(c_8473,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_8313,c_3174]) ).
tcf(c_8474,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_8473,c_56]) ).
tcf(c_8482,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_8312,c_3174]) ).
tcf(c_8483,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_8482,c_56]) ).
tcf(c_8491,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_8334,c_3082]) ).
tcf(c_8500,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_8332,c_3083]) ).
tcf(c_8629,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_8359,c_7957]) ).
tcf(c_8630,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_8359,c_7870]) ).
tcf(c_8631,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_8359,c_5912]) ).
tcf(c_8632,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_8359,c_5833]) ).
tcf(c_8635,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_8359,c_80]) ).
tcf(c_8636,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_8359,c_79]) ).
tcf(c_8637,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_8629,c_3082]) ).
tcf(c_8641,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_8635,c_3082]) ).
tcf(c_8647,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_8631,c_3082]) ).
tcf(c_8652,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_8636,c_3082]) ).
tcf(c_8657,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_8632,c_3082]) ).
tcf(c_8665,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_8630,c_3082]) ).
tcf(c_8688,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_3174,c_8305]) ).
tcf(c_8689,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_8305,c_7957]) ).
tcf(c_8690,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_8305,c_7870]) ).
tcf(c_8691,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_8305,c_5912]) ).
tcf(c_8692,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_8305,c_5833]) ).
tcf(c_8693,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_8305,c_4312]) ).
tcf(c_8695,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_8305,c_80]) ).
tcf(c_8696,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_8305,c_79]) ).
tcf(c_8699,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_8695,c_3082]) ).
tcf(c_8706,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_8691,c_3082]) ).
tcf(c_8712,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_8696,c_3082]) ).
tcf(c_8718,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_8693,c_3082]) ).
tcf(c_8726,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_8689,c_3082]) ).
tcf(c_8732,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_8692,c_3082]) ).
tcf(c_8741,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_8690,c_3082]) ).
tcf(c_8778,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_3163,c_8307]) ).
tcf(c_8779,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_3174,c_8307]) ).
tcf(c_8780,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_8307,c_7957]) ).
tcf(c_8781,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_8307,c_7870]) ).
tcf(c_8782,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_8307,c_5912]) ).
tcf(c_8783,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_8307,c_5833]) ).
tcf(c_8784,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_8307,c_4312]) ).
tcf(c_8786,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_8307,c_80]) ).
tcf(c_8787,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_8307,c_79]) ).
tcf(c_8789,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_8307,c_4189]) ).
tcf(c_8791,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_8307,c_4184]) ).
tcf(c_8792,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_8307,c_3947]) ).
tcf(c_8793,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_8307,c_3941]) ).
tcf(c_8794,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_8307,c_4385]) ).
tcf(c_8795,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_8307,c_4389]) ).
tcf(c_8796,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_8307,c_7957]) ).
tcf(c_8797,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_8307,c_7870]) ).
tcf(c_8798,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_8307,c_5912]) ).
tcf(c_8799,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_8307,c_5833]) ).
tcf(c_8802,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_8307,c_80]) ).
tcf(c_8803,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_8307,c_79]) ).
tcf(c_8804,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_8307,c_7957]) ).
tcf(c_8805,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_8307,c_7870]) ).
tcf(c_8806,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_8307,c_5912]) ).
tcf(c_8807,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_8307,c_5833]) ).
tcf(c_8808,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_8307,c_4312]) ).
tcf(c_8810,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_8307,c_80]) ).
tcf(c_8811,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_8307,c_79]) ).
tcf(c_8814,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_8307]) ).
tcf(c_8815,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_8307]) ).
tcf(c_8816,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_8779,c_56]) ).
tcf(c_8821,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_8778,c_56]) ).
tcf(c_8826,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_8794,c_3163]) ).
tcf(c_8827,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_8826,c_123,c_56]) ).
tcf(c_8832,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_8793,c_3163]) ).
tcf(c_8833,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_8832,c_117,c_56]) ).
tcf(c_8838,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_8792,c_3163]) ).
tcf(c_8839,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_8838,c_109,c_56]) ).
tcf(c_8844,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_8791,c_3083]) ).
tcf(c_8850,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_8815,c_3082]) ).
tcf(c_8854,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_8814,c_3083]) ).
tcf(c_8864,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_8795,c_3163]) ).
tcf(c_8865,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_8864,c_123,c_56]) ).
tcf(c_8871,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_8789,c_3082]) ).
tcf(c_8905,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_8810,c_3082]) ).
tcf(c_8914,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_8806,c_3082]) ).
tcf(c_8922,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_8802,c_3083]) ).
tcf(c_8931,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_8798,c_3083]) ).
tcf(c_8948,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_8811,c_3082]) ).
tcf(c_8956,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_8808,c_3082]) ).
tcf(c_8966,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_8803,c_3083]) ).
tcf(c_8974,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_8804,c_3082]) ).
tcf(c_8982,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_8796,c_3083]) ).
tcf(c_8999,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_8807,c_3082]) ).
tcf(c_9010,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_8799,c_3083]) ).
tcf(c_9021,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_8805,c_3082]) ).
tcf(c_9032,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_8797,c_3083]) ).
tcf(c_9088,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_3174,c_8306]) ).
tcf(c_9089,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_8306,c_7957]) ).
tcf(c_9090,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_8306,c_7870]) ).
tcf(c_9091,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_8306,c_5912]) ).
tcf(c_9092,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_8306,c_5833]) ).
tcf(c_9095,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_8306,c_80]) ).
tcf(c_9096,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_8306,c_79]) ).
tcf(c_9097,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_8306,c_7957]) ).
tcf(c_9098,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_8306,c_7870]) ).
tcf(c_9099,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_8306,c_5912]) ).
tcf(c_9100,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_8306,c_5833]) ).
tcf(c_9101,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_8306,c_4312]) ).
tcf(c_9103,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_8306,c_80]) ).
tcf(c_9104,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_8306,c_79]) ).
tcf(c_9105,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_9088,c_56]) ).
tcf(c_9111,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_9103,c_3082]) ).
tcf(c_9121,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_9099,c_3082]) ).
tcf(c_9130,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_9095,c_3083]) ).
tcf(c_9140,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_9091,c_3083]) ).
tcf(c_9149,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_9104,c_3082]) ).
tcf(c_9158,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_9101,c_3082]) ).
tcf(c_9169,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_9096,c_3083]) ).
tcf(c_9178,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_9097,c_3082]) ).
tcf(c_9187,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_9089,c_3083]) ).
tcf(c_9196,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_9100,c_3082]) ).
tcf(c_9208,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_9092,c_3083]) ).
tcf(c_9220,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_9098,c_3082]) ).
tcf(c_9232,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_9090,c_3083]) ).
tcf(c_9263,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_3163,c_8308]) ).
tcf(c_9264,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_3174,c_8308]) ).
tcf(c_9265,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_8308,c_7957]) ).
tcf(c_9266,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_8308,c_7870]) ).
tcf(c_9267,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_8308,c_5912]) ).
tcf(c_9268,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_8308,c_5833]) ).
tcf(c_9271,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_8308,c_80]) ).
tcf(c_9272,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_8308,c_79]) ).
tcf(c_9273,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_8308,c_7957]) ).
tcf(c_9274,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_8308,c_7870]) ).
tcf(c_9275,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_8308,c_5912]) ).
tcf(c_9276,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_8308,c_5833]) ).
tcf(c_9277,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_8308,c_4312]) ).
tcf(c_9279,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_8308,c_80]) ).
tcf(c_9280,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_8308,c_79]) ).
tcf(c_9281,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_9264,c_3163]) ).
tcf(c_9282,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_9263,c_3174]) ).
tcf(c_9283,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_9279,c_3082]) ).
tcf(c_9293,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_9275,c_3082]) ).
tcf(c_9302,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_9271,c_3083]) ).
tcf(c_9312,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_9267,c_3083]) ).
tcf(c_9321,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_9280,c_3082]) ).
tcf(c_9330,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_9277,c_3082]) ).
tcf(c_9341,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_9272,c_3083]) ).
tcf(c_9350,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_9273,c_3082]) ).
tcf(c_9359,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_9265,c_3083]) ).
tcf(c_9368,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_9276,c_3082]) ).
tcf(c_9380,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_9268,c_3083]) ).
tcf(c_9392,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_9274,c_3082]) ).
tcf(c_9404,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_9266,c_3083]) ).
tcf(c_9475,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_5046,c_7870]) ).
tcf(c_9477,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_5046,c_5833]) ).
tcf(c_9480,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_5046,c_80]) ).
tcf(c_9481,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_5046,c_79]) ).
tcf(c_9482,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_9481,c_123,c_56]) ).
tcf(c_9488,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_9480,c_123,c_56]) ).
tcf(c_9495,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_9477,c_123,c_56]) ).
tcf(c_9504,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_9475,c_123,c_56]) ).
tcf(c_9531,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_9532,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_9533,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_9537,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_9532,c_103,c_108,c_626]) ).
tcf(c_9538,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_9537,c_104,c_101]) ).
tcf(c_9542,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_9531,c_103,c_108,c_626]) ).
tcf(c_9543,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_9542,c_101]) ).
tcf(c_9553,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_3128,c_81]) ).
tcf(c_9554,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_3128,c_81]) ).
tcf(c_9555,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_9554,c_121]) ).
tcf(c_9562,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_9553,c_121]) ).
tcf(c_9579,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_3129,c_81]) ).
tcf(c_9580,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_3129,c_81]) ).
tcf(c_9581,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_9580,c_123]) ).
tcf(c_9588,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_9579,c_123]) ).
tcf(c_9599,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_3130,c_81]) ).
tcf(c_9600,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_3130,c_81]) ).
tcf(c_9601,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_9600,c_125]) ).
tcf(c_9608,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_9599,c_125]) ).
tcf(c_9619,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_3131,c_81]) ).
tcf(c_9620,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_3131,c_81]) ).
tcf(c_9621,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_9620,c_127]) ).
tcf(c_9628,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_9619,c_127]) ).
tcf(c_9639,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_3132,c_81]) ).
tcf(c_9640,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_3132,c_81]) ).
tcf(c_9641,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_9640,c_129]) ).
tcf(c_9648,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_9639,c_129]) ).
tcf(c_9665,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_3133,c_81]) ).
tcf(c_9666,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_3133,c_81]) ).
tcf(c_9667,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_9666,c_131]) ).
tcf(c_9674,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_9665,c_131]) ).
tcf(c_9685,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_3158,c_81]) ).
tcf(c_9686,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_3158,c_81]) ).
tcf(c_9687,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_3158,c_8308]) ).
tcf(c_9688,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_3158,c_8306]) ).
tcf(c_9689,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_3158,c_8307]) ).
tcf(c_9690,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_3158,c_6113]) ).
tcf(c_9691,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_3158,c_6114]) ).
tcf(c_9703,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_9689,c_3163]) ).
tcf(c_9704,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_9688,c_3163]) ).
tcf(c_9705,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_9686,c_3082]) ).
tcf(c_9712,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_9685,c_3082]) ).
tcf(c_9719,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_9687,c_3163]) ).
tcf(c_9732,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_6828,c_58,c_6828]) ).
tcf(c_9733,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_9732]) ).
tcf(c_9734,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_9733,c_58,c_9733]) ).
tcf(c_9735,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_9734]) ).
tcf(c_9755,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_9735]) ).
tcf(c_9756,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_4269,c_9735]) ).
tcf(c_9757,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_9735]) ).
tcf(c_9758,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_8307,c_9735]) ).
tcf(c_9759,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_6114,c_9735]) ).
tcf(c_9760,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_9735]) ).
tcf(c_9761,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_9735]) ).
tcf(c_9762,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_9735]) ).
tcf(c_9763,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_9735]) ).
tcf(c_9764,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_9735]) ).
tcf(c_9765,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_9735]) ).
tcf(c_9766,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_9735]) ).
tcf(c_9767,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_3190,c_9735]) ).
tcf(c_9768,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_2888,c_9735]) ).
tcf(c_9769,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_2887,c_9735]) ).
tcf(c_9770,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_2886,c_9735]) ).
tcf(c_9771,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_2896,c_9735]) ).
tcf(c_9772,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_2895,c_9735]) ).
tcf(c_9773,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_3312,c_9735]) ).
tcf(c_9774,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_3932,c_9735]) ).
tcf(c_9775,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_4269,c_9735]) ).
tcf(c_9776,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_4164,c_9735]) ).
tcf(c_9777,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_4164,c_9735]) ).
tcf(c_9778,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_3945,c_9735]) ).
tcf(c_9779,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_3937,c_9735]) ).
tcf(c_9780,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_3946,c_9735]) ).
tcf(c_9781,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_4269,c_9735]) ).
tcf(c_9782,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_5051,c_9735]) ).
tcf(c_9783,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_5046,c_9735]) ).
tcf(c_9784,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_6113,c_9735]) ).
tcf(c_9785,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_6114,c_9735]) ).
tcf(c_9786,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_6113,c_9735]) ).
tcf(c_9787,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_6114,c_9735]) ).
tcf(c_9788,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_6112,c_9735]) ).
tcf(c_9789,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_6145,c_9735]) ).
tcf(c_9790,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_8359,c_9735]) ).
tcf(c_9791,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_8306,c_9735]) ).
tcf(c_9792,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_8307,c_9735]) ).
tcf(c_9793,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_8305,c_9735]) ).
tcf(c_9794,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_8306,c_9735]) ).
tcf(c_9795,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_8307,c_9735]) ).
tcf(c_9796,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_8308,c_9735]) ).
tcf(c_9797,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_8308,c_9735]) ).
tcf(c_9798,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_9767,c_56]) ).
tcf(c_9812,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_9780,c_131,c_56]) ).
tcf(c_9819,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_9779,c_129,c_56]) ).
tcf(c_9826,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_9778,c_125,c_56]) ).
tcf(c_9833,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_9774,c_3083,c_56]) ).
tcf(c_9840,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_9773,c_3083,c_3082]) ).
tcf(c_9847,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_9772,c_115,c_56]) ).
tcf(c_9854,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_9771,c_113,c_56]) ).
tcf(c_9861,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_9770,c_3082,c_56]) ).
tcf(c_9868,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_9769,c_121,c_56]) ).
tcf(c_9875,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_9768,c_119,c_56]) ).
tcf(c_9882,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_9777,c_3082]) ).
tcf(c_9891,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_9776,c_3083]) ).
tcf(c_9928,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_9766,c_56]) ).
tcf(c_9937,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_9765,c_56]) ).
tcf(c_9946,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_9789,c_3082]) ).
tcf(c_9955,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_9783,c_123,c_56]) ).
tcf(c_9965,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_9782,c_3082,c_123]) ).
tcf(c_9975,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_9781,c_3082]) ).
tcf(c_9986,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_9775,c_3083]) ).
tcf(c_10007,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_9788,c_3082]) ).
tcf(c_10027,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_9790,c_3082]) ).
tcf(c_10036,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_9793,c_3082]) ).
tcf(c_10046,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_9787,c_3082]) ).
tcf(c_10058,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_9785,c_3083]) ).
tcf(c_10070,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_9764,c_56]) ).
tcf(c_10082,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_9763,c_56]) ).
tcf(c_10094,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_9786,c_3082]) ).
tcf(c_10107,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_9784,c_3083]) ).
tcf(c_10120,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_9795,c_3083]) ).
tcf(c_10132,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_9792,c_3082]) ).
tcf(c_10144,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_9794,c_3083]) ).
tcf(c_10157,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_9791,c_3082]) ).
tcf(c_10184,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_9797,c_3082]) ).
tcf(c_10197,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_9796,c_3083]) ).
tcf(c_10353,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_9840]) ).
tcf(c_10354,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_4269,c_9840]) ).
tcf(c_10356,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_8307,c_9840]) ).
tcf(c_10357,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_6114,c_9840]) ).
tcf(c_10358,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_9840]) ).
tcf(c_10359,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_9840]) ).
tcf(c_10360,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_9840]) ).
tcf(c_10361,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_9840]) ).
tcf(c_10362,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_9840]) ).
tcf(c_10363,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_9840]) ).
tcf(c_10364,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_9840]) ).
tcf(c_10365,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_3190,c_9840]) ).
tcf(c_10366,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_2888,c_9840]) ).
tcf(c_10367,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_2887,c_9840]) ).
tcf(c_10368,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_2886,c_9840]) ).
tcf(c_10369,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_2896,c_9840]) ).
tcf(c_10370,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_2895,c_9840]) ).
tcf(c_10371,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_3312,c_9840]) ).
tcf(c_10372,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_3932,c_9840]) ).
tcf(c_10373,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_4269,c_9840]) ).
tcf(c_10374,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_4164,c_9840]) ).
tcf(c_10375,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_4164,c_9840]) ).
tcf(c_10376,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_3945,c_9840]) ).
tcf(c_10377,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_3937,c_9840]) ).
tcf(c_10378,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_3946,c_9840]) ).
tcf(c_10379,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_4269,c_9840]) ).
tcf(c_10380,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_5051,c_9840]) ).
tcf(c_10381,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_5046,c_9840]) ).
tcf(c_10382,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_6113,c_9840]) ).
tcf(c_10383,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_6114,c_9840]) ).
tcf(c_10384,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_6113,c_9840]) ).
tcf(c_10385,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_6114,c_9840]) ).
tcf(c_10386,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_6112,c_9840]) ).
tcf(c_10387,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_6145,c_9840]) ).
tcf(c_10388,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_8359,c_9840]) ).
tcf(c_10389,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_8306,c_9840]) ).
tcf(c_10390,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_8307,c_9840]) ).
tcf(c_10391,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_8305,c_9840]) ).
tcf(c_10392,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_8306,c_9840]) ).
tcf(c_10393,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_8307,c_9840]) ).
tcf(c_10394,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_8308,c_9840]) ).
tcf(c_10395,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_8308,c_9840]) ).
tcf(c_10396,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(light_normalisation,[status(thm)],[c_10365,c_3161,c_3163,c_3172,c_3174]) ).
tcf(c_10401,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_10378,c_3172,c_3174]) ).
tcf(c_10402,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_10377,c_3172,c_3174]) ).
tcf(c_10403,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_10376,c_3172,c_3174]) ).
tcf(c_10404,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_10372,c_3172,c_3174]) ).
tcf(c_10405,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_10371,c_3083,c_3082,c_3932]) ).
tcf(c_10408,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_10370,c_3172,c_3174]) ).
tcf(c_10409,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_10369,c_3172,c_3174]) ).
tcf(c_10410,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_10368,c_3172,c_3174]) ).
tcf(c_10411,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_10367,c_3172,c_3174]) ).
tcf(c_10412,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_10366,c_3172,c_3174]) ).
tcf(c_10413,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_10375,c_3082]) ).
tcf(c_10419,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_10374,c_3083,c_3932]) ).
tcf(c_10437,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_10364,c_3172,c_3174]) ).
tcf(c_10438,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_10363,c_3172,c_3174]) ).
tcf(c_10439,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_10381,c_3161,c_3163]) ).
tcf(c_10440,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_10380,c_3082,c_123]) ).
tcf(c_10447,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_10379,c_3082]) ).
tcf(c_10455,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_10373,c_3083,c_3932]) ).
tcf(c_10469,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_10387,c_3082]) ).
tcf(c_10475,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_10386,c_3082]) ).
tcf(c_10489,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_10383,c_3083,c_3932]) ).
tcf(c_10497,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_10362,c_3172,c_3174]) ).
tcf(c_10498,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_10361,c_3172,c_3174]) ).
tcf(c_10499,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_10388,c_3082]) ).
tcf(c_10505,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_10385,c_3082]) ).
tcf(c_10514,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_10382,c_3083,c_3932]) ).
tcf(c_10523,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_10391,c_3082]) ).
tcf(c_10530,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_10384,c_3082]) ).
tcf(c_10540,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_10393,c_3083,c_3932]) ).
tcf(c_10548,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_10392,c_3083,c_3932]) ).
tcf(c_10557,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_10390,c_3082]) ).
tcf(c_10577,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_10394,c_3083,c_3932]) ).
tcf(c_10586,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_10389,c_3082]) ).
tcf(c_10608,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_10395,c_3082]) ).
tcf(c_10804,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_10405,c_9840]) ).
tcf(c_10805,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_10405,c_9735]) ).
tcf(c_10806,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_10405,c_7957]) ).
tcf(c_10807,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_10405,c_7870]) ).
tcf(c_10808,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_10405,c_5912]) ).
tcf(c_10809,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_10405,c_5833]) ).
tcf(c_10812,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_10405,c_80]) ).
tcf(c_10813,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_10405,c_79]) ).
tcf(c_10814,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_10812,c_3082]) ).
tcf(c_10820,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_10808,c_3082]) ).
tcf(c_10825,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_10813,c_3082]) ).
tcf(c_10830,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_10806,c_3082]) ).
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,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_10804,c_3082]) ).
tcf(c_10840,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_10809,c_3082]) ).
tcf(c_10848,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_10807,c_3082]) ).
tcf(c_10856,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_10805,c_3082]) ).
tcf(c_10884,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_3172,c_10353]) ).
tcf(c_10885,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_10353,c_9840]) ).
tcf(c_10886,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_10353,c_9735]) ).
tcf(c_10887,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_10353,c_7957]) ).
tcf(c_10888,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_10353,c_7870]) ).
tcf(c_10889,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_10353,c_5912]) ).
tcf(c_10890,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_10353,c_5833]) ).
tcf(c_10891,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_10353,c_4312]) ).
tcf(c_10893,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_10353,c_80]) ).
tcf(c_10894,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_10353,c_79]) ).
tcf(c_10896,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_10893,c_3082]) ).
tcf(c_10904,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_10889,c_3082]) ).
tcf(c_10911,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_10894,c_3082]) ).
tcf(c_10918,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_10891,c_3082]) ).
tcf(c_10927,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_10887,c_3082]) ).
tcf(c_10934,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_10890,c_3082]) ).
tcf(c_10944,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_10885,c_3082]) ).
tcf(c_10952,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_10888,c_3082]) ).
tcf(c_10962,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_10886,c_3082]) ).
tcf(c_11173,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_3172,c_10358]) ).
tcf(c_11174,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_10358,c_9840]) ).
tcf(c_11175,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_10358,c_9735]) ).
tcf(c_11177,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_10358,c_7870]) ).
tcf(c_11179,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_10358,c_5833]) ).
tcf(c_11180,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_10358,c_4312]) ).
tcf(c_11182,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_10358,c_80]) ).
tcf(c_11183,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_10358,c_79]) ).
tcf(c_11187,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_10358,c_4184]) ).
tcf(c_11188,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_10358,c_3947]) ).
tcf(c_11189,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_10358,c_3941]) ).
tcf(c_11190,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_10358,c_4385]) ).
tcf(c_11192,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_10358,c_9840]) ).
tcf(c_11193,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_10358,c_9735]) ).
tcf(c_11194,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_10358,c_7957]) ).
tcf(c_11195,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_10358,c_7870]) ).
tcf(c_11196,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_10358,c_5912]) ).
tcf(c_11197,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_10358,c_5833]) ).
tcf(c_11200,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_10358,c_80]) ).
tcf(c_11201,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_10358,c_79]) ).
tcf(c_11202,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_10358,c_9840]) ).
tcf(c_11203,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_10358,c_9735]) ).
tcf(c_11204,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_10358,c_7957]) ).
tcf(c_11205,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_10358,c_7870]) ).
tcf(c_11206,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_10358,c_5912]) ).
tcf(c_11207,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_10358,c_5833]) ).
tcf(c_11208,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_10358,c_4312]) ).
tcf(c_11210,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_10358,c_80]) ).
tcf(c_11211,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_10358,c_79]) ).
tcf(c_11214,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_10358]) ).
tcf(c_11215,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_10358]) ).
tcf(c_11216,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_11173,c_3174]) ).
tcf(c_11217,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_11190,c_3161,c_3163]) ).
tcf(c_11218,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_11189,c_3161,c_3163]) ).
tcf(c_11219,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_11188,c_3161,c_3163]) ).
tcf(c_11220,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_11187,c_3083,c_3932]) ).
tcf(c_11226,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_11215,c_3082,c_2886]) ).
tcf(c_11245,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_11214,c_3083]) ).
tcf(c_11267,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_11210,c_3082]) ).
tcf(c_11277,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_11206,c_3082]) ).
tcf(c_11286,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_11200,c_3083]) ).
tcf(c_11296,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_11196,c_3083]) ).
tcf(c_11315,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_11211,c_3082]) ).
tcf(c_11324,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_11208,c_3082]) ).
tcf(c_11335,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_11201,c_3083]) ).
tcf(c_11344,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_11204,c_3082]) ).
tcf(c_11353,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_11194,c_3083]) ).
tcf(c_11372,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_11192,c_3083,c_3932]) ).
tcf(c_11392,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_11207,c_3082]) ).
tcf(c_11404,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_11197,c_3083]) ).
tcf(c_11416,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_11202,c_3082]) ).
tcf(c_11426,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_11205,c_3082]) ).
tcf(c_11438,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_11195,c_3083]) ).
tcf(c_11450,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_11203,c_3082]) ).
tcf(c_11463,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_11193,c_3083]) ).
tcf(c_11523,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_3172,c_10354]) ).
tcf(c_11524,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_10354,c_9840]) ).
tcf(c_11525,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_10354,c_9735]) ).
tcf(c_11526,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_10354,c_7957]) ).
tcf(c_11527,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_10354,c_7870]) ).
tcf(c_11528,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_10354,c_5912]) ).
tcf(c_11529,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_10354,c_5833]) ).
tcf(c_11532,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_10354,c_80]) ).
tcf(c_11533,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_10354,c_79]) ).
tcf(c_11534,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_10354,c_9840]) ).
tcf(c_11535,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_10354,c_9735]) ).
tcf(c_11536,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_10354,c_7957]) ).
tcf(c_11537,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_10354,c_7870]) ).
tcf(c_11538,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_10354,c_5912]) ).
tcf(c_11539,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_10354,c_5833]) ).
tcf(c_11540,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_10354,c_4312]) ).
tcf(c_11542,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_10354,c_80]) ).
tcf(c_11543,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_10354,c_79]) ).
tcf(c_11544,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_11523,c_3174]) ).
tcf(c_11545,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_11542,c_3082]) ).
tcf(c_11556,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_11538,c_3082]) ).
tcf(c_11566,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_11532,c_3083]) ).
tcf(c_11577,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_11528,c_3083]) ).
tcf(c_11587,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_11543,c_3082]) ).
tcf(c_11597,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_11540,c_3082]) ).
tcf(c_11609,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_11533,c_3083]) ).
tcf(c_11619,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_11536,c_3082]) ).
tcf(c_11629,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_11526,c_3083]) ).
tcf(c_11639,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_11524,c_3083,c_3932]) ).
tcf(c_11649,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_11539,c_3082]) ).
tcf(c_11662,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_11529,c_3083]) ).
tcf(c_11675,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_11534,c_3082]) ).
tcf(c_11686,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_11537,c_3082]) ).
tcf(c_11699,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_11527,c_3083]) ).
tcf(c_11712,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_11535,c_3082]) ).
tcf(c_11726,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_11525,c_3083]) ).
tcf(c_11835,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_4269,c_5102]) ).
tcf(c_11837,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_10358,c_5102]) ).
tcf(c_11838,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_8307,c_5102]) ).
tcf(c_11839,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_6114,c_5102]) ).
tcf(c_11840,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_5102]) ).
tcf(c_11841,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11840,c_111,c_56]) ).
tcf(c_11845,plain,
( sdtlseqdt0(iPr_def_14,sz0z00)
| sdtlseqdt0(xB,iPr_def_13)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11835,c_111,c_56]) ).
tcf(c_11850,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_11839,c_3163]) ).
tcf(c_11851,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_11838,c_3163]) ).
tcf(c_11852,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_11851,c_111,c_56]) ).
tcf(c_11857,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_11837,c_3161,c_3163]) ).
tcf(c_11860,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_3169,c_81]) ).
tcf(c_11861,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_3169,c_81]) ).
tcf(c_11862,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_3169,c_8306]) ).
tcf(c_11863,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_3169,c_8307]) ).
tcf(c_11864,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_3169,c_8305]) ).
tcf(c_11868,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_3169,c_8308]) ).
tcf(c_11869,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_11864,c_3174]) ).
tcf(c_11870,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_11863,c_3174]) ).
tcf(c_11871,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_11862,c_3174]) ).
tcf(c_11872,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_11861,c_3083]) ).
tcf(c_11879,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_11860,c_3083]) ).
tcf(c_11886,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_11868,c_3174]) ).
tcf(c_11891,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_3201,c_81]) ).
tcf(c_11892,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_3201,c_81]) ).
tcf(c_11893,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_11892,c_109]) ).
tcf(c_11900,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_11891,c_109]) ).
tcf(c_11909,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_3202,c_81]) ).
tcf(c_11910,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_3202,c_81]) ).
tcf(c_11911,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_11910,c_111]) ).
tcf(c_11918,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_11909,c_111]) ).
tcf(c_11927,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_3203,c_81]) ).
tcf(c_11928,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_3203,c_81]) ).
tcf(c_11929,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_11928,c_113]) ).
tcf(c_11936,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_11927,c_113]) ).
tcf(c_11966,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_3204,c_81]) ).
tcf(c_11967,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_3204,c_81]) ).
tcf(c_11968,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_11967,c_115]) ).
tcf(c_11975,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_11966,c_115]) ).
tcf(c_11984,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_3205,c_81]) ).
tcf(c_11985,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_3205,c_81]) ).
tcf(c_11986,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_11985,c_117]) ).
tcf(c_11993,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_11984,c_117]) ).
tcf(c_12002,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_3206,c_81]) ).
tcf(c_12003,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_3206,c_81]) ).
tcf(c_12004,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_12003,c_119]) ).
tcf(c_12011,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_12002,c_119]) ).
tcf(c_12020,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_3207,c_81]) ).
tcf(c_12021,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_3207,c_81]) ).
tcf(c_12022,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_12021,c_121]) ).
tcf(c_12029,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_12020,c_121]) ).
tcf(c_12050,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_3161,c_10357]) ).
tcf(c_12051,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_3172,c_10357]) ).
tcf(c_12052,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_10357,c_9840]) ).
tcf(c_12053,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_10357,c_9735]) ).
tcf(c_12054,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_10357,c_7957]) ).
tcf(c_12055,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_10357,c_7870]) ).
tcf(c_12056,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_10357,c_5912]) ).
tcf(c_12057,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_10357,c_5833]) ).
tcf(c_12060,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_10357,c_80]) ).
tcf(c_12061,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_10357,c_79]) ).
tcf(c_12062,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_10357,c_9840]) ).
tcf(c_12063,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_10357,c_9735]) ).
tcf(c_12064,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_10357,c_7957]) ).
tcf(c_12065,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_10357,c_7870]) ).
tcf(c_12066,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_10357,c_5912]) ).
tcf(c_12067,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_10357,c_5833]) ).
tcf(c_12068,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_10357,c_4312]) ).
tcf(c_12070,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_10357,c_80]) ).
tcf(c_12071,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_10357,c_79]) ).
tcf(c_12072,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_12051,c_3163,c_3174]) ).
tcf(c_12073,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_12050,c_3163,c_3174]) ).
tcf(c_12074,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_12070,c_3082]) ).
tcf(c_12085,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_12066,c_3082]) ).
tcf(c_12095,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_12060,c_3083]) ).
tcf(c_12106,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_12056,c_3083]) ).
tcf(c_12116,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_12071,c_3082]) ).
tcf(c_12126,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_12068,c_3082]) ).
tcf(c_12138,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_12061,c_3083]) ).
tcf(c_12148,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_12064,c_3082]) ).
tcf(c_12158,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_12054,c_3083]) ).
tcf(c_12168,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_12052,c_3083,c_3932]) ).
tcf(c_12178,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_12067,c_3082]) ).
tcf(c_12191,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_12057,c_3083]) ).
tcf(c_12204,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_12062,c_3082]) ).
tcf(c_12215,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_12065,c_3082]) ).
tcf(c_12228,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_12055,c_3083]) ).
tcf(c_12241,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_12063,c_3082]) ).
tcf(c_12255,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_12053,c_3083]) ).
tcf(c_12362,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_3172,c_10356]) ).
tcf(c_12363,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_3169,c_10356]) ).
tcf(c_12364,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_3174,c_10356]) ).
tcf(c_12365,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_10356,c_9840]) ).
tcf(c_12366,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_10356,c_9735]) ).
tcf(c_12367,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_10356,c_7957]) ).
tcf(c_12368,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_10356,c_7870]) ).
tcf(c_12369,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_10356,c_5912]) ).
tcf(c_12370,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_10356,c_5833]) ).
tcf(c_12371,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_10356,c_4312]) ).
tcf(c_12373,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_10356,c_80]) ).
tcf(c_12374,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_10356,c_79]) ).
tcf(c_12375,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_10356,c_9840]) ).
tcf(c_12376,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_10356,c_9735]) ).
tcf(c_12377,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_10356,c_7957]) ).
tcf(c_12378,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_10356,c_7870]) ).
tcf(c_12379,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_10356,c_5912]) ).
tcf(c_12380,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_10356,c_5833]) ).
tcf(c_12381,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_10356,c_4312]) ).
tcf(c_12383,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_10356,c_80]) ).
tcf(c_12384,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_10356,c_79]) ).
tcf(c_12385,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_12364,c_3161,c_3163]) ).
tcf(c_12386,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_12362,c_3163,c_3174]) ).
tcf(c_12387,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_12363,c_3174]) ).
tcf(c_12388,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_12383,c_3082]) ).
tcf(c_12399,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_12379,c_3082]) ).
tcf(c_12409,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_12373,c_3082]) ).
tcf(c_12420,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_12369,c_3082]) ).
tcf(c_12430,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_12384,c_3082]) ).
tcf(c_12440,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_12381,c_3082]) ).
tcf(c_12452,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_12374,c_3082]) ).
tcf(c_12462,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_12371,c_3082]) ).
tcf(c_12474,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_12377,c_3082]) ).
tcf(c_12484,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_12367,c_3082]) ).
tcf(c_12494,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_12380,c_3082]) ).
tcf(c_12507,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_12370,c_3082]) ).
tcf(c_12520,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_12375,c_3082]) ).
tcf(c_12531,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_12365,c_3082]) ).
tcf(c_12542,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_12378,c_3082]) ).
tcf(c_12555,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_12368,c_3082]) ).
tcf(c_12568,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_12376,c_3082]) ).
tcf(c_12582,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_12366,c_3082]) ).
tcf(c_12639,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_8310,c_57,c_8310]) ).
tcf(c_12640,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_12639]) ).
tcf(c_12641,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_12640,c_57,c_12640]) ).
tcf(c_12642,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_12641]) ).
tcf(c_12660,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_12642]) ).
tcf(c_12661,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_4269,c_12642]) ).
tcf(c_12662,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_12642]) ).
tcf(c_12663,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_10358,c_12642]) ).
tcf(c_12664,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_8307,c_12642]) ).
tcf(c_12665,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_6114,c_12642]) ).
tcf(c_12666,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_12642]) ).
tcf(c_12667,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_12642]) ).
tcf(c_12668,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_12642]) ).
tcf(c_12669,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_12642]) ).
tcf(c_12670,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_12642]) ).
tcf(c_12671,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_12642]) ).
tcf(c_12672,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_12642]) ).
tcf(c_12673,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_3190,c_12642]) ).
tcf(c_12674,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_2888,c_12642]) ).
tcf(c_12675,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_2887,c_12642]) ).
tcf(c_12676,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_2886,c_12642]) ).
tcf(c_12677,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_2896,c_12642]) ).
tcf(c_12678,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_2895,c_12642]) ).
tcf(c_12679,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_3312,c_12642]) ).
tcf(c_12680,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_3932,c_12642]) ).
tcf(c_12681,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_4269,c_12642]) ).
tcf(c_12682,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_4164,c_12642]) ).
tcf(c_12683,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_4164,c_12642]) ).
tcf(c_12684,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_3945,c_12642]) ).
tcf(c_12685,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_3937,c_12642]) ).
tcf(c_12686,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_3946,c_12642]) ).
tcf(c_12687,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_4269,c_12642]) ).
tcf(c_12688,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_5051,c_12642]) ).
tcf(c_12689,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_5046,c_12642]) ).
tcf(c_12690,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_6113,c_12642]) ).
tcf(c_12691,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_6114,c_12642]) ).
tcf(c_12692,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_6113,c_12642]) ).
tcf(c_12693,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_6114,c_12642]) ).
tcf(c_12694,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_6112,c_12642]) ).
tcf(c_12695,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_6145,c_12642]) ).
tcf(c_12696,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_8359,c_12642]) ).
tcf(c_12697,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_8306,c_12642]) ).
tcf(c_12698,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_8307,c_12642]) ).
tcf(c_12699,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_8305,c_12642]) ).
tcf(c_12700,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_8306,c_12642]) ).
tcf(c_12701,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_8307,c_12642]) ).
tcf(c_12702,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_8308,c_12642]) ).
tcf(c_12703,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_10356,c_12642]) ).
tcf(c_12704,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_8308,c_12642]) ).
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,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_10357,c_12642]) ).
tcf(c_12706,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_10354,c_12642]) ).
tcf(c_12707,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_10358,c_12642]) ).
tcf(c_12708,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_10356,c_12642]) ).
tcf(c_12709,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_10357,c_12642]) ).
tcf(c_12710,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_10354,c_12642]) ).
tcf(c_12711,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_10358,c_12642]) ).
tcf(c_12712,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_10353,c_12642]) ).
tcf(c_12713,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_10405,c_12642]) ).
tcf(c_12714,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_12673,c_56]) ).
tcf(c_12726,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_12686,c_131,c_56]) ).
tcf(c_12732,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_12685,c_129,c_56]) ).
tcf(c_12738,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_12684,c_125,c_56]) ).
tcf(c_12744,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_12680,c_3083,c_56]) ).
tcf(c_12750,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_12679,c_3083,c_3082]) ).
tcf(c_12756,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_12678,c_115,c_56]) ).
tcf(c_12762,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_12677,c_113,c_56]) ).
tcf(c_12768,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_12676,c_3082,c_56]) ).
tcf(c_12774,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_12675,c_121,c_56]) ).
tcf(c_12780,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_12674,c_119,c_56]) ).
tcf(c_12786,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_12683,c_3082]) ).
tcf(c_12794,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_12682,c_3083]) ).
tcf(c_12827,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_12672,c_56]) ).
tcf(c_12835,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_12671,c_56]) ).
tcf(c_12843,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_12695,c_3082]) ).
tcf(c_12851,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_12689,c_123,c_56]) ).
tcf(c_12860,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_12688,c_3082,c_123]) ).
tcf(c_12869,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_12687,c_3082]) ).
tcf(c_12879,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_12681,c_3083]) ).
tcf(c_12898,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_12694,c_3082]) ).
tcf(c_12916,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_12713,c_3082]) ).
tcf(c_12924,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_12696,c_3082]) ).
tcf(c_12932,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_12699,c_3082]) ).
tcf(c_12941,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_12693,c_3082]) ).
tcf(c_12952,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_12691,c_3083]) ).
tcf(c_12963,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_12670,c_56]) ).
tcf(c_12974,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_12669,c_56]) ).
tcf(c_12995,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_12692,c_3082]) ).
tcf(c_13007,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_12690,c_3083]) ).
tcf(c_13019,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_12712,c_3082]) ).
tcf(c_13029,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_12701,c_3083]) ).
tcf(c_13040,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_12698,c_3082]) ).
tcf(c_13051,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_12700,c_3083]) ).
tcf(c_13063,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_12697,c_3082]) ).
tcf(c_13075,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_12711,c_3082]) ).
tcf(c_13087,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_12707,c_3083]) ).
tcf(c_13112,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_12710,c_3082]) ).
tcf(c_13125,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_12706,c_3083]) ).
tcf(c_13138,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_12704,c_3082]) ).
tcf(c_13150,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_12702,c_3083]) ).
tcf(c_13176,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_12709,c_3082]) ).
tcf(c_13189,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_12705,c_3083]) ).
tcf(c_13202,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_12708,c_3082]) ).
tcf(c_13215,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_12703,c_3082]) ).
tcf(c_13393,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_12750]) ).
tcf(c_13394,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_4269,c_12750]) ).
tcf(c_13395,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_12750]) ).
tcf(c_13396,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_10358,c_12750]) ).
tcf(c_13397,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_8307,c_12750]) ).
tcf(c_13398,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_6114,c_12750]) ).
tcf(c_13399,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_12750]) ).
tcf(c_13400,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_12750]) ).
tcf(c_13401,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_12750]) ).
tcf(c_13402,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_12750]) ).
tcf(c_13403,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_12750]) ).
tcf(c_13404,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_12750]) ).
tcf(c_13405,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_12750]) ).
tcf(c_13406,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_3190,c_12750]) ).
tcf(c_13407,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_2888,c_12750]) ).
tcf(c_13408,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_2887,c_12750]) ).
tcf(c_13409,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_2886,c_12750]) ).
tcf(c_13410,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_2896,c_12750]) ).
tcf(c_13411,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_2895,c_12750]) ).
tcf(c_13412,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_3312,c_12750]) ).
tcf(c_13413,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_3932,c_12750]) ).
tcf(c_13414,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_4269,c_12750]) ).
tcf(c_13415,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_4164,c_12750]) ).
tcf(c_13416,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_4164,c_12750]) ).
tcf(c_13417,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_3945,c_12750]) ).
tcf(c_13418,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_3937,c_12750]) ).
tcf(c_13419,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_3946,c_12750]) ).
tcf(c_13420,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_4269,c_12750]) ).
tcf(c_13421,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_5051,c_12750]) ).
tcf(c_13422,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_5046,c_12750]) ).
tcf(c_13423,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_6113,c_12750]) ).
tcf(c_13424,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_6114,c_12750]) ).
tcf(c_13425,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_6113,c_12750]) ).
tcf(c_13426,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_6114,c_12750]) ).
tcf(c_13427,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_6112,c_12750]) ).
tcf(c_13428,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_6145,c_12750]) ).
tcf(c_13429,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_8359,c_12750]) ).
tcf(c_13430,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_8306,c_12750]) ).
tcf(c_13431,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_8307,c_12750]) ).
tcf(c_13432,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_8305,c_12750]) ).
tcf(c_13433,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_8306,c_12750]) ).
tcf(c_13434,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_8307,c_12750]) ).
tcf(c_13435,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_8308,c_12750]) ).
tcf(c_13436,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_10356,c_12750]) ).
tcf(c_13437,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_8308,c_12750]) ).
tcf(c_13438,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_10357,c_12750]) ).
tcf(c_13439,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_10354,c_12750]) ).
tcf(c_13440,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_10358,c_12750]) ).
tcf(c_13441,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_10356,c_12750]) ).
tcf(c_13442,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_10357,c_12750]) ).
tcf(c_13443,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_10354,c_12750]) ).
tcf(c_13444,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_10358,c_12750]) ).
tcf(c_13445,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_10353,c_12750]) ).
tcf(c_13446,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_10405,c_12750]) ).
tcf(c_13447,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_13406,c_3163,c_3174]) ).
tcf(c_13452,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_13419,c_3174]) ).
tcf(c_13453,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_13452,c_131,c_56]) ).
tcf(c_13456,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_13418,c_3174]) ).
tcf(c_13457,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_13456,c_129,c_56]) ).
tcf(c_13460,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_13417,c_3174]) ).
tcf(c_13461,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_13460,c_125,c_56]) ).
tcf(c_13464,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_13413,c_3174]) ).
tcf(c_13465,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_13464,c_3083,c_56]) ).
tcf(c_13468,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_13412,c_3083,c_3082]) ).
tcf(c_13471,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_13411,c_3174]) ).
tcf(c_13472,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_13471,c_115,c_56]) ).
tcf(c_13475,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_13410,c_3174]) ).
tcf(c_13476,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_13475,c_113,c_56]) ).
tcf(c_13479,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_13409,c_3174]) ).
tcf(c_13480,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_13479,c_3082,c_56]) ).
tcf(c_13483,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_13408,c_3174]) ).
tcf(c_13484,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_13483,c_121,c_56]) ).
tcf(c_13487,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_13407,c_3174]) ).
tcf(c_13488,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_13487,c_119,c_56]) ).
tcf(c_13491,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_13416,c_3082]) ).
tcf(c_13496,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_13415,c_3083]) ).
tcf(c_13517,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_13405,c_3174]) ).
tcf(c_13518,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_13517,c_56]) ).
tcf(c_13523,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_13404,c_3174]) ).
tcf(c_13524,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_13523,c_56]) ).
tcf(c_13529,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_13428,c_3082]) ).
tcf(c_13534,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_13422,c_3163]) ).
tcf(c_13535,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_13534,c_123,c_56]) ).
tcf(c_13541,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_13421,c_3082,c_123]) ).
tcf(c_13547,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_13420,c_3082]) ).
tcf(c_13554,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_13414,c_3083]) ).
tcf(c_13567,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_13427,c_3082]) ).
tcf(c_13579,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_13446,c_3082]) ).
tcf(c_13584,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_13429,c_3082]) ).
tcf(c_13589,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_13432,c_3082]) ).
tcf(c_13595,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_13426,c_3082]) ).
tcf(c_13603,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_13424,c_3083]) ).
tcf(c_13611,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_13403,c_3174]) ).
tcf(c_13612,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_13611,c_56]) ).
tcf(c_13620,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_13402,c_3174]) ).
tcf(c_13621,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_13620,c_56]) ).
tcf(c_13636,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_13425,c_3082]) ).
tcf(c_13645,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_13423,c_3083]) ).
tcf(c_13654,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_13445,c_3082]) ).
tcf(c_13661,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_13434,c_3083]) ).
tcf(c_13669,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_13431,c_3082]) ).
tcf(c_13677,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_13433,c_3083]) ).
tcf(c_13686,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_13430,c_3082]) ).
tcf(c_13695,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_13444,c_3082]) ).
tcf(c_13704,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_13440,c_3083]) ).
tcf(c_13723,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_13443,c_3082]) ).
tcf(c_13733,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_13439,c_3083]) ).
tcf(c_13743,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_13437,c_3082]) ).
tcf(c_13752,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_13435,c_3083]) ).
tcf(c_13772,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_13442,c_3082]) ).
tcf(c_13782,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_13438,c_3083]) ).
tcf(c_13792,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_13441,c_3082]) ).
tcf(c_13802,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_13436,c_3082]) ).
tcf(c_13878,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,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_12750]) ).
tcf(c_13879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_12642]) ).
tcf(c_13880,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,sdtasdt0(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,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_9840]) ).
tcf(c_13881,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_9735]) ).
tcf(c_13882,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_7957]) ).
tcf(c_13883,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_7870]) ).
tcf(c_13884,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,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_5912]) ).
tcf(c_13885,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_5833]) ).
tcf(c_13888,plain,
! [X0: $i] :
( 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))),X0)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_80]) ).
tcf(c_13889,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| ( 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,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13468,c_79]) ).
tcf(c_13890,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,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13878,c_3082]) ).
tcf(c_13894,plain,
! [X0: $i] :
( 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))),X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13888,c_3082]) ).
tcf(c_13900,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,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13884,c_3082]) ).
tcf(c_13905,plain,
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_13))))
| ( 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,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13889,c_3082]) ).
tcf(c_13910,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13882,c_3082]) ).
tcf(c_13915,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13885,c_3082]) ).
tcf(c_13923,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13883,c_3082]) ).
tcf(c_13931,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,sdtasdt0(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,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13880,c_3082]) ).
tcf(c_13937,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,sdtpldt0(iPr_def_13,iPr_def_13))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13881,c_3082]) ).
tcf(c_13946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,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,sdtpldt0(iPr_def_14,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13879,c_3082]) ).
tcf(c_13965,plain,
( 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(iPr_def_13,smndt0(iPr_def_14)))))
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3169,c_13393]) ).
tcf(c_13966,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,sz0z00))))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3174,c_13393]) ).
tcf(c_13967,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_12750]) ).
tcf(c_13968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| 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(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_12642]) ).
tcf(c_13969,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_9840]) ).
tcf(c_13970,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_9735]) ).
tcf(c_13971,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,sdtpldt0(iPr_def_13,X0))))
| 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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_7957]) ).
tcf(c_13972,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_7870]) ).
tcf(c_13973,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_5912]) ).
tcf(c_13974,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_5833]) ).
tcf(c_13975,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,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(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_4312]) ).
tcf(c_13977,plain,
! [X0: $i,X1: $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))),X1)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_80]) ).
tcf(c_13978,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ( 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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13393,c_79]) ).
tcf(c_13981,plain,
( sdtlseqdt0(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,smndt0(iPr_def_14)))))
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_13965,c_3174]) ).
tcf(c_13985,plain,
! [X0: $i,X1: $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))),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13977,c_3082]) ).
tcf(c_13992,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13973,c_3082]) ).
tcf(c_13998,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,sdtpldt0(iPr_def_13,X0))))
| 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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13975,c_3082]) ).
tcf(c_14006,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))))
| ( 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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13978,c_3082]) ).
tcf(c_14012,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,sdtpldt0(iPr_def_13,X0))))
| 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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13971,c_3082]) ).
tcf(c_14018,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13967,c_3082]) ).
tcf(c_14024,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13974,c_3082]) ).
tcf(c_14033,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13972,c_3082]) ).
tcf(c_14042,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13969,c_3082]) ).
tcf(c_14049,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,sdtpldt0(iPr_def_13,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13970,c_3082]) ).
tcf(c_14059,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X2))))
| 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(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13968,c_3082]) ).
tcf(c_14100,plain,
! [X0: $i] :
( sdtlseqdt0(smndt0(iPr_def_13),X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sz0z00)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3158,c_13395]) ).
tcf(c_14101,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,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(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3163,c_13395]) ).
tcf(c_14102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,smndt0(iPr_def_14))
| 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(iPr_def_13,X0))))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3169,c_13395]) ).
tcf(c_14103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| 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(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3174,c_13395]) ).
tcf(c_14104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,X0))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,X0))),iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13395,c_12750]) ).
tcf(c_14105,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,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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_13395,c_12642]) ).
tcf(c_14107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(X3,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2))),iPr_def_13)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13395,c_9735]) ).
tcf(c_14108,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,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_13395,c_7957]) ).
tcf(c_14109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(X3,X0)),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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_13395,c_7870]) ).
tcf(c_14110,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,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_13395,c_5912]) ).
tcf(c_14111,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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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_13395,c_5833]) ).
tcf(c_14112,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,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13395,c_4312]) ).
tcf(c_14114,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| 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(iPr_def_14,X0))),iPr_def_13)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13395,c_80]) ).
tcf(c_14115,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)
| ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13395,c_79]) ).
tcf(c_14117,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,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) ),
inference(superposition,[status(thm)],[c_13395,c_4189]) ).
tcf(c_14119,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))))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_13395,c_4184]) ).
tcf(c_14120,plain,
( 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,xA))),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_13395,c_3947]) ).
tcf(c_14121,plain,
( sdtlseqdt0(xA,sz0z00)
| 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_13395,c_5102]) ).
tcf(c_14122,plain,
( 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,xE))),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_13395,c_3941]) ).
tcf(c_14123,plain,
( sdtlseqdt0(xE,sz0z00)
| 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_13395,c_4385]) ).
tcf(c_14125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),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(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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_12750]) ).
tcf(c_14126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_12642]) ).
tcf(c_14127,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,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_9840]) ).
tcf(c_14128,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,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_9735]) ).
tcf(c_14129,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,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,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_7957]) ).
tcf(c_14130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| 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,X3))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_7870]) ).
tcf(c_14131,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_5912]) ).
tcf(c_14132,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,sdtpldt0(iPr_def_14,X3))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_5833]) ).
tcf(c_14135,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_13,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))),X1) ),
inference(superposition,[status(thm)],[c_13395,c_80]) ).
tcf(c_14136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ( sdtpldt0(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,sdtpldt0(iPr_def_13,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))),iPr_def_14) ),
inference(superposition,[status(thm)],[c_13395,c_79]) ).
tcf(c_14137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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(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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_12750]) ).
tcf(c_14138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_12642]) ).
tcf(c_14139,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,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_9840]) ).
tcf(c_14140,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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_9735]) ).
tcf(c_14141,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,sdtpldt0(iPr_def_13,X1))))
| 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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_7957]) ).
tcf(c_14142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| 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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_7870]) ).
tcf(c_14143,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_5912]) ).
tcf(c_14144,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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_5833]) ).
tcf(c_14145,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,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(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_4312]) ).
tcf(c_14147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,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(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,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_80]) ).
tcf(c_14148,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))))
| ( 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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_13395,c_79]) ).
tcf(c_14151,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,sdtpldt0(iPr_def_13,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,sdtpldt0(iPr_def_13,iPr_def_14)))) ),
inference(equality_factoring,[status(thm)],[c_13395]) ).
tcf(c_14152,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,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_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))))))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))) ),
inference(equality_factoring,[status(thm)],[c_13395]) ).
tcf(c_14153,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| 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(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14103,c_56]) ).
tcf(c_14158,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,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) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14101,c_56]) ).
tcf(c_14163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,smndt0(iPr_def_14))
| sdtlseqdt0(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)
| ~ aScalar0(smndt0(iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_14102,c_3174]) ).
tcf(c_14169,plain,
! [X0: $i] :
( sdtlseqdt0(smndt0(iPr_def_13),X0)
| sdtlseqdt0(iPr_def_14,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(smndt0(iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_14100,c_3163]) ).
tcf(c_14175,plain,
( sdtlseqdt0(xE,sz0z00)
| 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_14123,c_3163]) ).
tcf(c_14176,plain,
( sdtlseqdt0(xE,sz0z00)
| 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_14175,c_123,c_56]) ).
tcf(c_14181,plain,
( sdtlseqdt0(xA,sz0z00)
| 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_14121,c_3163]) ).
tcf(c_14182,plain,
( sdtlseqdt0(xA,sz0z00)
| 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_14181,c_111,c_56]) ).
tcf(c_14187,plain,
( 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,xE))),iPr_def_13)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(light_normalisation,[status(thm)],[c_14122,c_3163]) ).
tcf(c_14188,plain,
( 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,xE))),iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14187,c_117,c_56]) ).
tcf(c_14193,plain,
( 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,xA))),iPr_def_13)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(light_normalisation,[status(thm)],[c_14120,c_3163]) ).
tcf(c_14194,plain,
( 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,xA))),iPr_def_13)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14193,c_109,c_56]) ).
tcf(c_14199,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))))
| ( X0 = iPr_def_14 )
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14119,c_3083]) ).
tcf(c_14211,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,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) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14117,c_3082]) ).
tcf(c_14231,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_14,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_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))))))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_13)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14152,c_3082]) ).
tcf(c_14235,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,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))))),iPr_def_13)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,iPr_def_14)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14151,c_3083]) ).
tcf(c_14268,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,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(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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14147,c_3082]) ).
tcf(c_14277,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14143,c_3082]) ).
tcf(c_14285,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_14,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_13,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14135,c_3083]) ).
tcf(c_14294,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14131,c_3083]) ).
tcf(c_14302,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,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14145,c_3082]) ).
tcf(c_14321,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))))
| ( 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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(iPr_def_13,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14148,c_3082]) ).
tcf(c_14329,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,sdtpldt0(iPr_def_13,X1))))
| 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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14141,c_3082]) ).
tcf(c_14337,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1))),iPr_def_13)
| ( sdtpldt0(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,sdtpldt0(iPr_def_13,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0))),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14136,c_3083]) ).
tcf(c_14345,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,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,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14129,c_3083]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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(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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14137,c_3082]) ).
tcf(c_14380,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,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,sdtpldt0(iPr_def_13,X0))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14127,c_3083,c_3932]) ).
tcf(c_14388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))),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(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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14125,c_3083]) ).
tcf(c_14396,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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14144,c_3082]) ).
tcf(c_14407,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,sdtpldt0(iPr_def_14,X3))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_13,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14132,c_3083]) ).
tcf(c_14418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| 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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14142,c_3082]) ).
tcf(c_14429,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,sdtpldt0(iPr_def_13,X1))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(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,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14139,c_3082]) ).
tcf(c_14438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| 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,X3))),iPr_def_13)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,sdtpldt0(sdtpldt0(iPr_def_13,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14130,c_3083]) ).
tcf(c_14449,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,sdtpldt0(iPr_def_13,X3))))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(iPr_def_14,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14140,c_3082]) ).
tcf(c_14461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_13,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,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,sdtpldt0(iPr_def_14,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14138,c_3082]) ).
tcf(c_14472,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,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14128,c_3083]) ).
tcf(c_14484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_14,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,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,sdtpldt0(iPr_def_13,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14126,c_3083]) ).
tcf(c_14659,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14484,c_14472,c_14461,c_14449,c_14438,c_14429,c_14418,c_14407,c_14396,c_14388,c_14380,c_14372,c_14345,c_14337,c_14329,c_14321,c_14302,c_14294,c_14285,c_14277,c_14268,c_14235,c_14231,c_14211,c_14199,c_14194,c_14193,c_14188,c_14187,c_14182,c_14181,c_14176,c_14175,c_14169,c_14163,c_14158,c_14153,c_14152,c_14151,c_14148,c_14147,c_14145,c_14144,c_14143,c_14142,c_14141,c_14140,c_14139,c_14138,c_14137,c_14136,c_14135,c_14132,c_14131,c_14130,c_14129,c_14128,c_14127,c_14126,c_14125,c_14123,c_14122,c_14121,c_14120,c_14119,c_14117,c_14115,c_14114,c_14112,c_14111,c_14110,c_14109,c_14108,c_14107,c_14105,c_14104,c_14103,c_14102,c_14101,c_14100,c_14059,c_14049,c_14042,c_14033,c_14024,c_14018,c_14012,c_14006,c_13998,c_13992,c_13985,c_13981,c_13978,c_13977,c_13975,c_13974,c_13973,c_13972,c_13971,c_13970,c_13969,c_13968,c_13967,c_13966,c_13965,c_13946,c_13937,c_13931,c_13923,c_13915,c_13910,c_13905,c_13900,c_13894,c_13890,c_13889,c_13888,c_13885,c_13884,c_13883,c_13882,c_13881,c_13880,c_13879,c_13878,c_13802,c_13792,c_13782,c_13772,c_13752,c_13743,c_13733,c_13723,c_13704,c_13695,c_13686,c_13677,c_13669,c_13661,c_13654,c_13645,c_13636,c_13621,c_13620,c_13612,c_13611,c_13603,c_13595,c_13589,c_13584,c_13579,c_13567,c_13554,c_13547,c_13541,c_13535,c_13534,c_13529,c_13524,c_13523,c_13518,c_13517,c_13496,c_13491,c_13488,c_13487,c_13484,c_13483,c_13480,c_13479,c_13476,c_13475,c_13472,c_13471,c_13468,c_13465,c_13464,c_13461,c_13460,c_13457,c_13456,c_13453,c_13452,c_13447,c_13446,c_13445,c_13444,c_13443,c_13442,c_13441,c_13440,c_13439,c_13438,c_13437,c_13436,c_13435,c_13434,c_13433,c_13432,c_13431,c_13430,c_13429,c_13428,c_13427,c_13426,c_13425,c_13424,c_13423,c_13422,c_13421,c_13420,c_13419,c_13418,c_13417,c_13416,c_13415,c_13414,c_13413,c_13412,c_13411,c_13410,c_13409,c_13408,c_13407,c_13406,c_13405,c_13404,c_13403,c_13402,c_13401,c_13400,c_13399,c_13398,c_13397,c_13396,c_13395,c_13394,c_13393,c_13215,c_13202,c_13189,c_13176,c_13150,c_13138,c_13125,c_13112,c_13087,c_13075,c_13063,c_13051,c_13040,c_13029,c_13019,c_13007,c_12995,c_12974,c_12963,c_12952,c_12941,c_12932,c_12924,c_12916,c_12898,c_12879,c_12869,c_12860,c_12851,c_12843,c_12835,c_12827,c_12794,c_12786,c_12780,c_12774,c_12768,c_12762,c_12756,c_12750,c_12744,c_12738,c_12732,c_12726,c_12714,c_12713,c_12712,c_12711,c_12710,c_12709,c_12708,c_12707,c_12706,c_12705,c_12704,c_12703,c_12702,c_12701,c_12700,c_12699,c_12698,c_12697,c_12696,c_12695,c_12694,c_12693,c_12692,c_12691,c_12690,c_12689,c_12688,c_12687,c_12686,c_12685,c_12684,c_12683,c_12682,c_12681,c_12680,c_12679,c_12678,c_12677,c_12676,c_12675,c_12674,c_12673,c_12672,c_12671,c_12670,c_12669,c_12668,c_12667,c_12666,c_12665,c_12664,c_12663,c_12662,c_12661,c_12660,c_12642,c_12582,c_12568,c_12555,c_12542,c_12531,c_12520,c_12507,c_12494,c_12484,c_12474,c_12462,c_12452,c_12440,c_12430,c_12420,c_12409,c_12399,c_12388,c_12387,c_12386,c_12385,c_12384,c_12383,c_12381,c_12380,c_12379,c_12378,c_12377,c_12376,c_12375,c_12374,c_12373,c_12371,c_12370,c_12369,c_12368,c_12367,c_12366,c_12365,c_12364,c_12363,c_12362,c_12255,c_12241,c_12228,c_12215,c_12204,c_12191,c_12178,c_12168,c_12158,c_12148,c_12138,c_12126,c_12116,c_12106,c_12095,c_12085,c_12074,c_12073,c_12072,c_12071,c_12070,c_12068,c_12067,c_12066,c_12065,c_12064,c_12063,c_12062,c_12061,c_12060,c_12057,c_12056,c_12055,c_12054,c_12053,c_12052,c_12051,c_12050,c_12029,c_12022,c_12021,c_12020,c_12011,c_12004,c_12003,c_12002,c_11993,c_11986,c_11985,c_11984,c_11975,c_11968,c_11967,c_11966,c_11936,c_11929,c_11928,c_11927,c_11918,c_11911,c_11910,c_11909,c_11900,c_11893,c_11892,c_11891,c_11886,c_11879,c_11872,c_11871,c_11870,c_11869,c_11868,c_11864,c_11863,c_11862,c_11861,c_11860,c_11857,c_11852,c_11851,c_11850,c_11845,c_11841,c_11839,c_11838,c_11837,c_11840,c_11835,c_11726,c_11712,c_11699,c_11686,c_11675,c_11662,c_11649,c_11639,c_11629,c_11619,c_11609,c_11597,c_11587,c_11577,c_11566,c_11556,c_11545,c_11544,c_11543,c_11542,c_11540,c_11539,c_11538,c_11537,c_11536,c_11535,c_11534,c_11533,c_11532,c_11529,c_11528,c_11527,c_11526,c_11525,c_11524,c_11523,c_11463,c_11450,c_11438,c_11426,c_11416,c_11404,c_11392,c_11372,c_11353,c_11344,c_11335,c_11324,c_11315,c_11296,c_11286,c_11277,c_11267,c_11245,c_11226,c_11220,c_11219,c_11218,c_11217,c_11216,c_11215,c_11214,c_11211,c_11210,c_11208,c_11207,c_11206,c_11205,c_11204,c_11203,c_11202,c_11201,c_11200,c_11197,c_11196,c_11195,c_11194,c_11193,c_11192,c_11190,c_11189,c_11188,c_11187,c_11183,c_11182,c_11180,c_11179,c_11177,c_11175,c_11174,c_11173,c_10962,c_10952,c_10944,c_10934,c_10927,c_10918,c_10911,c_10904,c_10896,c_10894,c_10893,c_10891,c_10890,c_10889,c_10888,c_10887,c_10886,c_10885,c_10884,c_10856,c_10848,c_10840,c_10835,c_10830,c_10825,c_10820,c_10814,c_10813,c_10812,c_10809,c_10808,c_10807,c_10806,c_10805,c_10804,c_10608,c_10586,c_10577,c_10557,c_10548,c_10540,c_10530,c_10523,c_10514,c_10505,c_10499,c_10498,c_10497,c_10489,c_10475,c_10469,c_10455,c_10447,c_10440,c_10439,c_10438,c_10437,c_10419,c_10413,c_10412,c_10411,c_10410,c_10409,c_10408,c_10405,c_10404,c_10403,c_10402,c_10401,c_10396,c_10395,c_10394,c_10393,c_10392,c_10391,c_10390,c_10389,c_10388,c_10387,c_10386,c_10385,c_10384,c_10383,c_10382,c_10381,c_10380,c_10379,c_10378,c_10377,c_10376,c_10375,c_10374,c_10373,c_10372,c_10371,c_10370,c_10369,c_10368,c_10367,c_10366,c_10364,c_10363,c_10362,c_10361,c_10360,c_10359,c_10357,c_10356,c_10358,c_10354,c_10353,c_10365,c_10197,c_10184,c_10157,c_10144,c_10132,c_10120,c_10107,c_10094,c_10082,c_10070,c_10058,c_10046,c_10036,c_10027,c_10007,c_9986,c_9975,c_9965,c_9955,c_9946,c_9937,c_9928,c_9891,c_9882,c_9875,c_9868,c_9861,c_9854,c_9847,c_9840,c_9833,c_9826,c_9819,c_9812,c_9798,c_9797,c_9796,c_9795,c_9794,c_9793,c_9792,c_9791,c_9790,c_9789,c_9788,c_9787,c_9786,c_9785,c_9784,c_9783,c_9782,c_9781,c_9780,c_9779,c_9778,c_9777,c_9776,c_9775,c_9774,c_9773,c_9772,c_9771,c_9770,c_9769,c_9768,c_9767,c_9766,c_9765,c_9764,c_9763,c_9762,c_9761,c_9760,c_9759,c_9758,c_9757,c_9756,c_9755,c_9735,c_9719,c_9712,c_9705,c_9704,c_9703,c_9691,c_9690,c_9689,c_9688,c_9687,c_9686,c_9685,c_9674,c_9667,c_9666,c_9665,c_9648,c_9641,c_9640,c_9639,c_9628,c_9621,c_9620,c_9619,c_9608,c_9601,c_9600,c_9599,c_9588,c_9581,c_9580,c_9579,c_9562,c_9555,c_9554,c_9553,c_9543,c_9542,c_9538,c_9537,c_9533,c_9532,c_9531,c_9504,c_9495,c_9488,c_9482,c_9481,c_9480,c_9477,c_9475,c_9404,c_9392,c_9380,c_9368,c_9359,c_9350,c_9341,c_9330,c_9321,c_9312,c_9302,c_9293,c_9283,c_9282,c_9281,c_9280,c_9279,c_9277,c_9276,c_9275,c_9274,c_9273,c_9272,c_9271,c_9268,c_9267,c_9266,c_9265,c_9264,c_9263,c_9232,c_9220,c_9208,c_9196,c_9187,c_9178,c_9169,c_9158,c_9149,c_9140,c_9130,c_9121,c_9111,c_9105,c_9104,c_9103,c_9101,c_9100,c_9099,c_9098,c_9097,c_9096,c_9095,c_9092,c_9091,c_9090,c_9089,c_9088,c_9032,c_9021,c_9010,c_8999,c_8982,c_8974,c_8966,c_8956,c_8948,c_8931,c_8922,c_8914,c_8905,c_8871,c_8865,c_8864,c_8854,c_8850,c_8844,c_8839,c_8838,c_8833,c_8832,c_8827,c_8826,c_8821,c_8816,c_8815,c_8814,c_8811,c_8810,c_8808,c_8807,c_8806,c_8805,c_8804,c_8803,c_8802,c_8799,c_8798,c_8797,c_8796,c_8795,c_8794,c_8793,c_8792,c_8791,c_8789,c_8787,c_8786,c_8784,c_8783,c_8782,c_8781,c_8780,c_8779,c_8778,c_8741,c_8732,c_8726,c_8718,c_8712,c_8706,c_8699,c_8696,c_8695,c_8693,c_8692,c_8691,c_8690,c_8689,c_8688,c_8665,c_8657,c_8652,c_8647,c_8641,c_8637,c_8636,c_8635,c_8632,c_8631,c_8630,c_8629,c_8500,c_8491,c_8483,c_8482,c_8474,c_8473,c_8465,c_8457,c_8451,c_8438,c_8431,c_8425,c_8420,c_8415,c_8414,c_8409,c_8408,c_8387,c_8382,c_8379,c_8378,c_8375,c_8374,c_8371,c_8370,c_8367,c_8366,c_8363,c_8362,c_8359,c_8356,c_8355,c_8352,c_8351,c_8348,c_8347,c_8344,c_8343,c_8338,c_8337,c_8336,c_8335,c_8334,c_8333,c_8332,c_8331,c_8330,c_8329,c_8328,c_8327,c_8326,c_8325,c_8324,c_8323,c_8322,c_8321,c_8320,c_8319,c_8318,c_8317,c_8316,c_8315,c_8314,c_8313,c_8312,c_8311,c_8310,c_8309,c_8308,c_8307,c_8306,c_8305,c_8161,c_8149,c_8138,c_8127,c_8116,c_8105,c_8096,c_8077,c_8067,c_8058,c_8050,c_8042,c_8034,c_8001,c_7993,c_7987,c_7981,c_7975,c_7969,c_7963,c_7957,c_7951,c_7945,c_7939,c_7933,c_7921,c_7920,c_7919,c_7918,c_7917,c_7916,c_7915,c_7914,c_7913,c_7912,c_7911,c_7910,c_7909,c_7908,c_7907,c_7906,c_7905,c_7904,c_7903,c_7902,c_7901,c_7900,c_7899,c_7898,c_7897,c_7896,c_7895,c_7894,c_7893,c_7892,c_7891,c_7890,c_7889,c_7888,c_7870,c_7858,c_7851,c_7850,c_7849,c_7824,c_7817,c_7816,c_7815,c_7804,c_7797,c_7796,c_7795,c_7784,c_7777,c_7776,c_7775,c_7767,c_7572,c_7571,c_7570,c_7569,c_7568,c_7567,c_7566,c_7565,c_7564,c_7563,c_7562,c_7561,c_7560,c_7559,c_7558,c_7557,c_7556,c_7555,c_7554,c_7326,c_7320,c_7313,c_7307,c_7301,c_7295,c_7289,c_7283,c_7277,c_7271,c_7265,c_7259,c_7253,c_7247,c_7241,c_7235,c_7229,c_7223,c_7216,c_7209,c_7203,c_7197,c_7190,c_7184,c_7178,c_7171,c_7165,c_7158,c_7152,c_7146,c_7140,c_7134,c_7128,c_7122,c_7115,c_7108,c_7101,c_7094,c_7087,c_7080,c_7073,c_7066,c_7059,c_7052,c_7045,c_7038,c_7031,c_7024,c_7017,c_7010,c_7003,c_6996,c_6989,c_6982,c_6975,c_6968,c_6961,c_6954,c_6947,c_6940,c_6933,c_6926,c_6919,c_6912,c_6905,c_6898,c_6891,c_6884,c_6877,c_6870,c_6863,c_6855,c_6848,c_6841,c_6834,c_6833,c_6832,c_6831,c_6830,c_6829,c_6828,c_6827,c_6826,c_6825,c_6824,c_6823,c_6822,c_6821,c_6820,c_6819,c_6818,c_6817,c_6816,c_6815,c_6814,c_6813,c_6812,c_6811,c_6810,c_6809,c_6808,c_6807,c_6806,c_6805,c_6804,c_6803,c_6802,c_6801,c_6800,c_6799,c_6798,c_6797,c_6796,c_6795,c_6794,c_6793,c_6792,c_6791,c_6790,c_6789,c_6788,c_6787,c_6786,c_6785,c_6784,c_6783,c_6782,c_6781,c_6780,c_6779,c_6778,c_6777,c_6776,c_6775,c_6774,c_6773,c_6772,c_6771,c_6770,c_6769,c_6768,c_6767,c_6766,c_6765,c_6764,c_6763,c_6762,c_6761,c_6760,c_6759,c_6758,c_6757,c_6756,c_6755,c_6754,c_6753,c_6752,c_6729,c_6728,c_6715,c_6710,c_6706,c_6704,c_6705,c_6702,c_6638,c_6626,c_6615,c_6606,c_6596,c_6587,c_6578,c_6568,c_6559,c_6558,c_6557,c_6555,c_6554,c_6553,c_6552,c_6551,c_6548,c_6547,c_6512,c_6501,c_6482,c_6474,c_6465,c_6457,c_6449,c_6440,c_6432,c_6404,c_6403,c_6391,c_6390,c_6389,c_6385,c_6381,c_6380,c_6379,c_6376,c_6375,c_6373,c_6372,c_6371,c_6370,c_6369,c_6366,c_6365,c_6364,c_6363,c_6362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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG052+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.57 % Computer : n005.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Thu Sep 24 07:58:33 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.61 Running first-order theorem proving
% 0.10/0.61 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.62
% 0.10/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.62
% 0.10/0.62 % Detected problem language: tptp
% 0.14/0.63 % Proving...
% 6.25/2.47 % SZS status Started for theBenchmark.p
% 6.25/2.47 % SZS status Theorem for theBenchmark.p
% 6.25/2.47
% 6.25/2.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.25/2.47
% 6.25/2.47 % ------ iProver source info
% 6.25/2.47
% 6.25/2.47 % git: date: 2026-07-19 20:42:38 +0200
% 6.25/2.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.25/2.47 % git: non_committed_changes: false
% 6.25/2.47
% 6.25/2.47 % ------ Parsing...
% 6.25/2.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.25/2.47
% 6.25/2.47 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 6.25/2.47
% 6.25/2.47 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.25/2.47
% 6.25/2.47 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 6.25/2.47 % ------ Proving...
% 6.25/2.47 % ------ Problem Properties
% 6.25/2.47
% 6.25/2.47 %
% 6.25/2.47 % clauses 89
% 6.25/2.47 % conjectures 1
% 6.25/2.47 % EPR 26
% 6.25/2.47 % Horn 77
% 6.25/2.47 % unary 38
% 6.25/2.47 % binary 17
% 6.25/2.47 % lits 221
% 6.25/2.47 % lits eq 69
% 6.25/2.47 % fd_pure 0
% 6.25/2.47 % fd_pseudo 0
% 6.25/2.47 % fd_cond 1
% 6.25/2.47 % fd_pseudo_cond 5
% 6.25/2.47 % AC symbols 0
% 6.25/2.47
% 6.25/2.47 % ------ Schedule dynamic 5 is on
% 6.25/2.47
% 6.25/2.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.25/2.47
% 6.25/2.47
% 6.25/2.47 % ------
% 6.25/2.47 % Current options:
% 6.25/2.47 % ------
% 6.25/2.47
% 6.25/2.47
% 6.25/2.47 %
% 6.25/2.47
% 6.25/2.47 % ------ Proving...
% 6.25/2.47 %
% 6.25/2.47
% 6.25/2.47 % SZS status Theorem for theBenchmark.p
% 6.25/2.47
% 6.25/2.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.59/2.55
% 10.59/2.55
%------------------------------------------------------------------------------