%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM512+3 : 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 : n004.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 02:25:34 PM UTC 2026
% Result : Theorem 87.00s 21.57s
% Output : CNFRefutation 153.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
| ? [X3] :
( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) )
& ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X3 = X2
| X3 = sz10 ) )
& X2 != sz10
& X2 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X2,X1)
& ? [X3] :
( X1 = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) )
| ( doDivides0(X2,X0)
& ? [X3] :
( X0 = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
~ ( sdtlseqdt0(xp,xn)
| ? [X0] :
( sdtpldt0(xp,X0) = xn
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
~ ( sdtlseqdt0(xp,xm)
| ? [X0] :
( sdtpldt0(xp,X0) = xm
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( sdtpldt0(xm,X0) = xp
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( sdtpldt0(xn,X0) = xp
& aNaturalNumber0(X0) )
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( xr = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xr
| X0 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X0] :
( sdtpldt0(xr,X0) = xk
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& ? [X0] :
( sdtpldt0(xk,X0) = xp
& aNaturalNumber0(X0) )
& xk != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(f51,axiom,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(f52,axiom,
( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( sdtpldt0(sdtsldt0(xn,xr),X0) = xn
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtsldt0(xn,xr) = xn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(f54,conjecture,
( ( ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) )
=> sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) )
& ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) )
=> sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) )
& ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
| ? [X5] :
( sdtasdt0(X0,X1) = sdtasdt0(X2,X5)
& aNaturalNumber0(X5) ) )
& ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X3 = X2
| X3 = sz10 ) )
& X2 != sz10
& X2 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f57,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
inference(rectify,[],[f41]) ).
fof(f58,plain,
( sdtlseqdt0(xm,xp)
& ? [X1] :
( xp = sdtpldt0(xm,X1)
& aNaturalNumber0(X1) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( sdtpldt0(xn,X0) = xp
& aNaturalNumber0(X0) )
& xn != xp ),
inference(rectify,[],[f44]) ).
fof(f59,plain,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( sdtasdt0(X1,X2) = xr
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xr = X1
| sz10 = X1 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f60,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& ? [X0] :
( sdtpldt0(xr,X0) = xk
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f61,plain,
( ( doDivides0(xr,xm)
& ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) )
| ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
inference(rectify,[],[f51]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(ennf_transformation,[],[f57]) ).
fof(f67,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
( ~ sdtlseqdt0(xp,xn)
& ! [X0] :
( xn != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f69,plain,
( ~ sdtlseqdt0(xp,xm)
& ! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f71,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f59]) ).
fof(f72,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( sdtpldt0(sdtsldt0(xn,xr),X0) = xn
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr) ),
inference(ennf_transformation,[],[f53]) ).
fof(f74,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& ? [X0] :
( sdtpldt0(sdtsldt0(xn,xr),X0) = xn
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) )
| ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f76,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) )
| ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f88,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f90,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f91,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f92,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ! [X2] :
( ~ aNaturalNumber0(X2)
| ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ! [X2] :
( ~ aNaturalNumber0(X2)
| ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f125,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f137]) ).
fof(f146,plain,
! [X1,X2] :
( ~ sP1(X1,X2)
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f147,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& sdtasdt0(X1,sK4(X0,X1)) = X0
& aNaturalNumber0(sK4(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f147]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X4] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) ) ) ),
inference(rectify,[],[f141]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X4] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& sdtasdt0(X2,sK7(X0,X2)) = X0
& aNaturalNumber0(sK7(X0,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X2))],[f152]) ).
fof(f154,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK8)
& aNaturalNumber0(sK8)
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8)],[f67]) ).
fof(f155,plain,
( sdtlseqdt0(xm,xp)
& xp = sdtpldt0(xm,sK10)
& aNaturalNumber0(sK10)
& xm != xp
& sdtlseqdt0(xn,xp)
& xp = sdtpldt0(xn,sK9)
& aNaturalNumber0(sK9)
& xn != xp ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f58]) ).
fof(f156,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK11)
& aNaturalNumber0(sK11)
& aNaturalNumber0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f72]) ).
fof(f157,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13)
& xk = sdtpldt0(xr,sK12)
& aNaturalNumber0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f60]) ).
fof(f158,plain,
( sdtlseqdt0(xk,xp)
& xp = sdtpldt0(xk,sK14)
& aNaturalNumber0(sK14)
& xk != xp ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f50]) ).
fof(f162,plain,
( sP2
| ( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK16)
& aNaturalNumber0(sK16) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f143]) ).
fof(f163,plain,
( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK17)
& aNaturalNumber0(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f52]) ).
fof(f164,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn = sdtpldt0(sdtsldt0(xn,xr),sK18)
& aNaturalNumber0(sK18)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn != sdtsldt0(xn,xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f74]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK19(X0,X1)) = X1
& aNaturalNumber0(sK19(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X3,sK19(X0,X1))],[f167]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK20(X0,X1)) = X1
& aNaturalNumber0(sK20(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X3,sK20(X0,X1))],[f170]) ).
fof(f172,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( isPrime0(sK21(X0))
& doDivides0(sK21(X0),X0)
& aNaturalNumber0(sK21(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X1,sK21(X0))],[f125]) ).
fof(f173,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f174,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK22(X0),X0)
& aNaturalNumber0(sK22(X0))
& sK22(X0) != X0
& sz10 != sK22(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f138]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f180,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f181,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f183,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sdtasdt0(X1,sK4(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f184,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| aNaturalNumber0(sK4(X0,X1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f193,plain,
! [X2,X0,X1,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4)
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| sdtasdt0(X2,sK7(X0,X2)) = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f195,plain,
! [X2,X0,X1,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4)
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| sdtasdt0(X2,sK7(X0,X2)) = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f197,plain,
! [X2,X0,X1,X4] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4)
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f198,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f154]) ).
fof(f199,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK8),
inference(cnf_transformation,[],[f154]) ).
fof(f200,plain,
aNaturalNumber0(sK8),
inference(cnf_transformation,[],[f154]) ).
fof(f201,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f154]) ).
fof(f202,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f203,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f204,plain,
sz10 != xp,
inference(cnf_transformation,[],[f154]) ).
fof(f205,plain,
sz00 != xp,
inference(cnf_transformation,[],[f154]) ).
fof(f206,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f68]) ).
fof(f207,plain,
! [X0] :
( xn != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f208,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f69]) ).
fof(f209,plain,
! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f210,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f155]) ).
fof(f211,plain,
xp = sdtpldt0(xm,sK10),
inference(cnf_transformation,[],[f155]) ).
fof(f212,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f155]) ).
fof(f213,plain,
xm != xp,
inference(cnf_transformation,[],[f155]) ).
fof(f214,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f155]) ).
fof(f215,plain,
xp = sdtpldt0(xn,sK9),
inference(cnf_transformation,[],[f155]) ).
fof(f216,plain,
aNaturalNumber0(sK9),
inference(cnf_transformation,[],[f155]) ).
fof(f217,plain,
xn != xp,
inference(cnf_transformation,[],[f155]) ).
fof(f218,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f219,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f220,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f223,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f224,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f225,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f156]) ).
fof(f226,plain,
! [X1] :
( ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f227,plain,
! [X2,X1] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f228,plain,
sz10 != xr,
inference(cnf_transformation,[],[f156]) ).
fof(f229,plain,
sz00 != xr,
inference(cnf_transformation,[],[f156]) ).
fof(f230,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f156]) ).
fof(f231,plain,
xk = sdtasdt0(xr,sK11),
inference(cnf_transformation,[],[f156]) ).
fof(f232,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f156]) ).
fof(f233,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f156]) ).
fof(f234,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f157]) ).
fof(f235,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK13),
inference(cnf_transformation,[],[f157]) ).
fof(f236,plain,
aNaturalNumber0(sK13),
inference(cnf_transformation,[],[f157]) ).
fof(f237,plain,
xk = sdtpldt0(xr,sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f238,plain,
aNaturalNumber0(sK12),
inference(cnf_transformation,[],[f157]) ).
fof(f239,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f158]) ).
fof(f240,plain,
xp = sdtpldt0(xk,sK14),
inference(cnf_transformation,[],[f158]) ).
fof(f241,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f158]) ).
fof(f242,plain,
xp != xk,
inference(cnf_transformation,[],[f158]) ).
fof(f247,plain,
( sP2
| xn = sdtasdt0(xr,sK16) ),
inference(cnf_transformation,[],[f162]) ).
fof(f248,plain,
( sP2
| aNaturalNumber0(sK16) ),
inference(cnf_transformation,[],[f162]) ).
fof(f249,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f163]) ).
fof(f250,plain,
xn = sdtasdt0(xr,sK17),
inference(cnf_transformation,[],[f163]) ).
fof(f251,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f163]) ).
fof(f252,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f164]) ).
fof(f253,plain,
xn = sdtpldt0(sdtsldt0(xn,xr),sK18),
inference(cnf_transformation,[],[f164]) ).
fof(f254,plain,
aNaturalNumber0(sK18),
inference(cnf_transformation,[],[f164]) ).
fof(f255,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f164]) ).
fof(f256,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f164]) ).
fof(f259,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f164]) ).
fof(f265,plain,
( sP3
| sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ),
inference(cnf_transformation,[],[f145]) ).
fof(f266,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f267,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f272,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f274,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f86]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f277,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f278,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f89]) ).
fof(f279,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f280,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f281,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f282,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f92]) ).
fof(f284,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f285,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f286,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f287,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f294,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK19(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f168]) ).
fof(f295,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK19(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f302,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f303,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f304,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f305,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK20(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f306,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK20(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f309,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f310,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f312,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(sK21(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f313,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| doDivides0(sK21(X0),X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f314,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK21(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f315,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f176]) ).
fof(f316,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f176]) ).
fof(f317,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f176]) ).
fof(f318,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK22(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f319,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK22(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f320,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK22(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f321,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK22(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f322,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f325,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f133]) ).
fof(f326,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f178]) ).
fof(f332,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f296]) ).
fof(f333,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f307]) ).
fof(f334,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f317]) ).
fof(f335,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f316]) ).
fof(f337,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f330]) ).
fof(f338,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f329]) ).
fof(f339,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f328]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f181]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f180]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f179]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK4(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,sK4(X0,X1)) = X0 )
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK7(X0,X2)) = X0 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK7(X0,X2)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| doDivides0(X2,X0)
| sP1(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| doDivides0(X2,X0)
| sP1(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_68,plain,
xp != sz00,
inference(cnf_transformation,[],[f205]) ).
tcf(c_69,plain,
xp != sz10,
inference(cnf_transformation,[],[f204]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != xp ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_71,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_72,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f201]) ).
tcf(c_73,plain,
aNaturalNumber0(sK8),
inference(cnf_transformation,[],[f200]) ).
tcf(c_74,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK8),
inference(cnf_transformation,[],[f199]) ).
tcf(c_75,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f198]) ).
tcf(c_76,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_77,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f206]) ).
tcf(c_78,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xm ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_79,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f208]) ).
tcf(c_80,plain,
xn != xp,
inference(cnf_transformation,[],[f217]) ).
tcf(c_81,plain,
aNaturalNumber0(sK9),
inference(cnf_transformation,[],[f216]) ).
tcf(c_82,plain,
sdtpldt0(xn,sK9) = xp,
inference(cnf_transformation,[],[f215]) ).
tcf(c_83,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f214]) ).
tcf(c_84,plain,
xm != xp,
inference(cnf_transformation,[],[f213]) ).
tcf(c_85,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f212]) ).
tcf(c_86,plain,
sdtpldt0(xm,sK10) = xp,
inference(cnf_transformation,[],[f211]) ).
tcf(c_87,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f210]) ).
tcf(c_88,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f220]) ).
tcf(c_89,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f219]) ).
tcf(c_90,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
inference(cnf_transformation,[],[f218]) ).
tcf(c_93,plain,
sz00 != xk,
inference(cnf_transformation,[],[f224]) ).
tcf(c_94,plain,
sz10 != xk,
inference(cnf_transformation,[],[f223]) ).
tcf(c_95,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f233]) ).
tcf(c_96,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f232]) ).
tcf(c_97,plain,
sdtasdt0(xr,sK11) = xk,
inference(cnf_transformation,[],[f231]) ).
tcf(c_98,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f230]) ).
tcf(c_99,plain,
sz00 != xr,
inference(cnf_transformation,[],[f229]) ).
tcf(c_100,plain,
sz10 != xr,
inference(cnf_transformation,[],[f228]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( X0 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != xr ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_102,plain,
! [X0: $i] :
( ( X0 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_103,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f225]) ).
tcf(c_104,plain,
aNaturalNumber0(sK12),
inference(cnf_transformation,[],[f238]) ).
tcf(c_105,plain,
sdtpldt0(xr,sK12) = xk,
inference(cnf_transformation,[],[f237]) ).
tcf(c_106,plain,
aNaturalNumber0(sK13),
inference(cnf_transformation,[],[f236]) ).
tcf(c_107,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK13),
inference(cnf_transformation,[],[f235]) ).
tcf(c_108,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f234]) ).
tcf(c_109,plain,
xp != xk,
inference(cnf_transformation,[],[f242]) ).
tcf(c_110,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f241]) ).
tcf(c_111,plain,
sdtpldt0(xk,sK14) = xp,
inference(cnf_transformation,[],[f240]) ).
tcf(c_112,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f239]) ).
tcf(c_116,plain,
( sP2
| aNaturalNumber0(sK16) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_117,plain,
( sP2
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_119,plain,
aNaturalNumber0(sK17),
inference(cnf_transformation,[],[f251]) ).
tcf(c_120,plain,
sdtasdt0(xr,sK17) = xn,
inference(cnf_transformation,[],[f250]) ).
tcf(c_121,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f249]) ).
tcf(c_122,plain,
sdtsldt0(xn,xr) != xn,
inference(cnf_transformation,[],[f259]) ).
tcf(c_125,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f256]) ).
tcf(c_126,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(cnf_transformation,[],[f255]) ).
tcf(c_127,plain,
aNaturalNumber0(sK18),
inference(cnf_transformation,[],[f254]) ).
tcf(c_128,plain,
sdtpldt0(sdtsldt0(xn,xr),sK18) = xn,
inference(cnf_transformation,[],[f253]) ).
tcf(c_129,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f252]) ).
tcf(c_133,negated_conjecture,
( sP3
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X1) ) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_147,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_148,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_149,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_150,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_151,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f281]) ).
tcf(c_152,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_153,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_154,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_155,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f287]) ).
tcf(c_156,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f286]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK19(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK19(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK20(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK20(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_181,plain,
! [X0: $i] :
( aNaturalNumber0(sK21(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_182,plain,
! [X0: $i] :
( doDivides0(sK21(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_183,plain,
! [X0: $i] :
( isPrime0(sK21(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_184,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK22(X0) != sz10 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_185,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK22(X0) != X0 ) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_186,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK22(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_187,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK22(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_188,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_189,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_206,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_232,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_266,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_189,c_155,c_189]) ).
tcf(c_268,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_188,c_151,c_188]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174,c_179,c_174]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_172,c_163]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_197,c_179,c_197,c_272]) ).
tcf(c_9324,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_9326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_11120,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_282]) ).
tcf(c_11423,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_149]) ).
tcf(c_11428,plain,
sdtpldt0(xk,sz00) = xk,
inference(superposition,[status(thm)],[c_88,c_149]) ).
tcf(c_11429,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_95,c_149]) ).
tcf(c_11455,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_150]) ).
tcf(c_11523,plain,
( aNaturalNumber0(sK21(xp))
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_11550,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_154]) ).
tcf(c_11558,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_95,c_154]) ).
tcf(c_11582,plain,
( ( sz10 = xr )
| ( sz10 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ( sdtasdt0(sz10,xr) != xr ) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_11667,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( xk != X0 )
| ( sz00 != X0 ) ),
inference(instantiation,[status(thm)],[c_9326]) ).
tcf(c_11668,plain,
( ( sz00 = xk )
| ( xk != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_11667]) ).
tcf(c_11669,plain,
! [X0: $i] :
( ( sz10 = xk )
| ( xk != X0 )
| ( sz10 != X0 ) ),
inference(instantiation,[status(thm)],[c_9326]) ).
tcf(c_11671,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( xr != X0 )
| ( sz00 != X0 ) ),
inference(instantiation,[status(thm)],[c_9326]) ).
tcf(c_11672,plain,
( ( sz00 = xr )
| ( xr != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_11671]) ).
tcf(c_11673,plain,
! [X0: $i] :
( ( sz10 = xr )
| ( xr != X0 )
| ( sz10 != X0 ) ),
inference(instantiation,[status(thm)],[c_9326]) ).
tcf(c_11678,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( xn != X0 )
| ( sdtsldt0(xn,xr) != X0 ) ),
inference(instantiation,[status(thm)],[c_9326]) ).
tcf(c_11679,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( xn != sz00 )
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(instantiation,[status(thm)],[c_11678]) ).
tcf(c_11697,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_107,c_179]) ).
tcf(c_11739,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_11697,c_106,c_95]) ).
tcf(c_12334,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ~ doDivides0(xr,xn)
| ( X1 != xn )
| ( X0 != xr ) ),
inference(instantiation,[status(thm)],[c_9329]) ).
tcf(c_12700,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_89,c_137]) ).
tcf(c_12742,plain,
sdtlseqdt0(xp,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_12700,c_93,c_88,c_51]) ).
tcf(c_12772,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11455,c_275]) ).
tcf(c_12774,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_12772,c_151,c_49]) ).
tcf(c_12781,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_12942,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_136]) ).
tcf(c_12944,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_121,c_136]) ).
tcf(c_12963,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12944,c_95,c_49]) ).
tcf(c_12975,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12942,c_95,c_11739]) ).
tcf(c_13004,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_128,c_143]) ).
tcf(c_13032,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13004,c_127,c_125]) ).
tcf(c_13049,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_128,c_144]) ).
tcf(c_13077,plain,
( ( sz00 = sK18 )
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13049,c_127,c_125]) ).
tcf(c_13121,plain,
( iLess0(sz00,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_12774,c_173]) ).
tcf(c_13146,plain,
( iLess0(sz00,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13121,c_151,c_49]) ).
tcf(c_13646,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_12774,c_194]) ).
tcf(c_13683,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13646,c_151,c_49]) ).
tcf(c_14607,plain,
( ( sz00 = xk )
| ( xp = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_89,c_142]) ).
tcf(c_14662,plain,
sdtasdt0(xn,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14607,c_93,c_68,c_88,c_51]) ).
tcf(c_15382,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11550,c_137]) ).
tcf(c_15384,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15382,c_155,c_49]) ).
tcf(c_15468,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_11423,c_157]) ).
tcf(c_15474,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_11428,c_157]) ).
tcf(c_15475,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_11429,c_157]) ).
tcf(c_15526,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15475,c_95,c_151]) ).
tcf(c_15530,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15474,c_88,c_151]) ).
tcf(c_15554,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15468,c_151,c_51]) ).
tcf(c_16318,plain,
xn = xn,
inference(instantiation,[status(thm)],[c_9324]) ).
tcf(c_16344,plain,
( isPrime0(xk)
| aNaturalNumber0(sK22(xk))
| ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_16351,plain,
( aNaturalNumber0(sK21(xk))
| ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_16514,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_199]) ).
tcf(c_16642,plain,
sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_16514,c_99,c_95,c_11739]) ).
tcf(c_16716,plain,
( ( sz10 = xk )
| ( xk != sz10 )
| ( sz10 != sz10 ) ),
inference(instantiation,[status(thm)],[c_11669]) ).
tcf(c_17147,plain,
( aNaturalNumber0(sK21(xr))
| ( xr = sz10 )
| ( xr = sz00 )
| ~ aNaturalNumber0(xr) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_17716,plain,
( ( sz10 = xr )
| ( xr != sz10 )
| ( sz10 != sz10 ) ),
inference(instantiation,[status(thm)],[c_11673]) ).
tcf(c_21038,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_48353,plain,
xn != sz00,
inference(global_subsumption_just,[status(thm)],[c_13077,c_122,c_11679,c_13032]) ).
tcf(c_52329,plain,
( doDivides0(sK21(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_182,c_15526]) ).
tcf(c_52333,plain,
( doDivides0(sK21(xr),sz00)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52329,c_100,c_99,c_95]) ).
tcf(c_52543,plain,
( doDivides0(sK21(xk),sz00)
| ( sz10 = xk )
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(superposition,[status(thm)],[c_182,c_15530]) ).
tcf(c_52544,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00)
| ( sz10 = xk )
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(superposition,[status(thm)],[c_187,c_15530]) ).
tcf(c_52547,plain,
( doDivides0(sK21(xk),sz00)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52543,c_94,c_93,c_88]) ).
tcf(c_52554,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52544,c_94,c_93,c_88]) ).
tcf(c_52745,plain,
( doDivides0(sK21(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_182,c_15554]) ).
tcf(c_52749,plain,
( doDivides0(sK21(xp),sz00)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52745,c_69,c_68,c_51]) ).
tcf(c_53986,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_52554,c_155,c_151,c_95,c_88,c_100,c_94,c_93,c_206,c_232,c_11558,c_11582,c_11668,c_16344,c_16716,c_52554]) ).
tcf(c_56546,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(instantiation,[status(thm)],[c_12781]) ).
tcf(c_121405,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),xn) ),
inference(instantiation,[status(thm)],[c_21038]) ).
tcf(c_121668,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xp,xr) ),
inference(instantiation,[status(thm)],[c_12781]) ).
tcf(c_126189,plain,
( doDivides0(sdtasdt0(xn,xm),xn)
| ~ doDivides0(xr,xn)
| ( xn != xn )
| ( sdtasdt0(xn,xm) != xr ) ),
inference(instantiation,[status(thm)],[c_12334]) ).
tcf(c_190743,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_282]) ).
tcf(c_190744,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_282]) ).
tcf(c_190745,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_282]) ).
tcf(c_190746,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtsldt0(sdtasdt0(sK8,X0),sK8) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_282]) ).
tcf(c_190747,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtsldt0(sdtasdt0(sK9,X0),sK9) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_282]) ).
tcf(c_190748,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtsldt0(sdtasdt0(sK10,X0),sK10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_282]) ).
tcf(c_190767,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sdtsldt0(sdtasdt0(xk,X0),xk) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_282]) ).
tcf(c_190771,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_282]) ).
tcf(c_190775,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtsldt0(sdtasdt0(sK11,X0),sK11) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_282]) ).
tcf(c_190779,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtsldt0(sdtasdt0(sK12,X0),sK12) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_282]) ).
tcf(c_190783,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtsldt0(sdtasdt0(sK13,X0),sK13) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_282]) ).
tcf(c_190787,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtsldt0(sdtasdt0(sK14,X0),sK14) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_282]) ).
tcf(c_190791,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtsldt0(sdtasdt0(sK17,X0),sK17) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_282]) ).
tcf(c_190795,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtsldt0(sdtasdt0(sK18,X0),sK18) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_282]) ).
tcf(c_190800,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sdtasdt0(sz10,X0),sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_282]) ).
tcf(c_190808,plain,
! [X0: $i] :
( sP2
| ( sz00 = sK16 )
| ( sdtsldt0(sdtasdt0(sK16,X0),sK16) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_282]) ).
tcf(c_190831,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_282]) ).
tcf(c_190835,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_190743,c_11120,c_48353]) ).
tcf(c_190836,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_190835]) ).
tcf(c_190841,plain,
sdtsldt0(sdtasdt0(xn,xn),xn) = xn,
inference(superposition,[status(thm)],[c_49,c_190836]) ).
tcf(c_190842,plain,
sdtsldt0(sdtasdt0(xn,xm),xn) = xm,
inference(superposition,[status(thm)],[c_50,c_190836]) ).
tcf(c_190843,plain,
sdtsldt0(sdtasdt0(xn,xp),xn) = xp,
inference(superposition,[status(thm)],[c_51,c_190836]) ).
tcf(c_190844,plain,
sdtsldt0(sdtasdt0(xn,sK8),xn) = sK8,
inference(superposition,[status(thm)],[c_73,c_190836]) ).
tcf(c_190845,plain,
sdtsldt0(sdtasdt0(xn,sK9),xn) = sK9,
inference(superposition,[status(thm)],[c_81,c_190836]) ).
tcf(c_190846,plain,
sdtsldt0(sdtasdt0(xn,sK10),xn) = sK10,
inference(superposition,[status(thm)],[c_85,c_190836]) ).
tcf(c_190847,plain,
sdtsldt0(sdtasdt0(xn,xk),xn) = xk,
inference(superposition,[status(thm)],[c_88,c_190836]) ).
tcf(c_190848,plain,
sdtsldt0(sdtasdt0(xn,xr),xn) = xr,
inference(superposition,[status(thm)],[c_95,c_190836]) ).
tcf(c_190849,plain,
sdtsldt0(sdtasdt0(xn,sK11),xn) = sK11,
inference(superposition,[status(thm)],[c_96,c_190836]) ).
tcf(c_190850,plain,
sdtsldt0(sdtasdt0(xn,sK12),xn) = sK12,
inference(superposition,[status(thm)],[c_104,c_190836]) ).
tcf(c_190851,plain,
sdtsldt0(sdtasdt0(xn,sK13),xn) = sK13,
inference(superposition,[status(thm)],[c_106,c_190836]) ).
tcf(c_190852,plain,
sdtsldt0(sdtasdt0(xn,sK14),xn) = sK14,
inference(superposition,[status(thm)],[c_110,c_190836]) ).
tcf(c_190854,plain,
( sP2
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_116,c_190836]) ).
tcf(c_190855,plain,
sdtsldt0(sdtasdt0(xn,sK17),xn) = sK17,
inference(superposition,[status(thm)],[c_119,c_190836]) ).
tcf(c_190856,plain,
sdtsldt0(sdtasdt0(xn,sdtsldt0(xn,xr)),xn) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_125,c_190836]) ).
tcf(c_190857,plain,
sdtsldt0(sdtasdt0(xn,sK18),xn) = sK18,
inference(superposition,[status(thm)],[c_127,c_190836]) ).
tcf(c_190858,plain,
sdtsldt0(sdtasdt0(xn,sz00),xn) = sz00,
inference(superposition,[status(thm)],[c_151,c_190836]) ).
tcf(c_190859,plain,
sdtsldt0(sdtasdt0(xn,sz10),xn) = sz10,
inference(superposition,[status(thm)],[c_155,c_190836]) ).
tcf(c_190891,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xn,sK4(X0,X1)),xn) = sK4(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_190836]) ).
tcf(c_190892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK4(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK4(X0,X1),X2),sK4(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_282]) ).
tcf(c_190910,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_147]) ).
tcf(c_190911,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_147]) ).
tcf(c_190912,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_147]) ).
tcf(c_190913,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK4(X0,X1),sz00) = sz00 )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_147]) ).
tcf(c_190914,plain,
sdtasdt0(sK8,sz00) = sz00,
inference(superposition,[status(thm)],[c_73,c_147]) ).
tcf(c_190915,plain,
sdtasdt0(sK9,sz00) = sz00,
inference(superposition,[status(thm)],[c_81,c_147]) ).
tcf(c_190916,plain,
sdtasdt0(sK10,sz00) = sz00,
inference(superposition,[status(thm)],[c_85,c_147]) ).
tcf(c_190917,plain,
sdtasdt0(xk,sz00) = sz00,
inference(superposition,[status(thm)],[c_88,c_147]) ).
tcf(c_190918,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_95,c_147]) ).
tcf(c_190919,plain,
sdtasdt0(sK11,sz00) = sz00,
inference(superposition,[status(thm)],[c_96,c_147]) ).
tcf(c_190920,plain,
sdtasdt0(sK12,sz00) = sz00,
inference(superposition,[status(thm)],[c_104,c_147]) ).
tcf(c_190921,plain,
sdtasdt0(sK13,sz00) = sz00,
inference(superposition,[status(thm)],[c_106,c_147]) ).
tcf(c_190922,plain,
sdtasdt0(sK14,sz00) = sz00,
inference(superposition,[status(thm)],[c_110,c_147]) ).
tcf(c_190924,plain,
( sP2
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_116,c_147]) ).
tcf(c_190925,plain,
sdtasdt0(sK17,sz00) = sz00,
inference(superposition,[status(thm)],[c_119,c_147]) ).
tcf(c_190926,plain,
sdtasdt0(sdtsldt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_125,c_147]) ).
tcf(c_190927,plain,
sdtasdt0(sK18,sz00) = sz00,
inference(superposition,[status(thm)],[c_127,c_147]) ).
tcf(c_190928,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_151,c_147]) ).
tcf(c_190929,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_155,c_147]) ).
tcf(c_190943,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_49,c_148]) ).
tcf(c_190944,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_148]) ).
tcf(c_190945,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_148]) ).
tcf(c_190946,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK4(X0,X1)) = sz00 )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_148]) ).
tcf(c_190947,plain,
sdtasdt0(sz00,sK8) = sz00,
inference(superposition,[status(thm)],[c_73,c_148]) ).
tcf(c_190948,plain,
sdtasdt0(sz00,sK9) = sz00,
inference(superposition,[status(thm)],[c_81,c_148]) ).
tcf(c_190949,plain,
sdtasdt0(sz00,sK10) = sz00,
inference(superposition,[status(thm)],[c_85,c_148]) ).
tcf(c_190950,plain,
sdtasdt0(sz00,xk) = sz00,
inference(superposition,[status(thm)],[c_88,c_148]) ).
tcf(c_190951,plain,
sdtasdt0(sz00,xr) = sz00,
inference(superposition,[status(thm)],[c_95,c_148]) ).
tcf(c_190952,plain,
sdtasdt0(sz00,sK11) = sz00,
inference(superposition,[status(thm)],[c_96,c_148]) ).
tcf(c_190953,plain,
sdtasdt0(sz00,sK12) = sz00,
inference(superposition,[status(thm)],[c_104,c_148]) ).
tcf(c_190954,plain,
sdtasdt0(sz00,sK13) = sz00,
inference(superposition,[status(thm)],[c_106,c_148]) ).
tcf(c_190955,plain,
sdtasdt0(sz00,sK14) = sz00,
inference(superposition,[status(thm)],[c_110,c_148]) ).
tcf(c_190957,plain,
( sP2
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_116,c_148]) ).
tcf(c_190958,plain,
sdtasdt0(sz00,sK17) = sz00,
inference(superposition,[status(thm)],[c_119,c_148]) ).
tcf(c_190959,plain,
sdtasdt0(sz00,sdtsldt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_125,c_148]) ).
tcf(c_190960,plain,
sdtasdt0(sz00,sK18) = sz00,
inference(superposition,[status(thm)],[c_127,c_148]) ).
tcf(c_190962,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_155,c_148]) ).
tcf(c_190976,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_149]) ).
tcf(c_190977,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_149]) ).
tcf(c_190978,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_149]) ).
tcf(c_190979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),sz00) = sK4(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_149]) ).
tcf(c_190980,plain,
sdtpldt0(sK8,sz00) = sK8,
inference(superposition,[status(thm)],[c_73,c_149]) ).
tcf(c_190981,plain,
sdtpldt0(sK9,sz00) = sK9,
inference(superposition,[status(thm)],[c_81,c_149]) ).
tcf(c_190982,plain,
sdtpldt0(sK10,sz00) = sK10,
inference(superposition,[status(thm)],[c_85,c_149]) ).
tcf(c_190983,plain,
sdtpldt0(xk,sz00) = xk,
inference(superposition,[status(thm)],[c_88,c_149]) ).
tcf(c_190984,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_95,c_149]) ).
tcf(c_190985,plain,
sdtpldt0(sK11,sz00) = sK11,
inference(superposition,[status(thm)],[c_96,c_149]) ).
tcf(c_190986,plain,
sdtpldt0(sK12,sz00) = sK12,
inference(superposition,[status(thm)],[c_104,c_149]) ).
tcf(c_190987,plain,
sdtpldt0(sK13,sz00) = sK13,
inference(superposition,[status(thm)],[c_106,c_149]) ).
tcf(c_190988,plain,
sdtpldt0(sK14,sz00) = sK14,
inference(superposition,[status(thm)],[c_110,c_149]) ).
tcf(c_190990,plain,
( sP2
| ( sdtpldt0(sK16,sz00) = sK16 ) ),
inference(superposition,[status(thm)],[c_116,c_149]) ).
tcf(c_190991,plain,
sdtpldt0(sK17,sz00) = sK17,
inference(superposition,[status(thm)],[c_119,c_149]) ).
tcf(c_190992,plain,
sdtpldt0(sdtsldt0(xn,xr),sz00) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_125,c_149]) ).
tcf(c_190993,plain,
sdtpldt0(sK18,sz00) = sK18,
inference(superposition,[status(thm)],[c_127,c_149]) ).
tcf(c_190994,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_151,c_149]) ).
tcf(c_190995,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_155,c_149]) ).
tcf(c_191009,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_150]) ).
tcf(c_191010,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_150]) ).
tcf(c_191011,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_150]) ).
tcf(c_191012,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK4(X0,X1)) = sK4(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_150]) ).
tcf(c_191013,plain,
sdtpldt0(sz00,sK8) = sK8,
inference(superposition,[status(thm)],[c_73,c_150]) ).
tcf(c_191014,plain,
sdtpldt0(sz00,sK9) = sK9,
inference(superposition,[status(thm)],[c_81,c_150]) ).
tcf(c_191015,plain,
sdtpldt0(sz00,sK10) = sK10,
inference(superposition,[status(thm)],[c_85,c_150]) ).
tcf(c_191016,plain,
sdtpldt0(sz00,xk) = xk,
inference(superposition,[status(thm)],[c_88,c_150]) ).
tcf(c_191017,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_95,c_150]) ).
tcf(c_191018,plain,
sdtpldt0(sz00,sK11) = sK11,
inference(superposition,[status(thm)],[c_96,c_150]) ).
tcf(c_191019,plain,
sdtpldt0(sz00,sK12) = sK12,
inference(superposition,[status(thm)],[c_104,c_150]) ).
tcf(c_191020,plain,
sdtpldt0(sz00,sK13) = sK13,
inference(superposition,[status(thm)],[c_106,c_150]) ).
tcf(c_191021,plain,
sdtpldt0(sz00,sK14) = sK14,
inference(superposition,[status(thm)],[c_110,c_150]) ).
tcf(c_191023,plain,
( sP2
| ( sdtpldt0(sz00,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_116,c_150]) ).
tcf(c_191024,plain,
sdtpldt0(sz00,sK17) = sK17,
inference(superposition,[status(thm)],[c_119,c_150]) ).
tcf(c_191025,plain,
sdtpldt0(sz00,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_125,c_150]) ).
tcf(c_191026,plain,
sdtpldt0(sz00,sK18) = sK18,
inference(superposition,[status(thm)],[c_127,c_150]) ).
tcf(c_191028,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_155,c_150]) ).
tcf(c_191042,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_153]) ).
tcf(c_191043,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_50,c_153]) ).
tcf(c_191044,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_51,c_153]) ).
tcf(c_191045,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK4(X0,X1),sz10) = sK4(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_153]) ).
tcf(c_191046,plain,
sdtasdt0(sK8,sz10) = sK8,
inference(superposition,[status(thm)],[c_73,c_153]) ).
tcf(c_191047,plain,
sdtasdt0(sK9,sz10) = sK9,
inference(superposition,[status(thm)],[c_81,c_153]) ).
tcf(c_191048,plain,
sdtasdt0(sK10,sz10) = sK10,
inference(superposition,[status(thm)],[c_85,c_153]) ).
tcf(c_191049,plain,
sdtasdt0(xk,sz10) = xk,
inference(superposition,[status(thm)],[c_88,c_153]) ).
tcf(c_191050,plain,
sdtasdt0(xr,sz10) = xr,
inference(superposition,[status(thm)],[c_95,c_153]) ).
tcf(c_191051,plain,
sdtasdt0(sK11,sz10) = sK11,
inference(superposition,[status(thm)],[c_96,c_153]) ).
tcf(c_191052,plain,
sdtasdt0(sK12,sz10) = sK12,
inference(superposition,[status(thm)],[c_104,c_153]) ).
tcf(c_191053,plain,
sdtasdt0(sK13,sz10) = sK13,
inference(superposition,[status(thm)],[c_106,c_153]) ).
tcf(c_191054,plain,
sdtasdt0(sK14,sz10) = sK14,
inference(superposition,[status(thm)],[c_110,c_153]) ).
tcf(c_191056,plain,
( sP2
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_116,c_153]) ).
tcf(c_191057,plain,
sdtasdt0(sK17,sz10) = sK17,
inference(superposition,[status(thm)],[c_119,c_153]) ).
tcf(c_191058,plain,
sdtasdt0(sdtsldt0(xn,xr),sz10) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_125,c_153]) ).
tcf(c_191059,plain,
sdtasdt0(sK18,sz10) = sK18,
inference(superposition,[status(thm)],[c_127,c_153]) ).
tcf(c_191061,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_155,c_153]) ).
tcf(c_191075,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_154]) ).
tcf(c_191076,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_154]) ).
tcf(c_191077,plain,
sdtasdt0(sz10,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_154]) ).
tcf(c_191078,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK4(X0,X1)) = sK4(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_154]) ).
tcf(c_191079,plain,
sdtasdt0(sz10,sK8) = sK8,
inference(superposition,[status(thm)],[c_73,c_154]) ).
tcf(c_191080,plain,
sdtasdt0(sz10,sK9) = sK9,
inference(superposition,[status(thm)],[c_81,c_154]) ).
tcf(c_191081,plain,
sdtasdt0(sz10,sK10) = sK10,
inference(superposition,[status(thm)],[c_85,c_154]) ).
tcf(c_191082,plain,
sdtasdt0(sz10,xk) = xk,
inference(superposition,[status(thm)],[c_88,c_154]) ).
tcf(c_191083,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_95,c_154]) ).
tcf(c_191084,plain,
sdtasdt0(sz10,sK11) = sK11,
inference(superposition,[status(thm)],[c_96,c_154]) ).
tcf(c_191085,plain,
sdtasdt0(sz10,sK12) = sK12,
inference(superposition,[status(thm)],[c_104,c_154]) ).
tcf(c_191086,plain,
sdtasdt0(sz10,sK13) = sK13,
inference(superposition,[status(thm)],[c_106,c_154]) ).
tcf(c_191087,plain,
sdtasdt0(sz10,sK14) = sK14,
inference(superposition,[status(thm)],[c_110,c_154]) ).
tcf(c_191089,plain,
( sP2
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_116,c_154]) ).
tcf(c_191090,plain,
sdtasdt0(sz10,sK17) = sK17,
inference(superposition,[status(thm)],[c_119,c_154]) ).
tcf(c_191091,plain,
sdtasdt0(sz10,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_125,c_154]) ).
tcf(c_191092,plain,
sdtasdt0(sz10,sK18) = sK18,
inference(superposition,[status(thm)],[c_127,c_154]) ).
tcf(c_191140,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_154]) ).
tcf(c_191141,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_153]) ).
tcf(c_191142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_150]) ).
tcf(c_191143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_149]) ).
tcf(c_191144,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_148]) ).
tcf(c_191145,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_147]) ).
tcf(c_191146,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xn,sdtpldt0(X0,X1)),xn) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_190836]) ).
tcf(c_191147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_282]) ).
tcf(c_191184,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_107,c_179]) ).
tcf(c_191211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_154]) ).
tcf(c_191212,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_153]) ).
tcf(c_191213,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_150]) ).
tcf(c_191214,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_149]) ).
tcf(c_191215,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_148]) ).
tcf(c_191216,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_147]) ).
tcf(c_191217,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xn,sdtasdt0(X0,X1)),xn) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_190836]) ).
tcf(c_191218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_282]) ).
tcf(c_191219,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_191184,c_106,c_95]) ).
tcf(c_191281,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190929,c_272]) ).
tcf(c_191282,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190928,c_272]) ).
tcf(c_191283,plain,
( doDivides0(sK10,sz00)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190916,c_272]) ).
tcf(c_191284,plain,
( doDivides0(sK9,sz00)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190915,c_272]) ).
tcf(c_191285,plain,
( doDivides0(sK8,sz00)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190914,c_272]) ).
tcf(c_191286,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_190912,c_272]) ).
tcf(c_191287,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_190911,c_272]) ).
tcf(c_191288,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_190910,c_272]) ).
tcf(c_191289,plain,
( doDivides0(xk,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190917,c_272]) ).
tcf(c_191290,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190918,c_272]) ).
tcf(c_191291,plain,
( doDivides0(sK11,sz00)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190919,c_272]) ).
tcf(c_191292,plain,
( doDivides0(sK12,sz00)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190920,c_272]) ).
tcf(c_191293,plain,
( doDivides0(sK13,sz00)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190921,c_272]) ).
tcf(c_191294,plain,
( doDivides0(sK14,sz00)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190922,c_272]) ).
tcf(c_191295,plain,
( doDivides0(sK17,sz00)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190925,c_272]) ).
tcf(c_191296,plain,
( doDivides0(sK18,sz00)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190927,c_272]) ).
tcf(c_191305,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191282,c_151]) ).
tcf(c_191306,plain,
doDivides0(sK18,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191296,c_127,c_151]) ).
tcf(c_191307,plain,
doDivides0(sK17,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191295,c_119,c_151]) ).
tcf(c_191308,plain,
doDivides0(sK14,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191294,c_110,c_151]) ).
tcf(c_191309,plain,
doDivides0(sK13,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191293,c_106,c_151]) ).
tcf(c_191310,plain,
doDivides0(sK12,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191292,c_104,c_151]) ).
tcf(c_191311,plain,
doDivides0(sK11,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191291,c_96,c_151]) ).
tcf(c_191312,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191290,c_95,c_151]) ).
tcf(c_191313,plain,
doDivides0(xk,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191289,c_88,c_151]) ).
tcf(c_191314,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191288,c_151,c_49]) ).
tcf(c_191315,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191287,c_151,c_50]) ).
tcf(c_191316,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191286,c_151,c_51]) ).
tcf(c_191317,plain,
doDivides0(sK8,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191285,c_73,c_151]) ).
tcf(c_191318,plain,
doDivides0(sK9,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191284,c_81,c_151]) ).
tcf(c_191319,plain,
doDivides0(sK10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191283,c_85,c_151]) ).
tcf(c_191320,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_191281,c_155,c_151]) ).
tcf(c_191329,plain,
( sdtlseqdt0(xr,xk)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_105,c_275]) ).
tcf(c_191332,plain,
sdtlseqdt0(xr,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_191329,c_104,c_95]) ).
tcf(c_191474,plain,
sdtasdt0(sz10,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_191219,c_154]) ).
tcf(c_191475,plain,
sdtasdt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_191219,c_153]) ).
tcf(c_191476,plain,
sdtpldt0(sz00,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_191219,c_150]) ).
tcf(c_191477,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_191219,c_149]) ).
tcf(c_191478,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_191219,c_148]) ).
tcf(c_191479,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_191219,c_147]) ).
tcf(c_191480,plain,
sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,xm)),xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_191219,c_190836]) ).
tcf(c_191481,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_282]) ).
tcf(c_191513,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK19(X0,X1)) = sK19(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_154]) ).
tcf(c_191514,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK19(X0,X1),sz10) = sK19(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_153]) ).
tcf(c_191515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK19(X0,X1)) = sK19(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_150]) ).
tcf(c_191516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK19(X0,X1),sz00) = sK19(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_149]) ).
tcf(c_191517,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK19(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_148]) ).
tcf(c_191518,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK19(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_147]) ).
tcf(c_191519,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xn,sK19(X0,X1)),xn) = sK19(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_190836]) ).
tcf(c_191520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK19(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK19(X0,X1),X2),sK19(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_282]) ).
tcf(c_191565,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_171]) ).
tcf(c_191566,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_171]) ).
tcf(c_191567,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_171]) ).
tcf(c_191568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK4(X0,X1),X2) = sdtpldt0(X2,sK4(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_171]) ).
tcf(c_191571,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK8) = sdtpldt0(sK8,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_171]) ).
tcf(c_191572,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK9) = sdtpldt0(sK9,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_171]) ).
tcf(c_191573,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10) = sdtpldt0(sK10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_171]) ).
tcf(c_191574,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xk) = sdtpldt0(xk,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_171]) ).
tcf(c_191575,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_171]) ).
tcf(c_191576,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK11) = sdtpldt0(sK11,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_171]) ).
tcf(c_191577,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK12) = sdtpldt0(sK12,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_171]) ).
tcf(c_191578,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK13) = sdtpldt0(sK13,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_171]) ).
tcf(c_191579,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK14) = sdtpldt0(sK14,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_171]) ).
tcf(c_191581,plain,
! [X0: $i] :
( sP2
| ( sdtpldt0(X0,sK16) = sdtpldt0(sK16,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_171]) ).
tcf(c_191582,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK17) = sdtpldt0(sK17,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_171]) ).
tcf(c_191583,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xr),X0) = sdtpldt0(X0,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_171]) ).
tcf(c_191584,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK18) = sdtpldt0(sK18,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_171]) ).
tcf(c_191585,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_171]) ).
tcf(c_191586,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_171]) ).
tcf(c_191587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_171]) ).
tcf(c_191588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK19(X0,X1),X2) = sdtpldt0(X2,sK19(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_171]) ).
tcf(c_191589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),X2) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_171]) ).
tcf(c_191591,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_171]) ).
tcf(c_191691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK20(X0,X1),X2) = sdtpldt0(X2,sK20(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_171]) ).
tcf(c_191692,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK20(X0,X1)) = sK20(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_154]) ).
tcf(c_191693,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK20(X0,X1),sz10) = sK20(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_153]) ).
tcf(c_191694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK20(X0,X1)) = sK20(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_150]) ).
tcf(c_191695,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK20(X0,X1),sz00) = sK20(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_149]) ).
tcf(c_191696,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK20(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_148]) ).
tcf(c_191697,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK20(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_147]) ).
tcf(c_191698,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xn,sK20(X0,X1)),xn) = sK20(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_190836]) ).
tcf(c_191699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK20(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK20(X0,X1),X2),sK20(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_282]) ).
tcf(c_191764,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_190976,c_275]) ).
tcf(c_191766,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_191764,c_151,c_49]) ).
tcf(c_191767,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_190977,c_275]) ).
tcf(c_191769,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_191767,c_151,c_50]) ).
tcf(c_191770,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_190978,c_275]) ).
tcf(c_191774,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_191770,c_151,c_51]) ).
tcf(c_191775,plain,
( sdtlseqdt0(sK8,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190980,c_275]) ).
tcf(c_191777,plain,
sdtlseqdt0(sK8,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_191775,c_73,c_151]) ).
tcf(c_191778,plain,
( sdtlseqdt0(sK9,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190981,c_275]) ).
tcf(c_191780,plain,
sdtlseqdt0(sK9,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_191778,c_81,c_151]) ).
tcf(c_191781,plain,
( sdtlseqdt0(sK10,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190982,c_275]) ).
tcf(c_191783,plain,
sdtlseqdt0(sK10,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_191781,c_85,c_151]) ).
tcf(c_191790,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_178]) ).
tcf(c_191791,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_178]) ).
tcf(c_191792,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_178]) ).
tcf(c_191793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK4(X0,X1),X2) = sdtasdt0(X2,sK4(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_178]) ).
tcf(c_191796,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK8) = sdtasdt0(sK8,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_178]) ).
tcf(c_191797,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK9) = sdtasdt0(sK9,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_178]) ).
tcf(c_191798,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK10) = sdtasdt0(sK10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_178]) ).
tcf(c_191799,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xk) = sdtasdt0(xk,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_178]) ).
tcf(c_191800,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_178]) ).
tcf(c_191801,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK11) = sdtasdt0(sK11,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_178]) ).
tcf(c_191802,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK12) = sdtasdt0(sK12,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_178]) ).
tcf(c_191803,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK13) = sdtasdt0(sK13,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_178]) ).
tcf(c_191804,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK14) = sdtasdt0(sK14,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_178]) ).
tcf(c_191806,plain,
! [X0: $i] :
( sP2
| ( sdtasdt0(X0,sK16) = sdtasdt0(sK16,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_178]) ).
tcf(c_191807,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK17) = sdtasdt0(sK17,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_178]) ).
tcf(c_191808,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xr),X0) = sdtasdt0(X0,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_178]) ).
tcf(c_191809,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK18) = sdtasdt0(sK18,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_178]) ).
tcf(c_191810,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_178]) ).
tcf(c_191811,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_178]) ).
tcf(c_191812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_178]) ).
tcf(c_191813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK19(X0,X1),X2) = sdtasdt0(X2,sK19(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_178]) ).
tcf(c_191814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_178]) ).
tcf(c_191815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK20(X0,X1),X2) = sdtasdt0(X2,sK20(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_178]) ).
tcf(c_191817,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_178]) ).
tcf(c_191920,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK21(X0),X1) = sdtasdt0(X1,sK21(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_178]) ).
tcf(c_191921,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),X1) = sdtpldt0(X1,sK21(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_171]) ).
tcf(c_191922,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK21(X0)) = sK21(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_154]) ).
tcf(c_191923,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK21(X0),sz10) = sK21(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_153]) ).
tcf(c_191924,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK21(X0)) = sK21(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_150]) ).
tcf(c_191925,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),sz00) = sK21(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_149]) ).
tcf(c_191926,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK21(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_148]) ).
tcf(c_191927,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK21(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_147]) ).
tcf(c_191928,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK21(X0)),xn) = sK21(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_190836]) ).
tcf(c_191929,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK21(X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sK21(X0),X1),sK21(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_282]) ).
tcf(c_191986,plain,
( sdtlseqdt0(xk,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190983,c_275]) ).
tcf(c_191988,plain,
sdtlseqdt0(xk,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_191986,c_88,c_151]) ).
tcf(c_191989,plain,
( sdtlseqdt0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190984,c_275]) ).
tcf(c_191991,plain,
sdtlseqdt0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_191989,c_95,c_151]) ).
tcf(c_191992,plain,
( sdtlseqdt0(sK11,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190985,c_275]) ).
tcf(c_191994,plain,
sdtlseqdt0(sK11,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_191992,c_96,c_151]) ).
tcf(c_191995,plain,
( sdtlseqdt0(sK12,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190986,c_275]) ).
tcf(c_191997,plain,
sdtlseqdt0(sK12,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_191995,c_104,c_151]) ).
tcf(c_192000,plain,
( sdtlseqdt0(sK13,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190987,c_275]) ).
tcf(c_192002,plain,
sdtlseqdt0(sK13,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_192000,c_106,c_151]) ).
tcf(c_192003,plain,
( sdtlseqdt0(sK14,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190988,c_275]) ).
tcf(c_192005,plain,
sdtlseqdt0(sK14,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_192003,c_110,c_151]) ).
tcf(c_192006,plain,
sdtsldt0(sz00,xn) = sz00,
inference(light_normalisation,[status(thm)],[c_190858,c_190910]) ).
tcf(c_192054,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_89,c_137]) ).
tcf(c_192056,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_107,c_137]) ).
tcf(c_192057,plain,
( sdtlseqdt0(xr,xn)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_120,c_137]) ).
tcf(c_192058,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_137]) ).
tcf(c_192084,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190951,c_137]) ).
tcf(c_192085,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190952,c_137]) ).
tcf(c_192086,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190953,c_137]) ).
tcf(c_192087,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190954,c_137]) ).
tcf(c_192088,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190955,c_137]) ).
tcf(c_192089,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190958,c_137]) ).
tcf(c_192090,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190960,c_137]) ).
tcf(c_192109,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192084,c_99,c_95,c_151]) ).
tcf(c_192110,plain,
( sdtlseqdt0(xr,xn)
| ( sz00 = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192057,c_119,c_95]) ).
tcf(c_192113,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sz00 = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192056,c_106,c_95]) ).
tcf(c_192116,plain,
sdtlseqdt0(xp,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_192054,c_93,c_88,c_51]) ).
tcf(c_192117,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192058,c_95,c_125]) ).
tcf(c_192129,plain,
( sdtlseqdt0(sK17,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190991,c_275]) ).
tcf(c_192131,plain,
sdtlseqdt0(sK17,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_192129,c_119,c_151]) ).
tcf(c_192132,plain,
( sdtlseqdt0(sK18,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190993,c_275]) ).
tcf(c_192134,plain,
sdtlseqdt0(sK18,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_192132,c_127,c_151]) ).
tcf(c_192137,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_190995,c_275]) ).
tcf(c_192139,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_192137,c_155,c_151]) ).
tcf(c_192140,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191009,c_275]) ).
tcf(c_192142,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_192140,c_151,c_49]) ).
tcf(c_192161,plain,
sdtsldt0(xn,xn) = sz10,
inference(light_normalisation,[status(thm)],[c_190859,c_191042]) ).
tcf(c_192170,plain,
( ( xp = sz10 )
| ( xp = sz00 )
| ( sK21(xp) = sz10 )
| ( sK21(xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_182,c_71]) ).
tcf(c_192171,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ( sK21(xr) = xr )
| ( sK21(xr) = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_182,c_102]) ).
tcf(c_192172,plain,
( ( sK21(xr) = xr )
| ( sK21(xr) = sz10 )
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192171,c_100,c_99,c_95]) ).
tcf(c_192176,plain,
( ( sK21(xp) = sz10 )
| ( sK21(xp) = xp )
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192170,c_69,c_68,c_51]) ).
tcf(c_192194,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK22(X0),X1) = sdtasdt0(X1,sK22(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_178]) ).
tcf(c_192195,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),X1) = sdtpldt0(X1,sK22(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_171]) ).
tcf(c_192196,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK22(X0)) = sK22(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_154]) ).
tcf(c_192197,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK22(X0),sz10) = sK22(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_153]) ).
tcf(c_192198,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK22(X0)) = sK22(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_150]) ).
tcf(c_192199,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),sz00) = sK22(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_149]) ).
tcf(c_192200,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK22(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_148]) ).
tcf(c_192201,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK22(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_147]) ).
tcf(c_192202,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK22(X0)),xn) = sK22(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_190836]) ).
tcf(c_192203,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK22(X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sK22(X0),X1),sK22(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_282]) ).
tcf(c_192266,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191010,c_275]) ).
tcf(c_192268,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_192266,c_151,c_50]) ).
tcf(c_192269,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191011,c_275]) ).
tcf(c_192271,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_192269,c_151,c_51]) ).
tcf(c_192272,plain,
( sdtlseqdt0(sz00,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191013,c_275]) ).
tcf(c_192274,plain,
sdtlseqdt0(sz00,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_192272,c_73,c_151]) ).
tcf(c_192275,plain,
( sdtlseqdt0(sz00,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191014,c_275]) ).
tcf(c_192277,plain,
sdtlseqdt0(sz00,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_192275,c_81,c_151]) ).
tcf(c_192278,plain,
( sdtlseqdt0(sz00,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191015,c_275]) ).
tcf(c_192280,plain,
sdtlseqdt0(sz00,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_192278,c_85,c_151]) ).
tcf(c_192281,plain,
( sdtlseqdt0(sz00,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191016,c_275]) ).
tcf(c_192283,plain,
sdtlseqdt0(sz00,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_192281,c_88,c_151]) ).
tcf(c_192317,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_136]) ).
tcf(c_192319,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_121,c_136]) ).
tcf(c_192320,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_272,c_136]) ).
tcf(c_192321,plain,
! [X0: $i] :
( sdtlseqdt0(sK21(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_182,c_136]) ).
tcf(c_192338,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192319,c_95,c_49]) ).
tcf(c_192350,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192317,c_95,c_191219]) ).
tcf(c_192394,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_128,c_143]) ).
tcf(c_192418,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192394,c_127,c_125]) ).
tcf(c_192433,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_128,c_144]) ).
tcf(c_192457,plain,
( ( sz00 = sK18 )
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192433,c_127,c_125]) ).
tcf(c_192462,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191017,c_275]) ).
tcf(c_192464,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_192462,c_95,c_151]) ).
tcf(c_192467,plain,
( sdtlseqdt0(sz00,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191018,c_275]) ).
tcf(c_192469,plain,
sdtlseqdt0(sz00,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_192467,c_96,c_151]) ).
tcf(c_192472,plain,
( sdtlseqdt0(sz00,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191019,c_275]) ).
tcf(c_192474,plain,
sdtlseqdt0(sz00,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_192472,c_104,c_151]) ).
tcf(c_192477,plain,
( sdtlseqdt0(sz00,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191020,c_275]) ).
tcf(c_192479,plain,
sdtlseqdt0(sz00,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_192477,c_106,c_151]) ).
tcf(c_192482,plain,
( sdtlseqdt0(sz00,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191021,c_275]) ).
tcf(c_192484,plain,
sdtlseqdt0(sz00,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_192482,c_110,c_151]) ).
tcf(c_192487,plain,
( sdtlseqdt0(sz00,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191024,c_275]) ).
tcf(c_192489,plain,
sdtlseqdt0(sz00,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_192487,c_119,c_151]) ).
tcf(c_192490,plain,
( doDivides0(sdtsldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190926,c_272]) ).
tcf(c_192493,plain,
doDivides0(sdtsldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192490,c_151,c_125]) ).
tcf(c_192504,plain,
( iLess0(xn,xp)
| ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_83,c_173]) ).
tcf(c_192505,plain,
( iLess0(xm,xp)
| ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_87,c_173]) ).
tcf(c_192506,plain,
( iLess0(xk,xp)
| ( xp = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_112,c_173]) ).
tcf(c_192507,plain,
( iLess0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_129,c_173]) ).
tcf(c_192508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_173]) ).
tcf(c_192509,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_137,c_173]) ).
tcf(c_192510,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_152,c_173]) ).
tcf(c_192511,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_275,c_173]) ).
tcf(c_192513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_173]) ).
tcf(c_192515,plain,
( iLess0(sz00,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_192271,c_173]) ).
tcf(c_192516,plain,
( iLess0(sz00,xk)
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192283,c_173]) ).
tcf(c_192517,plain,
( iLess0(sz00,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192464,c_173]) ).
tcf(c_192518,plain,
( iLess0(xr,xk)
| ( xk = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_191332,c_173]) ).
tcf(c_192533,plain,
( iLess0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_192116,c_173]) ).
tcf(c_192535,plain,
( iLess0(sz00,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_192142,c_173]) ).
tcf(c_192536,plain,
( iLess0(sz00,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_192268,c_173]) ).
tcf(c_192537,plain,
( iLess0(sz00,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192274,c_173]) ).
tcf(c_192538,plain,
( iLess0(sz00,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192277,c_173]) ).
tcf(c_192539,plain,
( iLess0(sz00,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192280,c_173]) ).
tcf(c_192540,plain,
( iLess0(sz00,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192469,c_173]) ).
tcf(c_192541,plain,
( iLess0(sz00,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192474,c_173]) ).
tcf(c_192542,plain,
( iLess0(sz00,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192479,c_173]) ).
tcf(c_192543,plain,
( iLess0(sz00,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192484,c_173]) ).
tcf(c_192544,plain,
( iLess0(sz00,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192489,c_173]) ).
tcf(c_192545,plain,
( iLess0(sz00,sK17)
| ( sz00 = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192544,c_119,c_151]) ).
tcf(c_192548,plain,
( iLess0(sz00,sK14)
| ( sz00 = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192543,c_110,c_151]) ).
tcf(c_192551,plain,
( iLess0(sz00,sK13)
| ( sz00 = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192542,c_106,c_151]) ).
tcf(c_192554,plain,
( iLess0(sz00,sK12)
| ( sz00 = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192541,c_104,c_151]) ).
tcf(c_192557,plain,
( iLess0(sz00,sK11)
| ( sz00 = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192540,c_96,c_151]) ).
tcf(c_192560,plain,
( iLess0(sz00,sK10)
| ( sz00 = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192539,c_85,c_151]) ).
tcf(c_192563,plain,
( iLess0(sz00,sK9)
| ( sz00 = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192538,c_81,c_151]) ).
tcf(c_192566,plain,
( iLess0(sz00,sK8)
| ( sz00 = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192537,c_73,c_151]) ).
tcf(c_192569,plain,
( iLess0(sz00,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192536,c_151,c_50]) ).
tcf(c_192572,plain,
( iLess0(sz00,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192535,c_151,c_49]) ).
tcf(c_192575,plain,
( iLess0(xr,xk)
| ( xk = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192518,c_95,c_88]) ).
tcf(c_192578,plain,
iLess0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_192517,c_99,c_95,c_151]) ).
tcf(c_192579,plain,
iLess0(sz00,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_192516,c_93,c_88,c_151]) ).
tcf(c_192580,plain,
iLess0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_192515,c_68,c_151,c_51]) ).
tcf(c_192581,plain,
iLess0(xk,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_192506,c_109,c_88,c_51]) ).
tcf(c_192582,plain,
iLess0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_192505,c_84,c_51,c_50]) ).
tcf(c_192583,plain,
iLess0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_192504,c_80,c_51,c_49]) ).
tcf(c_192594,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192510,c_155]) ).
tcf(c_192599,plain,
( iLess0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192533,c_51,c_191219]) ).
tcf(c_192602,plain,
iLess0(sdtsldt0(xn,xr),xn),
inference(forward_subsumption_resolution,[status(thm)],[c_192507,c_122,c_49,c_125]) ).
tcf(c_192632,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK22(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(X0)) ),
inference(superposition,[status(thm)],[c_187,c_136]) ).
tcf(c_192677,plain,
( ( sdtpldt0(xn,sK19(xn,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_83,c_165]) ).
tcf(c_192678,plain,
( ( sdtpldt0(xm,sK19(xm,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_87,c_165]) ).
tcf(c_192679,plain,
( ( sdtpldt0(xk,sK19(xk,xp)) = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_112,c_165]) ).
tcf(c_192680,plain,
( ( sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_129,c_165]) ).
tcf(c_192681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK19(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_165]) ).
tcf(c_192682,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK19(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_137,c_165]) ).
tcf(c_192683,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_152,c_165]) ).
tcf(c_192684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK19(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_275,c_165]) ).
tcf(c_192685,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK19(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195,c_165]) ).
tcf(c_192686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK19(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_165]) ).
tcf(c_192687,plain,
( ( sdtpldt0(sz00,sK19(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192109,c_165]) ).
tcf(c_192688,plain,
( ( sdtpldt0(sz00,sK19(sz00,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_192271,c_165]) ).
tcf(c_192689,plain,
( ( sdtpldt0(sz00,sK19(sz00,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192283,c_165]) ).
tcf(c_192690,plain,
( ( sdtpldt0(sz00,sK19(sz00,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192464,c_165]) ).
tcf(c_192691,plain,
( ( sdtpldt0(xr,sK19(xr,xk)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_191332,c_165]) ).
tcf(c_192692,plain,
( ( sdtpldt0(xn,sK19(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191766,c_165]) ).
tcf(c_192693,plain,
( ( sdtpldt0(xm,sK19(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191769,c_165]) ).
tcf(c_192694,plain,
( ( sdtpldt0(xp,sK19(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191774,c_165]) ).
tcf(c_192695,plain,
( ( sdtpldt0(sK8,sK19(sK8,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_191777,c_165]) ).
tcf(c_192696,plain,
( ( sdtpldt0(sK9,sK19(sK9,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9) ),
inference(superposition,[status(thm)],[c_191780,c_165]) ).
tcf(c_192697,plain,
( ( sdtpldt0(sK10,sK19(sK10,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10) ),
inference(superposition,[status(thm)],[c_191783,c_165]) ).
tcf(c_192698,plain,
( ( sdtpldt0(xk,sK19(xk,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_191988,c_165]) ).
tcf(c_192699,plain,
( ( sdtpldt0(xr,sK19(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_191991,c_165]) ).
tcf(c_192700,plain,
( ( sdtpldt0(sK11,sK19(sK11,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11) ),
inference(superposition,[status(thm)],[c_191994,c_165]) ).
tcf(c_192701,plain,
( ( sdtpldt0(sK12,sK19(sK12,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12) ),
inference(superposition,[status(thm)],[c_191997,c_165]) ).
tcf(c_192702,plain,
( ( sdtpldt0(sK13,sK19(sK13,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13) ),
inference(superposition,[status(thm)],[c_192002,c_165]) ).
tcf(c_192703,plain,
( ( sdtpldt0(sK14,sK19(sK14,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14) ),
inference(superposition,[status(thm)],[c_192005,c_165]) ).
tcf(c_192704,plain,
( ( sdtpldt0(sK17,sK19(sK17,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17) ),
inference(superposition,[status(thm)],[c_192131,c_165]) ).
tcf(c_192705,plain,
( ( sdtpldt0(sK18,sK19(sK18,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18) ),
inference(superposition,[status(thm)],[c_192134,c_165]) ).
tcf(c_192706,plain,
( ( sdtpldt0(xp,sK19(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_192116,c_165]) ).
tcf(c_192707,plain,
( ( sdtpldt0(sz10,sK19(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_192139,c_165]) ).
tcf(c_192708,plain,
( ( sdtpldt0(sz00,sK19(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_192142,c_165]) ).
tcf(c_192709,plain,
( ( sdtpldt0(sz00,sK19(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_192268,c_165]) ).
tcf(c_192710,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192274,c_165]) ).
tcf(c_192711,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192277,c_165]) ).
tcf(c_192712,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192280,c_165]) ).
tcf(c_192713,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192469,c_165]) ).
tcf(c_192714,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192474,c_165]) ).
tcf(c_192715,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192479,c_165]) ).
tcf(c_192716,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192484,c_165]) ).
tcf(c_192717,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192489,c_165]) ).
tcf(c_192718,plain,
sdtpldt0(sz10,sK19(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_192707,c_155]) ).
tcf(c_192719,plain,
sdtpldt0(sK18,sK19(sK18,sK18)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_192705,c_127]) ).
tcf(c_192720,plain,
sdtpldt0(sK17,sK19(sK17,sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_192704,c_119]) ).
tcf(c_192721,plain,
sdtpldt0(sK14,sK19(sK14,sK14)) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_192703,c_110]) ).
tcf(c_192722,plain,
sdtpldt0(sK13,sK19(sK13,sK13)) = sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_192702,c_106]) ).
tcf(c_192723,plain,
sdtpldt0(sK12,sK19(sK12,sK12)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_192701,c_104]) ).
tcf(c_192724,plain,
sdtpldt0(sK11,sK19(sK11,sK11)) = sK11,
inference(forward_subsumption_resolution,[status(thm)],[c_192700,c_96]) ).
tcf(c_192725,plain,
sdtpldt0(xr,sK19(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_192699,c_95]) ).
tcf(c_192726,plain,
sdtpldt0(xk,sK19(xk,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_192698,c_88]) ).
tcf(c_192727,plain,
sdtpldt0(sK10,sK19(sK10,sK10)) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_192697,c_85]) ).
tcf(c_192728,plain,
sdtpldt0(sK9,sK19(sK9,sK9)) = sK9,
inference(forward_subsumption_resolution,[status(thm)],[c_192696,c_81]) ).
tcf(c_192729,plain,
sdtpldt0(sK8,sK19(sK8,sK8)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_192695,c_73]) ).
tcf(c_192730,plain,
sdtpldt0(xp,sK19(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_192694,c_51]) ).
tcf(c_192731,plain,
sdtpldt0(xm,sK19(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_192693,c_50]) ).
tcf(c_192732,plain,
sdtpldt0(xn,sK19(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_192692,c_49]) ).
tcf(c_192733,plain,
sdtpldt0(sz00,sK19(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192687,c_151]) ).
tcf(c_192736,plain,
sdtpldt0(sz00,sK19(sz00,sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_192717,c_119,c_151]) ).
tcf(c_192737,plain,
sdtpldt0(sz00,sK19(sz00,sK14)) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_192716,c_110,c_151]) ).
tcf(c_192738,plain,
sdtpldt0(sz00,sK19(sz00,sK13)) = sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_192715,c_106,c_151]) ).
tcf(c_192739,plain,
sdtpldt0(sz00,sK19(sz00,sK12)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_192714,c_104,c_151]) ).
tcf(c_192740,plain,
sdtpldt0(sz00,sK19(sz00,sK11)) = sK11,
inference(forward_subsumption_resolution,[status(thm)],[c_192713,c_96,c_151]) ).
tcf(c_192741,plain,
sdtpldt0(sz00,sK19(sz00,sK10)) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_192712,c_85,c_151]) ).
tcf(c_192742,plain,
sdtpldt0(sz00,sK19(sz00,sK9)) = sK9,
inference(forward_subsumption_resolution,[status(thm)],[c_192711,c_81,c_151]) ).
tcf(c_192743,plain,
sdtpldt0(sz00,sK19(sz00,sK8)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_192710,c_73,c_151]) ).
tcf(c_192744,plain,
sdtpldt0(sz00,sK19(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_192709,c_151,c_50]) ).
tcf(c_192745,plain,
sdtpldt0(sz00,sK19(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_192708,c_151,c_49]) ).
tcf(c_192746,plain,
sdtpldt0(xr,sK19(xr,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_192691,c_95,c_88]) ).
tcf(c_192747,plain,
sdtpldt0(sz00,sK19(sz00,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_192690,c_95,c_151]) ).
tcf(c_192748,plain,
sdtpldt0(sz00,sK19(sz00,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_192689,c_88,c_151]) ).
tcf(c_192749,plain,
sdtpldt0(sz00,sK19(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_192688,c_151,c_51]) ).
tcf(c_192750,plain,
sdtpldt0(xk,sK19(xk,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_192679,c_88,c_51]) ).
tcf(c_192751,plain,
sdtpldt0(xm,sK19(xm,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_192678,c_51,c_50]) ).
tcf(c_192752,plain,
sdtpldt0(xn,sK19(xn,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_192677,c_51,c_49]) ).
tcf(c_192761,plain,
sdtpldt0(xp,sK19(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_192706,c_51,c_191219]) ).
tcf(c_192762,plain,
sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_192680,c_49,c_125]) ).
tcf(c_192763,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192683,c_155]) ).
tcf(c_192798,plain,
( ( sdtasdt0(xp,sK20(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_75,c_176]) ).
tcf(c_192799,plain,
( ( sdtasdt0(xr,sK20(xr,xk)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_98,c_176]) ).
tcf(c_192800,plain,
( ( sdtasdt0(xr,sK20(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_176]) ).
tcf(c_192802,plain,
( ( sdtasdt0(xr,sK20(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_121,c_176]) ).
tcf(c_192803,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK20(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_272,c_176]) ).
tcf(c_192804,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK21(X0),sK20(sK21(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_182,c_176]) ).
tcf(c_192805,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK22(X0),sK20(sK22(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(X0)) ),
inference(superposition,[status(thm)],[c_187,c_176]) ).
tcf(c_192806,plain,
( ( sdtasdt0(sz00,sK20(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191305,c_176]) ).
tcf(c_192807,plain,
( ( sdtasdt0(sz10,sK20(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191320,c_176]) ).
tcf(c_192808,plain,
( ( sdtasdt0(sK10,sK20(sK10,sz00)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191319,c_176]) ).
tcf(c_192809,plain,
( ( sdtasdt0(sK9,sK20(sK9,sz00)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191318,c_176]) ).
tcf(c_192810,plain,
( ( sdtasdt0(sK8,sK20(sK8,sz00)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191317,c_176]) ).
tcf(c_192811,plain,
( ( sdtasdt0(xp,sK20(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191316,c_176]) ).
tcf(c_192812,plain,
( ( sdtasdt0(xm,sK20(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191315,c_176]) ).
tcf(c_192813,plain,
( ( sdtasdt0(xn,sK20(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191314,c_176]) ).
tcf(c_192814,plain,
( ( sdtasdt0(xk,sK20(xk,sz00)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191313,c_176]) ).
tcf(c_192815,plain,
( ( sdtasdt0(xr,sK20(xr,sz00)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191312,c_176]) ).
tcf(c_192816,plain,
( ( sdtasdt0(sK11,sK20(sK11,sz00)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191311,c_176]) ).
tcf(c_192817,plain,
( ( sdtasdt0(sK12,sK20(sK12,sz00)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191310,c_176]) ).
tcf(c_192818,plain,
( ( sdtasdt0(sK13,sK20(sK13,sz00)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191309,c_176]) ).
tcf(c_192819,plain,
( ( sdtasdt0(sK14,sK20(sK14,sz00)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191308,c_176]) ).
tcf(c_192820,plain,
( ( sdtasdt0(sK17,sK20(sK17,sz00)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191307,c_176]) ).
tcf(c_192821,plain,
( ( sdtasdt0(sK18,sK20(sK18,sz00)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191306,c_176]) ).
tcf(c_192822,plain,
sdtasdt0(sz00,sK20(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192806,c_151]) ).
tcf(c_192823,plain,
sdtasdt0(sK18,sK20(sK18,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192821,c_127,c_151]) ).
tcf(c_192824,plain,
sdtasdt0(sK17,sK20(sK17,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192820,c_119,c_151]) ).
tcf(c_192825,plain,
sdtasdt0(sK14,sK20(sK14,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192819,c_110,c_151]) ).
tcf(c_192826,plain,
sdtasdt0(sK13,sK20(sK13,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192818,c_106,c_151]) ).
tcf(c_192827,plain,
sdtasdt0(sK12,sK20(sK12,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192817,c_104,c_151]) ).
tcf(c_192828,plain,
sdtasdt0(sK11,sK20(sK11,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192816,c_96,c_151]) ).
tcf(c_192829,plain,
sdtasdt0(xr,sK20(xr,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192815,c_95,c_151]) ).
tcf(c_192830,plain,
sdtasdt0(xk,sK20(xk,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192814,c_88,c_151]) ).
tcf(c_192831,plain,
sdtasdt0(xn,sK20(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192813,c_151,c_49]) ).
tcf(c_192832,plain,
sdtasdt0(xm,sK20(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192812,c_151,c_50]) ).
tcf(c_192833,plain,
sdtasdt0(xp,sK20(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192811,c_151,c_51]) ).
tcf(c_192834,plain,
sdtasdt0(sK8,sK20(sK8,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192810,c_73,c_151]) ).
tcf(c_192835,plain,
sdtasdt0(sK9,sK20(sK9,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192809,c_81,c_151]) ).
tcf(c_192836,plain,
sdtasdt0(sK10,sK20(sK10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192808,c_85,c_151]) ).
tcf(c_192837,plain,
sdtasdt0(sz10,sK20(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192807,c_155,c_151]) ).
tcf(c_192838,plain,
sdtasdt0(xr,sK20(xr,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_192802,c_95,c_49]) ).
tcf(c_192839,plain,
sdtasdt0(xr,sK20(xr,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_192799,c_95,c_88]) ).
tcf(c_192843,plain,
sdtasdt0(xr,sK20(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_192800,c_95,c_191219]) ).
tcf(c_192844,plain,
sdtasdt0(xp,sK20(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_192798,c_51,c_191219]) ).
tcf(c_192892,plain,
( ( sdtasdt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_192493,c_176]) ).
tcf(c_192894,plain,
sdtasdt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_192892,c_151,c_125]) ).
tcf(c_192897,plain,
( sdtlseqdt0(sz00,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191026,c_275]) ).
tcf(c_192899,plain,
sdtlseqdt0(sz00,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_192897,c_127,c_151]) ).
tcf(c_192900,plain,
( ( sdtpldt0(sz00,sK19(sz00,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192899,c_165]) ).
tcf(c_192901,plain,
( iLess0(sz00,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192899,c_173]) ).
tcf(c_192902,plain,
( iLess0(sz00,sK18)
| ( sz00 = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192901,c_127,c_151]) ).
tcf(c_192905,plain,
sdtpldt0(sz00,sK19(sz00,sK18)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_192900,c_127,c_151]) ).
tcf(c_192908,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191028,c_275]) ).
tcf(c_192910,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_192908,c_155,c_151]) ).
tcf(c_192917,plain,
( ( sdtpldt0(sz00,sK19(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192910,c_165]) ).
tcf(c_192918,plain,
( iLess0(sz00,sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_192910,c_173]) ).
tcf(c_192919,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_192918,c_156,c_155,c_151]) ).
tcf(c_192920,plain,
sdtpldt0(sz00,sK19(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_192917,c_155,c_151]) ).
tcf(c_192939,plain,
( ( xp = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xk) ),
inference(superposition,[status(thm)],[c_112,c_194]) ).
tcf(c_192940,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xn,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_129,c_194]) ).
tcf(c_192942,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_137,c_194]) ).
tcf(c_192943,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_152,c_194]) ).
tcf(c_192944,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_275,c_194]) ).
tcf(c_192948,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_192271,c_194]) ).
tcf(c_192949,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xk,sz00) ),
inference(superposition,[status(thm)],[c_192283,c_194]) ).
tcf(c_192950,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_192464,c_194]) ).
tcf(c_192951,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_192910,c_194]) ).
tcf(c_192952,plain,
( ( xk = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xr) ),
inference(superposition,[status(thm)],[c_191332,c_194]) ).
tcf(c_192967,plain,
( ( sdtasdt0(xn,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xp) ),
inference(superposition,[status(thm)],[c_192116,c_194]) ).
tcf(c_192969,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_192142,c_194]) ).
tcf(c_192970,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_192268,c_194]) ).
tcf(c_192971,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK8,sz00) ),
inference(superposition,[status(thm)],[c_192274,c_194]) ).
tcf(c_192972,plain,
( ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK9,sz00) ),
inference(superposition,[status(thm)],[c_192277,c_194]) ).
tcf(c_192973,plain,
( ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK10,sz00) ),
inference(superposition,[status(thm)],[c_192280,c_194]) ).
tcf(c_192974,plain,
( ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK11,sz00) ),
inference(superposition,[status(thm)],[c_192469,c_194]) ).
tcf(c_192975,plain,
( ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK12,sz00) ),
inference(superposition,[status(thm)],[c_192474,c_194]) ).
tcf(c_192976,plain,
( ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK13,sz00) ),
inference(superposition,[status(thm)],[c_192479,c_194]) ).
tcf(c_192977,plain,
( ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK14,sz00) ),
inference(superposition,[status(thm)],[c_192484,c_194]) ).
tcf(c_192978,plain,
( ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK17,sz00) ),
inference(superposition,[status(thm)],[c_192489,c_194]) ).
tcf(c_192979,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK18,sz00) ),
inference(superposition,[status(thm)],[c_192899,c_194]) ).
tcf(c_192980,plain,
( ( sz00 = sK18 )
| ~ sdtlseqdt0(sK18,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192979,c_127,c_151]) ).
tcf(c_192983,plain,
( ( sz00 = sK17 )
| ~ sdtlseqdt0(sK17,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192978,c_119,c_151]) ).
tcf(c_192986,plain,
( ( sz00 = sK14 )
| ~ sdtlseqdt0(sK14,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192977,c_110,c_151]) ).
tcf(c_192989,plain,
( ( sz00 = sK13 )
| ~ sdtlseqdt0(sK13,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192976,c_106,c_151]) ).
tcf(c_192992,plain,
( ( sz00 = sK12 )
| ~ sdtlseqdt0(sK12,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192975,c_104,c_151]) ).
tcf(c_192995,plain,
( ( sz00 = sK11 )
| ~ sdtlseqdt0(sK11,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192974,c_96,c_151]) ).
tcf(c_192998,plain,
( ( sz00 = sK10 )
| ~ sdtlseqdt0(sK10,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192973,c_85,c_151]) ).
tcf(c_193001,plain,
( ( sz00 = sK9 )
| ~ sdtlseqdt0(sK9,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192972,c_81,c_151]) ).
tcf(c_193004,plain,
( ( sz00 = sK8 )
| ~ sdtlseqdt0(sK8,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192971,c_73,c_151]) ).
tcf(c_193007,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192970,c_151,c_50]) ).
tcf(c_193010,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192969,c_151,c_49]) ).
tcf(c_193013,plain,
( ( xk = xr )
| ~ sdtlseqdt0(xk,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192952,c_95,c_88]) ).
tcf(c_193016,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192951,c_156,c_155,c_151]) ).
tcf(c_193017,plain,
~ sdtlseqdt0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192950,c_99,c_95,c_151]) ).
tcf(c_193018,plain,
~ sdtlseqdt0(xk,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192949,c_93,c_88,c_151]) ).
tcf(c_193019,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_192948,c_68,c_151,c_51]) ).
tcf(c_193020,plain,
~ sdtlseqdt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_192939,c_109,c_88,c_51]) ).
tcf(c_193021,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192943,c_155]) ).
tcf(c_193026,plain,
( ( sdtasdt0(xn,xm) = xp )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192967,c_51,c_191219]) ).
tcf(c_193029,plain,
~ sdtlseqdt0(xn,sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_192940,c_122,c_49,c_125]) ).
tcf(c_193102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),X2) = sdtasdt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_178]) ).
tcf(c_193103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),X2) = sdtpldt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_171]) ).
tcf(c_193104,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz10,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_154]) ).
tcf(c_193105,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz10) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_153]) ).
tcf(c_193106,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_150]) ).
tcf(c_193107,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz00) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_149]) ).
tcf(c_193108,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_148]) ).
tcf(c_193109,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_147]) ).
tcf(c_193110,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sdtsldt0(X1,X0)),xn) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_190836]) ).
tcf(c_193111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(X1,X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtsldt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_282]) ).
tcf(c_193229,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191042,c_272]) ).
tcf(c_193232,plain,
doDivides0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_193229,c_155,c_49]) ).
tcf(c_193233,plain,
( ( sdtasdt0(xn,sK20(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_193232,c_176]) ).
tcf(c_193235,plain,
sdtasdt0(xn,sK20(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_193233,c_49]) ).
tcf(c_193236,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191043,c_272]) ).
tcf(c_193239,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_193236,c_155,c_50]) ).
tcf(c_193240,plain,
( ( sdtasdt0(xm,sK20(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_193239,c_176]) ).
tcf(c_193242,plain,
sdtasdt0(xm,sK20(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_193240,c_50]) ).
tcf(c_193243,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191044,c_272]) ).
tcf(c_193246,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_193243,c_155,c_51]) ).
tcf(c_193248,plain,
( ( sdtasdt0(xp,sK20(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_193246,c_176]) ).
tcf(c_193250,plain,
sdtasdt0(xp,sK20(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_193248,c_51]) ).
tcf(c_193282,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190992,c_275]) ).
tcf(c_193284,plain,
sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_193282,c_151,c_125]) ).
tcf(c_193308,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_75,c_180]) ).
tcf(c_193309,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X0) ),
inference(superposition,[status(thm)],[c_98,c_180]) ).
tcf(c_193310,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_108,c_180]) ).
tcf(c_193312,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_121,c_180]) ).
tcf(c_193313,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_272,c_180]) ).
tcf(c_193314,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK21(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_182,c_180]) ).
tcf(c_193315,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| doDivides0(sK22(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_187,c_180]) ).
tcf(c_193317,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191320,c_180]) ).
tcf(c_193318,plain,
! [X0: $i] :
( doDivides0(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191319,c_180]) ).
tcf(c_193319,plain,
! [X0: $i] :
( doDivides0(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191318,c_180]) ).
tcf(c_193320,plain,
! [X0: $i] :
( doDivides0(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191317,c_180]) ).
tcf(c_193321,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191316,c_180]) ).
tcf(c_193322,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191315,c_180]) ).
tcf(c_193323,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191314,c_180]) ).
tcf(c_193324,plain,
! [X0: $i] :
( doDivides0(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191313,c_180]) ).
tcf(c_193325,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191312,c_180]) ).
tcf(c_193326,plain,
! [X0: $i] :
( doDivides0(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191311,c_180]) ).
tcf(c_193327,plain,
! [X0: $i] :
( doDivides0(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191310,c_180]) ).
tcf(c_193328,plain,
! [X0: $i] :
( doDivides0(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191309,c_180]) ).
tcf(c_193329,plain,
! [X0: $i] :
( doDivides0(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191308,c_180]) ).
tcf(c_193330,plain,
! [X0: $i] :
( doDivides0(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191307,c_180]) ).
tcf(c_193331,plain,
! [X0: $i] :
( doDivides0(sK18,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191306,c_180]) ).
tcf(c_193335,plain,
! [X0: $i] :
( doDivides0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_192493,c_180]) ).
tcf(c_193336,plain,
! [X0: $i] :
( doDivides0(sK18,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193331,c_127,c_151]) ).
tcf(c_193340,plain,
! [X0: $i] :
( doDivides0(sK17,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193330,c_119,c_151]) ).
tcf(c_193344,plain,
! [X0: $i] :
( doDivides0(sK14,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193329,c_110,c_151]) ).
tcf(c_193348,plain,
! [X0: $i] :
( doDivides0(sK13,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193328,c_106,c_151]) ).
tcf(c_193352,plain,
! [X0: $i] :
( doDivides0(sK12,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193327,c_104,c_151]) ).
tcf(c_193356,plain,
! [X0: $i] :
( doDivides0(sK11,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193326,c_96,c_151]) ).
tcf(c_193360,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193325,c_95,c_151]) ).
tcf(c_193364,plain,
! [X0: $i] :
( doDivides0(xk,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193324,c_88,c_151]) ).
tcf(c_193368,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193323,c_151,c_49]) ).
tcf(c_193372,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193322,c_151,c_50]) ).
tcf(c_193376,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193321,c_151,c_51]) ).
tcf(c_193380,plain,
! [X0: $i] :
( doDivides0(sK8,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193320,c_73,c_151]) ).
tcf(c_193384,plain,
! [X0: $i] :
( doDivides0(sK9,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193319,c_81,c_151]) ).
tcf(c_193388,plain,
! [X0: $i] :
( doDivides0(sK10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193318,c_85,c_151]) ).
tcf(c_193392,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193317,c_155,c_151]) ).
tcf(c_193396,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193312,c_95,c_49]) ).
tcf(c_193400,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193309,c_95,c_88]) ).
tcf(c_193409,plain,
! [X0: $i] :
( doDivides0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193335,c_151,c_125]) ).
tcf(c_193413,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193310,c_95,c_191219]) ).
tcf(c_193417,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193308,c_51,c_191219]) ).
tcf(c_193474,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_83,c_193]) ).
tcf(c_193475,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_87,c_193]) ).
tcf(c_193476,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_112,c_193]) ).
tcf(c_193477,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_129,c_193]) ).
tcf(c_193479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_137,c_193]) ).
tcf(c_193480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_152,c_193]) ).
tcf(c_193481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_275,c_193]) ).
tcf(c_193483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_192,c_193]) ).
tcf(c_193485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192271,c_193]) ).
tcf(c_193486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192283,c_193]) ).
tcf(c_193487,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192464,c_193]) ).
tcf(c_193488,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192910,c_193]) ).
tcf(c_193489,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_191332,c_193]) ).
tcf(c_193504,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_192116,c_193]) ).
tcf(c_193506,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192142,c_193]) ).
tcf(c_193507,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192268,c_193]) ).
tcf(c_193508,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192274,c_193]) ).
tcf(c_193509,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192277,c_193]) ).
tcf(c_193510,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192280,c_193]) ).
tcf(c_193511,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192469,c_193]) ).
tcf(c_193512,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192474,c_193]) ).
tcf(c_193513,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192479,c_193]) ).
tcf(c_193514,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192484,c_193]) ).
tcf(c_193515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192489,c_193]) ).
tcf(c_193516,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_192899,c_193]) ).
tcf(c_193517,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193516,c_127,c_151]) ).
tcf(c_193521,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193515,c_119,c_151]) ).
tcf(c_193525,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193514,c_110,c_151]) ).
tcf(c_193529,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193513,c_106,c_151]) ).
tcf(c_193533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193512,c_104,c_151]) ).
tcf(c_193537,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193511,c_96,c_151]) ).
tcf(c_193541,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193510,c_85,c_151]) ).
tcf(c_193545,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193509,c_81,c_151]) ).
tcf(c_193549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193508,c_73,c_151]) ).
tcf(c_193553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193507,c_151,c_50]) ).
tcf(c_193557,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193506,c_151,c_49]) ).
tcf(c_193561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193489,c_95,c_88]) ).
tcf(c_193565,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193488,c_155,c_151]) ).
tcf(c_193569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193487,c_95,c_151]) ).
tcf(c_193573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193486,c_88,c_151]) ).
tcf(c_193577,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193485,c_151,c_51]) ).
tcf(c_193581,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193476,c_88,c_51]) ).
tcf(c_193585,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193475,c_51,c_50]) ).
tcf(c_193589,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193474,c_51,c_49]) ).
tcf(c_193599,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193504,c_51,c_191219]) ).
tcf(c_193603,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193477,c_49,c_125]) ).
tcf(c_193613,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193480,c_155]) ).
tcf(c_193696,plain,
( ( sz10 = xr )
| ( xp = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ( sdtasdt0(xn,xm) != xp ) ),
inference(superposition,[status(thm)],[c_107,c_70]) ).
tcf(c_193737,plain,
( ( xp = xr )
| ( sdtasdt0(xn,xm) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193696,c_100,c_106,c_95]) ).
tcf(c_193745,plain,
( doDivides0(sK8,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191046,c_272]) ).
tcf(c_193748,plain,
doDivides0(sK8,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_193745,c_73,c_155]) ).
tcf(c_193763,plain,
( ( sdtasdt0(sK8,sK20(sK8,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_193748,c_176]) ).
tcf(c_193765,plain,
sdtasdt0(sK8,sK20(sK8,sK8)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_193763,c_73]) ).
tcf(c_193767,plain,
( doDivides0(sK9,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191047,c_272]) ).
tcf(c_193770,plain,
doDivides0(sK9,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_193767,c_81,c_155]) ).
tcf(c_193772,plain,
( ( sdtasdt0(sK9,sK20(sK9,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9) ),
inference(superposition,[status(thm)],[c_193770,c_176]) ).
tcf(c_193774,plain,
sdtasdt0(sK9,sK20(sK9,sK9)) = sK9,
inference(forward_subsumption_resolution,[status(thm)],[c_193772,c_81]) ).
tcf(c_193776,plain,
( doDivides0(sK10,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191048,c_272]) ).
tcf(c_193779,plain,
doDivides0(sK10,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_193776,c_85,c_155]) ).
tcf(c_193813,plain,
( ( sdtasdt0(sK10,sK20(sK10,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10) ),
inference(superposition,[status(thm)],[c_193779,c_176]) ).
tcf(c_193815,plain,
sdtasdt0(sK10,sK20(sK10,sK10)) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_193813,c_85]) ).
tcf(c_193817,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191049,c_272]) ).
tcf(c_193820,plain,
doDivides0(xk,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_193817,c_88,c_155]) ).
tcf(c_193822,plain,
( ( sdtasdt0(xk,sK20(xk,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_193820,c_176]) ).
tcf(c_193824,plain,
sdtasdt0(xk,sK20(xk,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_193822,c_88]) ).
tcf(c_193826,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191050,c_272]) ).
tcf(c_193829,plain,
doDivides0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_193826,c_95,c_155]) ).
tcf(c_193832,plain,
( ( sdtasdt0(xr,sK20(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_193829,c_176]) ).
tcf(c_193834,plain,
sdtasdt0(xr,sK20(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_193832,c_95]) ).
tcf(c_193849,plain,
( doDivides0(sK11,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191051,c_272]) ).
tcf(c_193852,plain,
doDivides0(sK11,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_193849,c_96,c_155]) ).
tcf(c_193854,plain,
( ( sdtasdt0(sK11,sK20(sK11,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11) ),
inference(superposition,[status(thm)],[c_193852,c_176]) ).
tcf(c_193856,plain,
sdtasdt0(sK11,sK20(sK11,sK11)) = sK11,
inference(forward_subsumption_resolution,[status(thm)],[c_193854,c_96]) ).
tcf(c_193886,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191025,c_275]) ).
tcf(c_193888,plain,
sdtlseqdt0(sz00,sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_193886,c_151,c_125]) ).
tcf(c_193899,plain,
( ( xp = xr )
| ( xp = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xn,xm) != xr ) ),
inference(superposition,[status(thm)],[c_74,c_101]) ).
tcf(c_193900,plain,
( ( xp = xr )
| ( xp = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xn,xm) != xr ) ),
inference(superposition,[status(thm)],[c_89,c_101]) ).
tcf(c_193949,plain,
( ( xp = xr )
| ( sdtasdt0(xn,xm) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193900,c_69,c_88,c_51]) ).
tcf(c_193964,plain,
( ( sz00 = xk )
| ( xp = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_89,c_142]) ).
tcf(c_193966,plain,
( ( sz00 = sK13 )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_107,c_142]) ).
tcf(c_193968,plain,
( ( sz00 = sK17 )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_120,c_142]) ).
tcf(c_193969,plain,
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_126,c_142]) ).
tcf(c_194013,plain,
( ( sz00 = sK17 )
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193968,c_99,c_119,c_95]) ).
tcf(c_194019,plain,
sdtasdt0(xn,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_193964,c_93,c_68,c_88,c_51]) ).
tcf(c_194034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),X1) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_170]) ).
tcf(c_194035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_170]) ).
tcf(c_194036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_170]) ).
tcf(c_194037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK4(X0,X1),X2),X3) = sdtpldt0(sK4(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_170]) ).
tcf(c_194040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK8,X0),X1) = sdtpldt0(sK8,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_170]) ).
tcf(c_194041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK9,X0),X1) = sdtpldt0(sK9,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_170]) ).
tcf(c_194042,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK10,X0),X1) = sdtpldt0(sK10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_170]) ).
tcf(c_194043,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xk,X0),X1) = sdtpldt0(xk,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_170]) ).
tcf(c_194044,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xr,X0),X1) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_170]) ).
tcf(c_194045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK11,X0),X1) = sdtpldt0(sK11,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_170]) ).
tcf(c_194046,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK12,X0),X1) = sdtpldt0(sK12,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_170]) ).
tcf(c_194047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK13,X0),X1) = sdtpldt0(sK13,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_170]) ).
tcf(c_194048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK14,X0),X1) = sdtpldt0(sK14,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_170]) ).
tcf(c_194050,plain,
! [X0: $i,X1: $i] :
( sP2
| ( sdtpldt0(sdtpldt0(sK16,X0),X1) = sdtpldt0(sK16,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_170]) ).
tcf(c_194051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK17,X0),X1) = sdtpldt0(sK17,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_170]) ).
tcf(c_194052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),X0),X1) = sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_170]) ).
tcf(c_194053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK18,X0),X1) = sdtpldt0(sK18,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_170]) ).
tcf(c_194054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_170]) ).
tcf(c_194055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_170]) ).
tcf(c_194056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_170]) ).
tcf(c_194057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK19(X0,X1),X2),X3) = sdtpldt0(sK19(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_170]) ).
tcf(c_194058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_170]) ).
tcf(c_194059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK20(X0,X1),X2),X3) = sdtpldt0(sK20(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_170]) ).
tcf(c_194060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK21(X0),X1),X2) = sdtpldt0(sK21(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_170]) ).
tcf(c_194061,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK22(X0),X1),X2) = sdtpldt0(sK22(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_170]) ).
tcf(c_194062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_170]) ).
tcf(c_194064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),X1) = sdtpldt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_170]) ).
tcf(c_194197,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),X1) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_177]) ).
tcf(c_194198,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_177]) ).
tcf(c_194199,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_177]) ).
tcf(c_194200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK4(X0,X1),X2),X3) = sdtasdt0(sK4(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_177]) ).
tcf(c_194203,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK8,X0),X1) = sdtasdt0(sK8,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_177]) ).
tcf(c_194204,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK9,X0),X1) = sdtasdt0(sK9,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_177]) ).
tcf(c_194205,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK10,X0),X1) = sdtasdt0(sK10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_177]) ).
tcf(c_194206,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xk,X0),X1) = sdtasdt0(xk,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_177]) ).
tcf(c_194207,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xr,X0),X1) = sdtasdt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_177]) ).
tcf(c_194208,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK11,X0),X1) = sdtasdt0(sK11,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_177]) ).
tcf(c_194209,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK12,X0),X1) = sdtasdt0(sK12,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_177]) ).
tcf(c_194210,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK13,X0),X1) = sdtasdt0(sK13,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_177]) ).
tcf(c_194211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK14,X0),X1) = sdtasdt0(sK14,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_177]) ).
tcf(c_194213,plain,
! [X0: $i,X1: $i] :
( sP2
| ( sdtasdt0(sdtasdt0(sK16,X0),X1) = sdtasdt0(sK16,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_177]) ).
tcf(c_194214,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK17,X0),X1) = sdtasdt0(sK17,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_177]) ).
tcf(c_194215,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),X0),X1) = sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_177]) ).
tcf(c_194216,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK18,X0),X1) = sdtasdt0(sK18,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_177]) ).
tcf(c_194217,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_177]) ).
tcf(c_194218,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X0),X1) = sdtasdt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_177]) ).
tcf(c_194219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_177]) ).
tcf(c_194220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK19(X0,X1),X2),X3) = sdtasdt0(sK19(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_177]) ).
tcf(c_194221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_177]) ).
tcf(c_194222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK20(X0,X1),X2),X3) = sdtasdt0(sK20(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_177]) ).
tcf(c_194223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK21(X0),X1),X2) = sdtasdt0(sK21(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_177]) ).
tcf(c_194224,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK22(X0),X1),X2) = sdtasdt0(sK22(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_177]) ).
tcf(c_194225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),X3) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_177]) ).
tcf(c_194227,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),X1) = sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_177]) ).
tcf(c_194401,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_193888,c_194]) ).
tcf(c_194402,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_193888,c_165]) ).
tcf(c_194403,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_193888,c_173]) ).
tcf(c_194404,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_193888,c_193]) ).
tcf(c_194405,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194403,c_151,c_125]) ).
tcf(c_194408,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194404,c_151,c_125]) ).
tcf(c_194412,plain,
sdtpldt0(sz00,sK19(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_194402,c_151,c_125]) ).
tcf(c_194413,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194401,c_151,c_125]) ).
tcf(c_194419,plain,
( doDivides0(sK12,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191052,c_272]) ).
tcf(c_194422,plain,
doDivides0(sK12,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_194419,c_104,c_155]) ).
tcf(c_194456,plain,
( ( sdtasdt0(sK12,sK20(sK12,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12) ),
inference(superposition,[status(thm)],[c_194422,c_176]) ).
tcf(c_194458,plain,
sdtasdt0(sK12,sK20(sK12,sK12)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_194456,c_104]) ).
tcf(c_194462,plain,
( doDivides0(sK13,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191053,c_272]) ).
tcf(c_194465,plain,
doDivides0(sK13,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_194462,c_106,c_155]) ).
tcf(c_194467,plain,
( ( sdtasdt0(sK13,sK20(sK13,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13) ),
inference(superposition,[status(thm)],[c_194465,c_176]) ).
tcf(c_194469,plain,
sdtasdt0(sK13,sK20(sK13,sK13)) = sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_194467,c_106]) ).
tcf(c_194473,plain,
( doDivides0(sK14,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191054,c_272]) ).
tcf(c_194476,plain,
doDivides0(sK14,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_194473,c_110,c_155]) ).
tcf(c_194485,plain,
( ( sdtasdt0(sK14,sK20(sK14,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14) ),
inference(superposition,[status(thm)],[c_194476,c_176]) ).
tcf(c_194487,plain,
sdtasdt0(sK14,sK20(sK14,sK14)) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_194485,c_110]) ).
tcf(c_194491,plain,
( doDivides0(sK17,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191057,c_272]) ).
tcf(c_194494,plain,
doDivides0(sK17,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_194491,c_119,c_155]) ).
tcf(c_194496,plain,
( ( sdtasdt0(sK17,sK20(sK17,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17) ),
inference(superposition,[status(thm)],[c_194494,c_176]) ).
tcf(c_194498,plain,
sdtasdt0(sK17,sK20(sK17,sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_194496,c_119]) ).
tcf(c_194535,plain,
( doDivides0(sK18,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191059,c_272]) ).
tcf(c_194538,plain,
doDivides0(sK18,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_194535,c_127,c_155]) ).
tcf(c_194540,plain,
( ( sdtasdt0(sK18,sK20(sK18,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18) ),
inference(superposition,[status(thm)],[c_194538,c_176]) ).
tcf(c_194542,plain,
sdtasdt0(sK18,sK20(sK18,sK18)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_194540,c_127]) ).
tcf(c_194546,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191061,c_272]) ).
tcf(c_194549,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_194546,c_155]) ).
tcf(c_194553,plain,
( doDivides0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191058,c_272]) ).
tcf(c_194556,plain,
doDivides0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_194553,c_155,c_125]) ).
tcf(c_194570,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_75,c_190]) ).
tcf(c_194571,plain,
( ( xk = xr )
| ( sz10 = xr )
| ~ isPrime0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_98,c_190]) ).
tcf(c_194572,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_190]) ).
tcf(c_194574,plain,
( ( sz10 = xr )
| ( xn = xr )
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_121,c_190]) ).
tcf(c_194575,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_272,c_190]) ).
tcf(c_194576,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK21(X0) = sz10 )
| ( sK21(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_182,c_190]) ).
tcf(c_194609,plain,
( ( xn = xr )
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194574,c_100,c_95,c_49]) ).
tcf(c_194612,plain,
( ( xk = xr )
| ~ isPrime0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194571,c_100,c_95,c_88]) ).
tcf(c_194619,plain,
( ( sdtasdt0(xn,xm) = xr )
| ~ isPrime0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194572,c_100,c_95,c_191219]) ).
tcf(c_194622,plain,
( ( sdtasdt0(xn,xm) = xp )
| ~ isPrime0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194570,c_69,c_51,c_191219]) ).
tcf(c_194680,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK21(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK21(sdtpldt0(X0,X1)))
| ~ doDivides0(sK21(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_182,c_157]) ).
tcf(c_194681,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK22(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK22(sdtpldt0(X0,X1)))
| ~ doDivides0(sK22(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_187,c_157]) ).
tcf(c_194682,plain,
! [X0: $i] :
( doDivides0(X0,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_82,c_157]) ).
tcf(c_194683,plain,
! [X0: $i] :
( doDivides0(X0,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_86,c_157]) ).
tcf(c_194684,plain,
! [X0: $i] :
( doDivides0(X0,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_105,c_157]) ).
tcf(c_194685,plain,
! [X0: $i] :
( doDivides0(X0,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_111,c_157]) ).
tcf(c_194686,plain,
! [X0: $i] :
( doDivides0(X0,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_128,c_157]) ).
tcf(c_194688,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_190978,c_157]) ).
tcf(c_194689,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_190976,c_157]) ).
tcf(c_194690,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_190977,c_157]) ).
tcf(c_194691,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_190980,c_157]) ).
tcf(c_194692,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9) ),
inference(superposition,[status(thm)],[c_190981,c_157]) ).
tcf(c_194693,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10) ),
inference(superposition,[status(thm)],[c_190982,c_157]) ).
tcf(c_194694,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_190983,c_157]) ).
tcf(c_194695,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_190984,c_157]) ).
tcf(c_194696,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11) ),
inference(superposition,[status(thm)],[c_190985,c_157]) ).
tcf(c_194697,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12) ),
inference(superposition,[status(thm)],[c_190986,c_157]) ).
tcf(c_194698,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13) ),
inference(superposition,[status(thm)],[c_190987,c_157]) ).
tcf(c_194699,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14) ),
inference(superposition,[status(thm)],[c_190988,c_157]) ).
tcf(c_194700,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17) ),
inference(superposition,[status(thm)],[c_190991,c_157]) ).
tcf(c_194701,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190992,c_157]) ).
tcf(c_194702,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18) ),
inference(superposition,[status(thm)],[c_190993,c_157]) ).
tcf(c_194703,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_190995,c_157]) ).
tcf(c_194720,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194703,c_155,c_151]) ).
tcf(c_194724,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194702,c_127,c_151]) ).
tcf(c_194728,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194700,c_119,c_151]) ).
tcf(c_194732,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194699,c_110,c_151]) ).
tcf(c_194736,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194698,c_106,c_151]) ).
tcf(c_194740,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194697,c_104,c_151]) ).
tcf(c_194744,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194696,c_96,c_151]) ).
tcf(c_194748,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194695,c_95,c_151]) ).
tcf(c_194752,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194694,c_88,c_151]) ).
tcf(c_194756,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194693,c_85,c_151]) ).
tcf(c_194760,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194692,c_81,c_151]) ).
tcf(c_194764,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194691,c_73,c_151]) ).
tcf(c_194768,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194690,c_151,c_50]) ).
tcf(c_194772,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194689,c_151,c_49]) ).
tcf(c_194776,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194688,c_151,c_51]) ).
tcf(c_194780,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194701,c_151,c_125]) ).
tcf(c_194784,plain,
! [X0: $i] :
( doDivides0(X0,sK14)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194685,c_110,c_88]) ).
tcf(c_194789,plain,
! [X0: $i] :
( doDivides0(X0,sK12)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194684,c_104,c_95]) ).
tcf(c_194794,plain,
! [X0: $i] :
( doDivides0(X0,sK10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194683,c_85,c_50]) ).
tcf(c_194799,plain,
! [X0: $i] :
( doDivides0(X0,sK9)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194682,c_81,c_49]) ).
tcf(c_194804,plain,
! [X0: $i] :
( doDivides0(X0,sK18)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194686,c_127,c_125]) ).
tcf(c_194872,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_82,c_158]) ).
tcf(c_194873,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_86,c_158]) ).
tcf(c_194874,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_105,c_158]) ).
tcf(c_194875,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_111,c_158]) ).
tcf(c_194876,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_128,c_158]) ).
tcf(c_194910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( sdtpldt0(X0,X1) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ isPrime0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_190]) ).
tcf(c_194911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X1)
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_158,c_180]) ).
tcf(c_194912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK20(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_176]) ).
tcf(c_194913,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_136]) ).
tcf(c_194915,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194875,c_110,c_88]) ).
tcf(c_194920,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194874,c_104,c_95]) ).
tcf(c_194925,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194873,c_85,c_50]) ).
tcf(c_194930,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194872,c_81,c_49]) ).
tcf(c_194935,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194876,c_127,c_125]) ).
tcf(c_195021,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xp ) ),
inference(superposition,[status(thm)],[c_82,c_166]) ).
tcf(c_195022,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xp ) ),
inference(superposition,[status(thm)],[c_86,c_166]) ).
tcf(c_195023,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xk ) ),
inference(superposition,[status(thm)],[c_105,c_166]) ).
tcf(c_195024,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xp ) ),
inference(superposition,[status(thm)],[c_111,c_166]) ).
tcf(c_195025,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != xn ) ),
inference(superposition,[status(thm)],[c_128,c_166]) ).
tcf(c_195026,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190994,c_166]) ).
tcf(c_195027,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_190978,c_166]) ).
tcf(c_195028,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_190976,c_166]) ).
tcf(c_195029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_190977,c_166]) ).
tcf(c_195030,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_190980,c_166]) ).
tcf(c_195031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_190981,c_166]) ).
tcf(c_195032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_190982,c_166]) ).
tcf(c_195033,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_190983,c_166]) ).
tcf(c_195034,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_190984,c_166]) ).
tcf(c_195035,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_190985,c_166]) ).
tcf(c_195036,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_190986,c_166]) ).
tcf(c_195037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_190987,c_166]) ).
tcf(c_195038,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_190988,c_166]) ).
tcf(c_195039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_190991,c_166]) ).
tcf(c_195040,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_190992,c_166]) ).
tcf(c_195041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_190993,c_166]) ).
tcf(c_195042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_190995,c_166]) ).
tcf(c_195043,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_191009,c_166]) ).
tcf(c_195044,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_191010,c_166]) ).
tcf(c_195045,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_191011,c_166]) ).
tcf(c_195046,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_191013,c_166]) ).
tcf(c_195047,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_191014,c_166]) ).
tcf(c_195048,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_191015,c_166]) ).
tcf(c_195049,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(superposition,[status(thm)],[c_191016,c_166]) ).
tcf(c_195050,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_191017,c_166]) ).
tcf(c_195051,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_191018,c_166]) ).
tcf(c_195052,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_191019,c_166]) ).
tcf(c_195053,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_191020,c_166]) ).
tcf(c_195054,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_191021,c_166]) ).
tcf(c_195055,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_191024,c_166]) ).
tcf(c_195056,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191025,c_166]) ).
tcf(c_195057,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_191026,c_166]) ).
tcf(c_195058,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_191028,c_166]) ).
tcf(c_195060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195026,c_151]) ).
tcf(c_195064,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195058,c_155,c_151]) ).
tcf(c_195068,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195057,c_127,c_151]) ).
tcf(c_195072,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195055,c_119,c_151]) ).
tcf(c_195076,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195054,c_110,c_151]) ).
tcf(c_195080,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195053,c_106,c_151]) ).
tcf(c_195084,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195052,c_104,c_151]) ).
tcf(c_195088,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195051,c_96,c_151]) ).
tcf(c_195092,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195050,c_95,c_151]) ).
tcf(c_195096,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195049,c_88,c_151]) ).
tcf(c_195100,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195048,c_85,c_151]) ).
tcf(c_195104,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195047,c_81,c_151]) ).
tcf(c_195108,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195046,c_73,c_151]) ).
tcf(c_195112,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195045,c_151,c_51]) ).
tcf(c_195116,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195044,c_151,c_50]) ).
tcf(c_195120,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195043,c_151,c_49]) ).
tcf(c_195124,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195042,c_155,c_151]) ).
tcf(c_195128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195041,c_127,c_151]) ).
tcf(c_195132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195039,c_119,c_151]) ).
tcf(c_195136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195038,c_110,c_151]) ).
tcf(c_195140,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195037,c_106,c_151]) ).
tcf(c_195144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195036,c_104,c_151]) ).
tcf(c_195148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195035,c_96,c_151]) ).
tcf(c_195152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195034,c_95,c_151]) ).
tcf(c_195156,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195033,c_88,c_151]) ).
tcf(c_195160,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195032,c_85,c_151]) ).
tcf(c_195164,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195031,c_81,c_151]) ).
tcf(c_195168,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195030,c_73,c_151]) ).
tcf(c_195172,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195029,c_151,c_50]) ).
tcf(c_195176,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195028,c_151,c_49]) ).
tcf(c_195180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195027,c_151,c_51]) ).
tcf(c_195184,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195024,c_110,c_88]) ).
tcf(c_195188,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195023,c_104,c_95]) ).
tcf(c_195192,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195022,c_85,c_50]) ).
tcf(c_195196,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195021,c_81,c_49]) ).
tcf(c_195200,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195025,c_127,c_125]) ).
tcf(c_195204,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195056,c_151,c_125]) ).
tcf(c_195208,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195040,c_151,c_125]) ).
tcf(c_195339,plain,
( ( sdtasdt0(sz10,sK20(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_194549,c_176]) ).
tcf(c_195341,plain,
sdtasdt0(sz10,sK20(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_195339,c_155]) ).
tcf(c_195345,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191075,c_272]) ).
tcf(c_195347,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191075,c_137]) ).
tcf(c_195348,plain,
doDivides0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_195345,c_155,c_49]) ).
tcf(c_195349,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195347,c_155,c_49]) ).
tcf(c_195353,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_195348,c_180]) ).
tcf(c_195354,plain,
( ( sdtasdt0(sz10,sK20(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_195348,c_176]) ).
tcf(c_195356,plain,
sdtasdt0(sz10,sK20(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_195354,c_155,c_49]) ).
tcf(c_195357,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195353,c_155,c_49]) ).
tcf(c_195364,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191076,c_272]) ).
tcf(c_195366,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191076,c_137]) ).
tcf(c_195367,plain,
doDivides0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_195364,c_155,c_50]) ).
tcf(c_195368,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195366,c_155,c_50]) ).
tcf(c_195372,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_195367,c_180]) ).
tcf(c_195373,plain,
( ( sdtasdt0(sz10,sK20(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_195367,c_176]) ).
tcf(c_195375,plain,
sdtasdt0(sz10,sK20(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_195373,c_155,c_50]) ).
tcf(c_195376,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195372,c_155,c_50]) ).
tcf(c_195383,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191077,c_272]) ).
tcf(c_195385,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191077,c_137]) ).
tcf(c_195386,plain,
doDivides0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_195383,c_155,c_51]) ).
tcf(c_195387,plain,
sdtlseqdt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_195385,c_68,c_155,c_51]) ).
tcf(c_195390,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_195386,c_180]) ).
tcf(c_195391,plain,
( ( sdtasdt0(sz10,sK20(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_195386,c_176]) ).
tcf(c_195393,plain,
sdtasdt0(sz10,sK20(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_195391,c_155,c_51]) ).
tcf(c_195394,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195390,c_155,c_51]) ).
tcf(c_195398,plain,
( ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz10) ),
inference(superposition,[status(thm)],[c_195387,c_194]) ).
tcf(c_195399,plain,
( ( sdtpldt0(sz10,sK19(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_195387,c_165]) ).
tcf(c_195400,plain,
( iLess0(sz10,xp)
| ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_195387,c_173]) ).
tcf(c_195401,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_195387,c_193]) ).
tcf(c_195402,plain,
iLess0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_195400,c_69,c_155,c_51]) ).
tcf(c_195403,plain,
sdtpldt0(sz10,sK19(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_195399,c_155,c_51]) ).
tcf(c_195404,plain,
~ sdtlseqdt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_195398,c_69,c_155,c_51]) ).
tcf(c_195405,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195401,c_155,c_51]) ).
tcf(c_195414,plain,
( doDivides0(sz10,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191079,c_272]) ).
tcf(c_195416,plain,
( sdtlseqdt0(sz10,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191079,c_137]) ).
tcf(c_195417,plain,
doDivides0(sz10,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_195414,c_73,c_155]) ).
tcf(c_195418,plain,
( sdtlseqdt0(sz10,sK8)
| ( sz00 = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195416,c_73,c_155]) ).
tcf(c_195422,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK8,X0) ),
inference(superposition,[status(thm)],[c_195417,c_180]) ).
tcf(c_195423,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195417,c_176]) ).
tcf(c_195425,plain,
sdtasdt0(sz10,sK20(sz10,sK8)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_195423,c_73,c_155]) ).
tcf(c_195426,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195422,c_73,c_155]) ).
tcf(c_195433,plain,
( doDivides0(sz10,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191080,c_272]) ).
tcf(c_195435,plain,
( sdtlseqdt0(sz10,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191080,c_137]) ).
tcf(c_195436,plain,
doDivides0(sz10,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_195433,c_81,c_155]) ).
tcf(c_195437,plain,
( sdtlseqdt0(sz10,sK9)
| ( sz00 = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195435,c_81,c_155]) ).
tcf(c_195488,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK9) != xp ) ),
inference(superposition,[status(thm)],[c_82,c_167]) ).
tcf(c_195489,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK10) != xp ) ),
inference(superposition,[status(thm)],[c_86,c_167]) ).
tcf(c_195490,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK12) != xk ) ),
inference(superposition,[status(thm)],[c_105,c_167]) ).
tcf(c_195491,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK14) != xp ) ),
inference(superposition,[status(thm)],[c_111,c_167]) ).
tcf(c_195492,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sK18) != xn ) ),
inference(superposition,[status(thm)],[c_128,c_167]) ).
tcf(c_195493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_190994,c_167]) ).
tcf(c_195494,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_190978,c_167]) ).
tcf(c_195495,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_190976,c_167]) ).
tcf(c_195496,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_190977,c_167]) ).
tcf(c_195497,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK8 ) ),
inference(superposition,[status(thm)],[c_190980,c_167]) ).
tcf(c_195498,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK9 ) ),
inference(superposition,[status(thm)],[c_190981,c_167]) ).
tcf(c_195499,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK10 ) ),
inference(superposition,[status(thm)],[c_190982,c_167]) ).
tcf(c_195500,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xk ) ),
inference(superposition,[status(thm)],[c_190983,c_167]) ).
tcf(c_195501,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(superposition,[status(thm)],[c_190984,c_167]) ).
tcf(c_195502,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK11 ) ),
inference(superposition,[status(thm)],[c_190985,c_167]) ).
tcf(c_195503,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK12 ) ),
inference(superposition,[status(thm)],[c_190986,c_167]) ).
tcf(c_195504,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK13 ) ),
inference(superposition,[status(thm)],[c_190987,c_167]) ).
tcf(c_195505,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK14 ) ),
inference(superposition,[status(thm)],[c_190988,c_167]) ).
tcf(c_195506,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK17 ) ),
inference(superposition,[status(thm)],[c_190991,c_167]) ).
tcf(c_195507,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_190992,c_167]) ).
tcf(c_195508,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK18 ) ),
inference(superposition,[status(thm)],[c_190993,c_167]) ).
tcf(c_195509,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_190995,c_167]) ).
tcf(c_195510,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_191009,c_167]) ).
tcf(c_195511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_191010,c_167]) ).
tcf(c_195512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_191011,c_167]) ).
tcf(c_195513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sK8 ) ),
inference(superposition,[status(thm)],[c_191013,c_167]) ).
tcf(c_195514,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK9) != sK9 ) ),
inference(superposition,[status(thm)],[c_191014,c_167]) ).
tcf(c_195515,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK10) != sK10 ) ),
inference(superposition,[status(thm)],[c_191015,c_167]) ).
tcf(c_195516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != xk ) ),
inference(superposition,[status(thm)],[c_191016,c_167]) ).
tcf(c_195517,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_191017,c_167]) ).
tcf(c_195518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK11) != sK11 ) ),
inference(superposition,[status(thm)],[c_191018,c_167]) ).
tcf(c_195519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK12) != sK12 ) ),
inference(superposition,[status(thm)],[c_191019,c_167]) ).
tcf(c_195520,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK13) != sK13 ) ),
inference(superposition,[status(thm)],[c_191020,c_167]) ).
tcf(c_195521,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK14) != sK14 ) ),
inference(superposition,[status(thm)],[c_191021,c_167]) ).
tcf(c_195522,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK17) != sK17 ) ),
inference(superposition,[status(thm)],[c_191024,c_167]) ).
tcf(c_195523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sdtsldt0(xn,xr)) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191025,c_167]) ).
tcf(c_195524,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK18) != sK18 ) ),
inference(superposition,[status(thm)],[c_191026,c_167]) ).
tcf(c_195525,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_191028,c_167]) ).
tcf(c_195527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195493,c_151]) ).
tcf(c_195531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195525,c_155,c_151]) ).
tcf(c_195535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK18) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195524,c_127,c_151]) ).
tcf(c_195539,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK17) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195522,c_119,c_151]) ).
tcf(c_195543,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK14) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195521,c_110,c_151]) ).
tcf(c_195547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK13) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195520,c_106,c_151]) ).
tcf(c_195551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK12) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195519,c_104,c_151]) ).
tcf(c_195555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK11) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195518,c_96,c_151]) ).
tcf(c_195559,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195517,c_95,c_151]) ).
tcf(c_195563,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195516,c_88,c_151]) ).
tcf(c_195567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK10) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195515,c_85,c_151]) ).
tcf(c_195571,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK9) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195514,c_81,c_151]) ).
tcf(c_195575,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195513,c_73,c_151]) ).
tcf(c_195579,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195512,c_151,c_51]) ).
tcf(c_195583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195511,c_151,c_50]) ).
tcf(c_195587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195510,c_151,c_49]) ).
tcf(c_195591,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195509,c_155,c_151]) ).
tcf(c_195595,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195508,c_127,c_151]) ).
tcf(c_195599,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195506,c_119,c_151]) ).
tcf(c_195603,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195505,c_110,c_151]) ).
tcf(c_195607,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195504,c_106,c_151]) ).
tcf(c_195611,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195503,c_104,c_151]) ).
tcf(c_195615,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195502,c_96,c_151]) ).
tcf(c_195619,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195501,c_95,c_151]) ).
tcf(c_195623,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195500,c_88,c_151]) ).
tcf(c_195627,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195499,c_85,c_151]) ).
tcf(c_195631,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195498,c_81,c_151]) ).
tcf(c_195635,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195497,c_73,c_151]) ).
tcf(c_195639,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195496,c_151,c_50]) ).
tcf(c_195643,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195495,c_151,c_49]) ).
tcf(c_195647,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195494,c_151,c_51]) ).
tcf(c_195651,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK14) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195491,c_110,c_88]) ).
tcf(c_195655,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK12) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195490,c_104,c_95]) ).
tcf(c_195659,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195489,c_85,c_50]) ).
tcf(c_195663,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK9) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195488,c_81,c_49]) ).
tcf(c_195667,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK18) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195492,c_127,c_125]) ).
tcf(c_195671,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtsldt0(xn,xr)) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195523,c_151,c_125]) ).
tcf(c_195675,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195507,c_151,c_125]) ).
tcf(c_195734,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_75,c_199]) ).
tcf(c_195735,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xk,xr)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_98,c_199]) ).
tcf(c_195739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199]) ).
tcf(c_195740,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_272,c_199]) ).
tcf(c_195741,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK21(X0) = sz00 )
| ( sdtasdt0(sK21(X0),sdtsldt0(X0,sK21(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_182,c_199]) ).
tcf(c_195742,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK22(X0) = sz00 )
| ( sdtasdt0(sK22(X0),sdtsldt0(X0,sK22(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(X0)) ),
inference(superposition,[status(thm)],[c_187,c_199]) ).
tcf(c_195744,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191320,c_199]) ).
tcf(c_195745,plain,
( ( sz00 = sK10 )
| ( sdtasdt0(sK10,sdtsldt0(sz00,sK10)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191319,c_199]) ).
tcf(c_195746,plain,
( ( sz00 = sK9 )
| ( sdtasdt0(sK9,sdtsldt0(sz00,sK9)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191318,c_199]) ).
tcf(c_195747,plain,
( ( sz00 = sK8 )
| ( sdtasdt0(sK8,sdtsldt0(sz00,sK8)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191317,c_199]) ).
tcf(c_195748,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_191316,c_199]) ).
tcf(c_195749,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_191315,c_199]) ).
tcf(c_195750,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_191314,c_199]) ).
tcf(c_195751,plain,
( ( sz00 = xk )
| ( sdtasdt0(xk,sdtsldt0(sz00,xk)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191313,c_199]) ).
tcf(c_195752,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191312,c_199]) ).
tcf(c_195753,plain,
( ( sz00 = sK11 )
| ( sdtasdt0(sK11,sdtsldt0(sz00,sK11)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191311,c_199]) ).
tcf(c_195754,plain,
( ( sz00 = sK12 )
| ( sdtasdt0(sK12,sdtsldt0(sz00,sK12)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191310,c_199]) ).
tcf(c_195755,plain,
( ( sz00 = sK13 )
| ( sdtasdt0(sK13,sdtsldt0(sz00,sK13)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191309,c_199]) ).
tcf(c_195756,plain,
( ( sz00 = sK14 )
| ( sdtasdt0(sK14,sdtsldt0(sz00,sK14)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191308,c_199]) ).
tcf(c_195757,plain,
( ( sz00 = sK17 )
| ( sdtasdt0(sK17,sdtsldt0(sz00,sK17)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191307,c_199]) ).
tcf(c_195758,plain,
( ( sz00 = sK18 )
| ( sdtasdt0(sK18,sdtsldt0(sz00,sK18)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_191306,c_199]) ).
tcf(c_195759,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_193232,c_199]) ).
tcf(c_195760,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_193239,c_199]) ).
tcf(c_195761,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_193246,c_199]) ).
tcf(c_195762,plain,
( ( sz00 = sK8 )
| ( sdtasdt0(sK8,sdtsldt0(sK8,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_193748,c_199]) ).
tcf(c_195763,plain,
( ( sz00 = sK9 )
| ( sdtasdt0(sK9,sdtsldt0(sK9,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9) ),
inference(superposition,[status(thm)],[c_193770,c_199]) ).
tcf(c_195764,plain,
( ( sz00 = sK10 )
| ( sdtasdt0(sK10,sdtsldt0(sK10,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10) ),
inference(superposition,[status(thm)],[c_193779,c_199]) ).
tcf(c_195765,plain,
( ( sz00 = xk )
| ( sdtasdt0(xk,sdtsldt0(xk,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_193820,c_199]) ).
tcf(c_195766,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_193829,c_199]) ).
tcf(c_195767,plain,
( ( sz00 = sK11 )
| ( sdtasdt0(sK11,sdtsldt0(sK11,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11) ),
inference(superposition,[status(thm)],[c_193852,c_199]) ).
tcf(c_195768,plain,
( ( sz00 = sK12 )
| ( sdtasdt0(sK12,sdtsldt0(sK12,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12) ),
inference(superposition,[status(thm)],[c_194422,c_199]) ).
tcf(c_195769,plain,
( ( sz00 = sK13 )
| ( sdtasdt0(sK13,sdtsldt0(sK13,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13) ),
inference(superposition,[status(thm)],[c_194465,c_199]) ).
tcf(c_195770,plain,
( ( sz00 = sK14 )
| ( sdtasdt0(sK14,sdtsldt0(sK14,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14) ),
inference(superposition,[status(thm)],[c_194476,c_199]) ).
tcf(c_195771,plain,
( ( sz00 = sK17 )
| ( sdtasdt0(sK17,sdtsldt0(sK17,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17) ),
inference(superposition,[status(thm)],[c_194494,c_199]) ).
tcf(c_195772,plain,
( ( sz00 = sK18 )
| ( sdtasdt0(sK18,sdtsldt0(sK18,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18) ),
inference(superposition,[status(thm)],[c_194538,c_199]) ).
tcf(c_195773,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_194549,c_199]) ).
tcf(c_195774,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_195348,c_199]) ).
tcf(c_195775,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_195367,c_199]) ).
tcf(c_195776,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_195386,c_199]) ).
tcf(c_195777,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK8,sz10)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195417,c_199]) ).
tcf(c_195778,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_192493,c_199]) ).
tcf(c_195779,plain,
sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_195773,c_156,c_155]) ).
tcf(c_195780,plain,
( ( sz00 = sK18 )
| ( sdtasdt0(sK18,sdtsldt0(sK18,sK18)) = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195772,c_127]) ).
tcf(c_195783,plain,
( ( sz00 = sK17 )
| ( sdtasdt0(sK17,sdtsldt0(sK17,sK17)) = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195771,c_119]) ).
tcf(c_195786,plain,
( ( sz00 = sK14 )
| ( sdtasdt0(sK14,sdtsldt0(sK14,sK14)) = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195770,c_110]) ).
tcf(c_195789,plain,
( ( sz00 = sK13 )
| ( sdtasdt0(sK13,sdtsldt0(sK13,sK13)) = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195769,c_106]) ).
tcf(c_195792,plain,
( ( sz00 = sK12 )
| ( sdtasdt0(sK12,sdtsldt0(sK12,sK12)) = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195768,c_104]) ).
tcf(c_195795,plain,
( ( sz00 = sK11 )
| ( sdtasdt0(sK11,sdtsldt0(sK11,sK11)) = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195767,c_96]) ).
tcf(c_195798,plain,
sdtasdt0(xr,sdtsldt0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_195766,c_99,c_95]) ).
tcf(c_195799,plain,
sdtasdt0(xk,sdtsldt0(xk,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_195765,c_93,c_88]) ).
tcf(c_195800,plain,
( ( sz00 = sK10 )
| ( sdtasdt0(sK10,sdtsldt0(sK10,sK10)) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195764,c_85]) ).
tcf(c_195803,plain,
( ( sz00 = sK9 )
| ( sdtasdt0(sK9,sdtsldt0(sK9,sK9)) = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195763,c_81]) ).
tcf(c_195806,plain,
( ( sz00 = sK8 )
| ( sdtasdt0(sK8,sdtsldt0(sK8,sK8)) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195762,c_73]) ).
tcf(c_195809,plain,
sdtasdt0(xp,sdtsldt0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_195761,c_68,c_51]) ).
tcf(c_195810,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195760,c_50]) ).
tcf(c_195814,plain,
sdtasdt0(sz10,sdtsldt0(sK8,sz10)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_195777,c_156,c_73,c_155]) ).
tcf(c_195815,plain,
sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_195776,c_156,c_155,c_51]) ).
tcf(c_195816,plain,
sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_195775,c_156,c_155,c_50]) ).
tcf(c_195817,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_195774,c_156,c_155,c_49]) ).
tcf(c_195818,plain,
( ( sz00 = sK18 )
| ( sdtasdt0(sK18,sdtsldt0(sz00,sK18)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195758,c_127,c_151]) ).
tcf(c_195821,plain,
( ( sz00 = sK17 )
| ( sdtasdt0(sK17,sdtsldt0(sz00,sK17)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195757,c_119,c_151]) ).
tcf(c_195824,plain,
( ( sz00 = sK14 )
| ( sdtasdt0(sK14,sdtsldt0(sz00,sK14)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195756,c_110,c_151]) ).
tcf(c_195827,plain,
( ( sz00 = sK13 )
| ( sdtasdt0(sK13,sdtsldt0(sz00,sK13)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195755,c_106,c_151]) ).
tcf(c_195830,plain,
( ( sz00 = sK12 )
| ( sdtasdt0(sK12,sdtsldt0(sz00,sK12)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195754,c_104,c_151]) ).
tcf(c_195833,plain,
( ( sz00 = sK11 )
| ( sdtasdt0(sK11,sdtsldt0(sz00,sK11)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195753,c_96,c_151]) ).
tcf(c_195836,plain,
sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_195752,c_99,c_95,c_151]) ).
tcf(c_195837,plain,
sdtasdt0(xk,sdtsldt0(sz00,xk)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_195751,c_93,c_88,c_151]) ).
tcf(c_195839,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195749,c_151,c_50]) ).
tcf(c_195842,plain,
sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_195748,c_68,c_151,c_51]) ).
tcf(c_195843,plain,
( ( sz00 = sK8 )
| ( sdtasdt0(sK8,sdtsldt0(sz00,sK8)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195747,c_73,c_151]) ).
tcf(c_195846,plain,
( ( sz00 = sK9 )
| ( sdtasdt0(sK9,sdtsldt0(sz00,sK9)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195746,c_81,c_151]) ).
tcf(c_195849,plain,
( ( sz00 = sK10 )
| ( sdtasdt0(sK10,sdtsldt0(sz00,sK10)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195745,c_85,c_151]) ).
tcf(c_195852,plain,
sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_195744,c_156,c_155,c_151]) ).
tcf(c_195853,plain,
sdtasdt0(xr,sdtsldt0(xk,xr)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_195735,c_99,c_95,c_88]) ).
tcf(c_195858,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195778,c_151,c_125]) ).
tcf(c_195975,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_168]) ).
tcf(c_195976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_168]) ).
tcf(c_195977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,X1)) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_168]) ).
tcf(c_195978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK4(X0,X1),X2),sdtasdt0(sK4(X0,X1),X3)) = sdtasdt0(sK4(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_168]) ).
tcf(c_195981,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK8,X0),sdtasdt0(sK8,X1)) = sdtasdt0(sK8,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_168]) ).
tcf(c_195982,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK9,X0),sdtasdt0(sK9,X1)) = sdtasdt0(sK9,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_168]) ).
tcf(c_195983,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK10,X0),sdtasdt0(sK10,X1)) = sdtasdt0(sK10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_168]) ).
tcf(c_195984,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xk,X0),sdtasdt0(xk,X1)) = sdtasdt0(xk,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_168]) ).
tcf(c_195985,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xr,X0),sdtasdt0(xr,X1)) = sdtasdt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_168]) ).
tcf(c_195986,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK11,X0),sdtasdt0(sK11,X1)) = sdtasdt0(sK11,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_168]) ).
tcf(c_195987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK12,X0),sdtasdt0(sK12,X1)) = sdtasdt0(sK12,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_168]) ).
tcf(c_195988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK13,X0),sdtasdt0(sK13,X1)) = sdtasdt0(sK13,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_168]) ).
tcf(c_195989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK14,X0),sdtasdt0(sK14,X1)) = sdtasdt0(sK14,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_168]) ).
tcf(c_195991,plain,
! [X0: $i,X1: $i] :
( sP2
| ( sdtpldt0(sdtasdt0(sK16,X0),sdtasdt0(sK16,X1)) = sdtasdt0(sK16,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_168]) ).
tcf(c_195992,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK17,X0),sdtasdt0(sK17,X1)) = sdtasdt0(sK17,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_168]) ).
tcf(c_195993,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtasdt0(sdtsldt0(xn,xr),X1)) = sdtasdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_168]) ).
tcf(c_195994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK18,X0),sdtasdt0(sK18,X1)) = sdtasdt0(sK18,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_168]) ).
tcf(c_195995,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_168]) ).
tcf(c_195996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_168]) ).
tcf(c_195997,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)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_168]) ).
tcf(c_195998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK19(X0,X1),X2),sdtasdt0(sK19(X0,X1),X3)) = sdtasdt0(sK19(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_168]) ).
tcf(c_195999,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)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_168]) ).
tcf(c_196000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK20(X0,X1),X2),sdtasdt0(sK20(X0,X1),X3)) = sdtasdt0(sK20(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_168]) ).
tcf(c_196001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK21(X0),X1),sdtasdt0(sK21(X0),X2)) = sdtasdt0(sK21(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_168]) ).
tcf(c_196002,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK22(X0),X1),sdtasdt0(sK22(X0),X2)) = sdtasdt0(sK22(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_168]) ).
tcf(c_196003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),X3)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_168]) ).
tcf(c_196005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(sdtasdt0(xn,xm),X1)) = sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_168]) ).
tcf(c_196162,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)) = sdtasdt0(sdtpldt0(X0,X1),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_169]) ).
tcf(c_196163,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm)) = sdtasdt0(sdtpldt0(X0,X1),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_169]) ).
tcf(c_196164,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp)) = sdtasdt0(sdtpldt0(X0,X1),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_169]) ).
tcf(c_196165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK4(X0,X1)),sdtasdt0(X3,sK4(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK4(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_169]) ).
tcf(c_196168,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK8),sdtasdt0(X1,sK8)) = sdtasdt0(sdtpldt0(X0,X1),sK8) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_169]) ).
tcf(c_196169,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK9),sdtasdt0(X1,sK9)) = sdtasdt0(sdtpldt0(X0,X1),sK9) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81,c_169]) ).
tcf(c_196170,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK10),sdtasdt0(X1,sK10)) = sdtasdt0(sdtpldt0(X0,X1),sK10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_85,c_169]) ).
tcf(c_196171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xk),sdtasdt0(X1,xk)) = sdtasdt0(sdtpldt0(X0,X1),xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88,c_169]) ).
tcf(c_196172,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xr),sdtasdt0(X1,xr)) = sdtasdt0(sdtpldt0(X0,X1),xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_169]) ).
tcf(c_196173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK11),sdtasdt0(X1,sK11)) = sdtasdt0(sdtpldt0(X0,X1),sK11) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_169]) ).
tcf(c_196174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK12),sdtasdt0(X1,sK12)) = sdtasdt0(sdtpldt0(X0,X1),sK12) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104,c_169]) ).
tcf(c_196175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK13),sdtasdt0(X1,sK13)) = sdtasdt0(sdtpldt0(X0,X1),sK13) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_169]) ).
tcf(c_196176,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK14),sdtasdt0(X1,sK14)) = sdtasdt0(sdtpldt0(X0,X1),sK14) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110,c_169]) ).
tcf(c_196178,plain,
! [X0: $i,X1: $i] :
( sP2
| ( sdtpldt0(sdtasdt0(X0,sK16),sdtasdt0(X1,sK16)) = sdtasdt0(sdtpldt0(X0,X1),sK16) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_169]) ).
tcf(c_196179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK17),sdtasdt0(X1,sK17)) = sdtasdt0(sdtpldt0(X0,X1),sK17) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_169]) ).
tcf(c_196180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sdtasdt0(X1,sdtsldt0(xn,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_125,c_169]) ).
tcf(c_196181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK18),sdtasdt0(X1,sK18)) = sdtasdt0(sdtpldt0(X0,X1),sK18) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_127,c_169]) ).
tcf(c_196182,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_151,c_169]) ).
tcf(c_196183,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10)) = sdtasdt0(sdtpldt0(X0,X1),sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_155,c_169]) ).
tcf(c_196184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_169]) ).
tcf(c_196185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK19(X0,X1)),sdtasdt0(X3,sK19(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK19(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_169]) ).
tcf(c_196186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_169]) ).
tcf(c_196187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK20(X0,X1)),sdtasdt0(X3,sK20(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK20(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_169]) ).
tcf(c_196188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK21(X0)),sdtasdt0(X2,sK21(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK21(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_169]) ).
tcf(c_196189,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK22(X0)),sdtasdt0(X2,sK22(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK22(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_169]) ).
tcf(c_196190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(X3,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,X3),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_169]) ).
tcf(c_196192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(X1,sdtasdt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191219,c_169]) ).
tcf(c_196374,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK9,sz10)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195436,c_199]) ).
tcf(c_196376,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK9,X0) ),
inference(superposition,[status(thm)],[c_195436,c_180]) ).
tcf(c_196377,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195436,c_176]) ).
tcf(c_196379,plain,
sdtasdt0(sz10,sK20(sz10,sK9)) = sK9,
inference(forward_subsumption_resolution,[status(thm)],[c_196377,c_81,c_155]) ).
tcf(c_196380,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196376,c_81,c_155]) ).
tcf(c_196384,plain,
sdtasdt0(sz10,sdtsldt0(sK9,sz10)) = sK9,
inference(forward_subsumption_resolution,[status(thm)],[c_196374,c_156,c_81,c_155]) ).
tcf(c_196388,plain,
( doDivides0(sz10,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191081,c_272]) ).
tcf(c_196390,plain,
( sdtlseqdt0(sz10,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191081,c_137]) ).
tcf(c_196391,plain,
doDivides0(sz10,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_196388,c_85,c_155]) ).
tcf(c_196392,plain,
( sdtlseqdt0(sz10,sK10)
| ( sz00 = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196390,c_85,c_155]) ).
tcf(c_196395,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK10,sz10)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196391,c_199]) ).
tcf(c_196397,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK10,X0) ),
inference(superposition,[status(thm)],[c_196391,c_180]) ).
tcf(c_196398,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196391,c_176]) ).
tcf(c_196400,plain,
sdtasdt0(sz10,sK20(sz10,sK10)) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_196398,c_85,c_155]) ).
tcf(c_196401,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196397,c_85,c_155]) ).
tcf(c_196405,plain,
sdtasdt0(sz10,sdtsldt0(sK10,sz10)) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_196395,c_156,c_85,c_155]) ).
tcf(c_196409,plain,
( doDivides0(sz10,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191082,c_272]) ).
tcf(c_196411,plain,
( sdtlseqdt0(sz10,xk)
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191082,c_137]) ).
tcf(c_196412,plain,
doDivides0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_196409,c_88,c_155]) ).
tcf(c_196413,plain,
sdtlseqdt0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_196411,c_93,c_88,c_155]) ).
tcf(c_196422,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xk,sz10)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196412,c_199]) ).
tcf(c_196424,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X0) ),
inference(superposition,[status(thm)],[c_196412,c_180]) ).
tcf(c_196425,plain,
( ( sdtasdt0(sz10,sK20(sz10,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196412,c_176]) ).
tcf(c_196427,plain,
sdtasdt0(sz10,sK20(sz10,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_196425,c_88,c_155]) ).
tcf(c_196428,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196424,c_88,c_155]) ).
tcf(c_196432,plain,
sdtasdt0(sz10,sdtsldt0(xk,sz10)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_196422,c_156,c_88,c_155]) ).
tcf(c_196433,plain,
( ( sz10 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xk,sz10) ),
inference(superposition,[status(thm)],[c_196413,c_194]) ).
tcf(c_196434,plain,
( ( sdtpldt0(sz10,sK19(sz10,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196413,c_165]) ).
tcf(c_196435,plain,
( iLess0(sz10,xk)
| ( sz10 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196413,c_173]) ).
tcf(c_196436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_196413,c_193]) ).
tcf(c_196437,plain,
iLess0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_196435,c_94,c_88,c_155]) ).
tcf(c_196438,plain,
sdtpldt0(sz10,sK19(sz10,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_196434,c_88,c_155]) ).
tcf(c_196439,plain,
~ sdtlseqdt0(xk,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_196433,c_94,c_88,c_155]) ).
tcf(c_196440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196436,c_88,c_155]) ).
tcf(c_196449,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191083,c_272]) ).
tcf(c_196451,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191083,c_137]) ).
tcf(c_196452,plain,
doDivides0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_196449,c_95,c_155]) ).
tcf(c_196453,plain,
sdtlseqdt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_196451,c_99,c_95,c_155]) ).
tcf(c_196455,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196452,c_199]) ).
tcf(c_196457,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(superposition,[status(thm)],[c_196452,c_180]) ).
tcf(c_196458,plain,
( ( sdtasdt0(sz10,sK20(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196452,c_176]) ).
tcf(c_196460,plain,
sdtasdt0(sz10,sK20(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_196458,c_95,c_155]) ).
tcf(c_196461,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196457,c_95,c_155]) ).
tcf(c_196465,plain,
sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_196455,c_156,c_95,c_155]) ).
tcf(c_196515,plain,
( ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_196453,c_194]) ).
tcf(c_196516,plain,
( ( sdtpldt0(sz10,sK19(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196453,c_165]) ).
tcf(c_196517,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196453,c_173]) ).
tcf(c_196518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_196453,c_193]) ).
tcf(c_196519,plain,
iLess0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_196517,c_100,c_95,c_155]) ).
tcf(c_196520,plain,
sdtpldt0(sz10,sK19(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_196516,c_95,c_155]) ).
tcf(c_196521,plain,
~ sdtlseqdt0(xr,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_196515,c_100,c_95,c_155]) ).
tcf(c_196522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196518,c_95,c_155]) ).
tcf(c_196529,plain,
( doDivides0(sz10,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191084,c_272]) ).
tcf(c_196531,plain,
( sdtlseqdt0(sz10,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191084,c_137]) ).
tcf(c_196532,plain,
doDivides0(sz10,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_196529,c_96,c_155]) ).
tcf(c_196533,plain,
( sdtlseqdt0(sz10,sK11)
| ( sz00 = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196531,c_96,c_155]) ).
tcf(c_196548,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_82,c_160]) ).
tcf(c_196549,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_86,c_160]) ).
tcf(c_196550,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xr,X0))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_105,c_160]) ).
tcf(c_196551,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xk,X0))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_111,c_160]) ).
tcf(c_196552,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_128,c_160]) ).
tcf(c_196553,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190994,c_160]) ).
tcf(c_196554,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190978,c_160]) ).
tcf(c_196555,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190976,c_160]) ).
tcf(c_196556,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190977,c_160]) ).
tcf(c_196557,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sK8,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190980,c_160]) ).
tcf(c_196558,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sK9,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190981,c_160]) ).
tcf(c_196559,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sK10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190982,c_160]) ).
tcf(c_196560,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190983,c_160]) ).
tcf(c_196561,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190984,c_160]) ).
tcf(c_196562,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sK11,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190985,c_160]) ).
tcf(c_196563,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sK12,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190986,c_160]) ).
tcf(c_196564,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sK13,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190987,c_160]) ).
tcf(c_196565,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sK14,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190988,c_160]) ).
tcf(c_196566,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sK17,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190991,c_160]) ).
tcf(c_196567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190992,c_160]) ).
tcf(c_196568,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sK18,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190993,c_160]) ).
tcf(c_196569,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190995,c_160]) ).
tcf(c_196570,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_191009,c_160]) ).
tcf(c_196571,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_191010,c_160]) ).
tcf(c_196572,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_191011,c_160]) ).
tcf(c_196573,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sz00,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_191013,c_160]) ).
tcf(c_196574,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sz00,X0))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_191014,c_160]) ).
tcf(c_196575,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sz00,X0))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_191015,c_160]) ).
tcf(c_196576,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_191016,c_160]) ).
tcf(c_196577,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_191017,c_160]) ).
tcf(c_196578,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sz00,X0))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_191018,c_160]) ).
tcf(c_196579,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sz00,X0))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_191019,c_160]) ).
tcf(c_196580,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sz00,X0))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_191020,c_160]) ).
tcf(c_196581,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sz00,X0))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_191021,c_160]) ).
tcf(c_196582,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sz00,X0))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_191024,c_160]) ).
tcf(c_196583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_191025,c_160]) ).
tcf(c_196584,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sz00,X0))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_191026,c_160]) ).
tcf(c_196585,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191028,c_160]) ).
tcf(c_196586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_82,c_160]) ).
tcf(c_196587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_86,c_160]) ).
tcf(c_196588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xk)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_105,c_160]) ).
tcf(c_196589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xp)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_111,c_160]) ).
tcf(c_196590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_128,c_160]) ).
tcf(c_196591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190994,c_160]) ).
tcf(c_196592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190978,c_160]) ).
tcf(c_196593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190976,c_160]) ).
tcf(c_196594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190977,c_160]) ).
tcf(c_196595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190980,c_160]) ).
tcf(c_196596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190981,c_160]) ).
tcf(c_196597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190982,c_160]) ).
tcf(c_196598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190983,c_160]) ).
tcf(c_196599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190984,c_160]) ).
tcf(c_196600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190985,c_160]) ).
tcf(c_196601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190986,c_160]) ).
tcf(c_196602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190987,c_160]) ).
tcf(c_196603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190988,c_160]) ).
tcf(c_196604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190991,c_160]) ).
tcf(c_196605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190992,c_160]) ).
tcf(c_196606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190993,c_160]) ).
tcf(c_196607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190995,c_160]) ).
tcf(c_196608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_191009,c_160]) ).
tcf(c_196609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_191010,c_160]) ).
tcf(c_196610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_191011,c_160]) ).
tcf(c_196611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_191013,c_160]) ).
tcf(c_196612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_191014,c_160]) ).
tcf(c_196613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_191015,c_160]) ).
tcf(c_196614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_191016,c_160]) ).
tcf(c_196615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_191017,c_160]) ).
tcf(c_196616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_191018,c_160]) ).
tcf(c_196617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_191019,c_160]) ).
tcf(c_196618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_191020,c_160]) ).
tcf(c_196619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_191021,c_160]) ).
tcf(c_196620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_191024,c_160]) ).
tcf(c_196621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191025,c_160]) ).
tcf(c_196622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_191026,c_160]) ).
tcf(c_196623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191028,c_160]) ).
tcf(c_196624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) ),
inference(superposition,[status(thm)],[c_160,c_194]) ).
tcf(c_196625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK19(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_160,c_165]) ).
tcf(c_196626,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_160,c_173]) ).
tcf(c_196627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,X3))
| ( X2 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X3))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_160,c_193]) ).
tcf(c_196628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196591,c_151]) ).
tcf(c_196633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196553,c_151]) ).
tcf(c_196638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196623,c_155,c_151]) ).
tcf(c_196643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196622,c_127,c_151]) ).
tcf(c_196648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196620,c_119,c_151]) ).
tcf(c_196653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196619,c_110,c_151]) ).
tcf(c_196658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196618,c_106,c_151]) ).
tcf(c_196663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196617,c_104,c_151]) ).
tcf(c_196668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196616,c_96,c_151]) ).
tcf(c_196673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196615,c_95,c_151]) ).
tcf(c_196678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196614,c_88,c_151]) ).
tcf(c_196683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196613,c_85,c_151]) ).
tcf(c_196688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196612,c_81,c_151]) ).
tcf(c_196693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196611,c_73,c_151]) ).
tcf(c_196698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196610,c_151,c_51]) ).
tcf(c_196703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196609,c_151,c_50]) ).
tcf(c_196708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196608,c_151,c_49]) ).
tcf(c_196713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196607,c_155,c_151]) ).
tcf(c_196718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196606,c_127,c_151]) ).
tcf(c_196723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196604,c_119,c_151]) ).
tcf(c_196728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196603,c_110,c_151]) ).
tcf(c_196733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196602,c_106,c_151]) ).
tcf(c_196738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196601,c_104,c_151]) ).
tcf(c_196743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196600,c_96,c_151]) ).
tcf(c_196748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196599,c_95,c_151]) ).
tcf(c_196753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196598,c_88,c_151]) ).
tcf(c_196758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196597,c_85,c_151]) ).
tcf(c_196763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196596,c_81,c_151]) ).
tcf(c_196768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196595,c_73,c_151]) ).
tcf(c_196773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196594,c_151,c_50]) ).
tcf(c_196778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196593,c_151,c_49]) ).
tcf(c_196783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196592,c_151,c_51]) ).
tcf(c_196788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xp)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196589,c_110,c_88]) ).
tcf(c_196793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xk)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196588,c_104,c_95]) ).
tcf(c_196798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196587,c_85,c_50]) ).
tcf(c_196803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196586,c_81,c_49]) ).
tcf(c_196808,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196585,c_155,c_151]) ).
tcf(c_196813,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sz00,X0))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196584,c_127,c_151]) ).
tcf(c_196818,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sz00,X0))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196582,c_119,c_151]) ).
tcf(c_196823,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sz00,X0))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196581,c_110,c_151]) ).
tcf(c_196828,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sz00,X0))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196580,c_106,c_151]) ).
tcf(c_196833,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sz00,X0))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196579,c_104,c_151]) ).
tcf(c_196838,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sz00,X0))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196578,c_96,c_151]) ).
tcf(c_196843,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196577,c_95,c_151]) ).
tcf(c_196848,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196576,c_88,c_151]) ).
tcf(c_196853,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sz00,X0))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196575,c_85,c_151]) ).
tcf(c_196858,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sz00,X0))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196574,c_81,c_151]) ).
tcf(c_196863,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sz00,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196573,c_73,c_151]) ).
tcf(c_196868,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196572,c_151,c_51]) ).
tcf(c_196873,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196571,c_151,c_50]) ).
tcf(c_196878,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196570,c_151,c_49]) ).
tcf(c_196883,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196569,c_155,c_151]) ).
tcf(c_196888,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sK18,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196568,c_127,c_151]) ).
tcf(c_196893,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sK17,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196566,c_119,c_151]) ).
tcf(c_196898,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sK14,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196565,c_110,c_151]) ).
tcf(c_196903,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sK13,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196564,c_106,c_151]) ).
tcf(c_196908,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sK12,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196563,c_104,c_151]) ).
tcf(c_196913,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sK11,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196562,c_96,c_151]) ).
tcf(c_196918,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196561,c_95,c_151]) ).
tcf(c_196923,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196560,c_88,c_151]) ).
tcf(c_196928,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sK10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196559,c_85,c_151]) ).
tcf(c_196933,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sK9,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196558,c_81,c_151]) ).
tcf(c_196938,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sK8,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196557,c_73,c_151]) ).
tcf(c_196943,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196556,c_151,c_50]) ).
tcf(c_196948,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196555,c_151,c_49]) ).
tcf(c_196953,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196554,c_151,c_51]) ).
tcf(c_196958,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xk,X0))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196551,c_110,c_88]) ).
tcf(c_196963,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xr,X0))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196550,c_104,c_95]) ).
tcf(c_196968,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196549,c_85,c_50]) ).
tcf(c_196973,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196548,c_81,c_49]) ).
tcf(c_196978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196590,c_127,c_125]) ).
tcf(c_196983,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196552,c_127,c_125]) ).
tcf(c_196988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196605,c_151,c_125]) ).
tcf(c_196993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196567,c_151,c_125]) ).
tcf(c_196998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196621,c_151,c_125]) ).
tcf(c_197003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196583,c_151,c_125]) ).
tcf(c_197142,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK9))
| ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_82,c_162]) ).
tcf(c_197143,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK10))
| ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_86,c_162]) ).
tcf(c_197144,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK12))
| ( X0 = xr )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_105,c_162]) ).
tcf(c_197145,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK14))
| ( X0 = xk )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_111,c_162]) ).
tcf(c_197146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK18))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_128,c_162]) ).
tcf(c_197147,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190994,c_162]) ).
tcf(c_197148,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_190978,c_162]) ).
tcf(c_197149,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_190976,c_162]) ).
tcf(c_197150,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_190977,c_162]) ).
tcf(c_197151,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sz00))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_190980,c_162]) ).
tcf(c_197152,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sz00))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_190981,c_162]) ).
tcf(c_197153,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sz00))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_190982,c_162]) ).
tcf(c_197154,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sz00))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_190983,c_162]) ).
tcf(c_197155,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_190984,c_162]) ).
tcf(c_197156,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sz00))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_190985,c_162]) ).
tcf(c_197157,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sz00))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_190986,c_162]) ).
tcf(c_197158,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sz00))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_190987,c_162]) ).
tcf(c_197159,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sz00))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_190988,c_162]) ).
tcf(c_197160,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sz00))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_190991,c_162]) ).
tcf(c_197161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_190992,c_162]) ).
tcf(c_197162,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sz00))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_190993,c_162]) ).
tcf(c_197163,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_190995,c_162]) ).
tcf(c_197164,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191009,c_162]) ).
tcf(c_197165,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191010,c_162]) ).
tcf(c_197166,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191011,c_162]) ).
tcf(c_197167,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191013,c_162]) ).
tcf(c_197168,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191014,c_162]) ).
tcf(c_197169,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191015,c_162]) ).
tcf(c_197170,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191016,c_162]) ).
tcf(c_197171,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191017,c_162]) ).
tcf(c_197172,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191018,c_162]) ).
tcf(c_197173,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191019,c_162]) ).
tcf(c_197174,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191020,c_162]) ).
tcf(c_197175,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191021,c_162]) ).
tcf(c_197176,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191024,c_162]) ).
tcf(c_197177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191025,c_162]) ).
tcf(c_197178,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191026,c_162]) ).
tcf(c_197179,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_191028,c_162]) ).
tcf(c_197180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_82,c_162]) ).
tcf(c_197181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_86,c_162]) ).
tcf(c_197182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK12),xk)
| ( X0 = xr )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_105,c_162]) ).
tcf(c_197183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK14),xp)
| ( X0 = xk )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_111,c_162]) ).
tcf(c_197184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK18),xn)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_128,c_162]) ).
tcf(c_197185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190994,c_162]) ).
tcf(c_197186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_190978,c_162]) ).
tcf(c_197187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_190976,c_162]) ).
tcf(c_197188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_190977,c_162]) ).
tcf(c_197189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_190980,c_162]) ).
tcf(c_197190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_190981,c_162]) ).
tcf(c_197191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_190982,c_162]) ).
tcf(c_197192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_190983,c_162]) ).
tcf(c_197193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_190984,c_162]) ).
tcf(c_197194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_190985,c_162]) ).
tcf(c_197195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_190986,c_162]) ).
tcf(c_197196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_190987,c_162]) ).
tcf(c_197197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_190988,c_162]) ).
tcf(c_197198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_190991,c_162]) ).
tcf(c_197199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190992,c_162]) ).
tcf(c_197200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_190993,c_162]) ).
tcf(c_197201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_190995,c_162]) ).
tcf(c_197202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191009,c_162]) ).
tcf(c_197203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191010,c_162]) ).
tcf(c_197204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191011,c_162]) ).
tcf(c_197205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191013,c_162]) ).
tcf(c_197206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191014,c_162]) ).
tcf(c_197207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191015,c_162]) ).
tcf(c_197208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191016,c_162]) ).
tcf(c_197209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191017,c_162]) ).
tcf(c_197210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK11),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191018,c_162]) ).
tcf(c_197211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK12),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191019,c_162]) ).
tcf(c_197212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK13),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191020,c_162]) ).
tcf(c_197213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK14),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191021,c_162]) ).
tcf(c_197214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK17),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191024,c_162]) ).
tcf(c_197215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191025,c_162]) ).
tcf(c_197216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK18),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191026,c_162]) ).
tcf(c_197217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_191028,c_162]) ).
tcf(c_197218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) ),
inference(superposition,[status(thm)],[c_162,c_194]) ).
tcf(c_197219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK19(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_162,c_165]) ).
tcf(c_197220,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_162,c_173]) ).
tcf(c_197221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X3,X2))
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtpldt0(X3,X2))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_162,c_193]) ).
tcf(c_197222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197185,c_151]) ).
tcf(c_197227,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197147,c_151]) ).
tcf(c_197232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197217,c_155,c_151]) ).
tcf(c_197237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK18),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197216,c_127,c_151]) ).
tcf(c_197242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK17),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197214,c_119,c_151]) ).
tcf(c_197247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK14),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197213,c_110,c_151]) ).
tcf(c_197252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK13),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197212,c_106,c_151]) ).
tcf(c_197257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK12),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197211,c_104,c_151]) ).
tcf(c_197262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK11),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197210,c_96,c_151]) ).
tcf(c_197267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197209,c_95,c_151]) ).
tcf(c_197272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197208,c_88,c_151]) ).
tcf(c_197277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197207,c_85,c_151]) ).
tcf(c_197282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197206,c_81,c_151]) ).
tcf(c_197287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197205,c_73,c_151]) ).
tcf(c_197292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197204,c_151,c_51]) ).
tcf(c_197297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197203,c_151,c_50]) ).
tcf(c_197302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197202,c_151,c_49]) ).
tcf(c_197307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197201,c_155,c_151]) ).
tcf(c_197312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197200,c_127,c_151]) ).
tcf(c_197317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197198,c_119,c_151]) ).
tcf(c_197322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197197,c_110,c_151]) ).
tcf(c_197327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197196,c_106,c_151]) ).
tcf(c_197332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197195,c_104,c_151]) ).
tcf(c_197337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197194,c_96,c_151]) ).
tcf(c_197342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197193,c_95,c_151]) ).
tcf(c_197347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197192,c_88,c_151]) ).
tcf(c_197352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197191,c_85,c_151]) ).
tcf(c_197357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197190,c_81,c_151]) ).
tcf(c_197362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197189,c_73,c_151]) ).
tcf(c_197367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197188,c_151,c_50]) ).
tcf(c_197372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197187,c_151,c_49]) ).
tcf(c_197377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197186,c_151,c_51]) ).
tcf(c_197382,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK14),xp)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197183,c_110,c_88]) ).
tcf(c_197387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK12),xk)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197182,c_104,c_95]) ).
tcf(c_197392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197181,c_85,c_50]) ).
tcf(c_197397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197180,c_81,c_49]) ).
tcf(c_197402,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197179,c_155,c_151]) ).
tcf(c_197407,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197178,c_127,c_151]) ).
tcf(c_197412,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197176,c_119,c_151]) ).
tcf(c_197417,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197175,c_110,c_151]) ).
tcf(c_197422,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197174,c_106,c_151]) ).
tcf(c_197427,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197173,c_104,c_151]) ).
tcf(c_197432,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197172,c_96,c_151]) ).
tcf(c_197437,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197171,c_95,c_151]) ).
tcf(c_197442,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197170,c_88,c_151]) ).
tcf(c_197447,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197169,c_85,c_151]) ).
tcf(c_197452,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197168,c_81,c_151]) ).
tcf(c_197457,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197167,c_73,c_151]) ).
tcf(c_197462,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197166,c_151,c_51]) ).
tcf(c_197467,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197165,c_151,c_50]) ).
tcf(c_197472,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197164,c_151,c_49]) ).
tcf(c_197477,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197163,c_155,c_151]) ).
tcf(c_197482,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sz00))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197162,c_127,c_151]) ).
tcf(c_197487,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sz00))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197160,c_119,c_151]) ).
tcf(c_197492,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sz00))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197159,c_110,c_151]) ).
tcf(c_197497,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sz00))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197158,c_106,c_151]) ).
tcf(c_197502,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sz00))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197157,c_104,c_151]) ).
tcf(c_197507,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sz00))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197156,c_96,c_151]) ).
tcf(c_197512,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197155,c_95,c_151]) ).
tcf(c_197517,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sz00))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197154,c_88,c_151]) ).
tcf(c_197522,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sz00))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197153,c_85,c_151]) ).
tcf(c_197527,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sz00))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197152,c_81,c_151]) ).
tcf(c_197532,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sz00))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197151,c_73,c_151]) ).
tcf(c_197537,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197150,c_151,c_50]) ).
tcf(c_197542,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197149,c_151,c_49]) ).
tcf(c_197547,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197148,c_151,c_51]) ).
tcf(c_197552,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK14))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197145,c_110,c_88]) ).
tcf(c_197557,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK12))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197144,c_104,c_95]) ).
tcf(c_197562,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197143,c_85,c_50]) ).
tcf(c_197567,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK9))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197142,c_81,c_49]) ).
tcf(c_197572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197215,c_151,c_125]) ).
tcf(c_197577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK18),xn)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197184,c_127,c_125]) ).
tcf(c_197582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197177,c_151,c_125]) ).
tcf(c_197587,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK18))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197146,c_127,c_125]) ).
tcf(c_197592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197199,c_151,c_125]) ).
tcf(c_197597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197161,c_151,c_125]) ).
tcf(c_198041,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_145]) ).
tcf(c_198042,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_145]) ).
tcf(c_198043,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_145]) ).
tcf(c_198044,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_145]) ).
tcf(c_198046,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_145]) ).
tcf(c_198047,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_145]) ).
tcf(c_198048,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_145]) ).
tcf(c_198052,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_145]) ).
tcf(c_198053,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_145]) ).
tcf(c_198054,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_145]) ).
tcf(c_198055,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_145]) ).
tcf(c_198056,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_145]) ).
tcf(c_198057,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_145]) ).
tcf(c_198058,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_145]) ).
tcf(c_198059,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_145]) ).
tcf(c_198060,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_145]) ).
tcf(c_198061,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_145]) ).
tcf(c_198062,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_145]) ).
tcf(c_198063,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_145]) ).
tcf(c_198064,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_145]) ).
tcf(c_198065,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_145]) ).
tcf(c_198066,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_145]) ).
tcf(c_198067,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_145]) ).
tcf(c_198083,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_145]) ).
tcf(c_198084,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_145]) ).
tcf(c_198085,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_145]) ).
tcf(c_198086,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_145]) ).
tcf(c_198087,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_145]) ).
tcf(c_198088,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_145]) ).
tcf(c_198089,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_145]) ).
tcf(c_198090,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_145]) ).
tcf(c_198091,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_145]) ).
tcf(c_198092,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_145]) ).
tcf(c_198093,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_145]) ).
tcf(c_198094,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_145]) ).
tcf(c_198095,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_145]) ).
tcf(c_198096,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_145]) ).
tcf(c_198097,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_145]) ).
tcf(c_198098,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_145]) ).
tcf(c_198099,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_145]) ).
tcf(c_198100,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_145]) ).
tcf(c_198101,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_145]) ).
tcf(c_198102,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_145]) ).
tcf(c_198103,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_145]) ).
tcf(c_198104,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_145]) ).
tcf(c_198105,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_145]) ).
tcf(c_198106,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_145]) ).
tcf(c_198108,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198097,c_156,c_155]) ).
tcf(c_198112,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198106,c_156,c_96,c_155]) ).
tcf(c_198116,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198105,c_156,c_95,c_155]) ).
tcf(c_198120,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198104,c_156,c_88,c_155]) ).
tcf(c_198124,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198103,c_156,c_85,c_155]) ).
tcf(c_198128,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198102,c_156,c_81,c_155]) ).
tcf(c_198132,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198101,c_156,c_73,c_155]) ).
tcf(c_198136,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198100,c_156,c_155,c_50]) ).
tcf(c_198140,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198099,c_156,c_155,c_49]) ).
tcf(c_198144,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198098,c_156,c_155,c_51]) ).
tcf(c_198148,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198096,c_127,c_155]) ).
tcf(c_198153,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198094,c_119,c_155]) ).
tcf(c_198158,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198093,c_110,c_155]) ).
tcf(c_198163,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198092,c_106,c_155]) ).
tcf(c_198168,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198091,c_104,c_155]) ).
tcf(c_198173,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198090,c_96,c_155]) ).
tcf(c_198178,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198089,c_99,c_95,c_155]) ).
tcf(c_198182,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198088,c_93,c_88,c_155]) ).
tcf(c_198186,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198087,c_85,c_155]) ).
tcf(c_198191,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198086,c_81,c_155]) ).
tcf(c_198196,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198085,c_73,c_155]) ).
tcf(c_198201,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198084,c_68,c_155,c_51]) ).
tcf(c_198205,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198083,c_155,c_50]) ).
tcf(c_198210,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198067,c_155,c_49]) ).
tcf(c_198215,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198065,c_127,c_151]) ).
tcf(c_198220,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198064,c_119,c_151]) ).
tcf(c_198225,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198063,c_110,c_151]) ).
tcf(c_198230,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198062,c_106,c_151]) ).
tcf(c_198235,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198061,c_104,c_151]) ).
tcf(c_198240,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198060,c_96,c_151]) ).
tcf(c_198245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198059,c_99,c_95,c_151]) ).
tcf(c_198249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198058,c_93,c_88,c_151]) ).
tcf(c_198253,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198057,c_151,c_49]) ).
tcf(c_198258,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198056,c_151,c_50]) ).
tcf(c_198263,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198055,c_68,c_151,c_51]) ).
tcf(c_198267,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198054,c_73,c_151]) ).
tcf(c_198272,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198053,c_81,c_151]) ).
tcf(c_198277,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198052,c_85,c_151]) ).
tcf(c_198282,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198048,c_156,c_155,c_151]) ).
tcf(c_198286,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198046,c_99,c_119,c_95]) ).
tcf(c_198290,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198043,c_99,c_96,c_95]) ).
tcf(c_198294,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198044,c_99,c_106,c_95]) ).
tcf(c_198298,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198042,c_68,c_88,c_51]) ).
tcf(c_198302,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198041,c_68,c_73,c_51]) ).
tcf(c_198306,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198047,c_99,c_95,c_125]) ).
tcf(c_198310,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198066,c_151,c_125]) ).
tcf(c_198321,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198095,c_155,c_125]) ).
tcf(c_198574,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_146]) ).
tcf(c_198575,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_146]) ).
tcf(c_198576,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_146]) ).
tcf(c_198577,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_146]) ).
tcf(c_198579,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_146]) ).
tcf(c_198580,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_146]) ).
tcf(c_198582,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_146]) ).
tcf(c_198600,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_146]) ).
tcf(c_198601,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_146]) ).
tcf(c_198602,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_146]) ).
tcf(c_198603,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_146]) ).
tcf(c_198604,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_146]) ).
tcf(c_198605,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_146]) ).
tcf(c_198606,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_146]) ).
tcf(c_198607,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_146]) ).
tcf(c_198608,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_146]) ).
tcf(c_198609,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_146]) ).
tcf(c_198610,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_146]) ).
tcf(c_198611,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_146]) ).
tcf(c_198612,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_146]) ).
tcf(c_198613,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_146]) ).
tcf(c_198614,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_146]) ).
tcf(c_198615,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_146]) ).
tcf(c_198616,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_146]) ).
tcf(c_198617,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_146]) ).
tcf(c_198618,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_146]) ).
tcf(c_198619,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_146]) ).
tcf(c_198620,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_146]) ).
tcf(c_198621,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_146]) ).
tcf(c_198622,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_146]) ).
tcf(c_198623,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_146]) ).
tcf(c_198624,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_146]) ).
tcf(c_198625,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_146]) ).
tcf(c_198626,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_146]) ).
tcf(c_198627,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_146]) ).
tcf(c_198628,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_146]) ).
tcf(c_198629,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_146]) ).
tcf(c_198630,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_146]) ).
tcf(c_198631,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_146]) ).
tcf(c_198632,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_146]) ).
tcf(c_198633,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_146]) ).
tcf(c_198634,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_146]) ).
tcf(c_198635,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_146]) ).
tcf(c_198636,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK10) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_146]) ).
tcf(c_198637,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_146]) ).
tcf(c_198638,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_146]) ).
tcf(c_198639,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_146]) ).
tcf(c_198641,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198630,c_156,c_155]) ).
tcf(c_198645,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198639,c_96,c_155]) ).
tcf(c_198650,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198638,c_99,c_95,c_155]) ).
tcf(c_198654,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198637,c_93,c_88,c_155]) ).
tcf(c_198658,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK10) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198636,c_85,c_155]) ).
tcf(c_198663,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198635,c_81,c_155]) ).
tcf(c_198668,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198634,c_73,c_155]) ).
tcf(c_198673,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198633,c_155,c_50]) ).
tcf(c_198678,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198632,c_155,c_49]) ).
tcf(c_198683,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198631,c_68,c_155,c_51]) ).
tcf(c_198687,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198629,c_156,c_127,c_155]) ).
tcf(c_198691,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198627,c_156,c_119,c_155]) ).
tcf(c_198695,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198626,c_156,c_110,c_155]) ).
tcf(c_198699,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198625,c_156,c_106,c_155]) ).
tcf(c_198703,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198624,c_156,c_104,c_155]) ).
tcf(c_198707,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198623,c_156,c_96,c_155]) ).
tcf(c_198711,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198622,c_156,c_95,c_155]) ).
tcf(c_198715,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198621,c_156,c_88,c_155]) ).
tcf(c_198719,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198620,c_156,c_85,c_155]) ).
tcf(c_198723,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198619,c_156,c_81,c_155]) ).
tcf(c_198727,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198618,c_156,c_73,c_155]) ).
tcf(c_198731,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198617,c_156,c_155,c_51]) ).
tcf(c_198735,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198616,c_156,c_155,c_50]) ).
tcf(c_198739,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK18) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198615,c_127,c_151]) ).
tcf(c_198744,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198613,c_119,c_151]) ).
tcf(c_198749,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK14) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198612,c_110,c_151]) ).
tcf(c_198754,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198611,c_106,c_151]) ).
tcf(c_198759,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK12) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198610,c_104,c_151]) ).
tcf(c_198764,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198609,c_96,c_151]) ).
tcf(c_198769,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198608,c_99,c_95,c_151]) ).
tcf(c_198773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198607,c_93,c_88,c_151]) ).
tcf(c_198777,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198606,c_85,c_151]) ).
tcf(c_198782,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198605,c_81,c_151]) ).
tcf(c_198787,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198604,c_73,c_151]) ).
tcf(c_198792,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198603,c_68,c_151,c_51]) ).
tcf(c_198796,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198602,c_151,c_50]) ).
tcf(c_198801,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198601,c_151,c_49]) ).
tcf(c_198806,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198600,c_156,c_155,c_49]) ).
tcf(c_198810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198582,c_156,c_155,c_151]) ).
tcf(c_198814,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198579,c_119,c_95]) ).
tcf(c_198819,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK11) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198576,c_96,c_95]) ).
tcf(c_198824,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198577,c_106,c_95]) ).
tcf(c_198829,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198575,c_93,c_88,c_51]) ).
tcf(c_198833,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK8) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198574,c_73,c_51]) ).
tcf(c_198838,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198628,c_156,c_155,c_125]) ).
tcf(c_198842,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198614,c_151,c_125]) ).
tcf(c_198847,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198580,c_95,c_125]) ).
tcf(c_199078,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK11,sz10)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196532,c_199]) ).
tcf(c_199080,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK11,X0) ),
inference(superposition,[status(thm)],[c_196532,c_180]) ).
tcf(c_199081,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196532,c_176]) ).
tcf(c_199083,plain,
sdtasdt0(sz10,sK20(sz10,sK11)) = sK11,
inference(forward_subsumption_resolution,[status(thm)],[c_199081,c_96,c_155]) ).
tcf(c_199084,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199080,c_96,c_155]) ).
tcf(c_199088,plain,
sdtasdt0(sz10,sdtsldt0(sK11,sz10)) = sK11,
inference(forward_subsumption_resolution,[status(thm)],[c_199078,c_156,c_96,c_155]) ).
tcf(c_199099,plain,
( doDivides0(sz10,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191085,c_272]) ).
tcf(c_199101,plain,
( sdtlseqdt0(sz10,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191085,c_137]) ).
tcf(c_199102,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_145]) ).
tcf(c_199103,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK12) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_146]) ).
tcf(c_199104,plain,
doDivides0(sz10,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_199099,c_104,c_155]) ).
tcf(c_199105,plain,
( sdtlseqdt0(sz10,sK12)
| ( sz00 = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199101,c_104,c_155]) ).
tcf(c_199108,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK12) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199103,c_104,c_155]) ).
tcf(c_199113,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199102,c_156,c_104,c_155]) ).
tcf(c_199119,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK12,sz10)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199104,c_199]) ).
tcf(c_199121,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK12,X0) ),
inference(superposition,[status(thm)],[c_199104,c_180]) ).
tcf(c_199122,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199104,c_176]) ).
tcf(c_199124,plain,
sdtasdt0(sz10,sK20(sz10,sK12)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_199122,c_104,c_155]) ).
tcf(c_199125,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199121,c_104,c_155]) ).
tcf(c_199129,plain,
sdtasdt0(sz10,sdtsldt0(sK12,sz10)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_199119,c_156,c_104,c_155]) ).
tcf(c_199146,plain,
( doDivides0(sz10,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191086,c_272]) ).
tcf(c_199148,plain,
( sdtlseqdt0(sz10,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191086,c_137]) ).
tcf(c_199149,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_145]) ).
tcf(c_199150,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_146]) ).
tcf(c_199151,plain,
doDivides0(sz10,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_199146,c_106,c_155]) ).
tcf(c_199152,plain,
( sdtlseqdt0(sz10,sK13)
| ( sz00 = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199148,c_106,c_155]) ).
tcf(c_199155,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK13) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199150,c_106,c_155]) ).
tcf(c_199160,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199149,c_156,c_106,c_155]) ).
tcf(c_199206,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK13,sz10)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199151,c_199]) ).
tcf(c_199208,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK13,X0) ),
inference(superposition,[status(thm)],[c_199151,c_180]) ).
tcf(c_199209,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199151,c_176]) ).
tcf(c_199211,plain,
sdtasdt0(sz10,sK20(sz10,sK13)) = sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_199209,c_106,c_155]) ).
tcf(c_199212,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199208,c_106,c_155]) ).
tcf(c_199216,plain,
sdtasdt0(sz10,sdtsldt0(sK13,sz10)) = sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_199206,c_156,c_106,c_155]) ).
tcf(c_199222,plain,
( doDivides0(sz10,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191087,c_272]) ).
tcf(c_199224,plain,
( sdtlseqdt0(sz10,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191087,c_137]) ).
tcf(c_199225,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_145]) ).
tcf(c_199226,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK14) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_146]) ).
tcf(c_199227,plain,
doDivides0(sz10,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_199222,c_110,c_155]) ).
tcf(c_199228,plain,
( sdtlseqdt0(sz10,sK14)
| ( sz00 = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199224,c_110,c_155]) ).
tcf(c_199231,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK14) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199226,c_110,c_155]) ).
tcf(c_199236,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199225,c_156,c_110,c_155]) ).
tcf(c_199273,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK14,sz10)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199227,c_199]) ).
tcf(c_199275,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK14,X0) ),
inference(superposition,[status(thm)],[c_199227,c_180]) ).
tcf(c_199276,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199227,c_176]) ).
tcf(c_199278,plain,
sdtasdt0(sz10,sK20(sz10,sK14)) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_199276,c_110,c_155]) ).
tcf(c_199279,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199275,c_110,c_155]) ).
tcf(c_199283,plain,
sdtasdt0(sz10,sdtsldt0(sK14,sz10)) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_199273,c_156,c_110,c_155]) ).
tcf(c_199357,plain,
( doDivides0(sz10,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191090,c_272]) ).
tcf(c_199359,plain,
( sdtlseqdt0(sz10,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191090,c_137]) ).
tcf(c_199360,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_145]) ).
tcf(c_199361,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_146]) ).
tcf(c_199362,plain,
doDivides0(sz10,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_199357,c_119,c_155]) ).
tcf(c_199363,plain,
( sdtlseqdt0(sz10,sK17)
| ( sz00 = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199359,c_119,c_155]) ).
tcf(c_199366,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK17) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199361,c_119,c_155]) ).
tcf(c_199371,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199360,c_156,c_119,c_155]) ).
tcf(c_199375,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK17,sz10)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199362,c_199]) ).
tcf(c_199377,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK17,X0) ),
inference(superposition,[status(thm)],[c_199362,c_180]) ).
tcf(c_199378,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199362,c_176]) ).
tcf(c_199380,plain,
sdtasdt0(sz10,sK20(sz10,sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_199378,c_119,c_155]) ).
tcf(c_199381,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199377,c_119,c_155]) ).
tcf(c_199385,plain,
sdtasdt0(sz10,sdtsldt0(sK17,sz10)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_199375,c_156,c_119,c_155]) ).
tcf(c_199393,plain,
( doDivides0(sz10,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191092,c_272]) ).
tcf(c_199395,plain,
( sdtlseqdt0(sz10,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_191092,c_137]) ).
tcf(c_199396,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_145]) ).
tcf(c_199397,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK18) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_146]) ).
tcf(c_199398,plain,
doDivides0(sz10,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_199393,c_127,c_155]) ).
tcf(c_199399,plain,
( sdtlseqdt0(sz10,sK18)
| ( sz00 = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199395,c_127,c_155]) ).
tcf(c_199402,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK18) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199397,c_127,c_155]) ).
tcf(c_199407,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199396,c_156,c_127,c_155]) ).
tcf(c_199419,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK18,sz10)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199398,c_199]) ).
tcf(c_199421,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK18,X0) ),
inference(superposition,[status(thm)],[c_199398,c_180]) ).
tcf(c_199422,plain,
( ( sdtasdt0(sz10,sK20(sz10,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199398,c_176]) ).
tcf(c_199424,plain,
sdtasdt0(sz10,sK20(sz10,sK18)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_199422,c_127,c_155]) ).
tcf(c_199425,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199421,c_127,c_155]) ).
tcf(c_199429,plain,
sdtasdt0(sz10,sdtsldt0(sK18,sz10)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_199419,c_156,c_127,c_155]) ).
tcf(c_199435,plain,
( doDivides0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191091,c_272]) ).
tcf(c_199437,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191091,c_137]) ).
tcf(c_199438,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_145]) ).
tcf(c_199439,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_146]) ).
tcf(c_199440,plain,
doDivides0(sz10,sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_199435,c_155,c_125]) ).
tcf(c_199441,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199437,c_155,c_125]) ).
tcf(c_199444,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199438,c_156,c_155,c_125]) ).
tcf(c_199448,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199439,c_155,c_125]) ).
tcf(c_199479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_74,c_139]) ).
tcf(c_199480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_89,c_139]) ).
tcf(c_199481,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_97,c_139]) ).
tcf(c_199482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_107,c_139]) ).
tcf(c_199484,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_120,c_139]) ).
tcf(c_199485,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_126,c_139]) ).
tcf(c_199486,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190929,c_139]) ).
tcf(c_199490,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190916,c_139]) ).
tcf(c_199491,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190915,c_139]) ).
tcf(c_199492,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190914,c_139]) ).
tcf(c_199493,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190912,c_139]) ).
tcf(c_199494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190911,c_139]) ).
tcf(c_199495,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190910,c_139]) ).
tcf(c_199496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190917,c_139]) ).
tcf(c_199497,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190918,c_139]) ).
tcf(c_199498,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190919,c_139]) ).
tcf(c_199499,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190920,c_139]) ).
tcf(c_199500,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190921,c_139]) ).
tcf(c_199501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190922,c_139]) ).
tcf(c_199502,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190925,c_139]) ).
tcf(c_199503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190927,c_139]) ).
tcf(c_199504,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190926,c_139]) ).
tcf(c_199505,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191042,c_139]) ).
tcf(c_199521,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191043,c_139]) ).
tcf(c_199522,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191044,c_139]) ).
tcf(c_199523,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191046,c_139]) ).
tcf(c_199524,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191047,c_139]) ).
tcf(c_199525,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191048,c_139]) ).
tcf(c_199526,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191049,c_139]) ).
tcf(c_199527,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191050,c_139]) ).
tcf(c_199528,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191051,c_139]) ).
tcf(c_199529,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191052,c_139]) ).
tcf(c_199530,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191053,c_139]) ).
tcf(c_199531,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191054,c_139]) ).
tcf(c_199532,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191057,c_139]) ).
tcf(c_199533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191058,c_139]) ).
tcf(c_199534,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191059,c_139]) ).
tcf(c_199535,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191061,c_139]) ).
tcf(c_199536,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_191077,c_139]) ).
tcf(c_199537,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_191075,c_139]) ).
tcf(c_199538,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_191076,c_139]) ).
tcf(c_199539,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_191079,c_139]) ).
tcf(c_199540,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_191080,c_139]) ).
tcf(c_199541,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_191081,c_139]) ).
tcf(c_199542,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_191082,c_139]) ).
tcf(c_199543,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_191083,c_139]) ).
tcf(c_199544,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_191084,c_139]) ).
tcf(c_199545,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_191085,c_139]) ).
tcf(c_199546,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_191086,c_139]) ).
tcf(c_199547,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_191087,c_139]) ).
tcf(c_199548,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_191090,c_139]) ).
tcf(c_199549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_191091,c_139]) ).
tcf(c_199550,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_191092,c_139]) ).
tcf(c_199551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( xp = sz00 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_74,c_139]) ).
tcf(c_199552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( xp = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_89,c_139]) ).
tcf(c_199553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( sz00 = xr )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_97,c_139]) ).
tcf(c_199554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( sz00 = xr )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_107,c_139]) ).
tcf(c_199556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_120,c_139]) ).
tcf(c_199557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_139]) ).
tcf(c_199558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190929,c_139]) ).
tcf(c_199562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190916,c_139]) ).
tcf(c_199563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190915,c_139]) ).
tcf(c_199564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190914,c_139]) ).
tcf(c_199565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190912,c_139]) ).
tcf(c_199566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190911,c_139]) ).
tcf(c_199567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190910,c_139]) ).
tcf(c_199568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190917,c_139]) ).
tcf(c_199569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190918,c_139]) ).
tcf(c_199570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190919,c_139]) ).
tcf(c_199571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190920,c_139]) ).
tcf(c_199572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190921,c_139]) ).
tcf(c_199573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190922,c_139]) ).
tcf(c_199574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190925,c_139]) ).
tcf(c_199575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190927,c_139]) ).
tcf(c_199576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190926,c_139]) ).
tcf(c_199577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191042,c_139]) ).
tcf(c_199593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191043,c_139]) ).
tcf(c_199594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191044,c_139]) ).
tcf(c_199595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191046,c_139]) ).
tcf(c_199596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191047,c_139]) ).
tcf(c_199597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191048,c_139]) ).
tcf(c_199598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191049,c_139]) ).
tcf(c_199599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191050,c_139]) ).
tcf(c_199600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191051,c_139]) ).
tcf(c_199601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191052,c_139]) ).
tcf(c_199602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191053,c_139]) ).
tcf(c_199603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191054,c_139]) ).
tcf(c_199604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191057,c_139]) ).
tcf(c_199605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191058,c_139]) ).
tcf(c_199606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191059,c_139]) ).
tcf(c_199607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191061,c_139]) ).
tcf(c_199608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_191077,c_139]) ).
tcf(c_199609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_191075,c_139]) ).
tcf(c_199610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_191076,c_139]) ).
tcf(c_199611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_191079,c_139]) ).
tcf(c_199612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_191080,c_139]) ).
tcf(c_199613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_191081,c_139]) ).
tcf(c_199614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_191082,c_139]) ).
tcf(c_199615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_191083,c_139]) ).
tcf(c_199616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_191084,c_139]) ).
tcf(c_199617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_191085,c_139]) ).
tcf(c_199618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_191086,c_139]) ).
tcf(c_199619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_191087,c_139]) ).
tcf(c_199620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_191090,c_139]) ).
tcf(c_199621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191091,c_139]) ).
tcf(c_199622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_191092,c_139]) ).
tcf(c_199623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(superposition,[status(thm)],[c_139,c_194]) ).
tcf(c_199624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK19(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_139,c_165]) ).
tcf(c_199625,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_139,c_173]) ).
tcf(c_199626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X3))
| ( X2 = X3 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_139,c_193]) ).
tcf(c_199627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199607,c_156,c_155]) ).
tcf(c_199632,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199535,c_156,c_155]) ).
tcf(c_199637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199622,c_156,c_127,c_155]) ).
tcf(c_199642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199620,c_156,c_119,c_155]) ).
tcf(c_199647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199619,c_156,c_110,c_155]) ).
tcf(c_199652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199618,c_156,c_106,c_155]) ).
tcf(c_199657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199617,c_156,c_104,c_155]) ).
tcf(c_199662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199616,c_156,c_96,c_155]) ).
tcf(c_199667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199615,c_156,c_95,c_155]) ).
tcf(c_199672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199614,c_156,c_88,c_155]) ).
tcf(c_199677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199613,c_156,c_85,c_155]) ).
tcf(c_199682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199612,c_156,c_81,c_155]) ).
tcf(c_199687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199611,c_156,c_73,c_155]) ).
tcf(c_199692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199610,c_156,c_155,c_50]) ).
tcf(c_199697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199609,c_156,c_155,c_49]) ).
tcf(c_199702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199608,c_156,c_155,c_51]) ).
tcf(c_199707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199606,c_127,c_155]) ).
tcf(c_199713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199604,c_119,c_155]) ).
tcf(c_199719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199603,c_110,c_155]) ).
tcf(c_199725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199602,c_106,c_155]) ).
tcf(c_199731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199601,c_104,c_155]) ).
tcf(c_199737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199600,c_96,c_155]) ).
tcf(c_199743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199599,c_99,c_95,c_155]) ).
tcf(c_199748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199598,c_93,c_88,c_155]) ).
tcf(c_199753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199597,c_85,c_155]) ).
tcf(c_199759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199596,c_81,c_155]) ).
tcf(c_199765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199595,c_73,c_155]) ).
tcf(c_199771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199594,c_68,c_155,c_51]) ).
tcf(c_199776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199593,c_155,c_50]) ).
tcf(c_199782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199577,c_155,c_49]) ).
tcf(c_199788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199575,c_127,c_151]) ).
tcf(c_199794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199574,c_119,c_151]) ).
tcf(c_199800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199573,c_110,c_151]) ).
tcf(c_199806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199572,c_106,c_151]) ).
tcf(c_199812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199571,c_104,c_151]) ).
tcf(c_199818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199570,c_96,c_151]) ).
tcf(c_199824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199569,c_99,c_95,c_151]) ).
tcf(c_199829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199568,c_93,c_88,c_151]) ).
tcf(c_199834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199567,c_151,c_49]) ).
tcf(c_199840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199566,c_151,c_50]) ).
tcf(c_199846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199565,c_68,c_151,c_51]) ).
tcf(c_199851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199564,c_73,c_151]) ).
tcf(c_199857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199563,c_81,c_151]) ).
tcf(c_199863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199562,c_85,c_151]) ).
tcf(c_199869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199558,c_156,c_155,c_151]) ).
tcf(c_199874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199556,c_99,c_119,c_95]) ).
tcf(c_199879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199553,c_99,c_96,c_95]) ).
tcf(c_199884,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199550,c_156,c_127,c_155]) ).
tcf(c_199889,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199548,c_156,c_119,c_155]) ).
tcf(c_199894,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199547,c_156,c_110,c_155]) ).
tcf(c_199899,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199546,c_156,c_106,c_155]) ).
tcf(c_199904,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199545,c_156,c_104,c_155]) ).
tcf(c_199909,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199544,c_156,c_96,c_155]) ).
tcf(c_199914,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199543,c_156,c_95,c_155]) ).
tcf(c_199919,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199542,c_156,c_88,c_155]) ).
tcf(c_199924,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199541,c_156,c_85,c_155]) ).
tcf(c_199929,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199540,c_156,c_81,c_155]) ).
tcf(c_199934,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199539,c_156,c_73,c_155]) ).
tcf(c_199939,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199538,c_156,c_155,c_50]) ).
tcf(c_199944,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199537,c_156,c_155,c_49]) ).
tcf(c_199949,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199536,c_156,c_155,c_51]) ).
tcf(c_199954,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199534,c_127,c_155]) ).
tcf(c_199960,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199532,c_119,c_155]) ).
tcf(c_199966,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199531,c_110,c_155]) ).
tcf(c_199972,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199530,c_106,c_155]) ).
tcf(c_199978,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199529,c_104,c_155]) ).
tcf(c_199984,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199528,c_96,c_155]) ).
tcf(c_199990,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199527,c_99,c_95,c_155]) ).
tcf(c_199995,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199526,c_93,c_88,c_155]) ).
tcf(c_200000,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199525,c_85,c_155]) ).
tcf(c_200006,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199524,c_81,c_155]) ).
tcf(c_200012,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199523,c_73,c_155]) ).
tcf(c_200018,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199522,c_68,c_155,c_51]) ).
tcf(c_200023,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199521,c_155,c_50]) ).
tcf(c_200029,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199505,c_155,c_49]) ).
tcf(c_200035,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199503,c_127,c_151]) ).
tcf(c_200041,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199502,c_119,c_151]) ).
tcf(c_200047,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199501,c_110,c_151]) ).
tcf(c_200053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199500,c_106,c_151]) ).
tcf(c_200059,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199499,c_104,c_151]) ).
tcf(c_200065,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199498,c_96,c_151]) ).
tcf(c_200071,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199497,c_99,c_95,c_151]) ).
tcf(c_200076,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199496,c_93,c_88,c_151]) ).
tcf(c_200081,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199495,c_151,c_49]) ).
tcf(c_200087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199494,c_151,c_50]) ).
tcf(c_200093,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199493,c_68,c_151,c_51]) ).
tcf(c_200098,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199492,c_73,c_151]) ).
tcf(c_200104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199491,c_81,c_151]) ).
tcf(c_200110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199490,c_85,c_151]) ).
tcf(c_200116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199486,c_156,c_155,c_151]) ).
tcf(c_200121,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199484,c_99,c_119,c_95]) ).
tcf(c_200126,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199481,c_99,c_96,c_95]) ).
tcf(c_200131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199554,c_99,c_106,c_95]) ).
tcf(c_200136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199552,c_68,c_88,c_51]) ).
tcf(c_200141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199551,c_68,c_73,c_51]) ).
tcf(c_200146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199482,c_99,c_106,c_95]) ).
tcf(c_200151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199480,c_68,c_88,c_51]) ).
tcf(c_200156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199479,c_68,c_73,c_51]) ).
tcf(c_200161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199576,c_151,c_125]) ).
tcf(c_200167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199557,c_99,c_95,c_125]) ).
tcf(c_200179,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199504,c_151,c_125]) ).
tcf(c_200185,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199485,c_99,c_95,c_125]) ).
tcf(c_200197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199621,c_156,c_155,c_125]) ).
tcf(c_200202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199605,c_155,c_125]) ).
tcf(c_200208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199549,c_156,c_155,c_125]) ).
tcf(c_200213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199533,c_155,c_125]) ).
tcf(c_200584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_74,c_141]) ).
tcf(c_200585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xk))
| ( sz00 = xk )
| ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_89,c_141]) ).
tcf(c_200586,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_97,c_141]) ).
tcf(c_200587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_107,c_141]) ).
tcf(c_200589,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_120,c_141]) ).
tcf(c_200590,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_141]) ).
tcf(c_200592,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190962,c_141]) ).
tcf(c_200610,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_191042,c_141]) ).
tcf(c_200611,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190943,c_141]) ).
tcf(c_200612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190944,c_141]) ).
tcf(c_200613,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190945,c_141]) ).
tcf(c_200614,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190947,c_141]) ).
tcf(c_200615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9))
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190948,c_141]) ).
tcf(c_200616,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK10))
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190949,c_141]) ).
tcf(c_200617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xk))
| ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190950,c_141]) ).
tcf(c_200618,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190951,c_141]) ).
tcf(c_200619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190952,c_141]) ).
tcf(c_200620,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK12))
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190953,c_141]) ).
tcf(c_200621,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190954,c_141]) ).
tcf(c_200622,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK14))
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190955,c_141]) ).
tcf(c_200623,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190958,c_141]) ).
tcf(c_200624,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190959,c_141]) ).
tcf(c_200625,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK18))
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_190960,c_141]) ).
tcf(c_200626,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_191043,c_141]) ).
tcf(c_200627,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_191044,c_141]) ).
tcf(c_200628,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_191046,c_141]) ).
tcf(c_200629,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_191047,c_141]) ).
tcf(c_200630,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_191048,c_141]) ).
tcf(c_200631,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_191049,c_141]) ).
tcf(c_200632,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_191050,c_141]) ).
tcf(c_200633,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_191051,c_141]) ).
tcf(c_200634,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_191052,c_141]) ).
tcf(c_200635,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_191053,c_141]) ).
tcf(c_200636,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_191054,c_141]) ).
tcf(c_200637,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_191057,c_141]) ).
tcf(c_200638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_191058,c_141]) ).
tcf(c_200639,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_191059,c_141]) ).
tcf(c_200640,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191061,c_141]) ).
tcf(c_200641,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191077,c_141]) ).
tcf(c_200642,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191075,c_141]) ).
tcf(c_200643,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191076,c_141]) ).
tcf(c_200644,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191079,c_141]) ).
tcf(c_200645,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK9))
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191080,c_141]) ).
tcf(c_200646,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK10))
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191081,c_141]) ).
tcf(c_200647,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,xk))
| ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191082,c_141]) ).
tcf(c_200648,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191083,c_141]) ).
tcf(c_200649,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191084,c_141]) ).
tcf(c_200650,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK12))
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191085,c_141]) ).
tcf(c_200651,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191086,c_141]) ).
tcf(c_200652,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK14))
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191087,c_141]) ).
tcf(c_200653,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191090,c_141]) ).
tcf(c_200654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191091,c_141]) ).
tcf(c_200655,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK18))
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_191092,c_141]) ).
tcf(c_200656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sdtasdt0(xn,xm))
| ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_74,c_141]) ).
tcf(c_200657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xn,xm))
| ( sz00 = xk )
| ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_89,c_141]) ).
tcf(c_200658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),xk)
| ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_97,c_141]) ).
tcf(c_200659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sdtasdt0(xn,xm))
| ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_107,c_141]) ).
tcf(c_200661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),xn)
| ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_120,c_141]) ).
tcf(c_200662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),xn)
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_141]) ).
tcf(c_200664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190962,c_141]) ).
tcf(c_200682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_191042,c_141]) ).
tcf(c_200683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190943,c_141]) ).
tcf(c_200684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190944,c_141]) ).
tcf(c_200685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190945,c_141]) ).
tcf(c_200686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sz00)
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190947,c_141]) ).
tcf(c_200687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9),sz00)
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190948,c_141]) ).
tcf(c_200688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK10),sz00)
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190949,c_141]) ).
tcf(c_200689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sz00)
| ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190950,c_141]) ).
tcf(c_200690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190951,c_141]) ).
tcf(c_200691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),sz00)
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190952,c_141]) ).
tcf(c_200692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK12),sz00)
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190953,c_141]) ).
tcf(c_200693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sz00)
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190954,c_141]) ).
tcf(c_200694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK14),sz00)
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190955,c_141]) ).
tcf(c_200695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),sz00)
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190958,c_141]) ).
tcf(c_200696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_190959,c_141]) ).
tcf(c_200697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK18),sz00)
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_190960,c_141]) ).
tcf(c_200698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_191043,c_141]) ).
tcf(c_200699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_191044,c_141]) ).
tcf(c_200700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK8)
| ( sz00 = sz10 )
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_191046,c_141]) ).
tcf(c_200701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK9)
| ( sz00 = sz10 )
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_191047,c_141]) ).
tcf(c_200702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK10)
| ( sz00 = sz10 )
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_191048,c_141]) ).
tcf(c_200703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xk)
| ( sz00 = sz10 )
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_191049,c_141]) ).
tcf(c_200704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_191050,c_141]) ).
tcf(c_200705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK11)
| ( sz00 = sz10 )
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_191051,c_141]) ).
tcf(c_200706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK12)
| ( sz00 = sz10 )
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_191052,c_141]) ).
tcf(c_200707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK13)
| ( sz00 = sz10 )
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_191053,c_141]) ).
tcf(c_200708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK14)
| ( sz00 = sz10 )
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_191054,c_141]) ).
tcf(c_200709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK17)
| ( sz00 = sz10 )
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_191057,c_141]) ).
tcf(c_200710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191058,c_141]) ).
tcf(c_200711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK18)
| ( sz00 = sz10 )
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_191059,c_141]) ).
tcf(c_200712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191061,c_141]) ).
tcf(c_200713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191077,c_141]) ).
tcf(c_200714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191075,c_141]) ).
tcf(c_200715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191076,c_141]) ).
tcf(c_200716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sK8)
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191079,c_141]) ).
tcf(c_200717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9),sK9)
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191080,c_141]) ).
tcf(c_200718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK10),sK10)
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191081,c_141]) ).
tcf(c_200719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),xk)
| ( sz00 = xk )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191082,c_141]) ).
tcf(c_200720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191083,c_141]) ).
tcf(c_200721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),sK11)
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191084,c_141]) ).
tcf(c_200722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK12),sK12)
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191085,c_141]) ).
tcf(c_200723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sK13)
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191086,c_141]) ).
tcf(c_200724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK14),sK14)
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191087,c_141]) ).
tcf(c_200725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),sK17)
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191090,c_141]) ).
tcf(c_200726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_191091,c_141]) ).
tcf(c_200727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK18),sK18)
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_191092,c_141]) ).
tcf(c_200728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) ),
inference(superposition,[status(thm)],[c_141,c_194]) ).
tcf(c_200729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK19(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_141,c_165]) ).
tcf(c_200730,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_141,c_173]) ).
tcf(c_200731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X3,X2))
| ( X2 = sz00 )
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtasdt0(X3,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_141,c_193]) ).
tcf(c_200732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200712,c_156,c_155]) ).
tcf(c_200737,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200640,c_156,c_155]) ).
tcf(c_200742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK18),sK18)
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200727,c_127,c_155]) ).
tcf(c_200748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),sK17)
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200725,c_119,c_155]) ).
tcf(c_200754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK14),sK14)
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200724,c_110,c_155]) ).
tcf(c_200760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sK13)
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200723,c_106,c_155]) ).
tcf(c_200766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK12),sK12)
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200722,c_104,c_155]) ).
tcf(c_200772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),sK11)
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200721,c_96,c_155]) ).
tcf(c_200778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200720,c_99,c_95,c_155]) ).
tcf(c_200783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200719,c_93,c_88,c_155]) ).
tcf(c_200788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK10),sK10)
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200718,c_85,c_155]) ).
tcf(c_200794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9),sK9)
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200717,c_81,c_155]) ).
tcf(c_200800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sK8)
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200716,c_73,c_155]) ).
tcf(c_200806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200715,c_155,c_50]) ).
tcf(c_200812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200714,c_155,c_49]) ).
tcf(c_200818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200713,c_68,c_155,c_51]) ).
tcf(c_200823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200711,c_156,c_127,c_155]) ).
tcf(c_200828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200709,c_156,c_119,c_155]) ).
tcf(c_200833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200708,c_156,c_110,c_155]) ).
tcf(c_200838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200707,c_156,c_106,c_155]) ).
tcf(c_200843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200706,c_156,c_104,c_155]) ).
tcf(c_200848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200705,c_156,c_96,c_155]) ).
tcf(c_200853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200704,c_156,c_95,c_155]) ).
tcf(c_200858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200703,c_156,c_88,c_155]) ).
tcf(c_200863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200702,c_156,c_85,c_155]) ).
tcf(c_200868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200701,c_156,c_81,c_155]) ).
tcf(c_200873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200700,c_156,c_73,c_155]) ).
tcf(c_200878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200699,c_156,c_155,c_51]) ).
tcf(c_200883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200698,c_156,c_155,c_50]) ).
tcf(c_200888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK18),sz00)
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200697,c_127,c_151]) ).
tcf(c_200894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),sz00)
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200695,c_119,c_151]) ).
tcf(c_200900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK14),sz00)
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200694,c_110,c_151]) ).
tcf(c_200906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sz00)
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200693,c_106,c_151]) ).
tcf(c_200912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK12),sz00)
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200692,c_104,c_151]) ).
tcf(c_200918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),sz00)
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200691,c_96,c_151]) ).
tcf(c_200924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200690,c_99,c_95,c_151]) ).
tcf(c_200929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200689,c_93,c_88,c_151]) ).
tcf(c_200934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK10),sz00)
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200688,c_85,c_151]) ).
tcf(c_200940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9),sz00)
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200687,c_81,c_151]) ).
tcf(c_200946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sz00)
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200686,c_73,c_151]) ).
tcf(c_200952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200685,c_68,c_151,c_51]) ).
tcf(c_200957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200684,c_151,c_50]) ).
tcf(c_200963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200683,c_151,c_49]) ).
tcf(c_200969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200682,c_156,c_155,c_49]) ).
tcf(c_200974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200664,c_156,c_155,c_151]) ).
tcf(c_200979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK17),xn)
| ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200661,c_119,c_95]) ).
tcf(c_200985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK11),xk)
| ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200658,c_96,c_95]) ).
tcf(c_200991,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK18))
| ( sz00 = sK18 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200655,c_127,c_155]) ).
tcf(c_200997,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200653,c_119,c_155]) ).
tcf(c_201003,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK14))
| ( sz00 = sK14 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200652,c_110,c_155]) ).
tcf(c_201009,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200651,c_106,c_155]) ).
tcf(c_201015,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK12))
| ( sz00 = sK12 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200650,c_104,c_155]) ).
tcf(c_201021,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200649,c_96,c_155]) ).
tcf(c_201027,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200648,c_99,c_95,c_155]) ).
tcf(c_201032,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200647,c_93,c_88,c_155]) ).
tcf(c_201037,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK10))
| ( sz00 = sK10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200646,c_85,c_155]) ).
tcf(c_201043,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK9))
| ( sz00 = sK9 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200645,c_81,c_155]) ).
tcf(c_201049,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200644,c_73,c_155]) ).
tcf(c_201055,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200643,c_155,c_50]) ).
tcf(c_201061,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200642,c_155,c_49]) ).
tcf(c_201067,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200641,c_68,c_155,c_51]) ).
tcf(c_201072,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sz10))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200639,c_156,c_127,c_155]) ).
tcf(c_201077,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sz10))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200637,c_156,c_119,c_155]) ).
tcf(c_201082,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sz10))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200636,c_156,c_110,c_155]) ).
tcf(c_201087,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sz10))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200635,c_156,c_106,c_155]) ).
tcf(c_201092,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sz10))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200634,c_156,c_104,c_155]) ).
tcf(c_201097,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sz10))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200633,c_156,c_96,c_155]) ).
tcf(c_201102,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200632,c_156,c_95,c_155]) ).
tcf(c_201107,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sz10))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200631,c_156,c_88,c_155]) ).
tcf(c_201112,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sz10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200630,c_156,c_85,c_155]) ).
tcf(c_201117,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sz10))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200629,c_156,c_81,c_155]) ).
tcf(c_201122,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sz10))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200628,c_156,c_73,c_155]) ).
tcf(c_201127,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200627,c_156,c_155,c_51]) ).
tcf(c_201132,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200626,c_156,c_155,c_50]) ).
tcf(c_201137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK18))
| ( sz00 = sK18 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200625,c_127,c_151]) ).
tcf(c_201143,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200623,c_119,c_151]) ).
tcf(c_201149,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK14))
| ( sz00 = sK14 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200622,c_110,c_151]) ).
tcf(c_201155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200621,c_106,c_151]) ).
tcf(c_201161,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK12))
| ( sz00 = sK12 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200620,c_104,c_151]) ).
tcf(c_201167,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200619,c_96,c_151]) ).
tcf(c_201173,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200618,c_99,c_95,c_151]) ).
tcf(c_201178,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200617,c_93,c_88,c_151]) ).
tcf(c_201183,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK10))
| ( sz00 = sK10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200616,c_85,c_151]) ).
tcf(c_201189,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9))
| ( sz00 = sK9 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200615,c_81,c_151]) ).
tcf(c_201195,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200614,c_73,c_151]) ).
tcf(c_201201,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200613,c_68,c_151,c_51]) ).
tcf(c_201206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200612,c_151,c_50]) ).
tcf(c_201212,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200611,c_151,c_49]) ).
tcf(c_201218,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200610,c_156,c_155,c_49]) ).
tcf(c_201223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200592,c_156,c_155,c_151]) ).
tcf(c_201228,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK17))
| ( sz00 = sK17 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200589,c_119,c_95]) ).
tcf(c_201234,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK11))
| ( sz00 = sK11 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200586,c_96,c_95]) ).
tcf(c_201240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK13),sdtasdt0(xn,xm))
| ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200659,c_106,c_95]) ).
tcf(c_201246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xn,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200657,c_93,c_88,c_51]) ).
tcf(c_201251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8),sdtasdt0(xn,xm))
| ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200656,c_73,c_51]) ).
tcf(c_201257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK13))
| ( sz00 = sK13 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200587,c_106,c_95]) ).
tcf(c_201263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xk))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200585,c_93,c_88,c_51]) ).
tcf(c_201268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK8))
| ( sz00 = sK8 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200584,c_73,c_51]) ).
tcf(c_201274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200696,c_151,c_125]) ).
tcf(c_201280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),xn)
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200662,c_95,c_125]) ).
tcf(c_201294,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200624,c_151,c_125]) ).
tcf(c_201300,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200590,c_95,c_125]) ).
tcf(c_201314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200726,c_155,c_125]) ).
tcf(c_201320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200710,c_156,c_155,c_125]) ).
tcf(c_201325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200654,c_155,c_125]) ).
tcf(c_201331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200638,c_156,c_155,c_125]) ).
tcf(c_201848,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_75,c_196]) ).
tcf(c_201849,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_196]) ).
tcf(c_201850,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_108,c_196]) ).
tcf(c_201852,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_196]) ).
tcf(c_201853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X3,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtsldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_196]) ).
tcf(c_201854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtsldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_272,c_196]) ).
tcf(c_201855,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK21(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK21(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK21(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_182,c_196]) ).
tcf(c_201856,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK22(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK22(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK22(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(X0)) ),
inference(superposition,[status(thm)],[c_187,c_196]) ).
tcf(c_201858,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191320,c_196]) ).
tcf(c_201859,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK10)) = sdtsldt0(sdtasdt0(X0,sz00),sK10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191319,c_196]) ).
tcf(c_201860,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK9)) = sdtsldt0(sdtasdt0(X0,sz00),sK9) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191318,c_196]) ).
tcf(c_201861,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK8)) = sdtsldt0(sdtasdt0(X0,sz00),sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191317,c_196]) ).
tcf(c_201862,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191316,c_196]) ).
tcf(c_201863,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191315,c_196]) ).
tcf(c_201864,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) = sdtsldt0(sdtasdt0(X0,sz00),xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191314,c_196]) ).
tcf(c_201865,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sdtasdt0(X0,sdtsldt0(sz00,xk)) = sdtsldt0(sdtasdt0(X0,sz00),xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191313,c_196]) ).
tcf(c_201866,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191312,c_196]) ).
tcf(c_201867,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK11)) = sdtsldt0(sdtasdt0(X0,sz00),sK11) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191311,c_196]) ).
tcf(c_201868,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK12)) = sdtsldt0(sdtasdt0(X0,sz00),sK12) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191310,c_196]) ).
tcf(c_201869,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK13)) = sdtsldt0(sdtasdt0(X0,sz00),sK13) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191309,c_196]) ).
tcf(c_201870,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK14)) = sdtsldt0(sdtasdt0(X0,sz00),sK14) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191308,c_196]) ).
tcf(c_201871,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK17)) = sdtsldt0(sdtasdt0(X0,sz00),sK17) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191307,c_196]) ).
tcf(c_201872,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK18)) = sdtsldt0(sdtasdt0(X0,sz00),sK18) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_191306,c_196]) ).
tcf(c_201873,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xk,sz10)) = sdtsldt0(sdtasdt0(X0,xk),sz10) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_196412,c_196]) ).
tcf(c_201874,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_196452,c_196]) ).
tcf(c_201875,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193232,c_196]) ).
tcf(c_201876,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193239,c_196]) ).
tcf(c_201877,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193246,c_196]) ).
tcf(c_201878,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtasdt0(X0,sdtsldt0(sK8,sK8)) = sdtsldt0(sdtasdt0(X0,sK8),sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193748,c_196]) ).
tcf(c_201879,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtasdt0(X0,sdtsldt0(sK9,sK9)) = sdtsldt0(sdtasdt0(X0,sK9),sK9) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193770,c_196]) ).
tcf(c_201880,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtasdt0(X0,sdtsldt0(sK10,sK10)) = sdtsldt0(sdtasdt0(X0,sK10),sK10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193779,c_196]) ).
tcf(c_201881,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sdtasdt0(X0,sdtsldt0(xk,xk)) = sdtsldt0(sdtasdt0(X0,xk),xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193820,c_196]) ).
tcf(c_201882,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193829,c_196]) ).
tcf(c_201883,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtasdt0(X0,sdtsldt0(sK11,sK11)) = sdtsldt0(sdtasdt0(X0,sK11),sK11) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_193852,c_196]) ).
tcf(c_201884,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtasdt0(X0,sdtsldt0(sK12,sK12)) = sdtsldt0(sdtasdt0(X0,sK12),sK12) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194422,c_196]) ).
tcf(c_201885,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtasdt0(X0,sdtsldt0(sK13,sK13)) = sdtsldt0(sdtasdt0(X0,sK13),sK13) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194465,c_196]) ).
tcf(c_201886,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtasdt0(X0,sdtsldt0(sK14,sK14)) = sdtsldt0(sdtasdt0(X0,sK14),sK14) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194476,c_196]) ).
tcf(c_201887,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtasdt0(X0,sdtsldt0(sK17,sK17)) = sdtsldt0(sdtasdt0(X0,sK17),sK17) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194494,c_196]) ).
tcf(c_201888,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtasdt0(X0,sdtsldt0(sK18,sK18)) = sdtsldt0(sdtasdt0(X0,sK18),sK18) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194538,c_196]) ).
tcf(c_201889,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_194549,c_196]) ).
tcf(c_201890,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195348,c_196]) ).
tcf(c_201891,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195367,c_196]) ).
tcf(c_201892,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195386,c_196]) ).
tcf(c_201893,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK8,sz10)) = sdtsldt0(sdtasdt0(X0,sK8),sz10) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195417,c_196]) ).
tcf(c_201894,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK9,sz10)) = sdtsldt0(sdtasdt0(X0,sK9),sz10) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_195436,c_196]) ).
tcf(c_201895,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK10,sz10)) = sdtsldt0(sdtasdt0(X0,sK10),sz10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_196391,c_196]) ).
tcf(c_201896,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK11,sz10)) = sdtsldt0(sdtasdt0(X0,sK11),sz10) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_196532,c_196]) ).
tcf(c_201897,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK12,sz10)) = sdtsldt0(sdtasdt0(X0,sK12),sz10) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_199104,c_196]) ).
tcf(c_201898,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK13,sz10)) = sdtsldt0(sdtasdt0(X0,sK13),sz10) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_199151,c_196]) ).
tcf(c_201899,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK14,sz10)) = sdtsldt0(sdtasdt0(X0,sK14),sz10) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_199227,c_196]) ).
tcf(c_201900,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK17,sz10)) = sdtsldt0(sdtasdt0(X0,sK17),sz10) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_199362,c_196]) ).
tcf(c_201901,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sK18,sz10)) = sdtsldt0(sdtasdt0(X0,sK18),sz10) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_199398,c_196]) ).
tcf(c_201902,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_192493,c_196]) ).
tcf(c_201903,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201889,c_156,c_155]) ).
tcf(c_201906,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtasdt0(X0,sdtsldt0(sK18,sK18)) = sdtsldt0(sdtasdt0(X0,sK18),sK18) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201888,c_127]) ).
tcf(c_201910,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtasdt0(X0,sdtsldt0(sK17,sK17)) = sdtsldt0(sdtasdt0(X0,sK17),sK17) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201887,c_119]) ).
tcf(c_201914,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtasdt0(X0,sdtsldt0(sK14,sK14)) = sdtsldt0(sdtasdt0(X0,sK14),sK14) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201886,c_110]) ).
tcf(c_201918,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtasdt0(X0,sdtsldt0(sK13,sK13)) = sdtsldt0(sdtasdt0(X0,sK13),sK13) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201885,c_106]) ).
tcf(c_201922,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtasdt0(X0,sdtsldt0(sK12,sK12)) = sdtsldt0(sdtasdt0(X0,sK12),sK12) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201884,c_104]) ).
tcf(c_201926,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtasdt0(X0,sdtsldt0(sK11,sK11)) = sdtsldt0(sdtasdt0(X0,sK11),sK11) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201883,c_96]) ).
tcf(c_201930,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201882,c_99,c_95]) ).
tcf(c_201933,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xk,xk)) = sdtsldt0(sdtasdt0(X0,xk),xk) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201881,c_93,c_88]) ).
tcf(c_201936,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtasdt0(X0,sdtsldt0(sK10,sK10)) = sdtsldt0(sdtasdt0(X0,sK10),sK10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201880,c_85]) ).
tcf(c_201940,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtasdt0(X0,sdtsldt0(sK9,sK9)) = sdtsldt0(sdtasdt0(X0,sK9),sK9) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201879,c_81]) ).
tcf(c_201944,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtasdt0(X0,sdtsldt0(sK8,sK8)) = sdtsldt0(sdtasdt0(X0,sK8),sK8) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201878,c_73]) ).
tcf(c_201948,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201877,c_68,c_51]) ).
tcf(c_201951,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201876,c_50]) ).
tcf(c_201955,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sz10) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_201875,c_192161]) ).
tcf(c_201956,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xn),xn) = sdtasdt0(X0,sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201955,c_49]) ).
tcf(c_201960,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK18,sz10)) = sdtsldt0(sdtasdt0(X0,sK18),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201901,c_156,c_127,c_155]) ).
tcf(c_201963,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK17,sz10)) = sdtsldt0(sdtasdt0(X0,sK17),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201900,c_156,c_119,c_155]) ).
tcf(c_201966,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK14,sz10)) = sdtsldt0(sdtasdt0(X0,sK14),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201899,c_156,c_110,c_155]) ).
tcf(c_201969,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK13,sz10)) = sdtsldt0(sdtasdt0(X0,sK13),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201898,c_156,c_106,c_155]) ).
tcf(c_201972,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK12,sz10)) = sdtsldt0(sdtasdt0(X0,sK12),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201897,c_156,c_104,c_155]) ).
tcf(c_201975,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK11,sz10)) = sdtsldt0(sdtasdt0(X0,sK11),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201896,c_156,c_96,c_155]) ).
tcf(c_201978,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK10,sz10)) = sdtsldt0(sdtasdt0(X0,sK10),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201895,c_156,c_85,c_155]) ).
tcf(c_201981,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK9,sz10)) = sdtsldt0(sdtasdt0(X0,sK9),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201894,c_156,c_81,c_155]) ).
tcf(c_201984,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sK8,sz10)) = sdtsldt0(sdtasdt0(X0,sK8),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201893,c_156,c_73,c_155]) ).
tcf(c_201987,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201892,c_156,c_155,c_51]) ).
tcf(c_201990,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201891,c_156,c_155,c_50]) ).
tcf(c_201993,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201890,c_156,c_155,c_49]) ).
tcf(c_201996,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201874,c_156,c_95,c_155]) ).
tcf(c_201999,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xk,sz10)) = sdtsldt0(sdtasdt0(X0,xk),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201873,c_156,c_88,c_155]) ).
tcf(c_202002,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK18)) = sdtsldt0(sdtasdt0(X0,sz00),sK18) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201872,c_127,c_151]) ).
tcf(c_202006,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK17)) = sdtsldt0(sdtasdt0(X0,sz00),sK17) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201871,c_119,c_151]) ).
tcf(c_202010,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK14)) = sdtsldt0(sdtasdt0(X0,sz00),sK14) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201870,c_110,c_151]) ).
tcf(c_202014,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK13)) = sdtsldt0(sdtasdt0(X0,sz00),sK13) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201869,c_106,c_151]) ).
tcf(c_202018,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK12)) = sdtsldt0(sdtasdt0(X0,sz00),sK12) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201868,c_104,c_151]) ).
tcf(c_202022,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK11)) = sdtsldt0(sdtasdt0(X0,sz00),sK11) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201867,c_96,c_151]) ).
tcf(c_202026,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201866,c_99,c_95,c_151]) ).
tcf(c_202029,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,xk)) = sdtsldt0(sdtasdt0(X0,sz00),xk) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201865,c_93,c_88,c_151]) ).
tcf(c_202032,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz00),xn) = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_201864,c_192006]) ).
tcf(c_202033,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz00),xn) = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202032,c_151,c_49]) ).
tcf(c_202037,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201863,c_151,c_50]) ).
tcf(c_202041,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201862,c_68,c_151,c_51]) ).
tcf(c_202044,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK8)) = sdtsldt0(sdtasdt0(X0,sz00),sK8) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201861,c_73,c_151]) ).
tcf(c_202048,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK9)) = sdtsldt0(sdtasdt0(X0,sz00),sK9) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201860,c_81,c_151]) ).
tcf(c_202052,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK10)) = sdtsldt0(sdtasdt0(X0,sz00),sK10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201859,c_85,c_151]) ).
tcf(c_202056,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201858,c_156,c_155,c_151]) ).
tcf(c_202059,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201852,c_99,c_95,c_49]) ).
tcf(c_202062,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201849,c_99,c_95,c_88]) ).
tcf(c_202069,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201850,c_99,c_95,c_191219]) ).
tcf(c_202072,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(light_normalisation,[status(thm)],[c_201848,c_90]) ).
tcf(c_202073,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202072,c_68,c_51,c_191219]) ).
tcf(c_202076,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201902,c_151,c_125]) ).
tcf(c_202338,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_82,c_67]) ).
tcf(c_202339,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_86,c_67]) ).
tcf(c_202340,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_105,c_67]) ).
tcf(c_202341,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_111,c_67]) ).
tcf(c_202342,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_67]) ).
tcf(c_202343,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190994,c_67]) ).
tcf(c_202344,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190978,c_67]) ).
tcf(c_202345,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190976,c_67]) ).
tcf(c_202346,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190977,c_67]) ).
tcf(c_202347,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,sz00))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190980,c_67]) ).
tcf(c_202348,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,sz00))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190981,c_67]) ).
tcf(c_202349,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,sz00))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190982,c_67]) ).
tcf(c_202350,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sz00))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190983,c_67]) ).
tcf(c_202351,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190984,c_67]) ).
tcf(c_202352,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,sz00))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190985,c_67]) ).
tcf(c_202353,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,sz00))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190986,c_67]) ).
tcf(c_202354,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,sz00))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190987,c_67]) ).
tcf(c_202355,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,sz00))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190988,c_67]) ).
tcf(c_202356,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,sz00))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190991,c_67]) ).
tcf(c_202357,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190992,c_67]) ).
tcf(c_202358,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,sz00))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190993,c_67]) ).
tcf(c_202359,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190995,c_67]) ).
tcf(c_202360,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191009,c_67]) ).
tcf(c_202361,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191010,c_67]) ).
tcf(c_202362,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191011,c_67]) ).
tcf(c_202363,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191013,c_67]) ).
tcf(c_202364,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191014,c_67]) ).
tcf(c_202365,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191015,c_67]) ).
tcf(c_202366,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xk))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191016,c_67]) ).
tcf(c_202367,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191017,c_67]) ).
tcf(c_202368,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191018,c_67]) ).
tcf(c_202369,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191019,c_67]) ).
tcf(c_202370,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191020,c_67]) ).
tcf(c_202371,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191021,c_67]) ).
tcf(c_202372,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191024,c_67]) ).
tcf(c_202373,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191025,c_67]) ).
tcf(c_202374,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK18,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191026,c_67]) ).
tcf(c_202375,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191028,c_67]) ).
tcf(c_202392,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202359,c_190929]) ).
tcf(c_202393,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202392,c_155,c_151]) ).
tcf(c_202400,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202358,c_190927]) ).
tcf(c_202401,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202400,c_127,c_151]) ).
tcf(c_202408,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202356,c_190925]) ).
tcf(c_202409,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202408,c_119,c_151]) ).
tcf(c_202416,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202355,c_190922]) ).
tcf(c_202417,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202416,c_110,c_151]) ).
tcf(c_202424,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202354,c_190921]) ).
tcf(c_202425,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202424,c_106,c_151]) ).
tcf(c_202432,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202353,c_190920]) ).
tcf(c_202433,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202432,c_104,c_151]) ).
tcf(c_202440,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202352,c_190919]) ).
tcf(c_202441,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202440,c_96,c_151]) ).
tcf(c_202448,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202351,c_190918]) ).
tcf(c_202449,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202448,c_95,c_151]) ).
tcf(c_202456,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202350,c_190917]) ).
tcf(c_202457,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202456,c_88,c_151]) ).
tcf(c_202464,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202349,c_190916]) ).
tcf(c_202465,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202464,c_85,c_151]) ).
tcf(c_202472,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202348,c_190915]) ).
tcf(c_202473,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202472,c_81,c_151]) ).
tcf(c_202480,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202347,c_190914]) ).
tcf(c_202481,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202480,c_73,c_151]) ).
tcf(c_202488,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202346,c_190911]) ).
tcf(c_202489,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202488,c_151,c_50]) ).
tcf(c_202496,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202345,c_190910]) ).
tcf(c_202497,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202496,c_151,c_49]) ).
tcf(c_202504,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202344,c_190912]) ).
tcf(c_202505,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202504,c_151,c_51]) ).
tcf(c_202512,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK14,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202341,c_110,c_88]) ).
tcf(c_202519,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK12,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202340,c_104,c_95]) ).
tcf(c_202526,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202339,c_85,c_50]) ).
tcf(c_202533,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202338,c_81,c_49]) ).
tcf(c_202540,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202342,c_127,c_125]) ).
tcf(c_202548,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202357,c_190926]) ).
tcf(c_202549,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202548,c_151,c_125]) ).
tcf(c_202685,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_199440,c_196]) ).
tcf(c_202686,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_199440,c_199]) ).
tcf(c_202688,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_199440,c_180]) ).
tcf(c_202689,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_199440,c_176]) ).
tcf(c_202691,plain,
sdtasdt0(sz10,sK20(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_202689,c_155,c_125]) ).
tcf(c_202692,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202688,c_155,c_125]) ).
tcf(c_202696,plain,
sdtasdt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)) = sdtsldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_202686,c_156,c_155,c_125]) ).
tcf(c_202697,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202685,c_156,c_155,c_125]) ).
tcf(c_202754,plain,
sdtlseqdt0(xr,xn),
inference(global_subsumption_just,[status(thm)],[c_192110,c_122,c_11679,c_12963,c_13032]) ).
tcf(c_202756,plain,
( ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_202754,c_194]) ).
tcf(c_202757,plain,
( ( sdtpldt0(xr,sK19(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_202754,c_165]) ).
tcf(c_202758,plain,
( iLess0(xr,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_202754,c_173]) ).
tcf(c_202759,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_202754,c_193]) ).
tcf(c_202760,plain,
( iLess0(xr,xn)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202758,c_95,c_49]) ).
tcf(c_202763,plain,
sdtpldt0(xr,sK19(xr,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_202757,c_95,c_49]) ).
tcf(c_202764,plain,
( ( xn = xr )
| ~ sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202756,c_95,c_49]) ).
tcf(c_202767,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202759,c_95,c_49]) ).
tcf(c_202786,plain,
( doDivides0(sz10,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191474,c_272]) ).
tcf(c_202788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191474,c_141]) ).
tcf(c_202789,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191474,c_137]) ).
tcf(c_202790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191474,c_141]) ).
tcf(c_202791,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_145]) ).
tcf(c_202792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_191474,c_139]) ).
tcf(c_202793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191474,c_139]) ).
tcf(c_202794,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_146]) ).
tcf(c_202795,plain,
doDivides0(sz10,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_202786,c_155,c_191219]) ).
tcf(c_202796,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202789,c_155,c_191219]) ).
tcf(c_202799,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202791,c_156,c_155,c_191219]) ).
tcf(c_202803,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202794,c_155,c_191219]) ).
tcf(c_202808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202793,c_156,c_155,c_191219]) ).
tcf(c_202813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202792,c_156,c_155,c_191219]) ).
tcf(c_202818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202790,c_155,c_191219]) ).
tcf(c_202824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202788,c_155,c_191219]) ).
tcf(c_202858,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_82,c_63]) ).
tcf(c_202859,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_86,c_63]) ).
tcf(c_202860,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_105,c_63]) ).
tcf(c_202861,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_111,c_63]) ).
tcf(c_202862,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_63]) ).
tcf(c_202863,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190994,c_63]) ).
tcf(c_202864,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190978,c_63]) ).
tcf(c_202865,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190976,c_63]) ).
tcf(c_202866,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190977,c_63]) ).
tcf(c_202867,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,sz00))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190980,c_63]) ).
tcf(c_202868,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,sz00))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190981,c_63]) ).
tcf(c_202869,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,sz00))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190982,c_63]) ).
tcf(c_202870,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sz00))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190983,c_63]) ).
tcf(c_202871,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190984,c_63]) ).
tcf(c_202872,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,sz00))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190985,c_63]) ).
tcf(c_202873,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,sz00))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190986,c_63]) ).
tcf(c_202874,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,sz00))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190987,c_63]) ).
tcf(c_202875,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,sz00))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190988,c_63]) ).
tcf(c_202876,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,sz00))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190991,c_63]) ).
tcf(c_202877,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190992,c_63]) ).
tcf(c_202878,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,sz00))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190993,c_63]) ).
tcf(c_202879,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190995,c_63]) ).
tcf(c_202880,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191009,c_63]) ).
tcf(c_202881,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191010,c_63]) ).
tcf(c_202882,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191011,c_63]) ).
tcf(c_202883,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191013,c_63]) ).
tcf(c_202884,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191014,c_63]) ).
tcf(c_202885,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191015,c_63]) ).
tcf(c_202886,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xk))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191016,c_63]) ).
tcf(c_202887,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191017,c_63]) ).
tcf(c_202888,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191018,c_63]) ).
tcf(c_202889,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191019,c_63]) ).
tcf(c_202890,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191020,c_63]) ).
tcf(c_202891,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191021,c_63]) ).
tcf(c_202892,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191024,c_63]) ).
tcf(c_202893,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191025,c_63]) ).
tcf(c_202894,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191026,c_63]) ).
tcf(c_202895,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191028,c_63]) ).
tcf(c_202896,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202863,c_190928]) ).
tcf(c_202897,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202896,c_151]) ).
tcf(c_202904,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202895,c_190962]) ).
tcf(c_202905,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202904,c_155,c_151]) ).
tcf(c_202912,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202894,c_190960]) ).
tcf(c_202913,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202912,c_127,c_151]) ).
tcf(c_202920,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202892,c_190958]) ).
tcf(c_202921,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202920,c_119,c_151]) ).
tcf(c_202928,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202891,c_190955]) ).
tcf(c_202929,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202928,c_110,c_151]) ).
tcf(c_202936,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202890,c_190954]) ).
tcf(c_202937,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202936,c_106,c_151]) ).
tcf(c_202944,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202889,c_190953]) ).
tcf(c_202945,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202944,c_104,c_151]) ).
tcf(c_202952,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202888,c_190952]) ).
tcf(c_202953,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202952,c_96,c_151]) ).
tcf(c_202960,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202887,c_190951]) ).
tcf(c_202961,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202960,c_95,c_151]) ).
tcf(c_202968,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202886,c_190950]) ).
tcf(c_202969,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202968,c_88,c_151]) ).
tcf(c_202976,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202885,c_190949]) ).
tcf(c_202977,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202976,c_85,c_151]) ).
tcf(c_202984,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202884,c_190948]) ).
tcf(c_202985,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202984,c_81,c_151]) ).
tcf(c_202992,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202883,c_190947]) ).
tcf(c_202993,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202992,c_73,c_151]) ).
tcf(c_203000,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202882,c_190945]) ).
tcf(c_203001,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203000,c_151,c_51]) ).
tcf(c_203008,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202881,c_190944]) ).
tcf(c_203009,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203008,c_151,c_50]) ).
tcf(c_203016,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202880,c_190943]) ).
tcf(c_203017,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203016,c_151,c_49]) ).
tcf(c_203024,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202879,c_190929]) ).
tcf(c_203025,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203024,c_155,c_151]) ).
tcf(c_203032,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202878,c_190927]) ).
tcf(c_203033,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203032,c_127,c_151]) ).
tcf(c_203040,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202876,c_190925]) ).
tcf(c_203041,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203040,c_119,c_151]) ).
tcf(c_203048,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202875,c_190922]) ).
tcf(c_203049,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203048,c_110,c_151]) ).
tcf(c_203056,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202874,c_190921]) ).
tcf(c_203057,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203056,c_106,c_151]) ).
tcf(c_203064,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202873,c_190920]) ).
tcf(c_203065,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203064,c_104,c_151]) ).
tcf(c_203072,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202872,c_190919]) ).
tcf(c_203073,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203072,c_96,c_151]) ).
tcf(c_203080,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202871,c_190918]) ).
tcf(c_203081,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203080,c_95,c_151]) ).
tcf(c_203088,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202870,c_190917]) ).
tcf(c_203089,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203088,c_88,c_151]) ).
tcf(c_203096,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202869,c_190916]) ).
tcf(c_203097,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203096,c_85,c_151]) ).
tcf(c_203104,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202868,c_190915]) ).
tcf(c_203105,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203104,c_81,c_151]) ).
tcf(c_203112,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202867,c_190914]) ).
tcf(c_203113,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203112,c_73,c_151]) ).
tcf(c_203120,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202866,c_190911]) ).
tcf(c_203121,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203120,c_151,c_50]) ).
tcf(c_203128,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202865,c_190910]) ).
tcf(c_203129,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203128,c_151,c_49]) ).
tcf(c_203136,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202864,c_190912]) ).
tcf(c_203137,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203136,c_151,c_51]) ).
tcf(c_203144,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202861,c_110,c_88]) ).
tcf(c_203151,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202860,c_104,c_95]) ).
tcf(c_203158,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202859,c_85,c_50]) ).
tcf(c_203165,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202858,c_81,c_49]) ).
tcf(c_203172,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202862,c_127,c_125]) ).
tcf(c_203179,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202893,c_190959]) ).
tcf(c_203180,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203179,c_151,c_125]) ).
tcf(c_203187,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_202877,c_190926]) ).
tcf(c_203188,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203187,c_151,c_125]) ).
tcf(c_203238,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_82,c_65]) ).
tcf(c_203239,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_86,c_65]) ).
tcf(c_203240,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_203241,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_111,c_65]) ).
tcf(c_203242,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_65]) ).
tcf(c_203243,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190994,c_65]) ).
tcf(c_203244,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190978,c_65]) ).
tcf(c_203245,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190976,c_65]) ).
tcf(c_203246,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190977,c_65]) ).
tcf(c_203247,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,sz00))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190980,c_65]) ).
tcf(c_203248,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,sz00))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190981,c_65]) ).
tcf(c_203249,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,sz00))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190982,c_65]) ).
tcf(c_203250,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sz00))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190983,c_65]) ).
tcf(c_203251,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190984,c_65]) ).
tcf(c_203252,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,sz00))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190985,c_65]) ).
tcf(c_203253,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,sz00))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190986,c_65]) ).
tcf(c_203254,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,sz00))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190987,c_65]) ).
tcf(c_203255,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,sz00))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190988,c_65]) ).
tcf(c_203256,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,sz00))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190991,c_65]) ).
tcf(c_203257,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190992,c_65]) ).
tcf(c_203258,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,sz00))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190993,c_65]) ).
tcf(c_203259,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_190995,c_65]) ).
tcf(c_203260,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191009,c_65]) ).
tcf(c_203261,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191010,c_65]) ).
tcf(c_203262,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191011,c_65]) ).
tcf(c_203263,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191013,c_65]) ).
tcf(c_203264,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191014,c_65]) ).
tcf(c_203265,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191015,c_65]) ).
tcf(c_203266,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xk))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191016,c_65]) ).
tcf(c_203267,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191017,c_65]) ).
tcf(c_203268,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191018,c_65]) ).
tcf(c_203269,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191019,c_65]) ).
tcf(c_203270,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191020,c_65]) ).
tcf(c_203271,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191021,c_65]) ).
tcf(c_203272,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191024,c_65]) ).
tcf(c_203273,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191025,c_65]) ).
tcf(c_203274,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191026,c_65]) ).
tcf(c_203275,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191028,c_65]) ).
tcf(c_203276,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203243,c_190928]) ).
tcf(c_203277,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203276,c_151]) ).
tcf(c_203284,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203275,c_190962]) ).
tcf(c_203285,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203284,c_155,c_151]) ).
tcf(c_203292,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203274,c_190960]) ).
tcf(c_203293,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203292,c_127,c_151]) ).
tcf(c_203300,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203272,c_190958]) ).
tcf(c_203301,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203300,c_119,c_151]) ).
tcf(c_203308,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203271,c_190955]) ).
tcf(c_203309,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203308,c_110,c_151]) ).
tcf(c_203316,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203270,c_190954]) ).
tcf(c_203317,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203316,c_106,c_151]) ).
tcf(c_203324,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203269,c_190953]) ).
tcf(c_203325,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203324,c_104,c_151]) ).
tcf(c_203332,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203268,c_190952]) ).
tcf(c_203333,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203332,c_96,c_151]) ).
tcf(c_203340,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203267,c_190951]) ).
tcf(c_203341,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203340,c_95,c_151]) ).
tcf(c_203348,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203266,c_190950]) ).
tcf(c_203349,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203348,c_88,c_151]) ).
tcf(c_203356,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203265,c_190949]) ).
tcf(c_203357,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203356,c_85,c_151]) ).
tcf(c_203364,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203264,c_190948]) ).
tcf(c_203365,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203364,c_81,c_151]) ).
tcf(c_203372,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203263,c_190947]) ).
tcf(c_203373,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203372,c_73,c_151]) ).
tcf(c_203380,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203262,c_190945]) ).
tcf(c_203381,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203380,c_151,c_51]) ).
tcf(c_203388,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203261,c_190944]) ).
tcf(c_203389,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203388,c_151,c_50]) ).
tcf(c_203396,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203260,c_190943]) ).
tcf(c_203397,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203396,c_151,c_49]) ).
tcf(c_203404,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203259,c_190929]) ).
tcf(c_203405,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203404,c_155,c_151]) ).
tcf(c_203412,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203258,c_190927]) ).
tcf(c_203413,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203412,c_127,c_151]) ).
tcf(c_203420,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203256,c_190925]) ).
tcf(c_203421,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203420,c_119,c_151]) ).
tcf(c_203428,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203255,c_190922]) ).
tcf(c_203429,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203428,c_110,c_151]) ).
tcf(c_203436,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203254,c_190921]) ).
tcf(c_203437,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203436,c_106,c_151]) ).
tcf(c_203444,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203253,c_190920]) ).
tcf(c_203445,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203444,c_104,c_151]) ).
tcf(c_203452,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203252,c_190919]) ).
tcf(c_203453,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203452,c_96,c_151]) ).
tcf(c_203460,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203251,c_190918]) ).
tcf(c_203461,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203460,c_95,c_151]) ).
tcf(c_203468,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203250,c_190917]) ).
tcf(c_203469,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203468,c_88,c_151]) ).
tcf(c_203476,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203249,c_190916]) ).
tcf(c_203477,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203476,c_85,c_151]) ).
tcf(c_203484,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203248,c_190915]) ).
tcf(c_203485,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203484,c_81,c_151]) ).
tcf(c_203492,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203247,c_190914]) ).
tcf(c_203493,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203492,c_73,c_151]) ).
tcf(c_203500,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203246,c_190911]) ).
tcf(c_203501,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203500,c_151,c_50]) ).
tcf(c_203508,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203245,c_190910]) ).
tcf(c_203509,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203508,c_151,c_49]) ).
tcf(c_203516,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203244,c_190912]) ).
tcf(c_203517,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203516,c_151,c_51]) ).
tcf(c_203524,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK14))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203241,c_110,c_88]) ).
tcf(c_203531,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sK12))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203240,c_104,c_95]) ).
tcf(c_203538,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sK10))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203239,c_85,c_50]) ).
tcf(c_203545,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sK9))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203238,c_81,c_49]) ).
tcf(c_203552,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203273,c_190959]) ).
tcf(c_203553,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203552,c_151,c_125]) ).
tcf(c_203560,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK18))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203242,c_127,c_125]) ).
tcf(c_203567,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_203257,c_190926]) ).
tcf(c_203568,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203567,c_151,c_125]) ).
tcf(c_203835,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_66]) ).
tcf(c_203836,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_203837,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_66]) ).
tcf(c_203838,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_66]) ).
tcf(c_203840,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_66]) ).
tcf(c_203841,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_66]) ).
tcf(c_203842,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_66]) ).
tcf(c_203843,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_66]) ).
tcf(c_203844,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_66]) ).
tcf(c_203846,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_66]) ).
tcf(c_203847,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_66]) ).
tcf(c_203848,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_66]) ).
tcf(c_203849,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_66]) ).
tcf(c_203850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_66]) ).
tcf(c_203851,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_66]) ).
tcf(c_203852,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_66]) ).
tcf(c_203853,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_66]) ).
tcf(c_203854,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_66]) ).
tcf(c_203855,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_66]) ).
tcf(c_203856,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_66]) ).
tcf(c_203857,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_66]) ).
tcf(c_203858,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_66]) ).
tcf(c_203859,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_66]) ).
tcf(c_203860,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_66]) ).
tcf(c_203861,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_66]) ).
tcf(c_203862,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_66]) ).
tcf(c_203863,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_66]) ).
tcf(c_203864,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_66]) ).
tcf(c_203865,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_66]) ).
tcf(c_203866,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_66]) ).
tcf(c_203867,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_66]) ).
tcf(c_203868,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_66]) ).
tcf(c_203869,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_66]) ).
tcf(c_203870,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_66]) ).
tcf(c_203871,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_66]) ).
tcf(c_203872,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_66]) ).
tcf(c_203873,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_66]) ).
tcf(c_203874,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_66]) ).
tcf(c_203875,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_66]) ).
tcf(c_203876,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK18,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_66]) ).
tcf(c_203877,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_66]) ).
tcf(c_203878,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_66]) ).
tcf(c_203879,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_66]) ).
tcf(c_203880,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_66]) ).
tcf(c_203881,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_66]) ).
tcf(c_203882,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz10,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_66]) ).
tcf(c_203883,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz10,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_66]) ).
tcf(c_203884,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_66]) ).
tcf(c_203885,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_66]) ).
tcf(c_203886,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_66]) ).
tcf(c_203887,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_66]) ).
tcf(c_203888,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_66]) ).
tcf(c_203889,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_66]) ).
tcf(c_203890,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_66]) ).
tcf(c_203891,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_66]) ).
tcf(c_203892,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xp,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_66]) ).
tcf(c_203893,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_66]) ).
tcf(c_203894,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xm,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_66]) ).
tcf(c_203895,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_66]) ).
tcf(c_203896,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_66]) ).
tcf(c_203897,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_66]) ).
tcf(c_203898,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_66]) ).
tcf(c_203899,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_66]) ).
tcf(c_203900,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_66]) ).
tcf(c_203901,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_66]) ).
tcf(c_203902,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_66]) ).
tcf(c_203903,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_66]) ).
tcf(c_203904,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_66]) ).
tcf(c_203905,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_66]) ).
tcf(c_203906,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK18,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_66]) ).
tcf(c_203907,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_66]) ).
tcf(c_203908,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_66]) ).
tcf(c_203909,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_203910,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_66]) ).
tcf(c_203911,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_66]) ).
tcf(c_203913,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_66]) ).
tcf(c_203914,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_66]) ).
tcf(c_203915,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_66]) ).
tcf(c_203916,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_66]) ).
tcf(c_203917,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_66]) ).
tcf(c_203919,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_66]) ).
tcf(c_203920,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_66]) ).
tcf(c_203921,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_66]) ).
tcf(c_203922,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_66]) ).
tcf(c_203923,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_66]) ).
tcf(c_203924,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_66]) ).
tcf(c_203925,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_66]) ).
tcf(c_203926,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_66]) ).
tcf(c_203927,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_66]) ).
tcf(c_203928,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_66]) ).
tcf(c_203929,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_66]) ).
tcf(c_203930,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_66]) ).
tcf(c_203931,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_66]) ).
tcf(c_203932,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_66]) ).
tcf(c_203933,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_66]) ).
tcf(c_203934,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_66]) ).
tcf(c_203935,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_66]) ).
tcf(c_203936,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_66]) ).
tcf(c_203937,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_66]) ).
tcf(c_203938,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_66]) ).
tcf(c_203939,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_66]) ).
tcf(c_203940,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_66]) ).
tcf(c_203941,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_66]) ).
tcf(c_203942,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_66]) ).
tcf(c_203943,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_66]) ).
tcf(c_203944,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_66]) ).
tcf(c_203945,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_66]) ).
tcf(c_203946,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_66]) ).
tcf(c_203947,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_66]) ).
tcf(c_203948,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_66]) ).
tcf(c_203949,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_66]) ).
tcf(c_203950,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_66]) ).
tcf(c_203951,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_66]) ).
tcf(c_203952,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_66]) ).
tcf(c_203953,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_66]) ).
tcf(c_203954,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_66]) ).
tcf(c_203955,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_66]) ).
tcf(c_203956,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_66]) ).
tcf(c_203957,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_66]) ).
tcf(c_203958,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_66]) ).
tcf(c_203959,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_66]) ).
tcf(c_203960,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_66]) ).
tcf(c_203961,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_66]) ).
tcf(c_203962,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_66]) ).
tcf(c_203963,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_66]) ).
tcf(c_203964,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_66]) ).
tcf(c_203965,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_66]) ).
tcf(c_203966,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_66]) ).
tcf(c_203967,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_66]) ).
tcf(c_203968,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_66]) ).
tcf(c_203969,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_66]) ).
tcf(c_203970,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_66]) ).
tcf(c_203971,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_66]) ).
tcf(c_203972,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_66]) ).
tcf(c_203973,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_66]) ).
tcf(c_203974,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_66]) ).
tcf(c_203975,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_66]) ).
tcf(c_203976,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_66]) ).
tcf(c_203977,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_66]) ).
tcf(c_203978,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_66]) ).
tcf(c_203979,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_66]) ).
tcf(c_203980,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_66]) ).
tcf(c_203981,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,X0)
| sP1(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_resolution,[status(thm)],[c_66]) ).
tcf(c_203988,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203964,c_155]) ).
tcf(c_203996,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203917,c_151]) ).
tcf(c_204004,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203891,c_155]) ).
tcf(c_204012,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203844,c_190994]) ).
tcf(c_204013,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204012,c_151]) ).
tcf(c_204021,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203979,c_127,c_155]) ).
tcf(c_204029,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203977,c_119,c_155]) ).
tcf(c_204037,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203976,c_110,c_155]) ).
tcf(c_204045,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203975,c_106,c_155]) ).
tcf(c_204053,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203974,c_104,c_155]) ).
tcf(c_204061,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203973,c_96,c_155]) ).
tcf(c_204069,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203972,c_95,c_155]) ).
tcf(c_204077,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203971,c_88,c_155]) ).
tcf(c_204085,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203970,c_85,c_155]) ).
tcf(c_204093,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203969,c_81,c_155]) ).
tcf(c_204101,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203968,c_73,c_155]) ).
tcf(c_204109,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203967,c_155,c_50]) ).
tcf(c_204117,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203966,c_155,c_49]) ).
tcf(c_204125,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203965,c_155,c_51]) ).
tcf(c_204133,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203963,c_127,c_155]) ).
tcf(c_204141,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203961,c_119,c_155]) ).
tcf(c_204149,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203960,c_110,c_155]) ).
tcf(c_204157,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203959,c_106,c_155]) ).
tcf(c_204165,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203958,c_104,c_155]) ).
tcf(c_204173,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203957,c_96,c_155]) ).
tcf(c_204181,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203956,c_95,c_155]) ).
tcf(c_204189,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203955,c_88,c_155]) ).
tcf(c_204197,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203954,c_85,c_155]) ).
tcf(c_204205,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203953,c_81,c_155]) ).
tcf(c_204213,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203952,c_73,c_155]) ).
tcf(c_204221,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203951,c_155,c_51]) ).
tcf(c_204229,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203950,c_155,c_50]) ).
tcf(c_204251,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203934,c_155,c_49]) ).
tcf(c_204259,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203932,c_127,c_151]) ).
tcf(c_204267,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203931,c_119,c_151]) ).
tcf(c_204275,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203930,c_110,c_151]) ).
tcf(c_204283,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203929,c_106,c_151]) ).
tcf(c_204291,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203928,c_104,c_151]) ).
tcf(c_204299,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203927,c_96,c_151]) ).
tcf(c_204307,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203926,c_95,c_151]) ).
tcf(c_204315,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203925,c_88,c_151]) ).
tcf(c_204323,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203924,c_151,c_49]) ).
tcf(c_204331,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203923,c_151,c_50]) ).
tcf(c_204339,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203922,c_151,c_51]) ).
tcf(c_204347,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203921,c_73,c_151]) ).
tcf(c_204355,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203920,c_81,c_151]) ).
tcf(c_204363,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203919,c_85,c_151]) ).
tcf(c_204372,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203915,c_155,c_151]) ).
tcf(c_204380,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203913,c_119,c_95]) ).
tcf(c_204388,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203910,c_96,c_95]) ).
tcf(c_204396,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK18,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203906,c_127,c_155]) ).
tcf(c_204404,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK17,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203904,c_119,c_155]) ).
tcf(c_204412,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK14,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203903,c_110,c_155]) ).
tcf(c_204420,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK13,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203902,c_106,c_155]) ).
tcf(c_204428,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK12,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203901,c_104,c_155]) ).
tcf(c_204436,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK11,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203900,c_96,c_155]) ).
tcf(c_204444,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xr,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203899,c_95,c_155]) ).
tcf(c_204452,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xk,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203898,c_88,c_155]) ).
tcf(c_204460,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203897,c_85,c_155]) ).
tcf(c_204468,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203896,c_81,c_155]) ).
tcf(c_204476,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203895,c_73,c_155]) ).
tcf(c_204484,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xm,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203894,c_155,c_50]) ).
tcf(c_204492,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xn,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203893,c_155,c_49]) ).
tcf(c_204500,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xp,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203892,c_155,c_51]) ).
tcf(c_204508,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203890,c_127,c_155]) ).
tcf(c_204516,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203888,c_119,c_155]) ).
tcf(c_204524,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203887,c_110,c_155]) ).
tcf(c_204532,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203886,c_106,c_155]) ).
tcf(c_204540,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203885,c_104,c_155]) ).
tcf(c_204548,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203884,c_96,c_155]) ).
tcf(c_204556,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203883,c_95,c_155]) ).
tcf(c_204564,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203882,c_88,c_155]) ).
tcf(c_204572,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203881,c_85,c_155]) ).
tcf(c_204580,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203880,c_81,c_155]) ).
tcf(c_204588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203879,c_73,c_155]) ).
tcf(c_204596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203878,c_155,c_51]) ).
tcf(c_204604,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203877,c_155,c_50]) ).
tcf(c_204612,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK18,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203876,c_191026]) ).
tcf(c_204613,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK18,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204612,c_127,c_151]) ).
tcf(c_204621,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK17,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203874,c_191024]) ).
tcf(c_204622,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK17,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204621,c_119,c_151]) ).
tcf(c_204630,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK14,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203873,c_191021]) ).
tcf(c_204631,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK14,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204630,c_110,c_151]) ).
tcf(c_204639,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK13,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203872,c_191020]) ).
tcf(c_204640,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK13,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204639,c_106,c_151]) ).
tcf(c_204648,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK12,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203871,c_191019]) ).
tcf(c_204649,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK12,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204648,c_104,c_151]) ).
tcf(c_204657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK11,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203870,c_191018]) ).
tcf(c_204658,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK11,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204657,c_96,c_151]) ).
tcf(c_204666,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203869,c_191017]) ).
tcf(c_204667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xr,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204666,c_95,c_151]) ).
tcf(c_204675,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xk,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203868,c_191016]) ).
tcf(c_204676,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xk,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204675,c_88,c_151]) ).
tcf(c_204684,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK10,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203867,c_191015]) ).
tcf(c_204685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204684,c_85,c_151]) ).
tcf(c_204693,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203866,c_191014]) ).
tcf(c_204694,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204693,c_81,c_151]) ).
tcf(c_204702,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203865,c_191013]) ).
tcf(c_204703,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204702,c_73,c_151]) ).
tcf(c_204711,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203864,c_191011]) ).
tcf(c_204712,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xp,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204711,c_151,c_51]) ).
tcf(c_204720,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203863,c_191010]) ).
tcf(c_204721,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xm,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204720,c_151,c_50]) ).
tcf(c_204729,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203862,c_191009]) ).
tcf(c_204730,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(xn,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204729,c_151,c_49]) ).
tcf(c_204738,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203861,c_155,c_49]) ).
tcf(c_204746,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203859,c_190993]) ).
tcf(c_204747,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204746,c_127,c_151]) ).
tcf(c_204755,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203858,c_190991]) ).
tcf(c_204756,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204755,c_119,c_151]) ).
tcf(c_204764,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203857,c_190988]) ).
tcf(c_204765,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204764,c_110,c_151]) ).
tcf(c_204773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203856,c_190987]) ).
tcf(c_204774,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204773,c_106,c_151]) ).
tcf(c_204782,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203855,c_190986]) ).
tcf(c_204783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204782,c_104,c_151]) ).
tcf(c_204791,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203854,c_190985]) ).
tcf(c_204792,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204791,c_96,c_151]) ).
tcf(c_204800,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203853,c_190984]) ).
tcf(c_204801,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204800,c_95,c_151]) ).
tcf(c_204809,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203852,c_190983]) ).
tcf(c_204810,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204809,c_88,c_151]) ).
tcf(c_204818,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203851,c_190976]) ).
tcf(c_204819,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204818,c_151,c_49]) ).
tcf(c_204827,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203850,c_190977]) ).
tcf(c_204828,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204827,c_151,c_50]) ).
tcf(c_204836,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203849,c_190978]) ).
tcf(c_204837,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204836,c_151,c_51]) ).
tcf(c_204845,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203848,c_190980]) ).
tcf(c_204846,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204845,c_73,c_151]) ).
tcf(c_204854,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203847,c_190981]) ).
tcf(c_204855,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204854,c_81,c_151]) ).
tcf(c_204863,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203846,c_190982]) ).
tcf(c_204864,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204863,c_85,c_151]) ).
tcf(c_204872,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203843,c_191028]) ).
tcf(c_204873,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204872,c_155,c_151]) ).
tcf(c_204881,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203842,c_190995]) ).
tcf(c_204882,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204881,c_155,c_151]) ).
tcf(c_204890,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK17,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203840,c_119,c_95]) ).
tcf(c_204898,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK11,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203837,c_96,c_95]) ).
tcf(c_204908,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203911,c_106,c_95]) ).
tcf(c_204916,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203909,c_88,c_51]) ).
tcf(c_204925,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK13,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203838,c_106,c_95]) ).
tcf(c_204933,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xk,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203836,c_88,c_51]) ).
tcf(c_204941,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203835,c_73,c_51]) ).
tcf(c_204949,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203980,c_155,c_191219]) ).
tcf(c_204957,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203978,c_155,c_125]) ).
tcf(c_204984,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203875,c_191025]) ).
tcf(c_204985,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204984,c_151,c_125]) ).
tcf(c_204993,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_203860,c_190992]) ).
tcf(c_204994,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204993,c_151,c_125]) ).
tcf(c_205002,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203841,c_95,c_125]) ).
tcf(c_205020,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203907,c_155,c_191219]) ).
tcf(c_205028,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203905,c_155,c_125]) ).
tcf(c_205036,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203889,c_155,c_125]) ).
tcf(c_205044,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203933,c_151,c_125]) ).
tcf(c_205052,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203962,c_155,c_125]) ).
tcf(c_205667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_62]) ).
tcf(c_205668,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_205669,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_62]) ).
tcf(c_205670,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_62]) ).
tcf(c_205672,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_62]) ).
tcf(c_205673,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_62]) ).
tcf(c_205674,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_62]) ).
tcf(c_205675,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_62]) ).
tcf(c_205676,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_62]) ).
tcf(c_205678,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_62]) ).
tcf(c_205679,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_62]) ).
tcf(c_205680,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_62]) ).
tcf(c_205681,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_62]) ).
tcf(c_205682,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_62]) ).
tcf(c_205683,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_62]) ).
tcf(c_205684,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_62]) ).
tcf(c_205685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_62]) ).
tcf(c_205686,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_62]) ).
tcf(c_205687,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_62]) ).
tcf(c_205688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_62]) ).
tcf(c_205689,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_62]) ).
tcf(c_205690,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_62]) ).
tcf(c_205691,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_62]) ).
tcf(c_205692,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_62]) ).
tcf(c_205693,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_62]) ).
tcf(c_205694,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_62]) ).
tcf(c_205695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_62]) ).
tcf(c_205696,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_62]) ).
tcf(c_205697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_62]) ).
tcf(c_205698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_62]) ).
tcf(c_205699,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_62]) ).
tcf(c_205700,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_62]) ).
tcf(c_205701,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_62]) ).
tcf(c_205702,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_62]) ).
tcf(c_205703,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_62]) ).
tcf(c_205704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_62]) ).
tcf(c_205705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_62]) ).
tcf(c_205706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_62]) ).
tcf(c_205707,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_62]) ).
tcf(c_205708,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_62]) ).
tcf(c_205709,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_62]) ).
tcf(c_205710,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_62]) ).
tcf(c_205711,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_62]) ).
tcf(c_205712,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_62]) ).
tcf(c_205713,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_62]) ).
tcf(c_205714,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_62]) ).
tcf(c_205715,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_62]) ).
tcf(c_205716,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_62]) ).
tcf(c_205717,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_62]) ).
tcf(c_205718,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_62]) ).
tcf(c_205719,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_62]) ).
tcf(c_205720,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_62]) ).
tcf(c_205721,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_62]) ).
tcf(c_205722,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_62]) ).
tcf(c_205723,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_62]) ).
tcf(c_205724,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_62]) ).
tcf(c_205725,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_62]) ).
tcf(c_205726,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_62]) ).
tcf(c_205727,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_62]) ).
tcf(c_205728,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_62]) ).
tcf(c_205729,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_62]) ).
tcf(c_205730,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_62]) ).
tcf(c_205731,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_62]) ).
tcf(c_205732,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_62]) ).
tcf(c_205733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_62]) ).
tcf(c_205734,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_62]) ).
tcf(c_205735,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_62]) ).
tcf(c_205736,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_62]) ).
tcf(c_205737,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_62]) ).
tcf(c_205738,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_62]) ).
tcf(c_205739,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_62]) ).
tcf(c_205740,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_62]) ).
tcf(c_205741,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_205742,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_62]) ).
tcf(c_205743,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_62]) ).
tcf(c_205745,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_62]) ).
tcf(c_205746,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_62]) ).
tcf(c_205747,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_62]) ).
tcf(c_205748,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_62]) ).
tcf(c_205749,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_62]) ).
tcf(c_205751,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_62]) ).
tcf(c_205752,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_62]) ).
tcf(c_205753,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_62]) ).
tcf(c_205754,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_62]) ).
tcf(c_205755,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_62]) ).
tcf(c_205756,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_62]) ).
tcf(c_205757,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_62]) ).
tcf(c_205758,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_62]) ).
tcf(c_205759,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_62]) ).
tcf(c_205760,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_62]) ).
tcf(c_205761,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_62]) ).
tcf(c_205762,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_62]) ).
tcf(c_205763,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_62]) ).
tcf(c_205764,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_62]) ).
tcf(c_205765,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_62]) ).
tcf(c_205766,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_62]) ).
tcf(c_205767,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_62]) ).
tcf(c_205768,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_62]) ).
tcf(c_205769,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_62]) ).
tcf(c_205770,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_62]) ).
tcf(c_205771,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_62]) ).
tcf(c_205772,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_62]) ).
tcf(c_205773,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_62]) ).
tcf(c_205774,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_62]) ).
tcf(c_205775,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_62]) ).
tcf(c_205776,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_62]) ).
tcf(c_205777,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_62]) ).
tcf(c_205778,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_62]) ).
tcf(c_205779,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_62]) ).
tcf(c_205780,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_62]) ).
tcf(c_205781,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_62]) ).
tcf(c_205782,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_62]) ).
tcf(c_205783,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_62]) ).
tcf(c_205784,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_62]) ).
tcf(c_205785,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_62]) ).
tcf(c_205786,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_62]) ).
tcf(c_205787,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_62]) ).
tcf(c_205788,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_62]) ).
tcf(c_205789,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_62]) ).
tcf(c_205790,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_62]) ).
tcf(c_205791,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_62]) ).
tcf(c_205792,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_62]) ).
tcf(c_205793,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_62]) ).
tcf(c_205794,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_62]) ).
tcf(c_205795,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_62]) ).
tcf(c_205796,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_62]) ).
tcf(c_205797,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_62]) ).
tcf(c_205798,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_62]) ).
tcf(c_205799,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_62]) ).
tcf(c_205800,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_62]) ).
tcf(c_205801,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_62]) ).
tcf(c_205802,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_62]) ).
tcf(c_205803,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_62]) ).
tcf(c_205804,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_62]) ).
tcf(c_205805,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_62]) ).
tcf(c_205806,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_62]) ).
tcf(c_205807,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_62]) ).
tcf(c_205808,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_62]) ).
tcf(c_205809,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_62]) ).
tcf(c_205810,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_62]) ).
tcf(c_205811,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_62]) ).
tcf(c_205812,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_62]) ).
tcf(c_205813,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(X1,X0)
| aNaturalNumber0(sK7(X0,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_resolution,[status(thm)],[c_62]) ).
tcf(c_205820,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205796,c_155]) ).
tcf(c_205828,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205749,c_151]) ).
tcf(c_205836,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205723,c_155]) ).
tcf(c_205844,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205676,c_190994]) ).
tcf(c_205845,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205844,c_151]) ).
tcf(c_205853,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205811,c_127,c_155]) ).
tcf(c_205861,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205809,c_119,c_155]) ).
tcf(c_205869,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205808,c_110,c_155]) ).
tcf(c_205877,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205807,c_106,c_155]) ).
tcf(c_205885,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205806,c_104,c_155]) ).
tcf(c_205893,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205805,c_96,c_155]) ).
tcf(c_205901,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205804,c_95,c_155]) ).
tcf(c_205909,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205803,c_88,c_155]) ).
tcf(c_205917,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205802,c_85,c_155]) ).
tcf(c_205925,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205801,c_81,c_155]) ).
tcf(c_205933,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205800,c_73,c_155]) ).
tcf(c_205941,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205799,c_155,c_50]) ).
tcf(c_205949,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205798,c_155,c_49]) ).
tcf(c_205957,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205797,c_155,c_51]) ).
tcf(c_205965,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205795,c_127,c_155]) ).
tcf(c_205973,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205793,c_119,c_155]) ).
tcf(c_205981,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205792,c_110,c_155]) ).
tcf(c_205989,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205791,c_106,c_155]) ).
tcf(c_205997,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205790,c_104,c_155]) ).
tcf(c_206005,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205789,c_96,c_155]) ).
tcf(c_206013,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205788,c_95,c_155]) ).
tcf(c_206021,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205787,c_88,c_155]) ).
tcf(c_206029,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205786,c_85,c_155]) ).
tcf(c_206037,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205785,c_81,c_155]) ).
tcf(c_206045,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205784,c_73,c_155]) ).
tcf(c_206053,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205783,c_155,c_51]) ).
tcf(c_206061,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205782,c_155,c_50]) ).
tcf(c_206083,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205766,c_155,c_49]) ).
tcf(c_206091,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205764,c_127,c_151]) ).
tcf(c_206099,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205763,c_119,c_151]) ).
tcf(c_206107,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205762,c_110,c_151]) ).
tcf(c_206115,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205761,c_106,c_151]) ).
tcf(c_206123,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205760,c_104,c_151]) ).
tcf(c_206131,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205759,c_96,c_151]) ).
tcf(c_206139,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205758,c_95,c_151]) ).
tcf(c_206147,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205757,c_88,c_151]) ).
tcf(c_206155,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205756,c_151,c_49]) ).
tcf(c_206163,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205755,c_151,c_50]) ).
tcf(c_206171,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205754,c_151,c_51]) ).
tcf(c_206179,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205753,c_73,c_151]) ).
tcf(c_206187,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205752,c_81,c_151]) ).
tcf(c_206195,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205751,c_85,c_151]) ).
tcf(c_206204,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205747,c_155,c_151]) ).
tcf(c_206212,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205745,c_119,c_95]) ).
tcf(c_206220,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205742,c_96,c_95]) ).
tcf(c_206228,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205738,c_127,c_155]) ).
tcf(c_206236,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205736,c_119,c_155]) ).
tcf(c_206244,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205735,c_110,c_155]) ).
tcf(c_206252,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205734,c_106,c_155]) ).
tcf(c_206260,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205733,c_104,c_155]) ).
tcf(c_206268,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205732,c_96,c_155]) ).
tcf(c_206276,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205731,c_95,c_155]) ).
tcf(c_206284,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205730,c_88,c_155]) ).
tcf(c_206292,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205729,c_85,c_155]) ).
tcf(c_206300,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205728,c_81,c_155]) ).
tcf(c_206308,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205727,c_73,c_155]) ).
tcf(c_206316,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205726,c_155,c_50]) ).
tcf(c_206324,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205725,c_155,c_49]) ).
tcf(c_206332,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205724,c_155,c_51]) ).
tcf(c_206340,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205722,c_127,c_155]) ).
tcf(c_206348,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205720,c_119,c_155]) ).
tcf(c_206356,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205719,c_110,c_155]) ).
tcf(c_206364,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205718,c_106,c_155]) ).
tcf(c_206372,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205717,c_104,c_155]) ).
tcf(c_206380,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205716,c_96,c_155]) ).
tcf(c_206388,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205715,c_95,c_155]) ).
tcf(c_206396,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205714,c_88,c_155]) ).
tcf(c_206404,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205713,c_85,c_155]) ).
tcf(c_206412,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205712,c_81,c_155]) ).
tcf(c_206420,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205711,c_73,c_155]) ).
tcf(c_206428,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205710,c_155,c_51]) ).
tcf(c_206436,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205709,c_155,c_50]) ).
tcf(c_206444,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205708,c_191026]) ).
tcf(c_206445,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206444,c_127,c_151]) ).
tcf(c_206453,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205706,c_191024]) ).
tcf(c_206454,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206453,c_119,c_151]) ).
tcf(c_206462,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205705,c_191021]) ).
tcf(c_206463,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206462,c_110,c_151]) ).
tcf(c_206471,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205704,c_191020]) ).
tcf(c_206472,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206471,c_106,c_151]) ).
tcf(c_206480,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205703,c_191019]) ).
tcf(c_206481,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206480,c_104,c_151]) ).
tcf(c_206489,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205702,c_191018]) ).
tcf(c_206490,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206489,c_96,c_151]) ).
tcf(c_206498,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205701,c_191017]) ).
tcf(c_206499,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206498,c_95,c_151]) ).
tcf(c_206507,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205700,c_191016]) ).
tcf(c_206508,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206507,c_88,c_151]) ).
tcf(c_206516,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205699,c_191015]) ).
tcf(c_206517,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206516,c_85,c_151]) ).
tcf(c_206525,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205698,c_191014]) ).
tcf(c_206526,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206525,c_81,c_151]) ).
tcf(c_206534,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205697,c_191013]) ).
tcf(c_206535,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206534,c_73,c_151]) ).
tcf(c_206543,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205696,c_191011]) ).
tcf(c_206544,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206543,c_151,c_51]) ).
tcf(c_206552,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205695,c_191010]) ).
tcf(c_206553,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206552,c_151,c_50]) ).
tcf(c_206561,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205694,c_191009]) ).
tcf(c_206562,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206561,c_151,c_49]) ).
tcf(c_206570,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205693,c_155,c_49]) ).
tcf(c_206578,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205691,c_190993]) ).
tcf(c_206579,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206578,c_127,c_151]) ).
tcf(c_206587,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205690,c_190991]) ).
tcf(c_206588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206587,c_119,c_151]) ).
tcf(c_206596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205689,c_190988]) ).
tcf(c_206597,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206596,c_110,c_151]) ).
tcf(c_206605,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205688,c_190987]) ).
tcf(c_206606,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206605,c_106,c_151]) ).
tcf(c_206614,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205687,c_190986]) ).
tcf(c_206615,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206614,c_104,c_151]) ).
tcf(c_206623,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205686,c_190985]) ).
tcf(c_206624,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206623,c_96,c_151]) ).
tcf(c_206632,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205685,c_190984]) ).
tcf(c_206633,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206632,c_95,c_151]) ).
tcf(c_206641,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205684,c_190983]) ).
tcf(c_206642,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206641,c_88,c_151]) ).
tcf(c_206650,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205683,c_190976]) ).
tcf(c_206651,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xn,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206650,c_151,c_49]) ).
tcf(c_206659,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205682,c_190977]) ).
tcf(c_206660,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206659,c_151,c_50]) ).
tcf(c_206668,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205681,c_190978]) ).
tcf(c_206669,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206668,c_151,c_51]) ).
tcf(c_206677,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205680,c_190980]) ).
tcf(c_206678,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206677,c_73,c_151]) ).
tcf(c_206686,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205679,c_190981]) ).
tcf(c_206687,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206686,c_81,c_151]) ).
tcf(c_206695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205678,c_190982]) ).
tcf(c_206696,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206695,c_85,c_151]) ).
tcf(c_206704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205675,c_191028]) ).
tcf(c_206705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206704,c_155,c_151]) ).
tcf(c_206713,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205674,c_190995]) ).
tcf(c_206714,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206713,c_155,c_151]) ).
tcf(c_206722,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205672,c_119,c_95]) ).
tcf(c_206730,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205669,c_96,c_95]) ).
tcf(c_206740,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205743,c_106,c_95]) ).
tcf(c_206748,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205741,c_88,c_51]) ).
tcf(c_206757,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205670,c_106,c_95]) ).
tcf(c_206765,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205668,c_88,c_51]) ).
tcf(c_206773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205667,c_73,c_51]) ).
tcf(c_206781,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205812,c_155,c_191219]) ).
tcf(c_206789,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205810,c_155,c_125]) ).
tcf(c_206816,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205707,c_191025]) ).
tcf(c_206817,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206816,c_151,c_125]) ).
tcf(c_206825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_205692,c_190992]) ).
tcf(c_206826,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206825,c_151,c_125]) ).
tcf(c_206834,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205673,c_95,c_125]) ).
tcf(c_206852,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205739,c_155,c_191219]) ).
tcf(c_206860,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205737,c_155,c_125]) ).
tcf(c_206868,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205721,c_155,c_125]) ).
tcf(c_206876,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205765,c_151,c_125]) ).
tcf(c_206884,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205794,c_155,c_125]) ).
tcf(c_207494,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_202795,c_196]) ).
tcf(c_207495,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_202795,c_199]) ).
tcf(c_207497,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_202795,c_180]) ).
tcf(c_207498,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_202795,c_176]) ).
tcf(c_207500,plain,
sdtasdt0(sz10,sK20(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_207498,c_155,c_191219]) ).
tcf(c_207501,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207497,c_155,c_191219]) ).
tcf(c_207505,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_207495,c_156,c_155,c_191219]) ).
tcf(c_207506,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207494,c_156,c_155,c_191219]) ).
tcf(c_207621,plain,
iLess0(sz00,xn),
inference(global_subsumption_just,[status(thm)],[c_192572,c_122,c_11679,c_13032,c_13146]) ).
tcf(c_207632,plain,
( ( sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_193284,c_165]) ).
tcf(c_207635,plain,
sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_207632,c_125]) ).
tcf(c_207636,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_62]) ).
tcf(c_207637,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_66]) ).
tcf(c_207643,plain,
( doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191475,c_272]) ).
tcf(c_207645,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_62]) ).
tcf(c_207646,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| doDivides0(sdtasdt0(xn,xm),X0)
| sP1(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_66]) ).
tcf(c_207647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191475,c_141]) ).
tcf(c_207648,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191475,c_137]) ).
tcf(c_207649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_191475,c_141]) ).
tcf(c_207650,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_145]) ).
tcf(c_207651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191475,c_139]) ).
tcf(c_207652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191475,c_139]) ).
tcf(c_207653,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_146]) ).
tcf(c_207654,plain,
doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_207643,c_155,c_191219]) ).
tcf(c_207655,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_207648,c_156,c_155,c_191219]) ).
tcf(c_207656,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207653,c_156,c_155,c_191219]) ).
tcf(c_207660,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207650,c_155,c_191219]) ).
tcf(c_207665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207652,c_155,c_191219]) ).
tcf(c_207671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207651,c_155,c_191219]) ).
tcf(c_207677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207649,c_156,c_155,c_191219]) ).
tcf(c_207682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207647,c_156,c_155,c_191219]) ).
tcf(c_207687,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207637,c_155,c_191219]) ).
tcf(c_207695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207636,c_155,c_191219]) ).
tcf(c_207703,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| doDivides0(sdtasdt0(xn,xm),X0)
| sP1(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207646,c_155,c_191219]) ).
tcf(c_207711,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207645,c_155,c_191219]) ).
tcf(c_207739,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_207740,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_207741,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_64]) ).
tcf(c_207742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_64]) ).
tcf(c_207744,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_64]) ).
tcf(c_207745,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_64]) ).
tcf(c_207746,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_64]) ).
tcf(c_207747,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_64]) ).
tcf(c_207748,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_64]) ).
tcf(c_207750,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_64]) ).
tcf(c_207751,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_64]) ).
tcf(c_207752,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_64]) ).
tcf(c_207753,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_64]) ).
tcf(c_207754,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_64]) ).
tcf(c_207755,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_64]) ).
tcf(c_207756,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_64]) ).
tcf(c_207757,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_64]) ).
tcf(c_207758,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_64]) ).
tcf(c_207759,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_64]) ).
tcf(c_207760,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_64]) ).
tcf(c_207761,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_64]) ).
tcf(c_207762,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_64]) ).
tcf(c_207763,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_64]) ).
tcf(c_207764,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_64]) ).
tcf(c_207765,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_64]) ).
tcf(c_207766,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_64]) ).
tcf(c_207767,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_64]) ).
tcf(c_207768,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_64]) ).
tcf(c_207769,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_64]) ).
tcf(c_207770,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_64]) ).
tcf(c_207771,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_64]) ).
tcf(c_207772,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_64]) ).
tcf(c_207773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_64]) ).
tcf(c_207774,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_64]) ).
tcf(c_207775,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_64]) ).
tcf(c_207776,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_64]) ).
tcf(c_207777,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_64]) ).
tcf(c_207778,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_64]) ).
tcf(c_207779,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_64]) ).
tcf(c_207780,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_64]) ).
tcf(c_207781,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_64]) ).
tcf(c_207782,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_64]) ).
tcf(c_207783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_64]) ).
tcf(c_207784,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_64]) ).
tcf(c_207785,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_64]) ).
tcf(c_207786,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_64]) ).
tcf(c_207787,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_64]) ).
tcf(c_207788,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_64]) ).
tcf(c_207789,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_64]) ).
tcf(c_207790,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_64]) ).
tcf(c_207791,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_64]) ).
tcf(c_207792,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_64]) ).
tcf(c_207793,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_64]) ).
tcf(c_207794,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_64]) ).
tcf(c_207795,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_64]) ).
tcf(c_207796,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_64]) ).
tcf(c_207797,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_64]) ).
tcf(c_207798,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_64]) ).
tcf(c_207799,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_64]) ).
tcf(c_207800,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_64]) ).
tcf(c_207801,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_64]) ).
tcf(c_207802,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_64]) ).
tcf(c_207803,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_64]) ).
tcf(c_207804,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_64]) ).
tcf(c_207805,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_64]) ).
tcf(c_207806,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_64]) ).
tcf(c_207807,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_64]) ).
tcf(c_207808,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_64]) ).
tcf(c_207809,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_64]) ).
tcf(c_207810,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_64]) ).
tcf(c_207811,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_64]) ).
tcf(c_207812,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_64]) ).
tcf(c_207813,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_207814,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_207815,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_97,c_64]) ).
tcf(c_207816,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_107,c_64]) ).
tcf(c_207818,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_120,c_64]) ).
tcf(c_207819,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_126,c_64]) ).
tcf(c_207820,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190929,c_64]) ).
tcf(c_207821,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190962,c_64]) ).
tcf(c_207822,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190928,c_64]) ).
tcf(c_207824,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190916,c_64]) ).
tcf(c_207825,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190915,c_64]) ).
tcf(c_207826,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190914,c_64]) ).
tcf(c_207827,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190912,c_64]) ).
tcf(c_207828,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190911,c_64]) ).
tcf(c_207829,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190910,c_64]) ).
tcf(c_207830,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190917,c_64]) ).
tcf(c_207831,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190918,c_64]) ).
tcf(c_207832,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190919,c_64]) ).
tcf(c_207833,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190920,c_64]) ).
tcf(c_207834,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190921,c_64]) ).
tcf(c_207835,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190922,c_64]) ).
tcf(c_207836,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190925,c_64]) ).
tcf(c_207837,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190927,c_64]) ).
tcf(c_207838,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190926,c_64]) ).
tcf(c_207839,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191042,c_64]) ).
tcf(c_207840,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190943,c_64]) ).
tcf(c_207841,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190944,c_64]) ).
tcf(c_207842,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190945,c_64]) ).
tcf(c_207843,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190947,c_64]) ).
tcf(c_207844,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190948,c_64]) ).
tcf(c_207845,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190949,c_64]) ).
tcf(c_207846,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190950,c_64]) ).
tcf(c_207847,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190951,c_64]) ).
tcf(c_207848,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190952,c_64]) ).
tcf(c_207849,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190953,c_64]) ).
tcf(c_207850,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190954,c_64]) ).
tcf(c_207851,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190955,c_64]) ).
tcf(c_207852,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190958,c_64]) ).
tcf(c_207853,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190959,c_64]) ).
tcf(c_207854,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_190960,c_64]) ).
tcf(c_207855,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191043,c_64]) ).
tcf(c_207856,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191044,c_64]) ).
tcf(c_207857,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191046,c_64]) ).
tcf(c_207858,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191047,c_64]) ).
tcf(c_207859,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191048,c_64]) ).
tcf(c_207860,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191049,c_64]) ).
tcf(c_207861,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191050,c_64]) ).
tcf(c_207862,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191051,c_64]) ).
tcf(c_207863,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191052,c_64]) ).
tcf(c_207864,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191053,c_64]) ).
tcf(c_207865,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191054,c_64]) ).
tcf(c_207866,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191057,c_64]) ).
tcf(c_207867,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191058,c_64]) ).
tcf(c_207868,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191059,c_64]) ).
tcf(c_207869,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_191061,c_64]) ).
tcf(c_207870,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_191077,c_64]) ).
tcf(c_207871,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_191075,c_64]) ).
tcf(c_207872,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_191076,c_64]) ).
tcf(c_207873,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_191079,c_64]) ).
tcf(c_207874,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_191080,c_64]) ).
tcf(c_207875,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_191081,c_64]) ).
tcf(c_207876,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_191082,c_64]) ).
tcf(c_207877,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_191083,c_64]) ).
tcf(c_207878,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_191084,c_64]) ).
tcf(c_207879,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_191085,c_64]) ).
tcf(c_207880,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_191086,c_64]) ).
tcf(c_207881,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_191087,c_64]) ).
tcf(c_207882,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_191090,c_64]) ).
tcf(c_207883,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_191091,c_64]) ).
tcf(c_207884,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_191092,c_64]) ).
tcf(c_207885,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191474,c_64]) ).
tcf(c_207886,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),sK7(X0,sdtasdt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191475,c_64]) ).
tcf(c_207887,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(X1,X0)
| ( sdtasdt0(X0,sK7(X0,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(equality_resolution,[status(thm)],[c_64]) ).
tcf(c_207894,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207869,c_155]) ).
tcf(c_207902,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207822,c_151]) ).
tcf(c_207910,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207795,c_155]) ).
tcf(c_207918,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207748,c_190994]) ).
tcf(c_207919,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207918,c_151]) ).
tcf(c_207927,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207884,c_127,c_155]) ).
tcf(c_207935,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207882,c_119,c_155]) ).
tcf(c_207943,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207881,c_110,c_155]) ).
tcf(c_207951,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207880,c_106,c_155]) ).
tcf(c_207959,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207879,c_104,c_155]) ).
tcf(c_207967,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207878,c_96,c_155]) ).
tcf(c_207975,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207877,c_95,c_155]) ).
tcf(c_207983,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207876,c_88,c_155]) ).
tcf(c_207991,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207875,c_85,c_155]) ).
tcf(c_207999,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207874,c_81,c_155]) ).
tcf(c_208007,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207873,c_73,c_155]) ).
tcf(c_208015,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207872,c_155,c_50]) ).
tcf(c_208023,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207871,c_155,c_49]) ).
tcf(c_208031,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207870,c_155,c_51]) ).
tcf(c_208039,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207868,c_127,c_155]) ).
tcf(c_208047,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207866,c_119,c_155]) ).
tcf(c_208055,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207865,c_110,c_155]) ).
tcf(c_208063,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207864,c_106,c_155]) ).
tcf(c_208071,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207863,c_104,c_155]) ).
tcf(c_208079,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207862,c_96,c_155]) ).
tcf(c_208087,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207861,c_95,c_155]) ).
tcf(c_208095,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207860,c_88,c_155]) ).
tcf(c_208103,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207859,c_85,c_155]) ).
tcf(c_208111,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207858,c_81,c_155]) ).
tcf(c_208119,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207857,c_73,c_155]) ).
tcf(c_208127,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207856,c_155,c_51]) ).
tcf(c_208135,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207855,c_155,c_50]) ).
tcf(c_208157,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207839,c_155,c_49]) ).
tcf(c_208165,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207837,c_127,c_151]) ).
tcf(c_208173,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207836,c_119,c_151]) ).
tcf(c_208181,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207835,c_110,c_151]) ).
tcf(c_208189,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207834,c_106,c_151]) ).
tcf(c_208197,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207833,c_104,c_151]) ).
tcf(c_208205,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207832,c_96,c_151]) ).
tcf(c_208213,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207831,c_95,c_151]) ).
tcf(c_208221,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207830,c_88,c_151]) ).
tcf(c_208229,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207829,c_151,c_49]) ).
tcf(c_208237,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207828,c_151,c_50]) ).
tcf(c_208245,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207827,c_151,c_51]) ).
tcf(c_208253,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207826,c_73,c_151]) ).
tcf(c_208261,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207825,c_81,c_151]) ).
tcf(c_208269,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207824,c_85,c_151]) ).
tcf(c_208278,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207820,c_155,c_151]) ).
tcf(c_208286,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207818,c_119,c_95]) ).
tcf(c_208294,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207815,c_96,c_95]) ).
tcf(c_208302,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207810,c_127,c_155]) ).
tcf(c_208310,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207808,c_119,c_155]) ).
tcf(c_208318,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207807,c_110,c_155]) ).
tcf(c_208326,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207806,c_106,c_155]) ).
tcf(c_208334,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207805,c_104,c_155]) ).
tcf(c_208342,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207804,c_96,c_155]) ).
tcf(c_208350,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207803,c_95,c_155]) ).
tcf(c_208358,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207802,c_88,c_155]) ).
tcf(c_208366,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207801,c_85,c_155]) ).
tcf(c_208374,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207800,c_81,c_155]) ).
tcf(c_208382,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207799,c_73,c_155]) ).
tcf(c_208390,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207798,c_155,c_50]) ).
tcf(c_208398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207797,c_155,c_49]) ).
tcf(c_208406,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207796,c_155,c_51]) ).
tcf(c_208414,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207794,c_127,c_155]) ).
tcf(c_208422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207792,c_119,c_155]) ).
tcf(c_208430,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207791,c_110,c_155]) ).
tcf(c_208438,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207790,c_106,c_155]) ).
tcf(c_208446,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207789,c_104,c_155]) ).
tcf(c_208454,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207788,c_96,c_155]) ).
tcf(c_208462,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207787,c_95,c_155]) ).
tcf(c_208470,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207786,c_88,c_155]) ).
tcf(c_208478,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207785,c_85,c_155]) ).
tcf(c_208486,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207784,c_81,c_155]) ).
tcf(c_208494,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207783,c_73,c_155]) ).
tcf(c_208502,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207782,c_155,c_51]) ).
tcf(c_208510,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207781,c_155,c_50]) ).
tcf(c_208518,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207780,c_191026]) ).
tcf(c_208519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK18,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208518,c_127,c_151]) ).
tcf(c_208527,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207778,c_191024]) ).
tcf(c_208528,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208527,c_119,c_151]) ).
tcf(c_208536,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207777,c_191021]) ).
tcf(c_208537,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK14,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208536,c_110,c_151]) ).
tcf(c_208545,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207776,c_191020]) ).
tcf(c_208546,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208545,c_106,c_151]) ).
tcf(c_208554,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207775,c_191019]) ).
tcf(c_208555,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK12,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208554,c_104,c_151]) ).
tcf(c_208563,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207774,c_191018]) ).
tcf(c_208564,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208563,c_96,c_151]) ).
tcf(c_208572,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207773,c_191017]) ).
tcf(c_208573,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208572,c_95,c_151]) ).
tcf(c_208581,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207772,c_191016]) ).
tcf(c_208582,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208581,c_88,c_151]) ).
tcf(c_208590,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207771,c_191015]) ).
tcf(c_208591,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208590,c_85,c_151]) ).
tcf(c_208599,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207770,c_191014]) ).
tcf(c_208600,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208599,c_81,c_151]) ).
tcf(c_208608,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207769,c_191013]) ).
tcf(c_208609,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208608,c_73,c_151]) ).
tcf(c_208617,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207768,c_191011]) ).
tcf(c_208618,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208617,c_151,c_51]) ).
tcf(c_208626,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207767,c_191010]) ).
tcf(c_208627,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208626,c_151,c_50]) ).
tcf(c_208635,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207766,c_191009]) ).
tcf(c_208636,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208635,c_151,c_49]) ).
tcf(c_208644,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207765,c_155,c_49]) ).
tcf(c_208652,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207763,c_190993]) ).
tcf(c_208653,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208652,c_127,c_151]) ).
tcf(c_208661,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207762,c_190991]) ).
tcf(c_208662,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208661,c_119,c_151]) ).
tcf(c_208670,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207761,c_190988]) ).
tcf(c_208671,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208670,c_110,c_151]) ).
tcf(c_208679,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207760,c_190987]) ).
tcf(c_208680,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208679,c_106,c_151]) ).
tcf(c_208688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207759,c_190986]) ).
tcf(c_208689,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208688,c_104,c_151]) ).
tcf(c_208697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207758,c_190985]) ).
tcf(c_208698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208697,c_96,c_151]) ).
tcf(c_208706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207757,c_190984]) ).
tcf(c_208707,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208706,c_95,c_151]) ).
tcf(c_208715,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207756,c_190983]) ).
tcf(c_208716,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208715,c_88,c_151]) ).
tcf(c_208724,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207755,c_190976]) ).
tcf(c_208725,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208724,c_151,c_49]) ).
tcf(c_208733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207754,c_190977]) ).
tcf(c_208734,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208733,c_151,c_50]) ).
tcf(c_208742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207753,c_190978]) ).
tcf(c_208743,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208742,c_151,c_51]) ).
tcf(c_208751,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207752,c_190980]) ).
tcf(c_208752,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208751,c_73,c_151]) ).
tcf(c_208760,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207751,c_190981]) ).
tcf(c_208761,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208760,c_81,c_151]) ).
tcf(c_208769,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207750,c_190982]) ).
tcf(c_208770,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208769,c_85,c_151]) ).
tcf(c_208778,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207747,c_191028]) ).
tcf(c_208779,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208778,c_155,c_151]) ).
tcf(c_208787,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207746,c_190995]) ).
tcf(c_208788,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208787,c_155,c_151]) ).
tcf(c_208796,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK17,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207744,c_119,c_95]) ).
tcf(c_208804,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK11,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207741,c_96,c_95]) ).
tcf(c_208814,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207816,c_106,c_95]) ).
tcf(c_208822,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207814,c_88,c_51]) ).
tcf(c_208831,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK13,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207742,c_106,c_95]) ).
tcf(c_208839,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xk,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207740,c_88,c_51]) ).
tcf(c_208847,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK8,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207739,c_73,c_51]) ).
tcf(c_208855,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207885,c_155,c_191219]) ).
tcf(c_208863,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207883,c_155,c_125]) ).
tcf(c_208890,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207779,c_191025]) ).
tcf(c_208891,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208890,c_151,c_125]) ).
tcf(c_208899,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207745,c_95,c_125]) ).
tcf(c_208917,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207811,c_155,c_191219]) ).
tcf(c_208925,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207809,c_155,c_125]) ).
tcf(c_208933,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_207764,c_190992]) ).
tcf(c_208934,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208933,c_151,c_125]) ).
tcf(c_208942,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207812,c_155,c_191219]) ).
tcf(c_208950,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207793,c_155,c_125]) ).
tcf(c_208958,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207838,c_151,c_125]) ).
tcf(c_208966,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),sK7(X0,sdtasdt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207886,c_155,c_191219]) ).
tcf(c_208974,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207867,c_155,c_125]) ).
tcf(c_209228,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_194556,c_196]) ).
tcf(c_209229,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_194556,c_199]) ).
tcf(c_209232,plain,
( ( sdtasdt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_194556,c_176]) ).
tcf(c_209234,plain,
sdtasdt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_209232,c_125]) ).
tcf(c_209235,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209229,c_125]) ).
tcf(c_209238,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209228,c_125]) ).
tcf(c_209278,plain,
sdtlseqdt0(sz10,xn),
inference(global_subsumption_just,[status(thm)],[c_195349,c_122,c_11679,c_13032,c_15384]) ).
tcf(c_209280,plain,
( ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_209278,c_194]) ).
tcf(c_209281,plain,
( ( sdtpldt0(sz10,sK19(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209278,c_165]) ).
tcf(c_209282,plain,
( iLess0(sz10,xn)
| ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209278,c_173]) ).
tcf(c_209283,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209278,c_193]) ).
tcf(c_209284,plain,
( iLess0(sz10,xn)
| ( xn = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209282,c_155,c_49]) ).
tcf(c_209287,plain,
sdtpldt0(sz10,sK19(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_209281,c_155,c_49]) ).
tcf(c_209288,plain,
( ( xn = sz10 )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209280,c_155,c_49]) ).
tcf(c_209291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209283,c_155,c_49]) ).
tcf(c_209351,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz10) ),
inference(superposition,[status(thm)],[c_195368,c_194]) ).
tcf(c_209352,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK19(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_195368,c_165]) ).
tcf(c_209353,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_195368,c_173]) ).
tcf(c_209354,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_195368,c_193]) ).
tcf(c_209355,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209353,c_155,c_50]) ).
tcf(c_209359,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK19(sz10,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209352,c_155,c_50]) ).
tcf(c_209362,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209351,c_155,c_50]) ).
tcf(c_209366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209354,c_155,c_50]) ).
tcf(c_209375,plain,
( ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK8,sz10) ),
inference(superposition,[status(thm)],[c_195418,c_194]) ).
tcf(c_209376,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(sz10,sK19(sz10,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195418,c_165]) ).
tcf(c_209377,plain,
( iLess0(sz10,sK8)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195418,c_173]) ).
tcf(c_209378,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_195418,c_193]) ).
tcf(c_209379,plain,
( iLess0(sz10,sK8)
| ( sz10 = sK8 )
| ( sz00 = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209377,c_73,c_155]) ).
tcf(c_209383,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(sz10,sK19(sz10,sK8)) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209376,c_73,c_155]) ).
tcf(c_209386,plain,
( ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ sdtlseqdt0(sK8,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209375,c_73,c_155]) ).
tcf(c_209390,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209378,c_73,c_155]) ).
tcf(c_209399,plain,
( ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK9,sz10) ),
inference(superposition,[status(thm)],[c_195437,c_194]) ).
tcf(c_209400,plain,
( ( sz00 = sK9 )
| ( sdtpldt0(sz10,sK19(sz10,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195437,c_165]) ).
tcf(c_209401,plain,
( iLess0(sz10,sK9)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_195437,c_173]) ).
tcf(c_209402,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_195437,c_193]) ).
tcf(c_209403,plain,
( iLess0(sz10,sK9)
| ( sz10 = sK9 )
| ( sz00 = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209401,c_81,c_155]) ).
tcf(c_209407,plain,
( ( sz00 = sK9 )
| ( sdtpldt0(sz10,sK19(sz10,sK9)) = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209400,c_81,c_155]) ).
tcf(c_209410,plain,
( ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ sdtlseqdt0(sK9,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209399,c_81,c_155]) ).
tcf(c_209414,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209402,c_81,c_155]) ).
tcf(c_209423,plain,
( ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK10,sz10) ),
inference(superposition,[status(thm)],[c_196392,c_194]) ).
tcf(c_209424,plain,
( ( sz00 = sK10 )
| ( sdtpldt0(sz10,sK19(sz10,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196392,c_165]) ).
tcf(c_209425,plain,
( iLess0(sz10,sK10)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196392,c_173]) ).
tcf(c_209426,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_196392,c_193]) ).
tcf(c_209427,plain,
( iLess0(sz10,sK10)
| ( sz10 = sK10 )
| ( sz00 = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209425,c_85,c_155]) ).
tcf(c_209431,plain,
( ( sz00 = sK10 )
| ( sdtpldt0(sz10,sK19(sz10,sK10)) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209424,c_85,c_155]) ).
tcf(c_209434,plain,
( ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ sdtlseqdt0(sK10,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209423,c_85,c_155]) ).
tcf(c_209438,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209426,c_85,c_155]) ).
tcf(c_209447,plain,
( ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK11,sz10) ),
inference(superposition,[status(thm)],[c_196533,c_194]) ).
tcf(c_209448,plain,
( ( sz00 = sK11 )
| ( sdtpldt0(sz10,sK19(sz10,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196533,c_165]) ).
tcf(c_209449,plain,
( iLess0(sz10,sK11)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_196533,c_173]) ).
tcf(c_209450,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_196533,c_193]) ).
tcf(c_209451,plain,
( iLess0(sz10,sK11)
| ( sz10 = sK11 )
| ( sz00 = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209449,c_96,c_155]) ).
tcf(c_209455,plain,
( ( sz00 = sK11 )
| ( sdtpldt0(sz10,sK19(sz10,sK11)) = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209448,c_96,c_155]) ).
tcf(c_209458,plain,
( ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ sdtlseqdt0(sK11,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209447,c_96,c_155]) ).
tcf(c_209462,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209450,c_96,c_155]) ).
tcf(c_209471,plain,
( ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK12,sz10) ),
inference(superposition,[status(thm)],[c_199105,c_194]) ).
tcf(c_209472,plain,
( ( sz00 = sK12 )
| ( sdtpldt0(sz10,sK19(sz10,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199105,c_165]) ).
tcf(c_209473,plain,
( iLess0(sz10,sK12)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199105,c_173]) ).
tcf(c_209474,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_199105,c_193]) ).
tcf(c_209475,plain,
( iLess0(sz10,sK12)
| ( sz10 = sK12 )
| ( sz00 = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209473,c_104,c_155]) ).
tcf(c_209479,plain,
( ( sz00 = sK12 )
| ( sdtpldt0(sz10,sK19(sz10,sK12)) = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209472,c_104,c_155]) ).
tcf(c_209482,plain,
( ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ sdtlseqdt0(sK12,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209471,c_104,c_155]) ).
tcf(c_209486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209474,c_104,c_155]) ).
tcf(c_209495,plain,
( ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK13,sz10) ),
inference(superposition,[status(thm)],[c_199152,c_194]) ).
tcf(c_209496,plain,
( ( sz00 = sK13 )
| ( sdtpldt0(sz10,sK19(sz10,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199152,c_165]) ).
tcf(c_209497,plain,
( iLess0(sz10,sK13)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199152,c_173]) ).
tcf(c_209498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_199152,c_193]) ).
tcf(c_209499,plain,
( iLess0(sz10,sK13)
| ( sz10 = sK13 )
| ( sz00 = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209497,c_106,c_155]) ).
tcf(c_209503,plain,
( ( sz00 = sK13 )
| ( sdtpldt0(sz10,sK19(sz10,sK13)) = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209496,c_106,c_155]) ).
tcf(c_209506,plain,
( ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ sdtlseqdt0(sK13,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209495,c_106,c_155]) ).
tcf(c_209510,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209498,c_106,c_155]) ).
tcf(c_209519,plain,
( ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK14,sz10) ),
inference(superposition,[status(thm)],[c_199228,c_194]) ).
tcf(c_209520,plain,
( ( sz00 = sK14 )
| ( sdtpldt0(sz10,sK19(sz10,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199228,c_165]) ).
tcf(c_209521,plain,
( iLess0(sz10,sK14)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199228,c_173]) ).
tcf(c_209522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_199228,c_193]) ).
tcf(c_209523,plain,
( iLess0(sz10,sK14)
| ( sz10 = sK14 )
| ( sz00 = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209521,c_110,c_155]) ).
tcf(c_209527,plain,
( ( sz00 = sK14 )
| ( sdtpldt0(sz10,sK19(sz10,sK14)) = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209520,c_110,c_155]) ).
tcf(c_209530,plain,
( ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ sdtlseqdt0(sK14,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209519,c_110,c_155]) ).
tcf(c_209534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209522,c_110,c_155]) ).
tcf(c_209543,plain,
( ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK17,sz10) ),
inference(superposition,[status(thm)],[c_199363,c_194]) ).
tcf(c_209544,plain,
( ( sz00 = sK17 )
| ( sdtpldt0(sz10,sK19(sz10,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199363,c_165]) ).
tcf(c_209545,plain,
( iLess0(sz10,sK17)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199363,c_173]) ).
tcf(c_209546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_199363,c_193]) ).
tcf(c_209547,plain,
( iLess0(sz10,sK17)
| ( sz10 = sK17 )
| ( sz00 = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209545,c_119,c_155]) ).
tcf(c_209551,plain,
( ( sz00 = sK17 )
| ( sdtpldt0(sz10,sK19(sz10,sK17)) = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209544,c_119,c_155]) ).
tcf(c_209554,plain,
( ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ sdtlseqdt0(sK17,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209543,c_119,c_155]) ).
tcf(c_209558,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209546,c_119,c_155]) ).
tcf(c_209567,plain,
( ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK18,sz10) ),
inference(superposition,[status(thm)],[c_199399,c_194]) ).
tcf(c_209568,plain,
( ( sz00 = sK18 )
| ( sdtpldt0(sz10,sK19(sz10,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199399,c_165]) ).
tcf(c_209569,plain,
( iLess0(sz10,sK18)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_199399,c_173]) ).
tcf(c_209570,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_199399,c_193]) ).
tcf(c_209571,plain,
( iLess0(sz10,sK18)
| ( sz10 = sK18 )
| ( sz00 = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209569,c_127,c_155]) ).
tcf(c_209575,plain,
( ( sz00 = sK18 )
| ( sdtpldt0(sz10,sK19(sz10,sK18)) = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209568,c_127,c_155]) ).
tcf(c_209578,plain,
( ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ sdtlseqdt0(sK18,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209567,c_127,c_155]) ).
tcf(c_209582,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209570,c_127,c_155]) ).
tcf(c_209587,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191476,c_65]) ).
tcf(c_209588,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191476,c_63]) ).
tcf(c_209589,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191476,c_67]) ).
tcf(c_209594,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191476,c_275]) ).
tcf(c_209596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191476,c_162]) ).
tcf(c_209599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_191476,c_160]) ).
tcf(c_209600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191476,c_160]) ).
tcf(c_209601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191476,c_167]) ).
tcf(c_209602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191476,c_162]) ).
tcf(c_209603,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191476,c_166]) ).
tcf(c_209604,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_209594,c_151,c_191219]) ).
tcf(c_209605,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209603,c_151,c_191219]) ).
tcf(c_209609,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209601,c_151,c_191219]) ).
tcf(c_209613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209602,c_151,c_191219]) ).
tcf(c_209618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209596,c_151,c_191219]) ).
tcf(c_209623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209600,c_151,c_191219]) ).
tcf(c_209628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209599,c_151,c_191219]) ).
tcf(c_209634,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_209588,c_191478]) ).
tcf(c_209635,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209634,c_151,c_191219]) ).
tcf(c_209642,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_209587,c_191478]) ).
tcf(c_209643,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209642,c_151,c_191219]) ).
tcf(c_209665,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_209604,c_194]) ).
tcf(c_209666,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_209604,c_165]) ).
tcf(c_209667,plain,
( iLess0(sz00,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_209604,c_173]) ).
tcf(c_209668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_209604,c_193]) ).
tcf(c_209669,plain,
iLess0(sz00,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_209667,c_194019,c_151,c_191219]) ).
tcf(c_209670,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209668,c_151,c_191219]) ).
tcf(c_209674,plain,
sdtpldt0(sz00,sK19(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209666,c_151,c_191219]) ).
tcf(c_209675,plain,
~ sdtlseqdt0(sdtasdt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209665,c_194019,c_151,c_191219]) ).
tcf(c_209697,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_207654,c_196]) ).
tcf(c_209698,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_207654,c_199]) ).
tcf(c_209701,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_207654,c_176]) ).
tcf(c_209703,plain,
sdtasdt0(sdtasdt0(xn,xm),sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209701,c_191219]) ).
tcf(c_209704,plain,
sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209698,c_194019,c_191219]) ).
tcf(c_209705,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209697,c_194019,c_191219]) ).
tcf(c_209709,plain,
( ( sdtpldt0(sdtasdt0(xn,xm),sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_207655,c_165]) ).
tcf(c_209712,plain,
sdtpldt0(sdtasdt0(xn,xm),sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209709,c_191219]) ).
tcf(c_210038,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_64]) ).
tcf(c_210039,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_62]) ).
tcf(c_210040,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_66]) ).
tcf(c_210048,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_64]) ).
tcf(c_210049,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_62]) ).
tcf(c_210050,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_66]) ).
tcf(c_210051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191478,c_141]) ).
tcf(c_210053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191478,c_141]) ).
tcf(c_210057,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_191478,c_146]) ).
tcf(c_210058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210057,c_194019,c_151,c_191219]) ).
tcf(c_210062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210053,c_194019,c_151,c_191219]) ).
tcf(c_210067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210051,c_194019,c_151,c_191219]) ).
tcf(c_210074,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210040,c_191476]) ).
tcf(c_210075,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210074,c_151,c_191219]) ).
tcf(c_210084,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210039,c_191476]) ).
tcf(c_210085,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210084,c_151,c_191219]) ).
tcf(c_210093,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210038,c_191476]) ).
tcf(c_210094,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210093,c_151,c_191219]) ).
tcf(c_210102,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_64]) ).
tcf(c_210103,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_62]) ).
tcf(c_210104,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_66]) ).
tcf(c_210110,plain,
( doDivides0(sdtasdt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191479,c_272]) ).
tcf(c_210112,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),sK7(X0,sdtasdt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_64]) ).
tcf(c_210113,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_62]) ).
tcf(c_210114,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| doDivides0(sdtasdt0(xn,xm),X0)
| sP1(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_66]) ).
tcf(c_210118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_191479,c_145]) ).
tcf(c_210119,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191479,c_139]) ).
tcf(c_210120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191479,c_139]) ).
tcf(c_210122,plain,
doDivides0(sdtasdt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_210110,c_151,c_191219]) ).
tcf(c_210123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210118,c_194019,c_151,c_191219]) ).
tcf(c_210127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210120,c_194019,c_151,c_191219]) ).
tcf(c_210132,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210119,c_194019,c_151,c_191219]) ).
tcf(c_210137,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210104,c_191477]) ).
tcf(c_210138,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210137,c_151,c_191219]) ).
tcf(c_210146,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210103,c_191477]) ).
tcf(c_210147,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210146,c_151,c_191219]) ).
tcf(c_210155,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| doDivides0(sdtasdt0(xn,xm),X0)
| sP1(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210114,c_151,c_191219]) ).
tcf(c_210163,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210113,c_151,c_191219]) ).
tcf(c_210171,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_210102,c_191477]) ).
tcf(c_210172,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210171,c_151,c_191219]) ).
tcf(c_210180,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xn,xm))
| sP1(X1,sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),sK7(X0,sdtasdt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210112,c_151,c_191219]) ).
tcf(c_210188,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_210122,c_196]) ).
tcf(c_210189,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_210122,c_199]) ).
tcf(c_210191,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_210122,c_180]) ).
tcf(c_210192,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK20(sdtasdt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_210122,c_176]) ).
tcf(c_210194,plain,
sdtasdt0(sdtasdt0(xn,xm),sK20(sdtasdt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210192,c_151,c_191219]) ).
tcf(c_210195,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210191,c_151,c_191219]) ).
tcf(c_210199,plain,
sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210189,c_194019,c_151,c_191219]) ).
tcf(c_210200,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210188,c_194019,c_151,c_191219]) ).
tcf(c_210276,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191477,c_65]) ).
tcf(c_210277,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191477,c_63]) ).
tcf(c_210278,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_191477,c_67]) ).
tcf(c_210285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191477,c_162]) ).
tcf(c_210287,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191477,c_157]) ).
tcf(c_210288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191477,c_160]) ).
tcf(c_210289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_191477,c_160]) ).
tcf(c_210290,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191477,c_167]) ).
tcf(c_210291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_191477,c_162]) ).
tcf(c_210292,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191477,c_166]) ).
tcf(c_210293,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210287,c_151,c_191219]) ).
tcf(c_210297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210292,c_151,c_191219]) ).
tcf(c_210301,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210290,c_151,c_191219]) ).
tcf(c_210305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210289,c_151,c_191219]) ).
tcf(c_210310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210288,c_151,c_191219]) ).
tcf(c_210315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210291,c_151,c_191219]) ).
tcf(c_210320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210285,c_151,c_191219]) ).
tcf(c_210325,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_210278,c_191479]) ).
tcf(c_210326,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210325,c_151,c_191219]) ).
tcf(c_210333,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_210277,c_191479]) ).
tcf(c_210334,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210333,c_151,c_191219]) ).
tcf(c_210341,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_210276,c_191479]) ).
tcf(c_210342,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtasdt0(xn,xm),X0)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210341,c_151,c_191219]) ).
tcf(c_210349,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192718,c_65]) ).
tcf(c_210350,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192718,c_63]) ).
tcf(c_210351,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192718,c_67]) ).
tcf(c_210358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_192718,c_162]) ).
tcf(c_210360,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_192718,c_157]) ).
tcf(c_210361,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ sdtlseqdt0(sK19(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_192718,c_160]) ).
tcf(c_210362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ sdtlseqdt0(X0,sK19(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_192718,c_160]) ).
tcf(c_210363,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ( sdtpldt0(X0,sK19(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_192718,c_167]) ).
tcf(c_210364,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK19(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_192718,c_162]) ).
tcf(c_210365,plain,
! [X0: $i] :
( ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_192718,c_166]) ).
tcf(c_210366,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210360,c_155]) ).
tcf(c_210371,plain,
! [X0: $i] :
( ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210365,c_155]) ).
tcf(c_210376,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ( sdtpldt0(X0,sK19(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210363,c_155]) ).
tcf(c_210381,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK19(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210364,c_155]) ).
tcf(c_210387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210358,c_155]) ).
tcf(c_210393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ sdtlseqdt0(X0,sK19(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210362,c_155]) ).
tcf(c_210399,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK19(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ sdtlseqdt0(sK19(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210361,c_155]) ).
tcf(c_210405,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210351,c_155]) ).
tcf(c_210413,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210350,c_155]) ).
tcf(c_210421,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210349,c_155]) ).
tcf(c_210429,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK18,sK18),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192719,c_65]) ).
tcf(c_210430,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK19(sK18,sK18),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192719,c_63]) ).
tcf(c_210431,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK19(sK18,sK18),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192719,c_67]) ).
tcf(c_210434,plain,
( ( sK19(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sz00 != sK18 ) ),
inference(superposition,[status(thm)],[c_192719,c_144]) ).
tcf(c_210438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK18,sK18)),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_192719,c_162]) ).
tcf(c_210440,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK18,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_192719,c_157]) ).
tcf(c_210441,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sK18,X0))
| ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ sdtlseqdt0(sK19(sK18,sK18),X0) ),
inference(superposition,[status(thm)],[c_192719,c_160]) ).
tcf(c_210442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sK18)
| ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ sdtlseqdt0(X0,sK19(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_192719,c_160]) ).
tcf(c_210443,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sdtpldt0(X0,sK19(sK18,sK18)) != sK18 ) ),
inference(superposition,[status(thm)],[c_192719,c_167]) ).
tcf(c_210444,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK19(sK18,sK18)))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_192719,c_162]) ).
tcf(c_210445,plain,
! [X0: $i] :
( ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sdtpldt0(sK18,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_192719,c_166]) ).
tcf(c_210446,plain,
( ( sK19(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sz00 != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210434,c_127]) ).
tcf(c_210450,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK18,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210440,c_127]) ).
tcf(c_210455,plain,
! [X0: $i] :
( ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sdtpldt0(sK18,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210445,c_127]) ).
tcf(c_210460,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ( sdtpldt0(X0,sK19(sK18,sK18)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210443,c_127]) ).
tcf(c_210465,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK19(sK18,sK18)))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210444,c_127]) ).
tcf(c_210471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK18,sK18)),sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK19(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210438,c_127]) ).
tcf(c_210477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sK18)
| ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ sdtlseqdt0(X0,sK19(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210442,c_127]) ).
tcf(c_210483,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sK18,X0))
| ( sK19(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ sdtlseqdt0(sK19(sK18,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210441,c_127]) ).
tcf(c_210489,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK19(sK18,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210431,c_127]) ).
tcf(c_210497,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK19(sK18,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210430,c_127]) ).
tcf(c_210505,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK18,sK18),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK18,sK18))
| ~ doDivides0(X0,sdtasdt0(sK18,sK19(sK18,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210429,c_127]) ).
tcf(c_210539,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK17,sK17),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192720,c_65]) ).
tcf(c_210540,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK19(sK17,sK17),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192720,c_63]) ).
tcf(c_210541,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK19(sK17,sK17),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192720,c_67]) ).
tcf(c_210544,plain,
( ( sK19(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sz00 != sK17 ) ),
inference(superposition,[status(thm)],[c_192720,c_144]) ).
tcf(c_210548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK17,sK17)),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_192720,c_162]) ).
tcf(c_210550,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK17,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_192720,c_157]) ).
tcf(c_210551,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sK17,X0))
| ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ sdtlseqdt0(sK19(sK17,sK17),X0) ),
inference(superposition,[status(thm)],[c_192720,c_160]) ).
tcf(c_210552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sK17)
| ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ sdtlseqdt0(X0,sK19(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_192720,c_160]) ).
tcf(c_210553,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sdtpldt0(X0,sK19(sK17,sK17)) != sK17 ) ),
inference(superposition,[status(thm)],[c_192720,c_167]) ).
tcf(c_210554,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK19(sK17,sK17)))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_192720,c_162]) ).
tcf(c_210555,plain,
! [X0: $i] :
( ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sdtpldt0(sK17,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_192720,c_166]) ).
tcf(c_210556,plain,
( ( sK19(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sz00 != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210544,c_119]) ).
tcf(c_210560,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK17,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210550,c_119]) ).
tcf(c_210565,plain,
! [X0: $i] :
( ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sdtpldt0(sK17,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210555,c_119]) ).
tcf(c_210570,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ( sdtpldt0(X0,sK19(sK17,sK17)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210553,c_119]) ).
tcf(c_210575,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK19(sK17,sK17)))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210554,c_119]) ).
tcf(c_210581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK17,sK17)),sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK19(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210548,c_119]) ).
tcf(c_210587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sK17)
| ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ sdtlseqdt0(X0,sK19(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210552,c_119]) ).
tcf(c_210593,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sK17,X0))
| ( sK19(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ sdtlseqdt0(sK19(sK17,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210551,c_119]) ).
tcf(c_210599,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK19(sK17,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210541,c_119]) ).
tcf(c_210607,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK19(sK17,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210540,c_119]) ).
tcf(c_210615,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK17,sK17),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK17,sK17))
| ~ doDivides0(X0,sdtasdt0(sK17,sK19(sK17,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210539,c_119]) ).
tcf(c_210623,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK14,sK14),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192721,c_65]) ).
tcf(c_210624,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK19(sK14,sK14),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192721,c_63]) ).
tcf(c_210625,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK19(sK14,sK14),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192721,c_67]) ).
tcf(c_210628,plain,
( ( sK19(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sz00 != sK14 ) ),
inference(superposition,[status(thm)],[c_192721,c_144]) ).
tcf(c_210632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK14,sK14)),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_192721,c_162]) ).
tcf(c_210634,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK14,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_192721,c_157]) ).
tcf(c_210635,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sK14,X0))
| ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ sdtlseqdt0(sK19(sK14,sK14),X0) ),
inference(superposition,[status(thm)],[c_192721,c_160]) ).
tcf(c_210636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sK14)
| ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ sdtlseqdt0(X0,sK19(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_192721,c_160]) ).
tcf(c_210637,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sdtpldt0(X0,sK19(sK14,sK14)) != sK14 ) ),
inference(superposition,[status(thm)],[c_192721,c_167]) ).
tcf(c_210638,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK19(sK14,sK14)))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_192721,c_162]) ).
tcf(c_210639,plain,
! [X0: $i] :
( ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sdtpldt0(sK14,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_192721,c_166]) ).
tcf(c_210640,plain,
( ( sK19(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sz00 != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210628,c_110]) ).
tcf(c_210644,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK14,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210634,c_110]) ).
tcf(c_210649,plain,
! [X0: $i] :
( ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sdtpldt0(sK14,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210639,c_110]) ).
tcf(c_210654,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ( sdtpldt0(X0,sK19(sK14,sK14)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210637,c_110]) ).
tcf(c_210659,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK19(sK14,sK14)))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210638,c_110]) ).
tcf(c_210665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK14,sK14)),sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK19(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210632,c_110]) ).
tcf(c_210671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sK14)
| ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ sdtlseqdt0(X0,sK19(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210636,c_110]) ).
tcf(c_210677,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sK14,X0))
| ( sK19(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ sdtlseqdt0(sK19(sK14,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210635,c_110]) ).
tcf(c_210683,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK19(sK14,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210625,c_110]) ).
tcf(c_210691,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK19(sK14,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210624,c_110]) ).
tcf(c_210699,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK14,sK14),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK14,sK14))
| ~ doDivides0(X0,sdtasdt0(sK14,sK19(sK14,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210623,c_110]) ).
tcf(c_210765,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK13,sK13),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192722,c_65]) ).
tcf(c_210766,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK19(sK13,sK13),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192722,c_63]) ).
tcf(c_210767,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK19(sK13,sK13),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192722,c_67]) ).
tcf(c_210770,plain,
( ( sK19(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sz00 != sK13 ) ),
inference(superposition,[status(thm)],[c_192722,c_144]) ).
tcf(c_210774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK13,sK13)),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_192722,c_162]) ).
tcf(c_210776,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK13,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_192722,c_157]) ).
tcf(c_210777,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sK13,X0))
| ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ sdtlseqdt0(sK19(sK13,sK13),X0) ),
inference(superposition,[status(thm)],[c_192722,c_160]) ).
tcf(c_210778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sK13)
| ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ sdtlseqdt0(X0,sK19(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_192722,c_160]) ).
tcf(c_210779,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sdtpldt0(X0,sK19(sK13,sK13)) != sK13 ) ),
inference(superposition,[status(thm)],[c_192722,c_167]) ).
tcf(c_210780,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK19(sK13,sK13)))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_192722,c_162]) ).
tcf(c_210781,plain,
! [X0: $i] :
( ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sdtpldt0(sK13,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_192722,c_166]) ).
tcf(c_210782,plain,
( ( sK19(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sz00 != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210770,c_106]) ).
tcf(c_210786,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK13,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210776,c_106]) ).
tcf(c_210791,plain,
! [X0: $i] :
( ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sdtpldt0(sK13,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210781,c_106]) ).
tcf(c_210796,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ( sdtpldt0(X0,sK19(sK13,sK13)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210779,c_106]) ).
tcf(c_210801,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK19(sK13,sK13)))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210780,c_106]) ).
tcf(c_210807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK13,sK13)),sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK19(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210774,c_106]) ).
tcf(c_210813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sK13)
| ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ sdtlseqdt0(X0,sK19(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210778,c_106]) ).
tcf(c_210819,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sK13,X0))
| ( sK19(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ sdtlseqdt0(sK19(sK13,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210777,c_106]) ).
tcf(c_210825,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK19(sK13,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210767,c_106]) ).
tcf(c_210833,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK19(sK13,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210766,c_106]) ).
tcf(c_210841,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK13,sK13),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK13,sK13))
| ~ doDivides0(X0,sdtasdt0(sK13,sK19(sK13,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210765,c_106]) ).
tcf(c_210849,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK12,sK12),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192723,c_65]) ).
tcf(c_210850,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK19(sK12,sK12),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192723,c_63]) ).
tcf(c_210851,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK19(sK12,sK12),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192723,c_67]) ).
tcf(c_210854,plain,
( ( sK19(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sz00 != sK12 ) ),
inference(superposition,[status(thm)],[c_192723,c_144]) ).
tcf(c_210858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK12,sK12)),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_192723,c_162]) ).
tcf(c_210860,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK12,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_192723,c_157]) ).
tcf(c_210861,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sK12,X0))
| ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ sdtlseqdt0(sK19(sK12,sK12),X0) ),
inference(superposition,[status(thm)],[c_192723,c_160]) ).
tcf(c_210862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sK12)
| ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ sdtlseqdt0(X0,sK19(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_192723,c_160]) ).
tcf(c_210863,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sdtpldt0(X0,sK19(sK12,sK12)) != sK12 ) ),
inference(superposition,[status(thm)],[c_192723,c_167]) ).
tcf(c_210864,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK19(sK12,sK12)))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_192723,c_162]) ).
tcf(c_210865,plain,
! [X0: $i] :
( ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sdtpldt0(sK12,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_192723,c_166]) ).
tcf(c_210866,plain,
( ( sK19(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sz00 != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210854,c_104]) ).
tcf(c_210870,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK12,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210860,c_104]) ).
tcf(c_210875,plain,
! [X0: $i] :
( ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sdtpldt0(sK12,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210865,c_104]) ).
tcf(c_210880,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ( sdtpldt0(X0,sK19(sK12,sK12)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210863,c_104]) ).
tcf(c_210885,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK19(sK12,sK12)))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210864,c_104]) ).
tcf(c_210891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK12,sK12)),sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK19(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210858,c_104]) ).
tcf(c_210897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sK12)
| ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ sdtlseqdt0(X0,sK19(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210862,c_104]) ).
tcf(c_210903,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sK12,X0))
| ( sK19(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ sdtlseqdt0(sK19(sK12,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210861,c_104]) ).
tcf(c_210909,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK19(sK12,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210851,c_104]) ).
tcf(c_210917,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK19(sK12,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210850,c_104]) ).
tcf(c_210925,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK12,sK12),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK12,sK12))
| ~ doDivides0(X0,sdtasdt0(sK12,sK19(sK12,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210849,c_104]) ).
tcf(c_210933,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK11,sK11),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192724,c_65]) ).
tcf(c_210934,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK19(sK11,sK11),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192724,c_63]) ).
tcf(c_210935,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK19(sK11,sK11),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192724,c_67]) ).
tcf(c_210938,plain,
( ( sK19(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sz00 != sK11 ) ),
inference(superposition,[status(thm)],[c_192724,c_144]) ).
tcf(c_210942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK11,sK11)),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_192724,c_162]) ).
tcf(c_210944,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK11,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_192724,c_157]) ).
tcf(c_210945,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sK11,X0))
| ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ sdtlseqdt0(sK19(sK11,sK11),X0) ),
inference(superposition,[status(thm)],[c_192724,c_160]) ).
tcf(c_210946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sK11)
| ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ sdtlseqdt0(X0,sK19(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_192724,c_160]) ).
tcf(c_210947,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sdtpldt0(X0,sK19(sK11,sK11)) != sK11 ) ),
inference(superposition,[status(thm)],[c_192724,c_167]) ).
tcf(c_210948,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK19(sK11,sK11)))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_192724,c_162]) ).
tcf(c_210949,plain,
! [X0: $i] :
( ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sdtpldt0(sK11,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_192724,c_166]) ).
tcf(c_210950,plain,
( ( sK19(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sz00 != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210938,c_96]) ).
tcf(c_210954,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK11,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210944,c_96]) ).
tcf(c_210959,plain,
! [X0: $i] :
( ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sdtpldt0(sK11,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210949,c_96]) ).
tcf(c_210964,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ( sdtpldt0(X0,sK19(sK11,sK11)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210947,c_96]) ).
tcf(c_210969,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK19(sK11,sK11)))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210948,c_96]) ).
tcf(c_210975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK11,sK11)),sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK19(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210942,c_96]) ).
tcf(c_210981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sK11)
| ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ sdtlseqdt0(X0,sK19(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210946,c_96]) ).
tcf(c_210987,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sK11,X0))
| ( sK19(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ sdtlseqdt0(sK19(sK11,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210945,c_96]) ).
tcf(c_210993,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK19(sK11,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210935,c_96]) ).
tcf(c_211001,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK19(sK11,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210934,c_96]) ).
tcf(c_211009,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK11,sK11),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK11,sK11))
| ~ doDivides0(X0,sdtasdt0(sK11,sK19(sK11,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210933,c_96]) ).
tcf(c_211150,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192725,c_65]) ).
tcf(c_211151,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192725,c_63]) ).
tcf(c_211152,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192725,c_67]) ).
tcf(c_211159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(superposition,[status(thm)],[c_192725,c_162]) ).
tcf(c_211161,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(superposition,[status(thm)],[c_192725,c_157]) ).
tcf(c_211162,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ sdtlseqdt0(sK19(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_192725,c_160]) ).
tcf(c_211163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ sdtlseqdt0(X0,sK19(xr,xr)) ),
inference(superposition,[status(thm)],[c_192725,c_160]) ).
tcf(c_211164,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ( sdtpldt0(X0,sK19(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_192725,c_167]) ).
tcf(c_211165,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(superposition,[status(thm)],[c_192725,c_162]) ).
tcf(c_211166,plain,
! [X0: $i] :
( ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_192725,c_166]) ).
tcf(c_211167,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211161,c_95]) ).
tcf(c_211172,plain,
! [X0: $i] :
( ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211166,c_95]) ).
tcf(c_211177,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ( sdtpldt0(X0,sK19(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211164,c_95]) ).
tcf(c_211182,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211165,c_95]) ).
tcf(c_211188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211159,c_95]) ).
tcf(c_211194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ sdtlseqdt0(X0,sK19(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211163,c_95]) ).
tcf(c_211200,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK19(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ sdtlseqdt0(sK19(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211162,c_95]) ).
tcf(c_211206,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211152,c_95]) ).
tcf(c_211214,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211151,c_95]) ).
tcf(c_211222,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211150,c_95]) ).
tcf(c_211230,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192726,c_65]) ).
tcf(c_211231,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK19(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192726,c_63]) ).
tcf(c_211232,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK19(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192726,c_67]) ).
tcf(c_211239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xk,xk)),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(superposition,[status(thm)],[c_192726,c_162]) ).
tcf(c_211241,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xk,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(superposition,[status(thm)],[c_192726,c_157]) ).
tcf(c_211242,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ sdtlseqdt0(sK19(xk,xk),X0) ),
inference(superposition,[status(thm)],[c_192726,c_160]) ).
tcf(c_211243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ sdtlseqdt0(X0,sK19(xk,xk)) ),
inference(superposition,[status(thm)],[c_192726,c_160]) ).
tcf(c_211244,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ( sdtpldt0(X0,sK19(xk,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_192726,c_167]) ).
tcf(c_211245,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(xk,xk)))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(superposition,[status(thm)],[c_192726,c_162]) ).
tcf(c_211246,plain,
! [X0: $i] :
( ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ( sdtpldt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_192726,c_166]) ).
tcf(c_211247,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xk,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211241,c_88]) ).
tcf(c_211252,plain,
! [X0: $i] :
( ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ( sdtpldt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211246,c_88]) ).
tcf(c_211257,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ( sdtpldt0(X0,sK19(xk,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211244,c_88]) ).
tcf(c_211262,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(xk,xk)))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211245,c_88]) ).
tcf(c_211268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xk,xk)),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211239,c_88]) ).
tcf(c_211274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ sdtlseqdt0(X0,sK19(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211243,c_88]) ).
tcf(c_211280,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( sK19(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ sdtlseqdt0(sK19(xk,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211242,c_88]) ).
tcf(c_211286,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK19(xk,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211232,c_88]) ).
tcf(c_211294,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK19(xk,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211231,c_88]) ).
tcf(c_211302,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xk))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211230,c_88]) ).
tcf(c_211350,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK10,sK10),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192727,c_65]) ).
tcf(c_211351,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK19(sK10,sK10),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192727,c_63]) ).
tcf(c_211352,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK19(sK10,sK10),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192727,c_67]) ).
tcf(c_211355,plain,
( ( sK19(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sz00 != sK10 ) ),
inference(superposition,[status(thm)],[c_192727,c_144]) ).
tcf(c_211359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK10,sK10)),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_192727,c_162]) ).
tcf(c_211361,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK10,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_192727,c_157]) ).
tcf(c_211362,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sK10,X0))
| ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ sdtlseqdt0(sK19(sK10,sK10),X0) ),
inference(superposition,[status(thm)],[c_192727,c_160]) ).
tcf(c_211363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sK10)
| ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ sdtlseqdt0(X0,sK19(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_192727,c_160]) ).
tcf(c_211364,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sdtpldt0(X0,sK19(sK10,sK10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_192727,c_167]) ).
tcf(c_211365,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK19(sK10,sK10)))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_192727,c_162]) ).
tcf(c_211366,plain,
! [X0: $i] :
( ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sdtpldt0(sK10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_192727,c_166]) ).
tcf(c_211367,plain,
( ( sK19(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sz00 != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211355,c_85]) ).
tcf(c_211371,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK10,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211361,c_85]) ).
tcf(c_211376,plain,
! [X0: $i] :
( ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sdtpldt0(sK10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211366,c_85]) ).
tcf(c_211381,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ( sdtpldt0(X0,sK19(sK10,sK10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211364,c_85]) ).
tcf(c_211386,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK19(sK10,sK10)))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211365,c_85]) ).
tcf(c_211392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK10,sK10)),sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211359,c_85]) ).
tcf(c_211398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sK10)
| ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ sdtlseqdt0(X0,sK19(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211363,c_85]) ).
tcf(c_211404,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sK10,X0))
| ( sK19(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ sdtlseqdt0(sK19(sK10,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211362,c_85]) ).
tcf(c_211410,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK19(sK10,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211352,c_85]) ).
tcf(c_211418,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK19(sK10,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211351,c_85]) ).
tcf(c_211426,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK10,sK10),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,sK10))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211350,c_85]) ).
tcf(c_211434,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK9,sK9),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192728,c_65]) ).
tcf(c_211435,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK19(sK9,sK9),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192728,c_63]) ).
tcf(c_211436,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK19(sK9,sK9),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192728,c_67]) ).
tcf(c_211439,plain,
( ( sK19(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sz00 != sK9 ) ),
inference(superposition,[status(thm)],[c_192728,c_144]) ).
tcf(c_211443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK9,sK9)),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_192728,c_162]) ).
tcf(c_211445,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK9,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_192728,c_157]) ).
tcf(c_211446,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sK9,X0))
| ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ sdtlseqdt0(sK19(sK9,sK9),X0) ),
inference(superposition,[status(thm)],[c_192728,c_160]) ).
tcf(c_211447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sK9)
| ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ sdtlseqdt0(X0,sK19(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_192728,c_160]) ).
tcf(c_211448,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sdtpldt0(X0,sK19(sK9,sK9)) != sK9 ) ),
inference(superposition,[status(thm)],[c_192728,c_167]) ).
tcf(c_211449,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK19(sK9,sK9)))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_192728,c_162]) ).
tcf(c_211450,plain,
! [X0: $i] :
( ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sdtpldt0(sK9,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_192728,c_166]) ).
tcf(c_211451,plain,
( ( sK19(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sz00 != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211439,c_81]) ).
tcf(c_211455,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK9,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211445,c_81]) ).
tcf(c_211460,plain,
! [X0: $i] :
( ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sdtpldt0(sK9,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211450,c_81]) ).
tcf(c_211465,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ( sdtpldt0(X0,sK19(sK9,sK9)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211448,c_81]) ).
tcf(c_211470,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK19(sK9,sK9)))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211449,c_81]) ).
tcf(c_211476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK9,sK9)),sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211443,c_81]) ).
tcf(c_211482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sK9)
| ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ sdtlseqdt0(X0,sK19(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211447,c_81]) ).
tcf(c_211488,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sK9,X0))
| ( sK19(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ sdtlseqdt0(sK19(sK9,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211446,c_81]) ).
tcf(c_211494,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK19(sK9,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211436,c_81]) ).
tcf(c_211502,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK19(sK9,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211435,c_81]) ).
tcf(c_211510,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK9,sK9),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,sK9))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211434,c_81]) ).
tcf(c_211518,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK8,sK8),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192729,c_65]) ).
tcf(c_211519,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK19(sK8,sK8),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192729,c_63]) ).
tcf(c_211520,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK19(sK8,sK8),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192729,c_67]) ).
tcf(c_211523,plain,
( ( sK19(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sz00 != sK8 ) ),
inference(superposition,[status(thm)],[c_192729,c_144]) ).
tcf(c_211527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK8,sK8)),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_192729,c_162]) ).
tcf(c_211529,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK8,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_192729,c_157]) ).
tcf(c_211530,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sK8,X0))
| ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ sdtlseqdt0(sK19(sK8,sK8),X0) ),
inference(superposition,[status(thm)],[c_192729,c_160]) ).
tcf(c_211531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sK8)
| ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ sdtlseqdt0(X0,sK19(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_192729,c_160]) ).
tcf(c_211532,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sdtpldt0(X0,sK19(sK8,sK8)) != sK8 ) ),
inference(superposition,[status(thm)],[c_192729,c_167]) ).
tcf(c_211533,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK19(sK8,sK8)))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_192729,c_162]) ).
tcf(c_211534,plain,
! [X0: $i] :
( ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sdtpldt0(sK8,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_192729,c_166]) ).
tcf(c_211535,plain,
( ( sK19(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sz00 != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211523,c_73]) ).
tcf(c_211539,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK8,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211529,c_73]) ).
tcf(c_211544,plain,
! [X0: $i] :
( ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sdtpldt0(sK8,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211534,c_73]) ).
tcf(c_211549,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ( sdtpldt0(X0,sK19(sK8,sK8)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211532,c_73]) ).
tcf(c_211554,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK19(sK8,sK8)))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211533,c_73]) ).
tcf(c_211560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK8,sK8)),sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK19(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211527,c_73]) ).
tcf(c_211566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sK8)
| ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ sdtlseqdt0(X0,sK19(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211531,c_73]) ).
tcf(c_211572,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sK8,X0))
| ( sK19(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ sdtlseqdt0(sK19(sK8,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211530,c_73]) ).
tcf(c_211578,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK19(sK8,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211520,c_73]) ).
tcf(c_211586,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK19(sK8,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211519,c_73]) ).
tcf(c_211594,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK8,sK8),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK8,sK8))
| ~ doDivides0(X0,sdtasdt0(sK8,sK19(sK8,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211518,c_73]) ).
tcf(c_211633,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192730,c_65]) ).
tcf(c_211634,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK19(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192730,c_63]) ).
tcf(c_211635,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK19(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192730,c_67]) ).
tcf(c_211644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(superposition,[status(thm)],[c_192730,c_162]) ).
tcf(c_211646,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(superposition,[status(thm)],[c_192730,c_157]) ).
tcf(c_211647,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ sdtlseqdt0(sK19(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_192730,c_160]) ).
tcf(c_211648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ sdtlseqdt0(X0,sK19(xp,xp)) ),
inference(superposition,[status(thm)],[c_192730,c_160]) ).
tcf(c_211649,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ( sdtpldt0(X0,sK19(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_192730,c_167]) ).
tcf(c_211650,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(superposition,[status(thm)],[c_192730,c_162]) ).
tcf(c_211651,plain,
! [X0: $i] :
( ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_192730,c_166]) ).
tcf(c_211652,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211646,c_51]) ).
tcf(c_211657,plain,
! [X0: $i] :
( ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211651,c_51]) ).
tcf(c_211662,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ( sdtpldt0(X0,sK19(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211649,c_51]) ).
tcf(c_211667,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211650,c_51]) ).
tcf(c_211673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211644,c_51]) ).
tcf(c_211679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ sdtlseqdt0(X0,sK19(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211648,c_51]) ).
tcf(c_211685,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK19(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ sdtlseqdt0(sK19(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211647,c_51]) ).
tcf(c_211691,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK19(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211635,c_51]) ).
tcf(c_211699,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK19(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211634,c_51]) ).
tcf(c_211707,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211633,c_51]) ).
tcf(c_211722,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xm,xm),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192731,c_65]) ).
tcf(c_211723,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK19(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192731,c_63]) ).
tcf(c_211724,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK19(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192731,c_67]) ).
tcf(c_211727,plain,
( ( sK19(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK19(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_192731,c_144]) ).
tcf(c_211731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(superposition,[status(thm)],[c_192731,c_162]) ).
tcf(c_211733,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(superposition,[status(thm)],[c_192731,c_157]) ).
tcf(c_211734,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ sdtlseqdt0(sK19(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_192731,c_160]) ).
tcf(c_211735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ sdtlseqdt0(X0,sK19(xm,xm)) ),
inference(superposition,[status(thm)],[c_192731,c_160]) ).
tcf(c_211736,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ( sdtpldt0(X0,sK19(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_192731,c_167]) ).
tcf(c_211737,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(superposition,[status(thm)],[c_192731,c_162]) ).
tcf(c_211738,plain,
! [X0: $i] :
( ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_192731,c_166]) ).
tcf(c_211739,plain,
( ( sK19(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK19(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211727,c_50]) ).
tcf(c_211743,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211733,c_50]) ).
tcf(c_211748,plain,
! [X0: $i] :
( ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211738,c_50]) ).
tcf(c_211753,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ( sdtpldt0(X0,sK19(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211736,c_50]) ).
tcf(c_211758,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211737,c_50]) ).
tcf(c_211764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211731,c_50]) ).
tcf(c_211770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ sdtlseqdt0(X0,sK19(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211735,c_50]) ).
tcf(c_211776,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK19(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ sdtlseqdt0(sK19(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211734,c_50]) ).
tcf(c_211782,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK19(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211724,c_50]) ).
tcf(c_211790,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK19(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211723,c_50]) ).
tcf(c_211798,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xm,xm),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211722,c_50]) ).
tcf(c_211864,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xn,xn),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192732,c_65]) ).
tcf(c_211865,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK19(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192732,c_63]) ).
tcf(c_211866,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK19(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192732,c_67]) ).
tcf(c_211869,plain,
( ( sK19(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK19(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_192732,c_144]) ).
tcf(c_211873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(superposition,[status(thm)],[c_192732,c_162]) ).
tcf(c_211875,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(superposition,[status(thm)],[c_192732,c_157]) ).
tcf(c_211876,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ sdtlseqdt0(sK19(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_192732,c_160]) ).
tcf(c_211877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ sdtlseqdt0(X0,sK19(xn,xn)) ),
inference(superposition,[status(thm)],[c_192732,c_160]) ).
tcf(c_211878,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ( sdtpldt0(X0,sK19(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_192732,c_167]) ).
tcf(c_211879,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(superposition,[status(thm)],[c_192732,c_162]) ).
tcf(c_211880,plain,
! [X0: $i] :
( ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_192732,c_166]) ).
tcf(c_211881,plain,
( ( sK19(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK19(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211869,c_49]) ).
tcf(c_211885,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211875,c_49]) ).
tcf(c_211890,plain,
! [X0: $i] :
( ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211880,c_49]) ).
tcf(c_211895,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ( sdtpldt0(X0,sK19(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211878,c_49]) ).
tcf(c_211900,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211879,c_49]) ).
tcf(c_211906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211873,c_49]) ).
tcf(c_211912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ sdtlseqdt0(X0,sK19(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211877,c_49]) ).
tcf(c_211918,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK19(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ sdtlseqdt0(sK19(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211876,c_49]) ).
tcf(c_211924,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK19(xn,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211866,c_49]) ).
tcf(c_211932,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK19(xn,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211865,c_49]) ).
tcf(c_211940,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xn,xn),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211864,c_49]) ).
tcf(c_211948,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sz00),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192733,c_65]) ).
tcf(c_211949,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192733,c_63]) ).
tcf(c_211950,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192733,c_67]) ).
tcf(c_211953,plain,
( ( sK19(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192733,c_144]) ).
tcf(c_211957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192733,c_162]) ).
tcf(c_211959,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192733,c_157]) ).
tcf(c_211960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ sdtlseqdt0(sK19(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_192733,c_160]) ).
tcf(c_211961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ sdtlseqdt0(X0,sK19(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192733,c_160]) ).
tcf(c_211962,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ( sdtpldt0(X0,sK19(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192733,c_167]) ).
tcf(c_211963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK19(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192733,c_162]) ).
tcf(c_211964,plain,
! [X0: $i] :
( ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192733,c_166]) ).
tcf(c_211965,plain,
( ( sK19(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211953,c_151]) ).
tcf(c_211968,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211959,c_151]) ).
tcf(c_211973,plain,
! [X0: $i] :
( ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211964,c_151]) ).
tcf(c_211978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ( sdtpldt0(X0,sK19(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211962,c_151]) ).
tcf(c_211983,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK19(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211963,c_151]) ).
tcf(c_211989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211957,c_151]) ).
tcf(c_211995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ sdtlseqdt0(X0,sK19(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211961,c_151]) ).
tcf(c_212001,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK19(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ sdtlseqdt0(sK19(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211960,c_151]) ).
tcf(c_212007,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211950,c_151]) ).
tcf(c_212015,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211949,c_151]) ).
tcf(c_212023,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sz00),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211948,c_151]) ).
tcf(c_212131,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192736,c_65]) ).
tcf(c_212132,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192736,c_63]) ).
tcf(c_212133,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192736,c_67]) ).
tcf(c_212136,plain,
( ( sK19(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sz00 != sK17 ) ),
inference(superposition,[status(thm)],[c_192736,c_144]) ).
tcf(c_212140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK17)),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_192736,c_162]) ).
tcf(c_212141,plain,
! [X0: $i] :
( doDivides0(X0,sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sK19(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_192736,c_158]) ).
tcf(c_212142,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_192736,c_157]) ).
tcf(c_212143,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ sdtlseqdt0(sK19(sz00,sK17),X0) ),
inference(superposition,[status(thm)],[c_192736,c_160]) ).
tcf(c_212144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK17)
| ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ sdtlseqdt0(X0,sK19(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_192736,c_160]) ).
tcf(c_212145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sdtpldt0(X0,sK19(sz00,sK17)) != sK17 ) ),
inference(superposition,[status(thm)],[c_192736,c_167]) ).
tcf(c_212146,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK19(sz00,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_192736,c_162]) ).
tcf(c_212147,plain,
! [X0: $i] :
( ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sdtpldt0(sz00,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_192736,c_166]) ).
tcf(c_212148,plain,
( ( sK19(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sz00 != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212136,c_151]) ).
tcf(c_212152,plain,
! [X0: $i] :
( ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sdtpldt0(sz00,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212147,c_151]) ).
tcf(c_212157,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ( sdtpldt0(X0,sK19(sz00,sK17)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212145,c_151]) ).
tcf(c_212162,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212142,c_151]) ).
tcf(c_212168,plain,
! [X0: $i] :
( doDivides0(X0,sK17)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sK19(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212141,c_151]) ).
tcf(c_212174,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(X0,sK19(sz00,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212146,c_151]) ).
tcf(c_212180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK17)),sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212140,c_151]) ).
tcf(c_212186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK17)
| ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ sdtlseqdt0(X0,sK19(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212144,c_151]) ).
tcf(c_212192,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ sdtlseqdt0(sK19(sz00,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212143,c_151]) ).
tcf(c_212198,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212133,c_151]) ).
tcf(c_212206,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212132,c_151]) ).
tcf(c_212214,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK17)))
| ~ iLess0(sdtpldt0(sK17,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212131,c_151]) ).
tcf(c_212261,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192737,c_65]) ).
tcf(c_212262,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192737,c_63]) ).
tcf(c_212263,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192737,c_67]) ).
tcf(c_212266,plain,
( ( sK19(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sz00 != sK14 ) ),
inference(superposition,[status(thm)],[c_192737,c_144]) ).
tcf(c_212270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK14)),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_192737,c_162]) ).
tcf(c_212271,plain,
! [X0: $i] :
( doDivides0(X0,sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sK19(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_192737,c_158]) ).
tcf(c_212272,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_192737,c_157]) ).
tcf(c_212273,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ sdtlseqdt0(sK19(sz00,sK14),X0) ),
inference(superposition,[status(thm)],[c_192737,c_160]) ).
tcf(c_212274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK14)
| ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ sdtlseqdt0(X0,sK19(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_192737,c_160]) ).
tcf(c_212275,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sdtpldt0(X0,sK19(sz00,sK14)) != sK14 ) ),
inference(superposition,[status(thm)],[c_192737,c_167]) ).
tcf(c_212276,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK19(sz00,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_192737,c_162]) ).
tcf(c_212277,plain,
! [X0: $i] :
( ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sdtpldt0(sz00,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_192737,c_166]) ).
tcf(c_212278,plain,
( ( sK19(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sz00 != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212266,c_151]) ).
tcf(c_212282,plain,
! [X0: $i] :
( ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sdtpldt0(sz00,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212277,c_151]) ).
tcf(c_212287,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ( sdtpldt0(X0,sK19(sz00,sK14)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212275,c_151]) ).
tcf(c_212292,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212272,c_151]) ).
tcf(c_212298,plain,
! [X0: $i] :
( doDivides0(X0,sK14)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sK19(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212271,c_151]) ).
tcf(c_212304,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(X0,sK19(sz00,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212276,c_151]) ).
tcf(c_212310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK14)),sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212270,c_151]) ).
tcf(c_212316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK14)
| ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ sdtlseqdt0(X0,sK19(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212274,c_151]) ).
tcf(c_212322,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ sdtlseqdt0(sK19(sz00,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212273,c_151]) ).
tcf(c_212328,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212263,c_151]) ).
tcf(c_212336,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212262,c_151]) ).
tcf(c_212344,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK14)))
| ~ iLess0(sdtpldt0(sK14,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212261,c_151]) ).
tcf(c_212377,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192738,c_65]) ).
tcf(c_212378,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192738,c_63]) ).
tcf(c_212379,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192738,c_67]) ).
tcf(c_212382,plain,
( ( sK19(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sz00 != sK13 ) ),
inference(superposition,[status(thm)],[c_192738,c_144]) ).
tcf(c_212386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK13)),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_192738,c_162]) ).
tcf(c_212387,plain,
! [X0: $i] :
( doDivides0(X0,sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sK19(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_192738,c_158]) ).
tcf(c_212388,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_192738,c_157]) ).
tcf(c_212389,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ sdtlseqdt0(sK19(sz00,sK13),X0) ),
inference(superposition,[status(thm)],[c_192738,c_160]) ).
tcf(c_212390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK13)
| ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ sdtlseqdt0(X0,sK19(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_192738,c_160]) ).
tcf(c_212391,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sdtpldt0(X0,sK19(sz00,sK13)) != sK13 ) ),
inference(superposition,[status(thm)],[c_192738,c_167]) ).
tcf(c_212392,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK19(sz00,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_192738,c_162]) ).
tcf(c_212393,plain,
! [X0: $i] :
( ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sdtpldt0(sz00,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_192738,c_166]) ).
tcf(c_212394,plain,
( ( sK19(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sz00 != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212382,c_151]) ).
tcf(c_212398,plain,
! [X0: $i] :
( ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sdtpldt0(sz00,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212393,c_151]) ).
tcf(c_212403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ( sdtpldt0(X0,sK19(sz00,sK13)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212391,c_151]) ).
tcf(c_212408,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212388,c_151]) ).
tcf(c_212414,plain,
! [X0: $i] :
( doDivides0(X0,sK13)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sK19(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212387,c_151]) ).
tcf(c_212420,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(X0,sK19(sz00,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212392,c_151]) ).
tcf(c_212426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK13)),sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212386,c_151]) ).
tcf(c_212432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK13)
| ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ sdtlseqdt0(X0,sK19(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212390,c_151]) ).
tcf(c_212438,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ sdtlseqdt0(sK19(sz00,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212389,c_151]) ).
tcf(c_212444,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212379,c_151]) ).
tcf(c_212452,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212378,c_151]) ).
tcf(c_212460,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK13)))
| ~ iLess0(sdtpldt0(sK13,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212377,c_151]) ).
tcf(c_212503,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192739,c_65]) ).
tcf(c_212504,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192739,c_63]) ).
tcf(c_212505,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192739,c_67]) ).
tcf(c_212508,plain,
( ( sK19(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sz00 != sK12 ) ),
inference(superposition,[status(thm)],[c_192739,c_144]) ).
tcf(c_212512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK12)),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_192739,c_162]) ).
tcf(c_212513,plain,
! [X0: $i] :
( doDivides0(X0,sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sK19(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_192739,c_158]) ).
tcf(c_212514,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_192739,c_157]) ).
tcf(c_212515,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ sdtlseqdt0(sK19(sz00,sK12),X0) ),
inference(superposition,[status(thm)],[c_192739,c_160]) ).
tcf(c_212516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK12)
| ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ sdtlseqdt0(X0,sK19(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_192739,c_160]) ).
tcf(c_212517,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sdtpldt0(X0,sK19(sz00,sK12)) != sK12 ) ),
inference(superposition,[status(thm)],[c_192739,c_167]) ).
tcf(c_212518,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK19(sz00,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_192739,c_162]) ).
tcf(c_212519,plain,
! [X0: $i] :
( ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sdtpldt0(sz00,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_192739,c_166]) ).
tcf(c_212520,plain,
( ( sK19(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sz00 != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212508,c_151]) ).
tcf(c_212524,plain,
! [X0: $i] :
( ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sdtpldt0(sz00,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212519,c_151]) ).
tcf(c_212529,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ( sdtpldt0(X0,sK19(sz00,sK12)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212517,c_151]) ).
tcf(c_212534,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212514,c_151]) ).
tcf(c_212540,plain,
! [X0: $i] :
( doDivides0(X0,sK12)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sK19(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212513,c_151]) ).
tcf(c_212546,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(X0,sK19(sz00,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212518,c_151]) ).
tcf(c_212552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK12)),sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212512,c_151]) ).
tcf(c_212558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK12)
| ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ sdtlseqdt0(X0,sK19(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212516,c_151]) ).
tcf(c_212564,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ sdtlseqdt0(sK19(sz00,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212515,c_151]) ).
tcf(c_212570,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212505,c_151]) ).
tcf(c_212578,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212504,c_151]) ).
tcf(c_212586,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK12)))
| ~ iLess0(sdtpldt0(sK12,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212503,c_151]) ).
tcf(c_212620,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192740,c_65]) ).
tcf(c_212621,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192740,c_63]) ).
tcf(c_212622,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192740,c_67]) ).
tcf(c_212625,plain,
( ( sK19(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sz00 != sK11 ) ),
inference(superposition,[status(thm)],[c_192740,c_144]) ).
tcf(c_212629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK11)),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_192740,c_162]) ).
tcf(c_212630,plain,
! [X0: $i] :
( doDivides0(X0,sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sK19(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_192740,c_158]) ).
tcf(c_212631,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_192740,c_157]) ).
tcf(c_212632,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ sdtlseqdt0(sK19(sz00,sK11),X0) ),
inference(superposition,[status(thm)],[c_192740,c_160]) ).
tcf(c_212633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK11)
| ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ sdtlseqdt0(X0,sK19(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_192740,c_160]) ).
tcf(c_212634,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sdtpldt0(X0,sK19(sz00,sK11)) != sK11 ) ),
inference(superposition,[status(thm)],[c_192740,c_167]) ).
tcf(c_212635,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK19(sz00,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_192740,c_162]) ).
tcf(c_212636,plain,
! [X0: $i] :
( ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sdtpldt0(sz00,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_192740,c_166]) ).
tcf(c_212637,plain,
( ( sK19(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sz00 != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212625,c_151]) ).
tcf(c_212641,plain,
! [X0: $i] :
( ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sdtpldt0(sz00,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212636,c_151]) ).
tcf(c_212646,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ( sdtpldt0(X0,sK19(sz00,sK11)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212634,c_151]) ).
tcf(c_212651,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212631,c_151]) ).
tcf(c_212657,plain,
! [X0: $i] :
( doDivides0(X0,sK11)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sK19(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212630,c_151]) ).
tcf(c_212663,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(X0,sK19(sz00,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212635,c_151]) ).
tcf(c_212669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK11)),sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212629,c_151]) ).
tcf(c_212675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK11)
| ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ sdtlseqdt0(X0,sK19(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212633,c_151]) ).
tcf(c_212681,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ sdtlseqdt0(sK19(sz00,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212632,c_151]) ).
tcf(c_212687,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212622,c_151]) ).
tcf(c_212695,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212621,c_151]) ).
tcf(c_212703,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK11)))
| ~ iLess0(sdtpldt0(sK11,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212620,c_151]) ).
tcf(c_212741,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192741,c_65]) ).
tcf(c_212742,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192741,c_63]) ).
tcf(c_212743,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192741,c_67]) ).
tcf(c_212746,plain,
( ( sK19(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sz00 != sK10 ) ),
inference(superposition,[status(thm)],[c_192741,c_144]) ).
tcf(c_212750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK10)),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_192741,c_162]) ).
tcf(c_212751,plain,
! [X0: $i] :
( doDivides0(X0,sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sK19(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_192741,c_158]) ).
tcf(c_212752,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_192741,c_157]) ).
tcf(c_212753,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ sdtlseqdt0(sK19(sz00,sK10),X0) ),
inference(superposition,[status(thm)],[c_192741,c_160]) ).
tcf(c_212754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK10)
| ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ sdtlseqdt0(X0,sK19(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_192741,c_160]) ).
tcf(c_212755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sdtpldt0(X0,sK19(sz00,sK10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_192741,c_167]) ).
tcf(c_212756,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK19(sz00,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_192741,c_162]) ).
tcf(c_212757,plain,
! [X0: $i] :
( ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sdtpldt0(sz00,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_192741,c_166]) ).
tcf(c_212758,plain,
( ( sK19(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sz00 != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212746,c_151]) ).
tcf(c_212762,plain,
! [X0: $i] :
( ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sdtpldt0(sz00,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212757,c_151]) ).
tcf(c_212767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ( sdtpldt0(X0,sK19(sz00,sK10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212755,c_151]) ).
tcf(c_212772,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212752,c_151]) ).
tcf(c_212778,plain,
! [X0: $i] :
( doDivides0(X0,sK10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sK19(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212751,c_151]) ).
tcf(c_212784,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(X0,sK19(sz00,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212756,c_151]) ).
tcf(c_212790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK10)),sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212750,c_151]) ).
tcf(c_212796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK10)
| ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ sdtlseqdt0(X0,sK19(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212754,c_151]) ).
tcf(c_212802,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ sdtlseqdt0(sK19(sz00,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212753,c_151]) ).
tcf(c_212808,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212743,c_151]) ).
tcf(c_212816,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212742,c_151]) ).
tcf(c_212824,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK10)))
| ~ iLess0(sdtpldt0(sK10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212741,c_151]) ).
tcf(c_212997,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192742,c_65]) ).
tcf(c_212998,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192742,c_63]) ).
tcf(c_212999,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192742,c_67]) ).
tcf(c_213002,plain,
( ( sK19(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sz00 != sK9 ) ),
inference(superposition,[status(thm)],[c_192742,c_144]) ).
tcf(c_213006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK9)),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_192742,c_162]) ).
tcf(c_213007,plain,
! [X0: $i] :
( doDivides0(X0,sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sK19(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_192742,c_158]) ).
tcf(c_213008,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_192742,c_157]) ).
tcf(c_213009,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ sdtlseqdt0(sK19(sz00,sK9),X0) ),
inference(superposition,[status(thm)],[c_192742,c_160]) ).
tcf(c_213010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9)
| ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ sdtlseqdt0(X0,sK19(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_192742,c_160]) ).
tcf(c_213011,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sdtpldt0(X0,sK19(sz00,sK9)) != sK9 ) ),
inference(superposition,[status(thm)],[c_192742,c_167]) ).
tcf(c_213012,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK19(sz00,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_192742,c_162]) ).
tcf(c_213013,plain,
! [X0: $i] :
( ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sdtpldt0(sz00,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_192742,c_166]) ).
tcf(c_213014,plain,
( ( sK19(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sz00 != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213002,c_151]) ).
tcf(c_213018,plain,
! [X0: $i] :
( ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sdtpldt0(sz00,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213013,c_151]) ).
tcf(c_213023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ( sdtpldt0(X0,sK19(sz00,sK9)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213011,c_151]) ).
tcf(c_213028,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213008,c_151]) ).
tcf(c_213034,plain,
! [X0: $i] :
( doDivides0(X0,sK9)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sK19(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213007,c_151]) ).
tcf(c_213040,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(X0,sK19(sz00,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213012,c_151]) ).
tcf(c_213046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK9)),sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213006,c_151]) ).
tcf(c_213052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9)
| ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ sdtlseqdt0(X0,sK19(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213010,c_151]) ).
tcf(c_213058,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ sdtlseqdt0(sK19(sz00,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213009,c_151]) ).
tcf(c_213064,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212999,c_151]) ).
tcf(c_213072,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212998,c_151]) ).
tcf(c_213080,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK9)))
| ~ iLess0(sdtpldt0(sK9,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212997,c_151]) ).
tcf(c_213123,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192743,c_65]) ).
tcf(c_213124,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192743,c_63]) ).
tcf(c_213125,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192743,c_67]) ).
tcf(c_213128,plain,
( ( sK19(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sz00 != sK8 ) ),
inference(superposition,[status(thm)],[c_192743,c_144]) ).
tcf(c_213132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK8)),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_192743,c_162]) ).
tcf(c_213133,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sK19(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_192743,c_158]) ).
tcf(c_213134,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_192743,c_157]) ).
tcf(c_213135,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ sdtlseqdt0(sK19(sz00,sK8),X0) ),
inference(superposition,[status(thm)],[c_192743,c_160]) ).
tcf(c_213136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK8)
| ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ sdtlseqdt0(X0,sK19(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_192743,c_160]) ).
tcf(c_213137,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sdtpldt0(X0,sK19(sz00,sK8)) != sK8 ) ),
inference(superposition,[status(thm)],[c_192743,c_167]) ).
tcf(c_213138,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK19(sz00,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_192743,c_162]) ).
tcf(c_213139,plain,
! [X0: $i] :
( ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sdtpldt0(sz00,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_192743,c_166]) ).
tcf(c_213140,plain,
( ( sK19(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sz00 != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213128,c_151]) ).
tcf(c_213144,plain,
! [X0: $i] :
( ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sdtpldt0(sz00,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213139,c_151]) ).
tcf(c_213149,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ( sdtpldt0(X0,sK19(sz00,sK8)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213137,c_151]) ).
tcf(c_213154,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213134,c_151]) ).
tcf(c_213160,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sK19(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213133,c_151]) ).
tcf(c_213166,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(X0,sK19(sz00,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213138,c_151]) ).
tcf(c_213172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK8)),sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213132,c_151]) ).
tcf(c_213178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK8)
| ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ sdtlseqdt0(X0,sK19(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213136,c_151]) ).
tcf(c_213184,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ sdtlseqdt0(sK19(sz00,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213135,c_151]) ).
tcf(c_213190,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213125,c_151]) ).
tcf(c_213198,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213124,c_151]) ).
tcf(c_213206,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK8)))
| ~ iLess0(sdtpldt0(sK8,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213123,c_151]) ).
tcf(c_213214,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192744,c_65]) ).
tcf(c_213215,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192744,c_63]) ).
tcf(c_213216,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192744,c_67]) ).
tcf(c_213219,plain,
( ( sK19(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_192744,c_144]) ).
tcf(c_213223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(superposition,[status(thm)],[c_192744,c_162]) ).
tcf(c_213224,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sK19(sz00,xm)) ),
inference(superposition,[status(thm)],[c_192744,c_158]) ).
tcf(c_213225,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(superposition,[status(thm)],[c_192744,c_157]) ).
tcf(c_213226,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ sdtlseqdt0(sK19(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_192744,c_160]) ).
tcf(c_213227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ sdtlseqdt0(X0,sK19(sz00,xm)) ),
inference(superposition,[status(thm)],[c_192744,c_160]) ).
tcf(c_213228,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( sdtpldt0(X0,sK19(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_192744,c_167]) ).
tcf(c_213229,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(superposition,[status(thm)],[c_192744,c_162]) ).
tcf(c_213230,plain,
! [X0: $i] :
( ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_192744,c_166]) ).
tcf(c_213231,plain,
( ( sK19(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213219,c_151]) ).
tcf(c_213235,plain,
! [X0: $i] :
( ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213230,c_151]) ).
tcf(c_213240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ( sdtpldt0(X0,sK19(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213228,c_151]) ).
tcf(c_213245,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213225,c_151]) ).
tcf(c_213251,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sK19(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213224,c_151]) ).
tcf(c_213257,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213229,c_151]) ).
tcf(c_213263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213223,c_151]) ).
tcf(c_213269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ sdtlseqdt0(X0,sK19(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213227,c_151]) ).
tcf(c_213275,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK19(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ sdtlseqdt0(sK19(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213226,c_151]) ).
tcf(c_213281,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213216,c_151]) ).
tcf(c_213289,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213215,c_151]) ).
tcf(c_213297,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213214,c_151]) ).
tcf(c_213305,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xn),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192745,c_65]) ).
tcf(c_213306,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192745,c_63]) ).
tcf(c_213307,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192745,c_67]) ).
tcf(c_213310,plain,
( ( sK19(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_192745,c_144]) ).
tcf(c_213314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(superposition,[status(thm)],[c_192745,c_162]) ).
tcf(c_213315,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sK19(sz00,xn)) ),
inference(superposition,[status(thm)],[c_192745,c_158]) ).
tcf(c_213316,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(superposition,[status(thm)],[c_192745,c_157]) ).
tcf(c_213317,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ sdtlseqdt0(sK19(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_192745,c_160]) ).
tcf(c_213318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ sdtlseqdt0(X0,sK19(sz00,xn)) ),
inference(superposition,[status(thm)],[c_192745,c_160]) ).
tcf(c_213319,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( sdtpldt0(X0,sK19(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_192745,c_167]) ).
tcf(c_213320,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(superposition,[status(thm)],[c_192745,c_162]) ).
tcf(c_213321,plain,
! [X0: $i] :
( ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_192745,c_166]) ).
tcf(c_213322,plain,
( ( sK19(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213310,c_151]) ).
tcf(c_213326,plain,
! [X0: $i] :
( ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213321,c_151]) ).
tcf(c_213331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ( sdtpldt0(X0,sK19(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213319,c_151]) ).
tcf(c_213336,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213316,c_151]) ).
tcf(c_213342,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sK19(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213315,c_151]) ).
tcf(c_213348,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213320,c_151]) ).
tcf(c_213354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213314,c_151]) ).
tcf(c_213360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ sdtlseqdt0(X0,sK19(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213318,c_151]) ).
tcf(c_213366,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK19(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ sdtlseqdt0(sK19(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213317,c_151]) ).
tcf(c_213372,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213307,c_151]) ).
tcf(c_213380,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213306,c_151]) ).
tcf(c_213388,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xn),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213305,c_151]) ).
tcf(c_213415,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xk),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192746,c_65]) ).
tcf(c_213416,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xk),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192746,c_63]) ).
tcf(c_213417,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xk),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192746,c_67]) ).
tcf(c_213424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xk)),xk)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(superposition,[status(thm)],[c_192746,c_162]) ).
tcf(c_213425,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sK19(xr,xk)) ),
inference(superposition,[status(thm)],[c_192746,c_158]) ).
tcf(c_213426,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xk))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(superposition,[status(thm)],[c_192746,c_157]) ).
tcf(c_213427,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xr,X0))
| ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ sdtlseqdt0(sK19(xr,xk),X0) ),
inference(superposition,[status(thm)],[c_192746,c_160]) ).
tcf(c_213428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xk)
| ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ sdtlseqdt0(X0,sK19(xr,xk)) ),
inference(superposition,[status(thm)],[c_192746,c_160]) ).
tcf(c_213429,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ( sdtpldt0(X0,sK19(xr,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_192746,c_167]) ).
tcf(c_213430,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(xr,xk)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(superposition,[status(thm)],[c_192746,c_162]) ).
tcf(c_213431,plain,
! [X0: $i] :
( ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ( sdtpldt0(xr,X0) != xk ) ),
inference(superposition,[status(thm)],[c_192746,c_166]) ).
tcf(c_213432,plain,
! [X0: $i] :
( ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ( sdtpldt0(xr,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213431,c_95]) ).
tcf(c_213437,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ( sdtpldt0(X0,sK19(xr,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213429,c_95]) ).
tcf(c_213442,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213426,c_95]) ).
tcf(c_213448,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sK19(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213425,c_95]) ).
tcf(c_213454,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(xr,xk)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213430,c_95]) ).
tcf(c_213460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xk)),xk)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213424,c_95]) ).
tcf(c_213466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xk)
| ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ sdtlseqdt0(X0,sK19(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213428,c_95]) ).
tcf(c_213472,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xr,X0))
| ( sK19(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ sdtlseqdt0(sK19(xr,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213427,c_95]) ).
tcf(c_213478,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213417,c_95]) ).
tcf(c_213486,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213416,c_95]) ).
tcf(c_213494,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xk),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xk))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213415,c_95]) ).
tcf(c_213502,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192747,c_65]) ).
tcf(c_213503,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192747,c_63]) ).
tcf(c_213504,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192747,c_67]) ).
tcf(c_213511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(superposition,[status(thm)],[c_192747,c_162]) ).
tcf(c_213512,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sK19(sz00,xr)) ),
inference(superposition,[status(thm)],[c_192747,c_158]) ).
tcf(c_213513,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(superposition,[status(thm)],[c_192747,c_157]) ).
tcf(c_213514,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ sdtlseqdt0(sK19(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_192747,c_160]) ).
tcf(c_213515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ sdtlseqdt0(X0,sK19(sz00,xr)) ),
inference(superposition,[status(thm)],[c_192747,c_160]) ).
tcf(c_213516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ( sdtpldt0(X0,sK19(sz00,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_192747,c_167]) ).
tcf(c_213517,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(superposition,[status(thm)],[c_192747,c_162]) ).
tcf(c_213518,plain,
! [X0: $i] :
( ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_192747,c_166]) ).
tcf(c_213519,plain,
! [X0: $i] :
( ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213518,c_151]) ).
tcf(c_213524,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ( sdtpldt0(X0,sK19(sz00,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213516,c_151]) ).
tcf(c_213529,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213513,c_151]) ).
tcf(c_213535,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sK19(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213512,c_151]) ).
tcf(c_213541,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213517,c_151]) ).
tcf(c_213547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213511,c_151]) ).
tcf(c_213553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ sdtlseqdt0(X0,sK19(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213515,c_151]) ).
tcf(c_213559,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK19(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ sdtlseqdt0(sK19(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213514,c_151]) ).
tcf(c_213565,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213504,c_151]) ).
tcf(c_213573,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213503,c_151]) ).
tcf(c_213581,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213502,c_151]) ).
tcf(c_213718,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192748,c_65]) ).
tcf(c_213719,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192748,c_63]) ).
tcf(c_213720,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192748,c_67]) ).
tcf(c_213727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xk)),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(superposition,[status(thm)],[c_192748,c_162]) ).
tcf(c_213728,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sK19(sz00,xk)) ),
inference(superposition,[status(thm)],[c_192748,c_158]) ).
tcf(c_213729,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(superposition,[status(thm)],[c_192748,c_157]) ).
tcf(c_213730,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ sdtlseqdt0(sK19(sz00,xk),X0) ),
inference(superposition,[status(thm)],[c_192748,c_160]) ).
tcf(c_213731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ sdtlseqdt0(X0,sK19(sz00,xk)) ),
inference(superposition,[status(thm)],[c_192748,c_160]) ).
tcf(c_213732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ( sdtpldt0(X0,sK19(sz00,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_192748,c_167]) ).
tcf(c_213733,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(sz00,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(superposition,[status(thm)],[c_192748,c_162]) ).
tcf(c_213734,plain,
! [X0: $i] :
( ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(superposition,[status(thm)],[c_192748,c_166]) ).
tcf(c_213735,plain,
! [X0: $i] :
( ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213734,c_151]) ).
tcf(c_213740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ( sdtpldt0(X0,sK19(sz00,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213732,c_151]) ).
tcf(c_213745,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213729,c_151]) ).
tcf(c_213751,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sK19(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213728,c_151]) ).
tcf(c_213757,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(sz00,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213733,c_151]) ).
tcf(c_213763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xk)),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213727,c_151]) ).
tcf(c_213769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ sdtlseqdt0(X0,sK19(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213731,c_151]) ).
tcf(c_213775,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( sK19(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ sdtlseqdt0(sK19(sz00,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213730,c_151]) ).
tcf(c_213781,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213720,c_151]) ).
tcf(c_213789,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213719,c_151]) ).
tcf(c_213797,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213718,c_151]) ).
tcf(c_213805,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192749,c_65]) ).
tcf(c_213806,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192749,c_63]) ).
tcf(c_213807,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192749,c_67]) ).
tcf(c_213814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(superposition,[status(thm)],[c_192749,c_162]) ).
tcf(c_213815,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sK19(sz00,xp)) ),
inference(superposition,[status(thm)],[c_192749,c_158]) ).
tcf(c_213816,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(superposition,[status(thm)],[c_192749,c_157]) ).
tcf(c_213817,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ sdtlseqdt0(sK19(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_192749,c_160]) ).
tcf(c_213818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ sdtlseqdt0(X0,sK19(sz00,xp)) ),
inference(superposition,[status(thm)],[c_192749,c_160]) ).
tcf(c_213819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ( sdtpldt0(X0,sK19(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_192749,c_167]) ).
tcf(c_213820,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(superposition,[status(thm)],[c_192749,c_162]) ).
tcf(c_213821,plain,
! [X0: $i] :
( ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_192749,c_166]) ).
tcf(c_213822,plain,
! [X0: $i] :
( ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213821,c_151]) ).
tcf(c_213827,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ( sdtpldt0(X0,sK19(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213819,c_151]) ).
tcf(c_213832,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213816,c_151]) ).
tcf(c_213838,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sK19(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213815,c_151]) ).
tcf(c_213844,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213820,c_151]) ).
tcf(c_213850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213814,c_151]) ).
tcf(c_213856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ sdtlseqdt0(X0,sK19(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213818,c_151]) ).
tcf(c_213862,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK19(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ sdtlseqdt0(sK19(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213817,c_151]) ).
tcf(c_213868,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213807,c_151]) ).
tcf(c_213876,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213806,c_151]) ).
tcf(c_213884,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213805,c_151]) ).
tcf(c_214092,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xk,xp),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192750,c_65]) ).
tcf(c_214093,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK19(xk,xp),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192750,c_63]) ).
tcf(c_214094,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK19(xk,xp),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192750,c_67]) ).
tcf(c_214101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xk,xp)),xp)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(superposition,[status(thm)],[c_192750,c_162]) ).
tcf(c_214102,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sK19(xk,xp)) ),
inference(superposition,[status(thm)],[c_192750,c_158]) ).
tcf(c_214103,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xk,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(superposition,[status(thm)],[c_192750,c_157]) ).
tcf(c_214104,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xk,X0))
| ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ sdtlseqdt0(sK19(xk,xp),X0) ),
inference(superposition,[status(thm)],[c_192750,c_160]) ).
tcf(c_214105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xp)
| ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ sdtlseqdt0(X0,sK19(xk,xp)) ),
inference(superposition,[status(thm)],[c_192750,c_160]) ).
tcf(c_214106,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ( sdtpldt0(X0,sK19(xk,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_192750,c_167]) ).
tcf(c_214107,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xk,xp)))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(superposition,[status(thm)],[c_192750,c_162]) ).
tcf(c_214108,plain,
! [X0: $i] :
( ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ( sdtpldt0(xk,X0) != xp ) ),
inference(superposition,[status(thm)],[c_192750,c_166]) ).
tcf(c_214109,plain,
! [X0: $i] :
( ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ( sdtpldt0(xk,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214108,c_88]) ).
tcf(c_214114,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ( sdtpldt0(X0,sK19(xk,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214106,c_88]) ).
tcf(c_214119,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xk,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214103,c_88]) ).
tcf(c_214125,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sK19(xk,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214102,c_88]) ).
tcf(c_214131,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xk,xp)))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214107,c_88]) ).
tcf(c_214137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xk,xp)),xp)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK19(xk,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214101,c_88]) ).
tcf(c_214143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xp)
| ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ sdtlseqdt0(X0,sK19(xk,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214105,c_88]) ).
tcf(c_214149,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xk,X0))
| ( sK19(xk,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ sdtlseqdt0(sK19(xk,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214104,c_88]) ).
tcf(c_214155,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK19(xk,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214094,c_88]) ).
tcf(c_214163,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK19(xk,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214093,c_88]) ).
tcf(c_214171,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xk,xp),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xk,xp))
| ~ doDivides0(X0,sdtasdt0(xk,sK19(xk,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214092,c_88]) ).
tcf(c_214179,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xm,xp),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192751,c_65]) ).
tcf(c_214180,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK19(xm,xp),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192751,c_63]) ).
tcf(c_214181,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK19(xm,xp),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192751,c_67]) ).
tcf(c_214188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xm,xp)),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(superposition,[status(thm)],[c_192751,c_162]) ).
tcf(c_214189,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sK19(xm,xp)) ),
inference(superposition,[status(thm)],[c_192751,c_158]) ).
tcf(c_214190,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(superposition,[status(thm)],[c_192751,c_157]) ).
tcf(c_214191,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ sdtlseqdt0(sK19(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_192751,c_160]) ).
tcf(c_214192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ sdtlseqdt0(X0,sK19(xm,xp)) ),
inference(superposition,[status(thm)],[c_192751,c_160]) ).
tcf(c_214193,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ( sdtpldt0(X0,sK19(xm,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_192751,c_167]) ).
tcf(c_214194,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(superposition,[status(thm)],[c_192751,c_162]) ).
tcf(c_214195,plain,
! [X0: $i] :
( ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ( sdtpldt0(xm,X0) != xp ) ),
inference(superposition,[status(thm)],[c_192751,c_166]) ).
tcf(c_214196,plain,
! [X0: $i] :
( ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ( sdtpldt0(xm,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214195,c_50]) ).
tcf(c_214201,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ( sdtpldt0(X0,sK19(xm,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214193,c_50]) ).
tcf(c_214206,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214190,c_50]) ).
tcf(c_214212,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sK19(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214189,c_50]) ).
tcf(c_214218,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214194,c_50]) ).
tcf(c_214224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xm,xp)),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK19(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214188,c_50]) ).
tcf(c_214230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ sdtlseqdt0(X0,sK19(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214192,c_50]) ).
tcf(c_214236,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( sK19(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ sdtlseqdt0(sK19(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214191,c_50]) ).
tcf(c_214242,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK19(xm,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214181,c_50]) ).
tcf(c_214250,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK19(xm,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214180,c_50]) ).
tcf(c_214258,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xm,xp),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK19(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214179,c_50]) ).
tcf(c_214266,plain,
xn != sz00,
inference(global_subsumption_just,[status(thm)],[c_192418,c_122,c_11679,c_13032]) ).
tcf(c_214268,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xn,xp),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192752,c_65]) ).
tcf(c_214269,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK19(xn,xp),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192752,c_63]) ).
tcf(c_214270,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK19(xn,xp),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192752,c_67]) ).
tcf(c_214277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xn,xp)),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(superposition,[status(thm)],[c_192752,c_162]) ).
tcf(c_214278,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sK19(xn,xp)) ),
inference(superposition,[status(thm)],[c_192752,c_158]) ).
tcf(c_214279,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(superposition,[status(thm)],[c_192752,c_157]) ).
tcf(c_214280,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ sdtlseqdt0(sK19(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_192752,c_160]) ).
tcf(c_214281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ sdtlseqdt0(X0,sK19(xn,xp)) ),
inference(superposition,[status(thm)],[c_192752,c_160]) ).
tcf(c_214282,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ( sdtpldt0(X0,sK19(xn,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_192752,c_167]) ).
tcf(c_214283,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(superposition,[status(thm)],[c_192752,c_162]) ).
tcf(c_214284,plain,
! [X0: $i] :
( ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ( sdtpldt0(xn,X0) != xp ) ),
inference(superposition,[status(thm)],[c_192752,c_166]) ).
tcf(c_214285,plain,
! [X0: $i] :
( ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ( sdtpldt0(xn,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214284,c_49]) ).
tcf(c_214290,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ( sdtpldt0(X0,sK19(xn,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214282,c_49]) ).
tcf(c_214295,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214279,c_49]) ).
tcf(c_214301,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sK19(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214278,c_49]) ).
tcf(c_214307,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214283,c_49]) ).
tcf(c_214313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xn,xp)),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK19(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214277,c_49]) ).
tcf(c_214319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ sdtlseqdt0(X0,sK19(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214281,c_49]) ).
tcf(c_214325,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( sK19(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ sdtlseqdt0(sK19(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214280,c_49]) ).
tcf(c_214331,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK19(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214270,c_49]) ).
tcf(c_214339,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK19(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214269,c_49]) ).
tcf(c_214347,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xn,xp),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK19(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214268,c_49]) ).
tcf(c_214366,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz00,sz00),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_64]) ).
tcf(c_214367,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK20(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_62]) ).
tcf(c_214368,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK20(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_66]) ).
tcf(c_214376,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_64]) ).
tcf(c_214377,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_62]) ).
tcf(c_214378,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_66]) ).
tcf(c_214379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK20(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192822,c_141]) ).
tcf(c_214381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sz00,sz00)))
| ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK20(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_192822,c_141]) ).
tcf(c_214385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ( sdtasdt0(X0,sK20(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192822,c_146]) ).
tcf(c_214386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ( sdtasdt0(X0,sK20(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214385,c_151]) ).
tcf(c_214392,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sz00,sz00)))
| ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK20(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214381,c_151]) ).
tcf(c_214399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK20(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK20(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214379,c_151]) ).
tcf(c_214406,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214378,c_151]) ).
tcf(c_214415,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214377,c_151]) ).
tcf(c_214424,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK20(sz00,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214368,c_151]) ).
tcf(c_214433,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214376,c_151]) ).
tcf(c_214442,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK20(sz00,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214367,c_151]) ).
tcf(c_214451,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz00,sz00),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK20(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214366,c_151]) ).
tcf(c_214496,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK18,sz00),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_64]) ).
tcf(c_214497,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK20(sK18,sz00),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_62]) ).
tcf(c_214498,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK20(sK18,sz00),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_66]) ).
tcf(c_214501,plain,
( ( sz00 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(superposition,[status(thm)],[c_192823,c_142]) ).
tcf(c_214506,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_64]) ).
tcf(c_214507,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_62]) ).
tcf(c_214508,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_66]) ).
tcf(c_214509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK18,sz00)),sz00)
| ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(superposition,[status(thm)],[c_192823,c_141]) ).
tcf(c_214510,plain,
( sdtlseqdt0(sK18,sz00)
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(superposition,[status(thm)],[c_192823,c_137]) ).
tcf(c_214511,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK18,sz00)))
| ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(superposition,[status(thm)],[c_192823,c_141]) ).
tcf(c_214512,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_145]) ).
tcf(c_214513,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ sdtlseqdt0(sK20(sK18,sz00),X0) ),
inference(superposition,[status(thm)],[c_192823,c_139]) ).
tcf(c_214514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ sdtlseqdt0(X0,sK20(sK18,sz00)) ),
inference(superposition,[status(thm)],[c_192823,c_139]) ).
tcf(c_214515,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ( sdtasdt0(X0,sK20(sK18,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192823,c_146]) ).
tcf(c_214516,plain,
( sdtlseqdt0(sK18,sz00)
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214510,c_127]) ).
tcf(c_214520,plain,
( ( sz00 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214501,c_127]) ).
tcf(c_214524,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214512,c_127]) ).
tcf(c_214530,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ( sdtasdt0(X0,sK20(sK18,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214515,c_127]) ).
tcf(c_214536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ sdtlseqdt0(X0,sK20(sK18,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214514,c_127]) ).
tcf(c_214543,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sK20(sK18,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ sdtlseqdt0(sK20(sK18,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214513,c_127]) ).
tcf(c_214550,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK18,sz00)))
| ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214511,c_127]) ).
tcf(c_214557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK18,sz00)),sz00)
| ( X0 = sK18 )
| ( sK20(sK18,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK20(sK18,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214509,c_127]) ).
tcf(c_214564,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214508,c_127]) ).
tcf(c_214573,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214507,c_127]) ).
tcf(c_214582,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK20(sK18,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214498,c_127]) ).
tcf(c_214591,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214506,c_127]) ).
tcf(c_214600,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK20(sK18,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214497,c_127]) ).
tcf(c_214609,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK18,sz00),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214496,c_127]) ).
tcf(c_214632,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK17,sz00),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_64]) ).
tcf(c_214633,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK20(sK17,sz00),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_62]) ).
tcf(c_214634,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK20(sK17,sz00),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_66]) ).
tcf(c_214637,plain,
( ( sz00 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(superposition,[status(thm)],[c_192824,c_142]) ).
tcf(c_214642,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_64]) ).
tcf(c_214643,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_62]) ).
tcf(c_214644,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_66]) ).
tcf(c_214645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK17,sz00)),sz00)
| ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(superposition,[status(thm)],[c_192824,c_141]) ).
tcf(c_214646,plain,
( sdtlseqdt0(sK17,sz00)
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(superposition,[status(thm)],[c_192824,c_137]) ).
tcf(c_214647,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK17,sz00)))
| ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(superposition,[status(thm)],[c_192824,c_141]) ).
tcf(c_214648,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_145]) ).
tcf(c_214649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ sdtlseqdt0(sK20(sK17,sz00),X0) ),
inference(superposition,[status(thm)],[c_192824,c_139]) ).
tcf(c_214650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ sdtlseqdt0(X0,sK20(sK17,sz00)) ),
inference(superposition,[status(thm)],[c_192824,c_139]) ).
tcf(c_214651,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ( sdtasdt0(X0,sK20(sK17,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192824,c_146]) ).
tcf(c_214652,plain,
( sdtlseqdt0(sK17,sz00)
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214646,c_119]) ).
tcf(c_214656,plain,
( ( sz00 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214637,c_119]) ).
tcf(c_214660,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214648,c_119]) ).
tcf(c_214666,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ( sdtasdt0(X0,sK20(sK17,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214651,c_119]) ).
tcf(c_214672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ sdtlseqdt0(X0,sK20(sK17,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214650,c_119]) ).
tcf(c_214679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sK20(sK17,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ sdtlseqdt0(sK20(sK17,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214649,c_119]) ).
tcf(c_214686,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK17,sz00)))
| ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214647,c_119]) ).
tcf(c_214693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK17,sz00)),sz00)
| ( X0 = sK17 )
| ( sK20(sK17,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK20(sK17,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214645,c_119]) ).
tcf(c_214700,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214644,c_119]) ).
tcf(c_214709,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214643,c_119]) ).
tcf(c_214718,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK20(sK17,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214634,c_119]) ).
tcf(c_214727,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214642,c_119]) ).
tcf(c_214736,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK20(sK17,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214633,c_119]) ).
tcf(c_214745,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK17,sz00),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214632,c_119]) ).
tcf(c_214812,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK14,sz00),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_64]) ).
tcf(c_214813,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK20(sK14,sz00),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_62]) ).
tcf(c_214814,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK20(sK14,sz00),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_66]) ).
tcf(c_214817,plain,
( ( sz00 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(superposition,[status(thm)],[c_192825,c_142]) ).
tcf(c_214822,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_64]) ).
tcf(c_214823,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_62]) ).
tcf(c_214824,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_66]) ).
tcf(c_214825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK14,sz00)),sz00)
| ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(superposition,[status(thm)],[c_192825,c_141]) ).
tcf(c_214826,plain,
( sdtlseqdt0(sK14,sz00)
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(superposition,[status(thm)],[c_192825,c_137]) ).
tcf(c_214827,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK14,sz00)))
| ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(superposition,[status(thm)],[c_192825,c_141]) ).
tcf(c_214828,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_145]) ).
tcf(c_214829,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ sdtlseqdt0(sK20(sK14,sz00),X0) ),
inference(superposition,[status(thm)],[c_192825,c_139]) ).
tcf(c_214830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ sdtlseqdt0(X0,sK20(sK14,sz00)) ),
inference(superposition,[status(thm)],[c_192825,c_139]) ).
tcf(c_214831,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ( sdtasdt0(X0,sK20(sK14,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192825,c_146]) ).
tcf(c_214832,plain,
( sdtlseqdt0(sK14,sz00)
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214826,c_110]) ).
tcf(c_214836,plain,
( ( sz00 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214817,c_110]) ).
tcf(c_214840,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214828,c_110]) ).
tcf(c_214846,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ( sdtasdt0(X0,sK20(sK14,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214831,c_110]) ).
tcf(c_214852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ sdtlseqdt0(X0,sK20(sK14,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214830,c_110]) ).
tcf(c_214859,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sK20(sK14,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ sdtlseqdt0(sK20(sK14,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214829,c_110]) ).
tcf(c_214866,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK14,sz00)))
| ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214827,c_110]) ).
tcf(c_214873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK14,sz00)),sz00)
| ( X0 = sK14 )
| ( sK20(sK14,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK20(sK14,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214825,c_110]) ).
tcf(c_214880,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214824,c_110]) ).
tcf(c_214889,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214823,c_110]) ).
tcf(c_214898,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK20(sK14,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214814,c_110]) ).
tcf(c_214907,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214822,c_110]) ).
tcf(c_214916,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK20(sK14,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214813,c_110]) ).
tcf(c_214925,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK14,sz00),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214812,c_110]) ).
tcf(c_214957,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK13,sz00),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_64]) ).
tcf(c_214958,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK20(sK13,sz00),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_62]) ).
tcf(c_214959,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK20(sK13,sz00),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_66]) ).
tcf(c_214962,plain,
( ( sz00 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(superposition,[status(thm)],[c_192826,c_142]) ).
tcf(c_214967,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_64]) ).
tcf(c_214968,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_62]) ).
tcf(c_214969,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_66]) ).
tcf(c_214970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK13,sz00)),sz00)
| ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(superposition,[status(thm)],[c_192826,c_141]) ).
tcf(c_214971,plain,
( sdtlseqdt0(sK13,sz00)
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(superposition,[status(thm)],[c_192826,c_137]) ).
tcf(c_214972,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK13,sz00)))
| ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(superposition,[status(thm)],[c_192826,c_141]) ).
tcf(c_214973,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_145]) ).
tcf(c_214974,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ sdtlseqdt0(sK20(sK13,sz00),X0) ),
inference(superposition,[status(thm)],[c_192826,c_139]) ).
tcf(c_214975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ sdtlseqdt0(X0,sK20(sK13,sz00)) ),
inference(superposition,[status(thm)],[c_192826,c_139]) ).
tcf(c_214976,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ( sdtasdt0(X0,sK20(sK13,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192826,c_146]) ).
tcf(c_214977,plain,
( sdtlseqdt0(sK13,sz00)
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214971,c_106]) ).
tcf(c_214981,plain,
( ( sz00 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214962,c_106]) ).
tcf(c_214985,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214973,c_106]) ).
tcf(c_214991,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ( sdtasdt0(X0,sK20(sK13,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214976,c_106]) ).
tcf(c_214997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ sdtlseqdt0(X0,sK20(sK13,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214975,c_106]) ).
tcf(c_215004,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sK20(sK13,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ sdtlseqdt0(sK20(sK13,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214974,c_106]) ).
tcf(c_215011,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK13,sz00)))
| ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214972,c_106]) ).
tcf(c_215018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK13,sz00)),sz00)
| ( X0 = sK13 )
| ( sK20(sK13,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK20(sK13,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214970,c_106]) ).
tcf(c_215025,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214969,c_106]) ).
tcf(c_215034,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214968,c_106]) ).
tcf(c_215043,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK20(sK13,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214959,c_106]) ).
tcf(c_215052,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214967,c_106]) ).
tcf(c_215061,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK20(sK13,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214958,c_106]) ).
tcf(c_215070,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK13,sz00),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214957,c_106]) ).
tcf(c_215110,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK12,sz00),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_64]) ).
tcf(c_215111,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK20(sK12,sz00),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_62]) ).
tcf(c_215112,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK20(sK12,sz00),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_66]) ).
tcf(c_215115,plain,
( ( sz00 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(superposition,[status(thm)],[c_192827,c_142]) ).
tcf(c_215120,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_64]) ).
tcf(c_215121,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_62]) ).
tcf(c_215122,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_66]) ).
tcf(c_215123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK12,sz00)),sz00)
| ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(superposition,[status(thm)],[c_192827,c_141]) ).
tcf(c_215124,plain,
( sdtlseqdt0(sK12,sz00)
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(superposition,[status(thm)],[c_192827,c_137]) ).
tcf(c_215125,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK12,sz00)))
| ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(superposition,[status(thm)],[c_192827,c_141]) ).
tcf(c_215126,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_145]) ).
tcf(c_215127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ sdtlseqdt0(sK20(sK12,sz00),X0) ),
inference(superposition,[status(thm)],[c_192827,c_139]) ).
tcf(c_215128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ sdtlseqdt0(X0,sK20(sK12,sz00)) ),
inference(superposition,[status(thm)],[c_192827,c_139]) ).
tcf(c_215129,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ( sdtasdt0(X0,sK20(sK12,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192827,c_146]) ).
tcf(c_215130,plain,
( sdtlseqdt0(sK12,sz00)
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215124,c_104]) ).
tcf(c_215134,plain,
( ( sz00 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215115,c_104]) ).
tcf(c_215138,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215126,c_104]) ).
tcf(c_215144,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ( sdtasdt0(X0,sK20(sK12,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215129,c_104]) ).
tcf(c_215150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ sdtlseqdt0(X0,sK20(sK12,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215128,c_104]) ).
tcf(c_215157,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sK20(sK12,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ sdtlseqdt0(sK20(sK12,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215127,c_104]) ).
tcf(c_215164,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK12,sz00)))
| ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215125,c_104]) ).
tcf(c_215171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK12,sz00)),sz00)
| ( X0 = sK12 )
| ( sK20(sK12,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK20(sK12,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215123,c_104]) ).
tcf(c_215178,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215122,c_104]) ).
tcf(c_215187,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215121,c_104]) ).
tcf(c_215196,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK20(sK12,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215112,c_104]) ).
tcf(c_215205,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215120,c_104]) ).
tcf(c_215214,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK20(sK12,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215111,c_104]) ).
tcf(c_215223,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK12,sz00),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215110,c_104]) ).
tcf(c_215259,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK11,sz00),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_64]) ).
tcf(c_215260,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK20(sK11,sz00),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_62]) ).
tcf(c_215261,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK20(sK11,sz00),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_66]) ).
tcf(c_215264,plain,
( ( sz00 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(superposition,[status(thm)],[c_192828,c_142]) ).
tcf(c_215269,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_64]) ).
tcf(c_215270,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_62]) ).
tcf(c_215271,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_66]) ).
tcf(c_215272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK11,sz00)),sz00)
| ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(superposition,[status(thm)],[c_192828,c_141]) ).
tcf(c_215273,plain,
( sdtlseqdt0(sK11,sz00)
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(superposition,[status(thm)],[c_192828,c_137]) ).
tcf(c_215274,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK11,sz00)))
| ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(superposition,[status(thm)],[c_192828,c_141]) ).
tcf(c_215275,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_145]) ).
tcf(c_215276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ sdtlseqdt0(sK20(sK11,sz00),X0) ),
inference(superposition,[status(thm)],[c_192828,c_139]) ).
tcf(c_215277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ sdtlseqdt0(X0,sK20(sK11,sz00)) ),
inference(superposition,[status(thm)],[c_192828,c_139]) ).
tcf(c_215278,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ( sdtasdt0(X0,sK20(sK11,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192828,c_146]) ).
tcf(c_215279,plain,
( sdtlseqdt0(sK11,sz00)
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215273,c_96]) ).
tcf(c_215283,plain,
( ( sz00 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215264,c_96]) ).
tcf(c_215287,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215275,c_96]) ).
tcf(c_215293,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ( sdtasdt0(X0,sK20(sK11,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215278,c_96]) ).
tcf(c_215299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ sdtlseqdt0(X0,sK20(sK11,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215277,c_96]) ).
tcf(c_215306,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sK20(sK11,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ sdtlseqdt0(sK20(sK11,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215276,c_96]) ).
tcf(c_215313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK11,sz00)))
| ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215274,c_96]) ).
tcf(c_215320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK11,sz00)),sz00)
| ( X0 = sK11 )
| ( sK20(sK11,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK20(sK11,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215272,c_96]) ).
tcf(c_215327,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215271,c_96]) ).
tcf(c_215336,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215270,c_96]) ).
tcf(c_215345,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK20(sK11,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215261,c_96]) ).
tcf(c_215354,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215269,c_96]) ).
tcf(c_215363,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK20(sK11,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215260,c_96]) ).
tcf(c_215372,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK11,sz00),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215259,c_96]) ).
tcf(c_215422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,sz00),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_64]) ).
tcf(c_215423,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,sz00),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_62]) ).
tcf(c_215424,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,sz00),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_66]) ).
tcf(c_215427,plain,
( ( sz00 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(superposition,[status(thm)],[c_192829,c_142]) ).
tcf(c_215432,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_64]) ).
tcf(c_215433,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_62]) ).
tcf(c_215434,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_66]) ).
tcf(c_215435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(superposition,[status(thm)],[c_192829,c_141]) ).
tcf(c_215436,plain,
( sdtlseqdt0(xr,sz00)
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(superposition,[status(thm)],[c_192829,c_137]) ).
tcf(c_215437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xr,sz00)))
| ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(superposition,[status(thm)],[c_192829,c_141]) ).
tcf(c_215438,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_145]) ).
tcf(c_215439,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ sdtlseqdt0(sK20(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_192829,c_139]) ).
tcf(c_215440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ sdtlseqdt0(X0,sK20(xr,sz00)) ),
inference(superposition,[status(thm)],[c_192829,c_139]) ).
tcf(c_215441,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ( sdtasdt0(X0,sK20(xr,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192829,c_146]) ).
tcf(c_215442,plain,
( ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215436,c_193017,c_95]) ).
tcf(c_215446,plain,
! [X0: $i] :
( ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215438,c_99,c_95]) ).
tcf(c_215451,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ( sdtasdt0(X0,sK20(xr,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215441,c_95]) ).
tcf(c_215457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ sdtlseqdt0(X0,sK20(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215440,c_99,c_95]) ).
tcf(c_215463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sK20(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ sdtlseqdt0(sK20(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215439,c_99,c_95]) ).
tcf(c_215469,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xr,sz00)))
| ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215437,c_95]) ).
tcf(c_215476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK20(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215435,c_95]) ).
tcf(c_215483,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215434,c_95]) ).
tcf(c_215492,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215433,c_95]) ).
tcf(c_215501,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215424,c_95]) ).
tcf(c_215510,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215432,c_95]) ).
tcf(c_215519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215423,c_95]) ).
tcf(c_215528,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,sz00),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215422,c_95]) ).
tcf(c_215559,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xk,sz00),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_64]) ).
tcf(c_215560,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK20(xk,sz00),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_62]) ).
tcf(c_215561,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK20(xk,sz00),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_66]) ).
tcf(c_215564,plain,
( ( sz00 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(superposition,[status(thm)],[c_192830,c_142]) ).
tcf(c_215569,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_64]) ).
tcf(c_215570,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_62]) ).
tcf(c_215571,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_66]) ).
tcf(c_215572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xk,sz00)),sz00)
| ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(superposition,[status(thm)],[c_192830,c_141]) ).
tcf(c_215573,plain,
( sdtlseqdt0(xk,sz00)
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(superposition,[status(thm)],[c_192830,c_137]) ).
tcf(c_215574,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xk,sz00)))
| ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(superposition,[status(thm)],[c_192830,c_141]) ).
tcf(c_215575,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_145]) ).
tcf(c_215576,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ sdtlseqdt0(sK20(xk,sz00),X0) ),
inference(superposition,[status(thm)],[c_192830,c_139]) ).
tcf(c_215577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sz00 = xk )
| ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ sdtlseqdt0(X0,sK20(xk,sz00)) ),
inference(superposition,[status(thm)],[c_192830,c_139]) ).
tcf(c_215578,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ( sdtasdt0(X0,sK20(xk,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192830,c_146]) ).
tcf(c_215579,plain,
( ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215573,c_193018,c_88]) ).
tcf(c_215583,plain,
! [X0: $i] :
( ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215575,c_93,c_88]) ).
tcf(c_215588,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ( sdtasdt0(X0,sK20(xk,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215578,c_88]) ).
tcf(c_215594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ sdtlseqdt0(X0,sK20(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215577,c_93,c_88]) ).
tcf(c_215600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sK20(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ sdtlseqdt0(sK20(xk,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215576,c_93,c_88]) ).
tcf(c_215606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xk,sz00)))
| ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215574,c_88]) ).
tcf(c_215613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xk,sz00)),sz00)
| ( X0 = xk )
| ( sK20(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK20(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215572,c_88]) ).
tcf(c_215620,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215571,c_88]) ).
tcf(c_215629,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215570,c_88]) ).
tcf(c_215638,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK20(xk,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215561,c_88]) ).
tcf(c_215647,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215569,c_88]) ).
tcf(c_215656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK20(xk,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215560,c_88]) ).
tcf(c_215665,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xk,sz00),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215559,c_88]) ).
tcf(c_215823,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xn,sz00),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_64]) ).
tcf(c_215824,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK20(xn,sz00),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_62]) ).
tcf(c_215825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK20(xn,sz00),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_66]) ).
tcf(c_215828,plain,
( ( xn = sz00 )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(superposition,[status(thm)],[c_192831,c_142]) ).
tcf(c_215833,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_64]) ).
tcf(c_215834,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_62]) ).
tcf(c_215835,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_66]) ).
tcf(c_215836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(superposition,[status(thm)],[c_192831,c_141]) ).
tcf(c_215837,plain,
( sdtlseqdt0(xn,sz00)
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(superposition,[status(thm)],[c_192831,c_137]) ).
tcf(c_215838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xn,sz00)))
| ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(superposition,[status(thm)],[c_192831,c_141]) ).
tcf(c_215839,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_145]) ).
tcf(c_215840,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ sdtlseqdt0(sK20(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_192831,c_139]) ).
tcf(c_215841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ sdtlseqdt0(X0,sK20(xn,sz00)) ),
inference(superposition,[status(thm)],[c_192831,c_139]) ).
tcf(c_215842,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ( sdtasdt0(X0,sK20(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192831,c_146]) ).
tcf(c_215847,plain,
( ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215828,c_214266,c_49]) ).
tcf(c_215850,plain,
! [X0: $i] :
( ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215839,c_214266,c_49]) ).
tcf(c_215855,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ( sdtasdt0(X0,sK20(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215842,c_49]) ).
tcf(c_215861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ sdtlseqdt0(X0,sK20(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215841,c_214266,c_49]) ).
tcf(c_215867,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sK20(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ sdtlseqdt0(sK20(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215840,c_214266,c_49]) ).
tcf(c_215873,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xn,sz00)))
| ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215838,c_49]) ).
tcf(c_215880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK20(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK20(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215836,c_49]) ).
tcf(c_215887,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215835,c_49]) ).
tcf(c_215896,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215834,c_49]) ).
tcf(c_215905,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK20(xn,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215825,c_49]) ).
tcf(c_215914,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215833,c_49]) ).
tcf(c_215923,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK20(xn,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215824,c_49]) ).
tcf(c_215932,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xn,sz00),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215823,c_49]) ).
tcf(c_216048,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xm,sz00),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_64]) ).
tcf(c_216049,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK20(xm,sz00),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_62]) ).
tcf(c_216050,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK20(xm,sz00),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_66]) ).
tcf(c_216053,plain,
( ( xm = sz00 )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(superposition,[status(thm)],[c_192832,c_142]) ).
tcf(c_216058,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_64]) ).
tcf(c_216059,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_62]) ).
tcf(c_216060,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_66]) ).
tcf(c_216061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(superposition,[status(thm)],[c_192832,c_141]) ).
tcf(c_216062,plain,
( sdtlseqdt0(xm,sz00)
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(superposition,[status(thm)],[c_192832,c_137]) ).
tcf(c_216063,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xm,sz00)))
| ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(superposition,[status(thm)],[c_192832,c_141]) ).
tcf(c_216064,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_145]) ).
tcf(c_216065,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ sdtlseqdt0(sK20(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_192832,c_139]) ).
tcf(c_216066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ sdtlseqdt0(X0,sK20(xm,sz00)) ),
inference(superposition,[status(thm)],[c_192832,c_139]) ).
tcf(c_216067,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ( sdtasdt0(X0,sK20(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192832,c_146]) ).
tcf(c_216068,plain,
( sdtlseqdt0(xm,sz00)
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216062,c_50]) ).
tcf(c_216072,plain,
( ( xm = sz00 )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216053,c_50]) ).
tcf(c_216076,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216064,c_50]) ).
tcf(c_216082,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ( sdtasdt0(X0,sK20(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216067,c_50]) ).
tcf(c_216088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ sdtlseqdt0(X0,sK20(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216066,c_50]) ).
tcf(c_216095,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK20(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ sdtlseqdt0(sK20(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216065,c_50]) ).
tcf(c_216102,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xm,sz00)))
| ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216063,c_50]) ).
tcf(c_216109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK20(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK20(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216061,c_50]) ).
tcf(c_216116,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216060,c_50]) ).
tcf(c_216125,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216059,c_50]) ).
tcf(c_216134,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK20(xm,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216050,c_50]) ).
tcf(c_216143,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216058,c_50]) ).
tcf(c_216152,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK20(xm,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216049,c_50]) ).
tcf(c_216161,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xm,sz00),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216048,c_50]) ).
tcf(c_216343,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,sz00),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_64]) ).
tcf(c_216344,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,sz00),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_62]) ).
tcf(c_216345,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,sz00),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_66]) ).
tcf(c_216348,plain,
( ( xp = sz00 )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(superposition,[status(thm)],[c_192833,c_142]) ).
tcf(c_216353,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_64]) ).
tcf(c_216354,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_62]) ).
tcf(c_216355,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_66]) ).
tcf(c_216356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(superposition,[status(thm)],[c_192833,c_141]) ).
tcf(c_216357,plain,
( sdtlseqdt0(xp,sz00)
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(superposition,[status(thm)],[c_192833,c_137]) ).
tcf(c_216358,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xp,sz00)))
| ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(superposition,[status(thm)],[c_192833,c_141]) ).
tcf(c_216359,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_145]) ).
tcf(c_216360,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ sdtlseqdt0(sK20(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_192833,c_139]) ).
tcf(c_216361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ sdtlseqdt0(X0,sK20(xp,sz00)) ),
inference(superposition,[status(thm)],[c_192833,c_139]) ).
tcf(c_216362,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ( sdtasdt0(X0,sK20(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192833,c_146]) ).
tcf(c_216363,plain,
( ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216357,c_193019,c_51]) ).
tcf(c_216367,plain,
! [X0: $i] :
( ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216359,c_68,c_51]) ).
tcf(c_216372,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ( sdtasdt0(X0,sK20(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216362,c_51]) ).
tcf(c_216378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ sdtlseqdt0(X0,sK20(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216361,c_68,c_51]) ).
tcf(c_216384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sK20(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ sdtlseqdt0(sK20(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216360,c_68,c_51]) ).
tcf(c_216390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(xp,sz00)))
| ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216358,c_51]) ).
tcf(c_216397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK20(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216356,c_51]) ).
tcf(c_216404,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216355,c_51]) ).
tcf(c_216413,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216354,c_51]) ).
tcf(c_216422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216345,c_51]) ).
tcf(c_216431,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216353,c_51]) ).
tcf(c_216440,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216344,c_51]) ).
tcf(c_216449,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,sz00),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216343,c_51]) ).
tcf(c_216458,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK8,sz00),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_64]) ).
tcf(c_216459,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK20(sK8,sz00),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_62]) ).
tcf(c_216460,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK20(sK8,sz00),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_66]) ).
tcf(c_216463,plain,
( ( sz00 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(superposition,[status(thm)],[c_192834,c_142]) ).
tcf(c_216468,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_64]) ).
tcf(c_216469,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_62]) ).
tcf(c_216470,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_66]) ).
tcf(c_216471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK8,sz00)),sz00)
| ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(superposition,[status(thm)],[c_192834,c_141]) ).
tcf(c_216472,plain,
( sdtlseqdt0(sK8,sz00)
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(superposition,[status(thm)],[c_192834,c_137]) ).
tcf(c_216473,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK8,sz00)))
| ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(superposition,[status(thm)],[c_192834,c_141]) ).
tcf(c_216474,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_145]) ).
tcf(c_216475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ sdtlseqdt0(sK20(sK8,sz00),X0) ),
inference(superposition,[status(thm)],[c_192834,c_139]) ).
tcf(c_216476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ sdtlseqdt0(X0,sK20(sK8,sz00)) ),
inference(superposition,[status(thm)],[c_192834,c_139]) ).
tcf(c_216477,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ( sdtasdt0(X0,sK20(sK8,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192834,c_146]) ).
tcf(c_216478,plain,
( sdtlseqdt0(sK8,sz00)
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216472,c_73]) ).
tcf(c_216482,plain,
( ( sz00 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216463,c_73]) ).
tcf(c_216486,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216474,c_73]) ).
tcf(c_216492,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ( sdtasdt0(X0,sK20(sK8,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216477,c_73]) ).
tcf(c_216498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ sdtlseqdt0(X0,sK20(sK8,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216476,c_73]) ).
tcf(c_216505,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sK20(sK8,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ sdtlseqdt0(sK20(sK8,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216475,c_73]) ).
tcf(c_216512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK8,sz00)))
| ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216473,c_73]) ).
tcf(c_216519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK8,sz00)),sz00)
| ( X0 = sK8 )
| ( sK20(sK8,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK20(sK8,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216471,c_73]) ).
tcf(c_216526,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216470,c_73]) ).
tcf(c_216535,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216469,c_73]) ).
tcf(c_216544,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK20(sK8,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216460,c_73]) ).
tcf(c_216553,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216468,c_73]) ).
tcf(c_216562,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK20(sK8,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216459,c_73]) ).
tcf(c_216571,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK8,sz00),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216458,c_73]) ).
tcf(c_216632,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK9,sz00),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_64]) ).
tcf(c_216633,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK20(sK9,sz00),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_62]) ).
tcf(c_216634,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK20(sK9,sz00),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_66]) ).
tcf(c_216637,plain,
( ( sz00 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(superposition,[status(thm)],[c_192835,c_142]) ).
tcf(c_216642,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_64]) ).
tcf(c_216643,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_62]) ).
tcf(c_216644,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_66]) ).
tcf(c_216645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK9,sz00)),sz00)
| ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(superposition,[status(thm)],[c_192835,c_141]) ).
tcf(c_216646,plain,
( sdtlseqdt0(sK9,sz00)
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(superposition,[status(thm)],[c_192835,c_137]) ).
tcf(c_216647,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK9,sz00)))
| ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(superposition,[status(thm)],[c_192835,c_141]) ).
tcf(c_216648,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_145]) ).
tcf(c_216649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ sdtlseqdt0(sK20(sK9,sz00),X0) ),
inference(superposition,[status(thm)],[c_192835,c_139]) ).
tcf(c_216650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ sdtlseqdt0(X0,sK20(sK9,sz00)) ),
inference(superposition,[status(thm)],[c_192835,c_139]) ).
tcf(c_216651,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ( sdtasdt0(X0,sK20(sK9,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192835,c_146]) ).
tcf(c_216652,plain,
( sdtlseqdt0(sK9,sz00)
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216646,c_81]) ).
tcf(c_216656,plain,
( ( sz00 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216637,c_81]) ).
tcf(c_216660,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216648,c_81]) ).
tcf(c_216666,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ( sdtasdt0(X0,sK20(sK9,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216651,c_81]) ).
tcf(c_216672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ sdtlseqdt0(X0,sK20(sK9,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216650,c_81]) ).
tcf(c_216679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sK20(sK9,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ sdtlseqdt0(sK20(sK9,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216649,c_81]) ).
tcf(c_216686,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK9,sz00)))
| ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216647,c_81]) ).
tcf(c_216693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK9,sz00)),sz00)
| ( X0 = sK9 )
| ( sK20(sK9,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK20(sK9,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216645,c_81]) ).
tcf(c_216700,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216644,c_81]) ).
tcf(c_216709,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216643,c_81]) ).
tcf(c_216718,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK20(sK9,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216634,c_81]) ).
tcf(c_216727,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216642,c_81]) ).
tcf(c_216736,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK20(sK9,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216633,c_81]) ).
tcf(c_216745,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK9,sz00),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216632,c_81]) ).
tcf(c_216754,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK10,sz00),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_64]) ).
tcf(c_216755,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK20(sK10,sz00),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_62]) ).
tcf(c_216756,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK20(sK10,sz00),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_66]) ).
tcf(c_216759,plain,
( ( sz00 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(superposition,[status(thm)],[c_192836,c_142]) ).
tcf(c_216764,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_64]) ).
tcf(c_216765,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_62]) ).
tcf(c_216766,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_66]) ).
tcf(c_216767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK10,sz00)),sz00)
| ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(superposition,[status(thm)],[c_192836,c_141]) ).
tcf(c_216768,plain,
( sdtlseqdt0(sK10,sz00)
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(superposition,[status(thm)],[c_192836,c_137]) ).
tcf(c_216769,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK10,sz00)))
| ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(superposition,[status(thm)],[c_192836,c_141]) ).
tcf(c_216770,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_145]) ).
tcf(c_216771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ sdtlseqdt0(sK20(sK10,sz00),X0) ),
inference(superposition,[status(thm)],[c_192836,c_139]) ).
tcf(c_216772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ sdtlseqdt0(X0,sK20(sK10,sz00)) ),
inference(superposition,[status(thm)],[c_192836,c_139]) ).
tcf(c_216773,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ( sdtasdt0(X0,sK20(sK10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192836,c_146]) ).
tcf(c_216774,plain,
( sdtlseqdt0(sK10,sz00)
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216768,c_85]) ).
tcf(c_216778,plain,
( ( sz00 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216759,c_85]) ).
tcf(c_216782,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216770,c_85]) ).
tcf(c_216788,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ( sdtasdt0(X0,sK20(sK10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216773,c_85]) ).
tcf(c_216794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ sdtlseqdt0(X0,sK20(sK10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216772,c_85]) ).
tcf(c_216801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sK20(sK10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ sdtlseqdt0(sK20(sK10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216771,c_85]) ).
tcf(c_216808,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sK10,sz00)))
| ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216769,c_85]) ).
tcf(c_216815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK10,sz00)),sz00)
| ( X0 = sK10 )
| ( sK20(sK10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK20(sK10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216767,c_85]) ).
tcf(c_216822,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216766,c_85]) ).
tcf(c_216831,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216765,c_85]) ).
tcf(c_216840,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK20(sK10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216756,c_85]) ).
tcf(c_216849,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216764,c_85]) ).
tcf(c_216858,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK20(sK10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216755,c_85]) ).
tcf(c_216867,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK10,sz00),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216754,c_85]) ).
tcf(c_216982,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sz00),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_64]) ).
tcf(c_216983,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sz00),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_62]) ).
tcf(c_216984,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sz00),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_66]) ).
tcf(c_216987,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_192837,c_142]) ).
tcf(c_216992,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_64]) ).
tcf(c_216993,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_62]) ).
tcf(c_216994,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_66]) ).
tcf(c_216995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_192837,c_141]) ).
tcf(c_216996,plain,
( sdtlseqdt0(sz10,sz00)
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_192837,c_137]) ).
tcf(c_216997,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sz10,sz00)))
| ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_192837,c_141]) ).
tcf(c_216998,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_145]) ).
tcf(c_216999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ sdtlseqdt0(sK20(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_192837,c_139]) ).
tcf(c_217000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ sdtlseqdt0(X0,sK20(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_192837,c_139]) ).
tcf(c_217001,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ( sdtasdt0(X0,sK20(sz10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192837,c_146]) ).
tcf(c_217002,plain,
( ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216996,c_193016,c_155]) ).
tcf(c_217006,plain,
! [X0: $i] :
( ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216998,c_156,c_155]) ).
tcf(c_217011,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ( sdtasdt0(X0,sK20(sz10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217001,c_155]) ).
tcf(c_217017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ sdtlseqdt0(X0,sK20(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217000,c_156,c_155]) ).
tcf(c_217023,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sK20(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ sdtlseqdt0(sK20(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216999,c_156,c_155]) ).
tcf(c_217029,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sz10,sz00)))
| ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216997,c_155]) ).
tcf(c_217036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK20(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216995,c_155]) ).
tcf(c_217043,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216994,c_155]) ).
tcf(c_217052,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216993,c_155]) ).
tcf(c_217061,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216984,c_155]) ).
tcf(c_217070,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216992,c_155]) ).
tcf(c_217079,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216983,c_155]) ).
tcf(c_217088,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sz00),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216982,c_155]) ).
tcf(c_217113,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xn),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_64]) ).
tcf(c_217114,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xn),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_62]) ).
tcf(c_217115,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xn),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_66]) ).
tcf(c_217123,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_64]) ).
tcf(c_217124,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_62]) ).
tcf(c_217125,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_66]) ).
tcf(c_217126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xn)),xn)
| ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xn)) ),
inference(superposition,[status(thm)],[c_192838,c_141]) ).
tcf(c_217128,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(xr,xn)))
| ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xn)) ),
inference(superposition,[status(thm)],[c_192838,c_141]) ).
tcf(c_217129,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_145]) ).
tcf(c_217130,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ sdtlseqdt0(sK20(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_192838,c_139]) ).
tcf(c_217131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ sdtlseqdt0(X0,sK20(xr,xn)) ),
inference(superposition,[status(thm)],[c_192838,c_139]) ).
tcf(c_217132,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ( sdtasdt0(X0,sK20(xr,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_192838,c_146]) ).
tcf(c_217133,plain,
! [X0: $i] :
( ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217129,c_99,c_95]) ).
tcf(c_217138,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ( sdtasdt0(X0,sK20(xr,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217132,c_95]) ).
tcf(c_217144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ sdtlseqdt0(X0,sK20(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217131,c_99,c_95]) ).
tcf(c_217150,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sK20(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ sdtlseqdt0(sK20(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217130,c_99,c_95]) ).
tcf(c_217156,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(xr,xn)))
| ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217128,c_95]) ).
tcf(c_217163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xn)),xn)
| ( X0 = xr )
| ( sK20(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217126,c_95]) ).
tcf(c_217170,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217125,c_95]) ).
tcf(c_217179,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217124,c_95]) ).
tcf(c_217188,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217115,c_95]) ).
tcf(c_217197,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217123,c_95]) ).
tcf(c_217206,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217114,c_95]) ).
tcf(c_217215,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xn),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217113,c_95]) ).
tcf(c_217224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xk),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_64]) ).
tcf(c_217225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xk),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_62]) ).
tcf(c_217226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xk),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_66]) ).
tcf(c_217234,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_64]) ).
tcf(c_217235,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_62]) ).
tcf(c_217236,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_66]) ).
tcf(c_217237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xk)),xk)
| ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xk)) ),
inference(superposition,[status(thm)],[c_192839,c_141]) ).
tcf(c_217239,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(xr,xk)))
| ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xk)) ),
inference(superposition,[status(thm)],[c_192839,c_141]) ).
tcf(c_217240,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ( sdtasdt0(xr,X0) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_145]) ).
tcf(c_217241,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ sdtlseqdt0(sK20(xr,xk),X0) ),
inference(superposition,[status(thm)],[c_192839,c_139]) ).
tcf(c_217242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( sz00 = xr )
| ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ sdtlseqdt0(X0,sK20(xr,xk)) ),
inference(superposition,[status(thm)],[c_192839,c_139]) ).
tcf(c_217243,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ( sdtasdt0(X0,sK20(xr,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_192839,c_146]) ).
tcf(c_217244,plain,
! [X0: $i] :
( ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ( sdtasdt0(xr,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217240,c_99,c_95]) ).
tcf(c_217249,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ( sdtasdt0(X0,sK20(xr,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217243,c_95]) ).
tcf(c_217255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ sdtlseqdt0(X0,sK20(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217242,c_99,c_95]) ).
tcf(c_217261,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( sK20(xr,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ sdtlseqdt0(sK20(xr,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217241,c_99,c_95]) ).
tcf(c_217267,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(xr,xk)))
| ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217239,c_95]) ).
tcf(c_217274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xk)),xk)
| ( X0 = xr )
| ( sK20(xr,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217237,c_95]) ).
tcf(c_217281,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217236,c_95]) ).
tcf(c_217290,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217235,c_95]) ).
tcf(c_217299,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217226,c_95]) ).
tcf(c_217308,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217234,c_95]) ).
tcf(c_217317,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217225,c_95]) ).
tcf(c_217326,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xk),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217224,c_95]) ).
tcf(c_217400,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192905,c_65]) ).
tcf(c_217401,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192905,c_63]) ).
tcf(c_217402,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192905,c_67]) ).
tcf(c_217405,plain,
( ( sK19(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sz00 != sK18 ) ),
inference(superposition,[status(thm)],[c_192905,c_144]) ).
tcf(c_217409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK18)),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_192905,c_162]) ).
tcf(c_217410,plain,
! [X0: $i] :
( doDivides0(X0,sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sK19(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_192905,c_158]) ).
tcf(c_217411,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_192905,c_157]) ).
tcf(c_217412,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ sdtlseqdt0(sK19(sz00,sK18),X0) ),
inference(superposition,[status(thm)],[c_192905,c_160]) ).
tcf(c_217413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK18)
| ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ sdtlseqdt0(X0,sK19(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_192905,c_160]) ).
tcf(c_217414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sdtpldt0(X0,sK19(sz00,sK18)) != sK18 ) ),
inference(superposition,[status(thm)],[c_192905,c_167]) ).
tcf(c_217415,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK19(sz00,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_192905,c_162]) ).
tcf(c_217416,plain,
! [X0: $i] :
( ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sdtpldt0(sz00,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_192905,c_166]) ).
tcf(c_217417,plain,
( ( sK19(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sz00 != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217405,c_151]) ).
tcf(c_217421,plain,
! [X0: $i] :
( ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sdtpldt0(sz00,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217416,c_151]) ).
tcf(c_217426,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ( sdtpldt0(X0,sK19(sz00,sK18)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217414,c_151]) ).
tcf(c_217431,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217411,c_151]) ).
tcf(c_217437,plain,
! [X0: $i] :
( doDivides0(X0,sK18)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sK19(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217410,c_151]) ).
tcf(c_217443,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(X0,sK19(sz00,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217415,c_151]) ).
tcf(c_217449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sK18)),sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217409,c_151]) ).
tcf(c_217455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK18)
| ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ sdtlseqdt0(X0,sK19(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217413,c_151]) ).
tcf(c_217461,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtpldt0(sz00,X0))
| ( sK19(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ sdtlseqdt0(sK19(sz00,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217412,c_151]) ).
tcf(c_217467,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217402,c_151]) ).
tcf(c_217475,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217401,c_151]) ).
tcf(c_217483,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sK18)))
| ~ iLess0(sdtpldt0(sK18,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217400,c_151]) ).
tcf(c_217491,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192920,c_65]) ).
tcf(c_217492,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192920,c_63]) ).
tcf(c_217493,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192920,c_67]) ).
tcf(c_217500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_192920,c_162]) ).
tcf(c_217501,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sK19(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_192920,c_158]) ).
tcf(c_217502,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_192920,c_157]) ).
tcf(c_217503,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ sdtlseqdt0(sK19(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_192920,c_160]) ).
tcf(c_217504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ sdtlseqdt0(X0,sK19(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_192920,c_160]) ).
tcf(c_217505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ( sdtpldt0(X0,sK19(sz00,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_192920,c_167]) ).
tcf(c_217506,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK19(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_192920,c_162]) ).
tcf(c_217507,plain,
! [X0: $i] :
( ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_192920,c_166]) ).
tcf(c_217508,plain,
! [X0: $i] :
( ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217507,c_151]) ).
tcf(c_217513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ( sdtpldt0(X0,sK19(sz00,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217505,c_151]) ).
tcf(c_217518,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217502,c_151]) ).
tcf(c_217524,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sK19(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217501,c_151]) ).
tcf(c_217530,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK19(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217506,c_151]) ).
tcf(c_217536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217500,c_151]) ).
tcf(c_217542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ sdtlseqdt0(X0,sK19(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217504,c_151]) ).
tcf(c_217548,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK19(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ sdtlseqdt0(sK19(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217503,c_151]) ).
tcf(c_217554,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217493,c_151]) ).
tcf(c_217562,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217492,c_151]) ).
tcf(c_217570,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217491,c_151]) ).
tcf(c_217659,plain,
~ sdtlseqdt0(xn,sz00),
inference(global_subsumption_just,[status(thm)],[c_193010,c_122,c_11679,c_13032,c_13683]) ).
tcf(c_217663,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192761,c_65]) ).
tcf(c_217664,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192761,c_63]) ).
tcf(c_217665,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_192761,c_67]) ).
tcf(c_217672,plain,
( ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xm ) ),
inference(superposition,[status(thm)],[c_192761,c_78]) ).
tcf(c_217673,plain,
( ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xn ) ),
inference(superposition,[status(thm)],[c_192761,c_76]) ).
tcf(c_217674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192761,c_162]) ).
tcf(c_217675,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sK19(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192761,c_158]) ).
tcf(c_217676,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192761,c_157]) ).
tcf(c_217677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(xp,X0))
| ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(xp,sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_192761,c_160]) ).
tcf(c_217678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtasdt0(xn,xm))
| ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192761,c_160]) ).
tcf(c_217679,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192761,c_167]) ).
tcf(c_217680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192761,c_162]) ).
tcf(c_217681,plain,
! [X0: $i] :
( ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtpldt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192761,c_166]) ).
tcf(c_217686,plain,
! [X0: $i] :
( ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtpldt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217681,c_51]) ).
tcf(c_217691,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217679,c_51]) ).
tcf(c_217696,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217676,c_51]) ).
tcf(c_217702,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sK19(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217675,c_51]) ).
tcf(c_217708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217680,c_51]) ).
tcf(c_217714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xp,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217674,c_51]) ).
tcf(c_217720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtasdt0(xn,xm))
| ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217678,c_51]) ).
tcf(c_217726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(xp,X0))
| ( sK19(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(xp,sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217677,c_51]) ).
tcf(c_217732,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217665,c_51]) ).
tcf(c_217740,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217664,c_51]) ).
tcf(c_217748,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xp,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xp,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,sK19(xp,sdtasdt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217663,c_51]) ).
tcf(c_217784,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xn,xn),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_64]) ).
tcf(c_217785,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK20(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_62]) ).
tcf(c_217786,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK20(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_66]) ).
tcf(c_217794,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_64]) ).
tcf(c_217795,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_62]) ).
tcf(c_217796,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_66]) ).
tcf(c_217797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xn,xn)),xn)
| ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK20(xn,xn)) ),
inference(superposition,[status(thm)],[c_193235,c_141]) ).
tcf(c_217799,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(xn,xn)))
| ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK20(xn,xn)) ),
inference(superposition,[status(thm)],[c_193235,c_141]) ).
tcf(c_217800,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_145]) ).
tcf(c_217801,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ sdtlseqdt0(sK20(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_193235,c_139]) ).
tcf(c_217802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ sdtlseqdt0(X0,sK20(xn,xn)) ),
inference(superposition,[status(thm)],[c_193235,c_139]) ).
tcf(c_217803,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ( sdtasdt0(X0,sK20(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_193235,c_146]) ).
tcf(c_217804,plain,
! [X0: $i] :
( ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217800,c_214266,c_49]) ).
tcf(c_217809,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ( sdtasdt0(X0,sK20(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217803,c_49]) ).
tcf(c_217815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ sdtlseqdt0(X0,sK20(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217802,c_214266,c_49]) ).
tcf(c_217821,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sK20(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ sdtlseqdt0(sK20(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217801,c_214266,c_49]) ).
tcf(c_217827,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(xn,xn)))
| ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK20(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217799,c_49]) ).
tcf(c_217834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xn,xn)),xn)
| ( X0 = xn )
| ( sK20(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK20(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217797,c_49]) ).
tcf(c_217841,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217796,c_49]) ).
tcf(c_217850,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK7(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217795,c_49]) ).
tcf(c_217859,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK20(xn,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217786,c_49]) ).
tcf(c_217868,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK7(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217794,c_49]) ).
tcf(c_217877,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xn,X0))
| sP1(sK20(xn,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217785,c_49]) ).
tcf(c_217886,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xn,xn),X0)
| ( sdtasdt0(X0,sK7(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK20(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217784,c_49]) ).
tcf(c_217928,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xm,xm),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_64]) ).
tcf(c_217929,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK20(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_62]) ).
tcf(c_217930,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK20(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_66]) ).
tcf(c_217938,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_64]) ).
tcf(c_217939,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_62]) ).
tcf(c_217940,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_66]) ).
tcf(c_217941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xm,xm)),xm)
| ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK20(xm,xm)) ),
inference(superposition,[status(thm)],[c_193242,c_141]) ).
tcf(c_217943,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK20(xm,xm)))
| ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK20(xm,xm)) ),
inference(superposition,[status(thm)],[c_193242,c_141]) ).
tcf(c_217944,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_145]) ).
tcf(c_217945,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ sdtlseqdt0(sK20(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_193242,c_139]) ).
tcf(c_217946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ sdtlseqdt0(X0,sK20(xm,xm)) ),
inference(superposition,[status(thm)],[c_193242,c_139]) ).
tcf(c_217947,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ( sdtasdt0(X0,sK20(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_193242,c_146]) ).
tcf(c_217948,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217944,c_50]) ).
tcf(c_217954,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ( sdtasdt0(X0,sK20(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217947,c_50]) ).
tcf(c_217960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ sdtlseqdt0(X0,sK20(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217946,c_50]) ).
tcf(c_217967,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK20(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ sdtlseqdt0(sK20(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217945,c_50]) ).
tcf(c_217974,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK20(xm,xm)))
| ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK20(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217943,c_50]) ).
tcf(c_217981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xm,xm)),xm)
| ( X0 = xm )
| ( sK20(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK20(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217941,c_50]) ).
tcf(c_217988,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217940,c_50]) ).
tcf(c_217997,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217939,c_50]) ).
tcf(c_218006,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK20(xm,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217930,c_50]) ).
tcf(c_218015,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217938,c_50]) ).
tcf(c_218024,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sK20(xm,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217929,c_50]) ).
tcf(c_218033,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xm,xm),X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK20(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217928,c_50]) ).
tcf(c_218063,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_64]) ).
tcf(c_218064,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_62]) ).
tcf(c_218065,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_66]) ).
tcf(c_218073,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_64]) ).
tcf(c_218074,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_62]) ).
tcf(c_218075,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_66]) ).
tcf(c_218076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,xp)),xp)
| ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,xp)) ),
inference(superposition,[status(thm)],[c_193250,c_141]) ).
tcf(c_218078,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK20(xp,xp)))
| ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,xp)) ),
inference(superposition,[status(thm)],[c_193250,c_141]) ).
tcf(c_218079,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_145]) ).
tcf(c_218080,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ sdtlseqdt0(sK20(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_193250,c_139]) ).
tcf(c_218081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ sdtlseqdt0(X0,sK20(xp,xp)) ),
inference(superposition,[status(thm)],[c_193250,c_139]) ).
tcf(c_218082,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ( sdtasdt0(X0,sK20(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_193250,c_146]) ).
tcf(c_218083,plain,
! [X0: $i] :
( ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218079,c_68,c_51]) ).
tcf(c_218088,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ( sdtasdt0(X0,sK20(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218082,c_51]) ).
tcf(c_218094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ sdtlseqdt0(X0,sK20(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218081,c_68,c_51]) ).
tcf(c_218100,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sK20(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ sdtlseqdt0(sK20(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218080,c_68,c_51]) ).
tcf(c_218106,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK20(xp,xp)))
| ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218078,c_51]) ).
tcf(c_218113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,xp)),xp)
| ( X0 = xp )
| ( sK20(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218076,c_51]) ).
tcf(c_218120,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218075,c_51]) ).
tcf(c_218129,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218074,c_51]) ).
tcf(c_218138,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218065,c_51]) ).
tcf(c_218147,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218073,c_51]) ).
tcf(c_218156,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218064,c_51]) ).
tcf(c_218165,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218063,c_51]) ).
tcf(c_218204,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK8,sK8),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_64]) ).
tcf(c_218205,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK20(sK8,sK8),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_62]) ).
tcf(c_218206,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK20(sK8,sK8),X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_66]) ).
tcf(c_218214,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_64]) ).
tcf(c_218215,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_62]) ).
tcf(c_218216,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_66]) ).
tcf(c_218217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK8,sK8)),sK8)
| ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK20(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_193765,c_141]) ).
tcf(c_218219,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK20(sK8,sK8)))
| ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK20(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_193765,c_141]) ).
tcf(c_218220,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_145]) ).
tcf(c_218221,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ sdtlseqdt0(sK20(sK8,sK8),X0) ),
inference(superposition,[status(thm)],[c_193765,c_139]) ).
tcf(c_218222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ sdtlseqdt0(X0,sK20(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_193765,c_139]) ).
tcf(c_218223,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ( sdtasdt0(X0,sK20(sK8,sK8)) != sK8 ) ),
inference(superposition,[status(thm)],[c_193765,c_146]) ).
tcf(c_218224,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218220,c_73]) ).
tcf(c_218230,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ( sdtasdt0(X0,sK20(sK8,sK8)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218223,c_73]) ).
tcf(c_218236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ sdtlseqdt0(X0,sK20(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218222,c_73]) ).
tcf(c_218243,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sK20(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ sdtlseqdt0(sK20(sK8,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218221,c_73]) ).
tcf(c_218250,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK20(sK8,sK8)))
| ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sK20(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218219,c_73]) ).
tcf(c_218257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK8,sK8)),sK8)
| ( X0 = sK8 )
| ( sK20(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK20(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218217,c_73]) ).
tcf(c_218264,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218216,c_73]) ).
tcf(c_218273,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218215,c_73]) ).
tcf(c_218282,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sK20(sK8,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218206,c_73]) ).
tcf(c_218291,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218214,c_73]) ).
tcf(c_218300,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sK20(sK8,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218205,c_73]) ).
tcf(c_218309,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK8,sK8),X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sK20(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218204,c_73]) ).
tcf(c_218503,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK9,sK9),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_64]) ).
tcf(c_218504,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK20(sK9,sK9),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_62]) ).
tcf(c_218505,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK20(sK9,sK9),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_66]) ).
tcf(c_218513,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_64]) ).
tcf(c_218514,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_62]) ).
tcf(c_218515,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_66]) ).
tcf(c_218516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK9,sK9)),sK9)
| ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK20(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_193774,c_141]) ).
tcf(c_218518,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK20(sK9,sK9)))
| ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK20(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_193774,c_141]) ).
tcf(c_218519,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_145]) ).
tcf(c_218520,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ sdtlseqdt0(sK20(sK9,sK9),X0) ),
inference(superposition,[status(thm)],[c_193774,c_139]) ).
tcf(c_218521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ sdtlseqdt0(X0,sK20(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_193774,c_139]) ).
tcf(c_218522,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ( sdtasdt0(X0,sK20(sK9,sK9)) != sK9 ) ),
inference(superposition,[status(thm)],[c_193774,c_146]) ).
tcf(c_218523,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218519,c_81]) ).
tcf(c_218529,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ( sdtasdt0(X0,sK20(sK9,sK9)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218522,c_81]) ).
tcf(c_218535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ sdtlseqdt0(X0,sK20(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218521,c_81]) ).
tcf(c_218542,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sK20(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ sdtlseqdt0(sK20(sK9,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218520,c_81]) ).
tcf(c_218549,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK20(sK9,sK9)))
| ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK20(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218518,c_81]) ).
tcf(c_218556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK9,sK9)),sK9)
| ( X0 = sK9 )
| ( sK20(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK20(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218516,c_81]) ).
tcf(c_218563,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218515,c_81]) ).
tcf(c_218572,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218514,c_81]) ).
tcf(c_218581,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK20(sK9,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218505,c_81]) ).
tcf(c_218590,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218513,c_81]) ).
tcf(c_218599,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK20(sK9,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218504,c_81]) ).
tcf(c_218608,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK9,sK9),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sK20(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218503,c_81]) ).
tcf(c_218617,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK10,sK10),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_64]) ).
tcf(c_218618,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK20(sK10,sK10),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_62]) ).
tcf(c_218619,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK20(sK10,sK10),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_66]) ).
tcf(c_218627,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_64]) ).
tcf(c_218628,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_62]) ).
tcf(c_218629,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_66]) ).
tcf(c_218630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK10,sK10)),sK10)
| ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK20(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_193815,c_141]) ).
tcf(c_218632,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK20(sK10,sK10)))
| ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK20(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_193815,c_141]) ).
tcf(c_218633,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_145]) ).
tcf(c_218634,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ sdtlseqdt0(sK20(sK10,sK10),X0) ),
inference(superposition,[status(thm)],[c_193815,c_139]) ).
tcf(c_218635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ sdtlseqdt0(X0,sK20(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_193815,c_139]) ).
tcf(c_218636,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ( sdtasdt0(X0,sK20(sK10,sK10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_193815,c_146]) ).
tcf(c_218637,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218633,c_85]) ).
tcf(c_218643,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ( sdtasdt0(X0,sK20(sK10,sK10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218636,c_85]) ).
tcf(c_218649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ sdtlseqdt0(X0,sK20(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218635,c_85]) ).
tcf(c_218656,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sK20(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ sdtlseqdt0(sK20(sK10,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218634,c_85]) ).
tcf(c_218663,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK20(sK10,sK10)))
| ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK20(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218632,c_85]) ).
tcf(c_218670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK10,sK10)),sK10)
| ( X0 = sK10 )
| ( sK20(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK20(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218630,c_85]) ).
tcf(c_218677,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218629,c_85]) ).
tcf(c_218686,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218628,c_85]) ).
tcf(c_218695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK20(sK10,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218619,c_85]) ).
tcf(c_218704,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218627,c_85]) ).
tcf(c_218713,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK20(sK10,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218618,c_85]) ).
tcf(c_218722,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK10,sK10),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sK20(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218617,c_85]) ).
tcf(c_218848,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_64]) ).
tcf(c_218849,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK20(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_62]) ).
tcf(c_218850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK20(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_66]) ).
tcf(c_218858,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_64]) ).
tcf(c_218859,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_62]) ).
tcf(c_218860,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_66]) ).
tcf(c_218861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xk,xk)),xk)
| ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK20(xk,xk)) ),
inference(superposition,[status(thm)],[c_193824,c_141]) ).
tcf(c_218863,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(xk,xk)))
| ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK20(xk,xk)) ),
inference(superposition,[status(thm)],[c_193824,c_141]) ).
tcf(c_218864,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_145]) ).
tcf(c_218865,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ sdtlseqdt0(sK20(xk,xk),X0) ),
inference(superposition,[status(thm)],[c_193824,c_139]) ).
tcf(c_218866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sz00 = xk )
| ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ sdtlseqdt0(X0,sK20(xk,xk)) ),
inference(superposition,[status(thm)],[c_193824,c_139]) ).
tcf(c_218867,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ( sdtasdt0(X0,sK20(xk,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_193824,c_146]) ).
tcf(c_218868,plain,
! [X0: $i] :
( ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218864,c_93,c_88]) ).
tcf(c_218873,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ( sdtasdt0(X0,sK20(xk,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218867,c_88]) ).
tcf(c_218879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ sdtlseqdt0(X0,sK20(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218866,c_93,c_88]) ).
tcf(c_218885,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sK20(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ sdtlseqdt0(sK20(xk,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218865,c_93,c_88]) ).
tcf(c_218891,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(xk,xk)))
| ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK20(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218863,c_88]) ).
tcf(c_218898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xk,xk)),xk)
| ( X0 = xk )
| ( sK20(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK20(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218861,c_88]) ).
tcf(c_218905,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218860,c_88]) ).
tcf(c_218914,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218859,c_88]) ).
tcf(c_218923,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sK20(xk,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218850,c_88]) ).
tcf(c_218932,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218858,c_88]) ).
tcf(c_218941,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sK20(xk,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218849,c_88]) ).
tcf(c_218950,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sK20(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218848,c_88]) ).
tcf(c_218959,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_64]) ).
tcf(c_218960,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_62]) ).
tcf(c_218961,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_66]) ).
tcf(c_218969,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_64]) ).
tcf(c_218970,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_62]) ).
tcf(c_218971,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_66]) ).
tcf(c_218972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xr)),xr)
| ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xr)) ),
inference(superposition,[status(thm)],[c_193834,c_141]) ).
tcf(c_218974,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK20(xr,xr)))
| ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xr)) ),
inference(superposition,[status(thm)],[c_193834,c_141]) ).
tcf(c_218975,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_145]) ).
tcf(c_218976,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ sdtlseqdt0(sK20(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_193834,c_139]) ).
tcf(c_218977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ sdtlseqdt0(X0,sK20(xr,xr)) ),
inference(superposition,[status(thm)],[c_193834,c_139]) ).
tcf(c_218978,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ( sdtasdt0(X0,sK20(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_193834,c_146]) ).
tcf(c_218979,plain,
! [X0: $i] :
( ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218975,c_99,c_95]) ).
tcf(c_218984,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ( sdtasdt0(X0,sK20(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218978,c_95]) ).
tcf(c_218990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ sdtlseqdt0(X0,sK20(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218977,c_99,c_95]) ).
tcf(c_218996,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sK20(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ sdtlseqdt0(sK20(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218976,c_99,c_95]) ).
tcf(c_219002,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK20(xr,xr)))
| ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218974,c_95]) ).
tcf(c_219009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,xr)),xr)
| ( X0 = xr )
| ( sK20(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218972,c_95]) ).
tcf(c_219016,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218971,c_95]) ).
tcf(c_219025,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218970,c_95]) ).
tcf(c_219034,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218961,c_95]) ).
tcf(c_219043,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218969,c_95]) ).
tcf(c_219052,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218960,c_95]) ).
tcf(c_219061,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218959,c_95]) ).
tcf(c_219070,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK11,sK11),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_64]) ).
tcf(c_219071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK20(sK11,sK11),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_62]) ).
tcf(c_219072,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK20(sK11,sK11),X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_66]) ).
tcf(c_219080,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_64]) ).
tcf(c_219081,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_62]) ).
tcf(c_219082,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_66]) ).
tcf(c_219083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK11,sK11)),sK11)
| ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK20(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_193856,c_141]) ).
tcf(c_219085,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK20(sK11,sK11)))
| ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK20(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_193856,c_141]) ).
tcf(c_219086,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_145]) ).
tcf(c_219087,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ sdtlseqdt0(sK20(sK11,sK11),X0) ),
inference(superposition,[status(thm)],[c_193856,c_139]) ).
tcf(c_219088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ sdtlseqdt0(X0,sK20(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_193856,c_139]) ).
tcf(c_219089,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ( sdtasdt0(X0,sK20(sK11,sK11)) != sK11 ) ),
inference(superposition,[status(thm)],[c_193856,c_146]) ).
tcf(c_219090,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219086,c_96]) ).
tcf(c_219096,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ( sdtasdt0(X0,sK20(sK11,sK11)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219089,c_96]) ).
tcf(c_219102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ sdtlseqdt0(X0,sK20(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219088,c_96]) ).
tcf(c_219109,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sK20(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ sdtlseqdt0(sK20(sK11,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219087,c_96]) ).
tcf(c_219116,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK20(sK11,sK11)))
| ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sK20(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219085,c_96]) ).
tcf(c_219123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK11,sK11)),sK11)
| ( X0 = sK11 )
| ( sK20(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK20(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219083,c_96]) ).
tcf(c_219130,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219082,c_96]) ).
tcf(c_219139,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219081,c_96]) ).
tcf(c_219148,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sK20(sK11,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219072,c_96]) ).
tcf(c_219157,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219080,c_96]) ).
tcf(c_219166,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sK20(sK11,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219071,c_96]) ).
tcf(c_219175,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK11,sK11),X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sK20(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219070,c_96]) ).
tcf(c_219193,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK12,sK12),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_64]) ).
tcf(c_219194,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK20(sK12,sK12),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_62]) ).
tcf(c_219195,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK20(sK12,sK12),X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_66]) ).
tcf(c_219203,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_64]) ).
tcf(c_219204,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_62]) ).
tcf(c_219205,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_66]) ).
tcf(c_219206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK12,sK12)),sK12)
| ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK20(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_194458,c_141]) ).
tcf(c_219208,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK20(sK12,sK12)))
| ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK20(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_194458,c_141]) ).
tcf(c_219209,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_145]) ).
tcf(c_219210,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ sdtlseqdt0(sK20(sK12,sK12),X0) ),
inference(superposition,[status(thm)],[c_194458,c_139]) ).
tcf(c_219211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ sdtlseqdt0(X0,sK20(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_194458,c_139]) ).
tcf(c_219212,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ( sdtasdt0(X0,sK20(sK12,sK12)) != sK12 ) ),
inference(superposition,[status(thm)],[c_194458,c_146]) ).
tcf(c_219213,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219209,c_104]) ).
tcf(c_219219,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ( sdtasdt0(X0,sK20(sK12,sK12)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219212,c_104]) ).
tcf(c_219225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ sdtlseqdt0(X0,sK20(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219211,c_104]) ).
tcf(c_219232,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sK20(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ sdtlseqdt0(sK20(sK12,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219210,c_104]) ).
tcf(c_219239,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK20(sK12,sK12)))
| ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sK20(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219208,c_104]) ).
tcf(c_219246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK12,sK12)),sK12)
| ( X0 = sK12 )
| ( sK20(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK20(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219206,c_104]) ).
tcf(c_219253,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219205,c_104]) ).
tcf(c_219262,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219204,c_104]) ).
tcf(c_219271,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sK20(sK12,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219195,c_104]) ).
tcf(c_219280,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219203,c_104]) ).
tcf(c_219289,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sK20(sK12,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219194,c_104]) ).
tcf(c_219298,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK12,sK12),X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sK20(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219193,c_104]) ).
tcf(c_219377,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK13,sK13),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_64]) ).
tcf(c_219378,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK20(sK13,sK13),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_62]) ).
tcf(c_219379,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK20(sK13,sK13),X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_66]) ).
tcf(c_219387,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_64]) ).
tcf(c_219388,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_62]) ).
tcf(c_219389,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_66]) ).
tcf(c_219390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK13,sK13)),sK13)
| ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK20(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_194469,c_141]) ).
tcf(c_219392,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK20(sK13,sK13)))
| ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK20(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_194469,c_141]) ).
tcf(c_219393,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_145]) ).
tcf(c_219394,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ sdtlseqdt0(sK20(sK13,sK13),X0) ),
inference(superposition,[status(thm)],[c_194469,c_139]) ).
tcf(c_219395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ sdtlseqdt0(X0,sK20(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_194469,c_139]) ).
tcf(c_219396,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ( sdtasdt0(X0,sK20(sK13,sK13)) != sK13 ) ),
inference(superposition,[status(thm)],[c_194469,c_146]) ).
tcf(c_219397,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219393,c_106]) ).
tcf(c_219403,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ( sdtasdt0(X0,sK20(sK13,sK13)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219396,c_106]) ).
tcf(c_219409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ sdtlseqdt0(X0,sK20(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219395,c_106]) ).
tcf(c_219416,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sK20(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ sdtlseqdt0(sK20(sK13,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219394,c_106]) ).
tcf(c_219423,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK20(sK13,sK13)))
| ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sK20(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219392,c_106]) ).
tcf(c_219430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK13,sK13)),sK13)
| ( X0 = sK13 )
| ( sK20(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK20(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219390,c_106]) ).
tcf(c_219437,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219389,c_106]) ).
tcf(c_219446,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219388,c_106]) ).
tcf(c_219455,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sK20(sK13,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219379,c_106]) ).
tcf(c_219464,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219387,c_106]) ).
tcf(c_219473,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sK20(sK13,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219378,c_106]) ).
tcf(c_219482,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK13,sK13),X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sK20(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219377,c_106]) ).
tcf(c_219491,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK14,sK14),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_64]) ).
tcf(c_219492,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK20(sK14,sK14),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_62]) ).
tcf(c_219493,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK20(sK14,sK14),X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_66]) ).
tcf(c_219501,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_64]) ).
tcf(c_219502,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_62]) ).
tcf(c_219503,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_66]) ).
tcf(c_219504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK14,sK14)),sK14)
| ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK20(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_194487,c_141]) ).
tcf(c_219506,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK20(sK14,sK14)))
| ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK20(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_194487,c_141]) ).
tcf(c_219507,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_145]) ).
tcf(c_219508,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ sdtlseqdt0(sK20(sK14,sK14),X0) ),
inference(superposition,[status(thm)],[c_194487,c_139]) ).
tcf(c_219509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ sdtlseqdt0(X0,sK20(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_194487,c_139]) ).
tcf(c_219510,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ( sdtasdt0(X0,sK20(sK14,sK14)) != sK14 ) ),
inference(superposition,[status(thm)],[c_194487,c_146]) ).
tcf(c_219511,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219507,c_110]) ).
tcf(c_219517,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ( sdtasdt0(X0,sK20(sK14,sK14)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219510,c_110]) ).
tcf(c_219523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ sdtlseqdt0(X0,sK20(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219509,c_110]) ).
tcf(c_219530,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sK20(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ sdtlseqdt0(sK20(sK14,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219508,c_110]) ).
tcf(c_219537,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK20(sK14,sK14)))
| ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sK20(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219506,c_110]) ).
tcf(c_219544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK14,sK14)),sK14)
| ( X0 = sK14 )
| ( sK20(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK20(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219504,c_110]) ).
tcf(c_219551,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219503,c_110]) ).
tcf(c_219560,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219502,c_110]) ).
tcf(c_219569,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sK20(sK14,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219493,c_110]) ).
tcf(c_219578,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219501,c_110]) ).
tcf(c_219587,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sK20(sK14,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219492,c_110]) ).
tcf(c_219596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK14,sK14),X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sK20(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219491,c_110]) ).
tcf(c_219628,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK17,sK17),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_64]) ).
tcf(c_219629,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK20(sK17,sK17),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_62]) ).
tcf(c_219630,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK20(sK17,sK17),X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_66]) ).
tcf(c_219638,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_64]) ).
tcf(c_219639,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_62]) ).
tcf(c_219640,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_66]) ).
tcf(c_219641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK17,sK17)),sK17)
| ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK20(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_194498,c_141]) ).
tcf(c_219643,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK20(sK17,sK17)))
| ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK20(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_194498,c_141]) ).
tcf(c_219644,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_145]) ).
tcf(c_219645,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ sdtlseqdt0(sK20(sK17,sK17),X0) ),
inference(superposition,[status(thm)],[c_194498,c_139]) ).
tcf(c_219646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ sdtlseqdt0(X0,sK20(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_194498,c_139]) ).
tcf(c_219647,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ( sdtasdt0(X0,sK20(sK17,sK17)) != sK17 ) ),
inference(superposition,[status(thm)],[c_194498,c_146]) ).
tcf(c_219648,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219644,c_119]) ).
tcf(c_219654,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ( sdtasdt0(X0,sK20(sK17,sK17)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219647,c_119]) ).
tcf(c_219660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ sdtlseqdt0(X0,sK20(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219646,c_119]) ).
tcf(c_219667,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sK20(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ sdtlseqdt0(sK20(sK17,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219645,c_119]) ).
tcf(c_219674,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK20(sK17,sK17)))
| ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sK20(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219643,c_119]) ).
tcf(c_219681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK17,sK17)),sK17)
| ( X0 = sK17 )
| ( sK20(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK20(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219641,c_119]) ).
tcf(c_219688,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219640,c_119]) ).
tcf(c_219697,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219639,c_119]) ).
tcf(c_219706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sK20(sK17,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219630,c_119]) ).
tcf(c_219715,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219638,c_119]) ).
tcf(c_219724,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sK20(sK17,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219629,c_119]) ).
tcf(c_219733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK17,sK17),X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sK20(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219628,c_119]) ).
tcf(c_219849,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK18,sK18),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_64]) ).
tcf(c_219850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK20(sK18,sK18),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_62]) ).
tcf(c_219851,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK20(sK18,sK18),X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_66]) ).
tcf(c_219859,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_64]) ).
tcf(c_219860,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_62]) ).
tcf(c_219861,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_66]) ).
tcf(c_219862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK18,sK18)),sK18)
| ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK20(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_194542,c_141]) ).
tcf(c_219864,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK20(sK18,sK18)))
| ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK20(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_194542,c_141]) ).
tcf(c_219865,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_145]) ).
tcf(c_219866,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ sdtlseqdt0(sK20(sK18,sK18),X0) ),
inference(superposition,[status(thm)],[c_194542,c_139]) ).
tcf(c_219867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ sdtlseqdt0(X0,sK20(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_194542,c_139]) ).
tcf(c_219868,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ( sdtasdt0(X0,sK20(sK18,sK18)) != sK18 ) ),
inference(superposition,[status(thm)],[c_194542,c_146]) ).
tcf(c_219869,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219865,c_127]) ).
tcf(c_219875,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ( sdtasdt0(X0,sK20(sK18,sK18)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219868,c_127]) ).
tcf(c_219881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ sdtlseqdt0(X0,sK20(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219867,c_127]) ).
tcf(c_219888,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sK20(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ sdtlseqdt0(sK20(sK18,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219866,c_127]) ).
tcf(c_219895,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK20(sK18,sK18)))
| ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sK20(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219864,c_127]) ).
tcf(c_219902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sK18,sK18)),sK18)
| ( X0 = sK18 )
| ( sK20(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK20(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219862,c_127]) ).
tcf(c_219909,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219861,c_127]) ).
tcf(c_219918,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219860,c_127]) ).
tcf(c_219927,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sK20(sK18,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219851,c_127]) ).
tcf(c_219936,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219859,c_127]) ).
tcf(c_219945,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sK20(sK18,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219850,c_127]) ).
tcf(c_219954,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sK18,sK18),X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sK20(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219849,c_127]) ).
tcf(c_219975,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_64]) ).
tcf(c_219976,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_62]) ).
tcf(c_219977,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_66]) ).
tcf(c_219985,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_64]) ).
tcf(c_219986,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_62]) ).
tcf(c_219987,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_66]) ).
tcf(c_219988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195341,c_141]) ).
tcf(c_219990,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK20(sz10,sz10)))
| ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195341,c_141]) ).
tcf(c_219991,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_145]) ).
tcf(c_219992,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ sdtlseqdt0(sK20(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_195341,c_139]) ).
tcf(c_219993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ sdtlseqdt0(X0,sK20(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195341,c_139]) ).
tcf(c_219994,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ( sdtasdt0(X0,sK20(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_195341,c_146]) ).
tcf(c_219995,plain,
! [X0: $i] :
( ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219991,c_156,c_155]) ).
tcf(c_220000,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ( sdtasdt0(X0,sK20(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219994,c_155]) ).
tcf(c_220006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ sdtlseqdt0(X0,sK20(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219993,c_156,c_155]) ).
tcf(c_220012,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK20(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ sdtlseqdt0(sK20(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219992,c_156,c_155]) ).
tcf(c_220018,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK20(sz10,sz10)))
| ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219990,c_155]) ).
tcf(c_220025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK20(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219988,c_155]) ).
tcf(c_220032,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219987,c_155]) ).
tcf(c_220041,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219986,c_155]) ).
tcf(c_220050,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219977,c_155]) ).
tcf(c_220059,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219985,c_155]) ).
tcf(c_220068,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219976,c_155]) ).
tcf(c_220077,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219975,c_155]) ).
tcf(c_220218,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(superposition,[status(thm)],[c_192762,c_65]) ).
tcf(c_220219,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(superposition,[status(thm)],[c_192762,c_63]) ).
tcf(c_220220,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(superposition,[status(thm)],[c_192762,c_67]) ).
tcf(c_220227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)),xn)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(superposition,[status(thm)],[c_192762,c_162]) ).
tcf(c_220228,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ doDivides0(X0,sK19(sdtsldt0(xn,xr),xn)) ),
inference(superposition,[status(thm)],[c_192762,c_158]) ).
tcf(c_220229,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtsldt0(xn,xr),xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(superposition,[status(thm)],[c_192762,c_157]) ).
tcf(c_220230,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ sdtlseqdt0(sK19(sdtsldt0(xn,xr),xn),X0) ),
inference(superposition,[status(thm)],[c_192762,c_160]) ).
tcf(c_220231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn)
| ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ sdtlseqdt0(X0,sK19(sdtsldt0(xn,xr),xn)) ),
inference(superposition,[status(thm)],[c_192762,c_160]) ).
tcf(c_220232,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ( sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)) != xn ) ),
inference(superposition,[status(thm)],[c_192762,c_167]) ).
tcf(c_220233,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(superposition,[status(thm)],[c_192762,c_162]) ).
tcf(c_220234,plain,
! [X0: $i] :
( ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != xn ) ),
inference(superposition,[status(thm)],[c_192762,c_166]) ).
tcf(c_220235,plain,
! [X0: $i] :
( ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220234,c_125]) ).
tcf(c_220240,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ( sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220232,c_125]) ).
tcf(c_220245,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtsldt0(xn,xr),xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220229,c_125]) ).
tcf(c_220251,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ doDivides0(X0,sK19(sdtsldt0(xn,xr),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220228,c_125]) ).
tcf(c_220257,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220233,c_125]) ).
tcf(c_220263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtsldt0(xn,xr),xn)),xn)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220227,c_125]) ).
tcf(c_220269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn)
| ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ sdtlseqdt0(X0,sK19(sdtsldt0(xn,xr),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220231,c_125]) ).
tcf(c_220275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK19(sdtsldt0(xn,xr),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ sdtlseqdt0(sK19(sdtsldt0(xn,xr),xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220230,c_125]) ).
tcf(c_220281,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220220,c_125]) ).
tcf(c_220289,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220219,c_125]) ).
tcf(c_220297,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sdtsldt0(xn,xr),xn),X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220218,c_125]) ).
tcf(c_220305,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xn),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_64]) ).
tcf(c_220306,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_62]) ).
tcf(c_220307,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_66]) ).
tcf(c_220315,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_64]) ).
tcf(c_220316,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_62]) ).
tcf(c_220317,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_66]) ).
tcf(c_220318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xn)) ),
inference(superposition,[status(thm)],[c_195356,c_141]) ).
tcf(c_220320,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(sz10,xn)))
| ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xn)) ),
inference(superposition,[status(thm)],[c_195356,c_141]) ).
tcf(c_220321,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_145]) ).
tcf(c_220322,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ sdtlseqdt0(sK20(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_195356,c_139]) ).
tcf(c_220323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ sdtlseqdt0(X0,sK20(sz10,xn)) ),
inference(superposition,[status(thm)],[c_195356,c_139]) ).
tcf(c_220324,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ( sdtasdt0(X0,sK20(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_195356,c_146]) ).
tcf(c_220325,plain,
! [X0: $i] :
( ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220321,c_156,c_155]) ).
tcf(c_220330,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ( sdtasdt0(X0,sK20(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220324,c_155]) ).
tcf(c_220336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ sdtlseqdt0(X0,sK20(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220323,c_156,c_155]) ).
tcf(c_220342,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sK20(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ sdtlseqdt0(sK20(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220322,c_156,c_155]) ).
tcf(c_220348,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK20(sz10,xn)))
| ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220320,c_155]) ).
tcf(c_220355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK20(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220318,c_155]) ).
tcf(c_220362,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220317,c_155]) ).
tcf(c_220371,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220316,c_155]) ).
tcf(c_220380,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220307,c_155]) ).
tcf(c_220389,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220315,c_155]) ).
tcf(c_220398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220306,c_155]) ).
tcf(c_220407,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xn),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220305,c_155]) ).
tcf(c_220583,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_64]) ).
tcf(c_220584,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_62]) ).
tcf(c_220585,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_66]) ).
tcf(c_220588,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_195375,c_142]) ).
tcf(c_220593,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_64]) ).
tcf(c_220594,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_62]) ).
tcf(c_220595,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_66]) ).
tcf(c_220596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(superposition,[status(thm)],[c_195375,c_141]) ).
tcf(c_220597,plain,
( sdtlseqdt0(sz10,xm)
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(superposition,[status(thm)],[c_195375,c_137]) ).
tcf(c_220598,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK20(sz10,xm)))
| ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(superposition,[status(thm)],[c_195375,c_141]) ).
tcf(c_220599,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_145]) ).
tcf(c_220600,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ sdtlseqdt0(sK20(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_195375,c_139]) ).
tcf(c_220601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ sdtlseqdt0(X0,sK20(sz10,xm)) ),
inference(superposition,[status(thm)],[c_195375,c_139]) ).
tcf(c_220602,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( sdtasdt0(X0,sK20(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_195375,c_146]) ).
tcf(c_220603,plain,
( sdtlseqdt0(sz10,xm)
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220597,c_155]) ).
tcf(c_220607,plain,
( ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220588,c_156,c_155]) ).
tcf(c_220611,plain,
! [X0: $i] :
( ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220599,c_156,c_155]) ).
tcf(c_220616,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ( sdtasdt0(X0,sK20(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220602,c_155]) ).
tcf(c_220622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ sdtlseqdt0(X0,sK20(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220601,c_156,c_155]) ).
tcf(c_220628,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sK20(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ sdtlseqdt0(sK20(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220600,c_156,c_155]) ).
tcf(c_220634,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK20(sz10,xm)))
| ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220598,c_155]) ).
tcf(c_220641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK20(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220596,c_155]) ).
tcf(c_220648,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220595,c_155]) ).
tcf(c_220657,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220594,c_155]) ).
tcf(c_220666,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220585,c_155]) ).
tcf(c_220675,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220593,c_155]) ).
tcf(c_220684,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220584,c_155]) ).
tcf(c_220693,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220583,c_155]) ).
tcf(c_220718,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_64]) ).
tcf(c_220719,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_62]) ).
tcf(c_220720,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_66]) ).
tcf(c_220728,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_64]) ).
tcf(c_220729,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_62]) ).
tcf(c_220730,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_66]) ).
tcf(c_220731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195393,c_141]) ).
tcf(c_220733,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK20(sz10,xp)))
| ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195393,c_141]) ).
tcf(c_220734,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_145]) ).
tcf(c_220735,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ sdtlseqdt0(sK20(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_195393,c_139]) ).
tcf(c_220736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ sdtlseqdt0(X0,sK20(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195393,c_139]) ).
tcf(c_220737,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ( sdtasdt0(X0,sK20(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_195393,c_146]) ).
tcf(c_220738,plain,
! [X0: $i] :
( ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220734,c_156,c_155]) ).
tcf(c_220743,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ( sdtasdt0(X0,sK20(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220737,c_155]) ).
tcf(c_220749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ sdtlseqdt0(X0,sK20(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220736,c_156,c_155]) ).
tcf(c_220755,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sK20(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ sdtlseqdt0(sK20(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220735,c_156,c_155]) ).
tcf(c_220761,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK20(sz10,xp)))
| ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220733,c_155]) ).
tcf(c_220768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK20(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220731,c_155]) ).
tcf(c_220775,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220730,c_155]) ).
tcf(c_220784,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220729,c_155]) ).
tcf(c_220793,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220720,c_155]) ).
tcf(c_220802,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220728,c_155]) ).
tcf(c_220811,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220719,c_155]) ).
tcf(c_220820,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220718,c_155]) ).
tcf(c_220895,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_195403,c_65]) ).
tcf(c_220896,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_195403,c_63]) ).
tcf(c_220897,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_195403,c_67]) ).
tcf(c_220904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195403,c_162]) ).
tcf(c_220905,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sK19(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195403,c_158]) ).
tcf(c_220906,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195403,c_157]) ).
tcf(c_220907,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ sdtlseqdt0(sK19(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_195403,c_160]) ).
tcf(c_220908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ sdtlseqdt0(X0,sK19(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195403,c_160]) ).
tcf(c_220909,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ( sdtpldt0(X0,sK19(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_195403,c_167]) ).
tcf(c_220910,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(superposition,[status(thm)],[c_195403,c_162]) ).
tcf(c_220911,plain,
! [X0: $i] :
( ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_195403,c_166]) ).
tcf(c_220912,plain,
! [X0: $i] :
( ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220911,c_155]) ).
tcf(c_220917,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ( sdtpldt0(X0,sK19(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220909,c_155]) ).
tcf(c_220922,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220906,c_155]) ).
tcf(c_220928,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sK19(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220905,c_155]) ).
tcf(c_220934,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220910,c_155]) ).
tcf(c_220940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220904,c_155]) ).
tcf(c_220946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ sdtlseqdt0(X0,sK19(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220908,c_155]) ).
tcf(c_220952,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK19(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ sdtlseqdt0(sK19(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220907,c_155]) ).
tcf(c_220958,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220897,c_155]) ).
tcf(c_220966,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220896,c_155]) ).
tcf(c_220974,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220895,c_155]) ).
tcf(c_220982,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_64]) ).
tcf(c_220983,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_62]) ).
tcf(c_220984,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_66]) ).
tcf(c_220987,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sz00 != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_142]) ).
tcf(c_220992,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_64]) ).
tcf(c_220993,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_62]) ).
tcf(c_220994,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_66]) ).
tcf(c_220995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK8)),sK8)
| ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(superposition,[status(thm)],[c_195425,c_141]) ).
tcf(c_220996,plain,
( sdtlseqdt0(sz10,sK8)
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(superposition,[status(thm)],[c_195425,c_137]) ).
tcf(c_220997,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK20(sz10,sK8)))
| ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(superposition,[status(thm)],[c_195425,c_141]) ).
tcf(c_220998,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_145]) ).
tcf(c_220999,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ sdtlseqdt0(sK20(sz10,sK8),X0) ),
inference(superposition,[status(thm)],[c_195425,c_139]) ).
tcf(c_221000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( sz00 = sz10 )
| ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ sdtlseqdt0(X0,sK20(sz10,sK8)) ),
inference(superposition,[status(thm)],[c_195425,c_139]) ).
tcf(c_221001,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sdtasdt0(X0,sK20(sz10,sK8)) != sK8 ) ),
inference(superposition,[status(thm)],[c_195425,c_146]) ).
tcf(c_221002,plain,
( sdtlseqdt0(sz10,sK8)
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220996,c_155]) ).
tcf(c_221006,plain,
( ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sz00 != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220987,c_156,c_155]) ).
tcf(c_221010,plain,
! [X0: $i] :
( ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220998,c_156,c_155]) ).
tcf(c_221015,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ( sdtasdt0(X0,sK20(sz10,sK8)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221001,c_155]) ).
tcf(c_221021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ sdtlseqdt0(X0,sK20(sz10,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221000,c_156,c_155]) ).
tcf(c_221027,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ sdtlseqdt0(sK20(sz10,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220999,c_156,c_155]) ).
tcf(c_221033,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sK20(sz10,sK8)))
| ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220997,c_155]) ).
tcf(c_221040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK8)),sK8)
| ( X0 = sz10 )
| ( sK20(sz10,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220995,c_155]) ).
tcf(c_221047,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220994,c_155]) ).
tcf(c_221056,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220993,c_155]) ).
tcf(c_221065,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220984,c_155]) ).
tcf(c_221074,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220992,c_155]) ).
tcf(c_221083,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220983,c_155]) ).
tcf(c_221092,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220982,c_155]) ).
tcf(c_221101,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_64]) ).
tcf(c_221102,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_62]) ).
tcf(c_221103,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_66]) ).
tcf(c_221111,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_64]) ).
tcf(c_221112,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_62]) ).
tcf(c_221113,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_66]) ).
tcf(c_221114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195779,c_141]) ).
tcf(c_221116,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195779,c_141]) ).
tcf(c_221117,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_145]) ).
tcf(c_221118,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_195779,c_139]) ).
tcf(c_221119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_195779,c_139]) ).
tcf(c_221120,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_195779,c_146]) ).
tcf(c_221121,plain,
! [X0: $i] :
( ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221117,c_156,c_155]) ).
tcf(c_221126,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221120,c_155]) ).
tcf(c_221132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221119,c_156,c_155]) ).
tcf(c_221138,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221118,c_156,c_155]) ).
tcf(c_221144,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221116,c_155]) ).
tcf(c_221151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221114,c_155]) ).
tcf(c_221158,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221113,c_155]) ).
tcf(c_221167,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221112,c_155]) ).
tcf(c_221176,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221103,c_155]) ).
tcf(c_221185,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221111,c_155]) ).
tcf(c_221194,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221102,c_155]) ).
tcf(c_221203,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221101,c_155]) ).
tcf(c_221212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_64]) ).
tcf(c_221213,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_62]) ).
tcf(c_221214,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_66]) ).
tcf(c_221222,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_64]) ).
tcf(c_221223,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_62]) ).
tcf(c_221224,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_66]) ).
tcf(c_221225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),xr)
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_195798,c_141]) ).
tcf(c_221227,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,xr)))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_195798,c_141]) ).
tcf(c_221228,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_145]) ).
tcf(c_221229,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(sdtsldt0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_195798,c_139]) ).
tcf(c_221230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_195798,c_139]) ).
tcf(c_221231,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_195798,c_146]) ).
tcf(c_221232,plain,
! [X0: $i] :
( ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221228,c_99,c_95]) ).
tcf(c_221237,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221231,c_95]) ).
tcf(c_221243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221230,c_99,c_95]) ).
tcf(c_221249,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(sdtsldt0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221229,c_99,c_95]) ).
tcf(c_221255,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,xr)))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221227,c_95]) ).
tcf(c_221262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),xr)
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221225,c_95]) ).
tcf(c_221269,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221224,c_95]) ).
tcf(c_221278,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221223,c_95]) ).
tcf(c_221287,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221214,c_95]) ).
tcf(c_221296,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221222,c_95]) ).
tcf(c_221305,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221213,c_95]) ).
tcf(c_221314,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xr,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221212,c_95]) ).
tcf(c_221353,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_64]) ).
tcf(c_221354,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sdtsldt0(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_62]) ).
tcf(c_221355,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sdtsldt0(xk,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_66]) ).
tcf(c_221363,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_64]) ).
tcf(c_221364,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_62]) ).
tcf(c_221365,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_66]) ).
tcf(c_221366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,xk)),xk)
| ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtsldt0(xk,xk)) ),
inference(superposition,[status(thm)],[c_195799,c_141]) ).
tcf(c_221368,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,xk)))
| ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk)) ),
inference(superposition,[status(thm)],[c_195799,c_141]) ).
tcf(c_221369,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_145]) ).
tcf(c_221370,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ sdtlseqdt0(sdtsldt0(xk,xk),X0) ),
inference(superposition,[status(thm)],[c_195799,c_139]) ).
tcf(c_221371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sz00 = xk )
| ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,xk)) ),
inference(superposition,[status(thm)],[c_195799,c_139]) ).
tcf(c_221372,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ( sdtasdt0(X0,sdtsldt0(xk,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_195799,c_146]) ).
tcf(c_221373,plain,
! [X0: $i] :
( ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221369,c_93,c_88]) ).
tcf(c_221378,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ( sdtasdt0(X0,sdtsldt0(xk,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221372,c_88]) ).
tcf(c_221384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221371,c_93,c_88]) ).
tcf(c_221390,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sdtsldt0(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ sdtlseqdt0(sdtsldt0(xk,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221370,c_93,c_88]) ).
tcf(c_221396,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,xk)))
| ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221368,c_88]) ).
tcf(c_221403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,xk)),xk)
| ( X0 = xk )
| ( sdtsldt0(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtsldt0(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221366,c_88]) ).
tcf(c_221410,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221365,c_88]) ).
tcf(c_221419,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221364,c_88]) ).
tcf(c_221428,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sdtsldt0(xk,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221355,c_88]) ).
tcf(c_221437,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221363,c_88]) ).
tcf(c_221446,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sdtsldt0(xk,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221354,c_88]) ).
tcf(c_221455,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(xk,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221353,c_88]) ).
tcf(c_221513,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_64]) ).
tcf(c_221514,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_62]) ).
tcf(c_221515,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_66]) ).
tcf(c_221523,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_64]) ).
tcf(c_221524,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_62]) ).
tcf(c_221525,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_66]) ).
tcf(c_221526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),xp)
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_195809,c_141]) ).
tcf(c_221528,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,xp)))
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_195809,c_141]) ).
tcf(c_221529,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_145]) ).
tcf(c_221530,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtsldt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_195809,c_139]) ).
tcf(c_221531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_195809,c_139]) ).
tcf(c_221532,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_195809,c_146]) ).
tcf(c_221533,plain,
! [X0: $i] :
( ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221529,c_68,c_51]) ).
tcf(c_221538,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221532,c_51]) ).
tcf(c_221544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221531,c_68,c_51]) ).
tcf(c_221550,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtsldt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221530,c_68,c_51]) ).
tcf(c_221556,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,xp)))
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221528,c_51]) ).
tcf(c_221563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),xp)
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221526,c_51]) ).
tcf(c_221570,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221525,c_51]) ).
tcf(c_221579,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221524,c_51]) ).
tcf(c_221588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221515,c_51]) ).
tcf(c_221597,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221523,c_51]) ).
tcf(c_221606,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sdtsldt0(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221514,c_51]) ).
tcf(c_221615,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xp,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221513,c_51]) ).
tcf(c_221737,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK8,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_64]) ).
tcf(c_221738,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK8,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_62]) ).
tcf(c_221739,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK8,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_66]) ).
tcf(c_221742,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sz00 != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_142]) ).
tcf(c_221747,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_64]) ).
tcf(c_221748,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_62]) ).
tcf(c_221749,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_66]) ).
tcf(c_221750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK8,sz10)),sK8)
| ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(superposition,[status(thm)],[c_195814,c_141]) ).
tcf(c_221751,plain,
( sdtlseqdt0(sz10,sK8)
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(superposition,[status(thm)],[c_195814,c_137]) ).
tcf(c_221752,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sdtsldt0(sK8,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(superposition,[status(thm)],[c_195814,c_141]) ).
tcf(c_221753,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_145]) ).
tcf(c_221754,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK8,sz10),X0) ),
inference(superposition,[status(thm)],[c_195814,c_139]) ).
tcf(c_221755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( sz00 = sz10 )
| ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK8,sz10)) ),
inference(superposition,[status(thm)],[c_195814,c_139]) ).
tcf(c_221756,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK8,sz10)) != sK8 ) ),
inference(superposition,[status(thm)],[c_195814,c_146]) ).
tcf(c_221757,plain,
( sdtlseqdt0(sz10,sK8)
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221751,c_155]) ).
tcf(c_221761,plain,
( ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sz00 != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221742,c_156,c_155]) ).
tcf(c_221765,plain,
! [X0: $i] :
( ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sdtasdt0(sz10,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221753,c_156,c_155]) ).
tcf(c_221770,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK8,sz10)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221756,c_155]) ).
tcf(c_221776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8)
| ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK8,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221755,c_156,c_155]) ).
tcf(c_221782,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK8,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK8,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221754,c_156,c_155]) ).
tcf(c_221788,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sdtsldt0(sK8,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221752,c_155]) ).
tcf(c_221795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK8,sz10)),sK8)
| ( X0 = sz10 )
| ( sdtsldt0(sK8,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221750,c_155]) ).
tcf(c_221802,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221749,c_155]) ).
tcf(c_221811,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221748,c_155]) ).
tcf(c_221820,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK8,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221739,c_155]) ).
tcf(c_221829,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221747,c_155]) ).
tcf(c_221838,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK8,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221738,c_155]) ).
tcf(c_221847,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK8,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK8,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221737,c_155]) ).
tcf(c_221896,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xp,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_64]) ).
tcf(c_221897,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xp,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_62]) ).
tcf(c_221898,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xp,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_66]) ).
tcf(c_221906,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_64]) ).
tcf(c_221907,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_62]) ).
tcf(c_221908,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_66]) ).
tcf(c_221909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_195815,c_141]) ).
tcf(c_221911,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_195815,c_141]) ).
tcf(c_221912,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_145]) ).
tcf(c_221913,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_195815,c_139]) ).
tcf(c_221914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_195815,c_139]) ).
tcf(c_221915,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(superposition,[status(thm)],[c_195815,c_146]) ).
tcf(c_221916,plain,
! [X0: $i] :
( ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221912,c_156,c_155]) ).
tcf(c_221921,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221915,c_155]) ).
tcf(c_221927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221914,c_156,c_155]) ).
tcf(c_221933,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221913,c_156,c_155]) ).
tcf(c_221939,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221911,c_155]) ).
tcf(c_221946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221909,c_155]) ).
tcf(c_221953,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221908,c_155]) ).
tcf(c_221962,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221907,c_155]) ).
tcf(c_221971,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xp,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221898,c_155]) ).
tcf(c_221980,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221906,c_155]) ).
tcf(c_221989,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xp,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221897,c_155]) ).
tcf(c_221998,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xp,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xp,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221896,c_155]) ).
tcf(c_222007,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xm,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_64]) ).
tcf(c_222008,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xm,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_62]) ).
tcf(c_222009,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xm,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_66]) ).
tcf(c_222012,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_195816,c_142]) ).
tcf(c_222017,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_64]) ).
tcf(c_222018,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_62]) ).
tcf(c_222019,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_66]) ).
tcf(c_222020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_195816,c_141]) ).
tcf(c_222021,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_195816,c_137]) ).
tcf(c_222022,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_195816,c_141]) ).
tcf(c_222023,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_145]) ).
tcf(c_222024,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(superposition,[status(thm)],[c_195816,c_139]) ).
tcf(c_222025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_195816,c_139]) ).
tcf(c_222026,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(superposition,[status(thm)],[c_195816,c_146]) ).
tcf(c_222027,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222021,c_155]) ).
tcf(c_222031,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222012,c_156,c_155]) ).
tcf(c_222035,plain,
! [X0: $i] :
( ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222023,c_156,c_155]) ).
tcf(c_222040,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222026,c_155]) ).
tcf(c_222046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222025,c_156,c_155]) ).
tcf(c_222052,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222024,c_156,c_155]) ).
tcf(c_222058,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222022,c_155]) ).
tcf(c_222065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222020,c_155]) ).
tcf(c_222072,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222019,c_155]) ).
tcf(c_222081,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222018,c_155]) ).
tcf(c_222090,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xm,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222009,c_155]) ).
tcf(c_222099,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222017,c_155]) ).
tcf(c_222108,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xm,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222008,c_155]) ).
tcf(c_222117,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xm,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xm,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222007,c_155]) ).
tcf(c_222131,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_64]) ).
tcf(c_222132,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_62]) ).
tcf(c_222133,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_66]) ).
tcf(c_222141,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_64]) ).
tcf(c_222142,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_62]) ).
tcf(c_222143,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_66]) ).
tcf(c_222144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_195817,c_141]) ).
tcf(c_222146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_195817,c_141]) ).
tcf(c_222147,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_145]) ).
tcf(c_222148,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_195817,c_139]) ).
tcf(c_222149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_195817,c_139]) ).
tcf(c_222150,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(superposition,[status(thm)],[c_195817,c_146]) ).
tcf(c_222151,plain,
! [X0: $i] :
( ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222147,c_156,c_155]) ).
tcf(c_222156,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222150,c_155]) ).
tcf(c_222162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222149,c_156,c_155]) ).
tcf(c_222168,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222148,c_156,c_155]) ).
tcf(c_222174,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222146,c_155]) ).
tcf(c_222181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222144,c_155]) ).
tcf(c_222188,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222143,c_155]) ).
tcf(c_222197,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222142,c_155]) ).
tcf(c_222206,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222133,c_155]) ).
tcf(c_222215,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222141,c_155]) ).
tcf(c_222224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222132,c_155]) ).
tcf(c_222233,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222131,c_155]) ).
tcf(c_222271,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_64]) ).
tcf(c_222272,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(sz00,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_62]) ).
tcf(c_222273,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(sz00,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_66]) ).
tcf(c_222276,plain,
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_195836,c_142]) ).
tcf(c_222281,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_64]) ).
tcf(c_222282,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_62]) ).
tcf(c_222283,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_66]) ).
tcf(c_222284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_195836,c_141]) ).
tcf(c_222285,plain,
( sdtlseqdt0(xr,sz00)
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_195836,c_137]) ).
tcf(c_222286,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_195836,c_141]) ).
tcf(c_222287,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_145]) ).
tcf(c_222288,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_195836,c_139]) ).
tcf(c_222289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_195836,c_139]) ).
tcf(c_222290,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195836,c_146]) ).
tcf(c_222291,plain,
( ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222285,c_193017,c_95]) ).
tcf(c_222295,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222287,c_99,c_95]) ).
tcf(c_222300,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222290,c_95]) ).
tcf(c_222306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222289,c_99,c_95]) ).
tcf(c_222312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222288,c_99,c_95]) ).
tcf(c_222318,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222286,c_95]) ).
tcf(c_222325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222284,c_95]) ).
tcf(c_222332,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222283,c_95]) ).
tcf(c_222341,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222282,c_95]) ).
tcf(c_222350,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(sz00,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222273,c_95]) ).
tcf(c_222359,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222281,c_95]) ).
tcf(c_222368,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(sz00,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222272,c_95]) ).
tcf(c_222377,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sz00,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222271,c_95]) ).
tcf(c_222422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_64]) ).
tcf(c_222423,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sdtsldt0(sz00,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_62]) ).
tcf(c_222424,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sdtsldt0(sz00,xk),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_66]) ).
tcf(c_222427,plain,
( ( sz00 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(superposition,[status(thm)],[c_195837,c_142]) ).
tcf(c_222432,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_64]) ).
tcf(c_222433,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_62]) ).
tcf(c_222434,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_66]) ).
tcf(c_222435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xk)),sz00)
| ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(superposition,[status(thm)],[c_195837,c_141]) ).
tcf(c_222436,plain,
( sdtlseqdt0(xk,sz00)
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(superposition,[status(thm)],[c_195837,c_137]) ).
tcf(c_222437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xk)))
| ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(superposition,[status(thm)],[c_195837,c_141]) ).
tcf(c_222438,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_145]) ).
tcf(c_222439,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sz00 = xk )
| ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ sdtlseqdt0(sdtsldt0(sz00,xk),X0) ),
inference(superposition,[status(thm)],[c_195837,c_139]) ).
tcf(c_222440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sz00 = xk )
| ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xk)) ),
inference(superposition,[status(thm)],[c_195837,c_139]) ).
tcf(c_222441,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ( sdtasdt0(X0,sdtsldt0(sz00,xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195837,c_146]) ).
tcf(c_222442,plain,
( ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222436,c_193018,c_88]) ).
tcf(c_222446,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222438,c_93,c_88]) ).
tcf(c_222451,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ( sdtasdt0(X0,sdtsldt0(sz00,xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222441,c_88]) ).
tcf(c_222457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222440,c_93,c_88]) ).
tcf(c_222463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sdtsldt0(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ sdtlseqdt0(sdtsldt0(sz00,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222439,c_93,c_88]) ).
tcf(c_222469,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xk)))
| ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222437,c_88]) ).
tcf(c_222476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xk)),sz00)
| ( X0 = xk )
| ( sdtsldt0(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222435,c_88]) ).
tcf(c_222483,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| doDivides0(xk,X0)
| sP1(X1,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222434,c_88]) ).
tcf(c_222492,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| aNaturalNumber0(sK7(X0,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222433,c_88]) ).
tcf(c_222501,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(sdtsldt0(sz00,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222424,c_88]) ).
tcf(c_222510,plain,
! [X0: $i,X1: $i] :
( sP0(xk)
| sP1(X1,xk)
| ( sdtasdt0(xk,sK7(X0,xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xk),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222432,c_88]) ).
tcf(c_222519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xk,X0))
| sP1(sdtsldt0(sz00,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222423,c_88]) ).
tcf(c_222528,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xk),X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xk,sdtsldt0(sz00,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222422,c_88]) ).
tcf(c_222588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_64]) ).
tcf(c_222589,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sdtsldt0(sz00,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_62]) ).
tcf(c_222590,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtsldt0(sz00,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_66]) ).
tcf(c_222593,plain,
( ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_195842,c_142]) ).
tcf(c_222598,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_64]) ).
tcf(c_222599,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_62]) ).
tcf(c_222600,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_66]) ).
tcf(c_222601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_195842,c_141]) ).
tcf(c_222602,plain,
( sdtlseqdt0(xp,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_195842,c_137]) ).
tcf(c_222603,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_195842,c_141]) ).
tcf(c_222604,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_145]) ).
tcf(c_222605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_195842,c_139]) ).
tcf(c_222606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_195842,c_139]) ).
tcf(c_222607,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195842,c_146]) ).
tcf(c_222608,plain,
( ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222602,c_193019,c_51]) ).
tcf(c_222612,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222604,c_68,c_51]) ).
tcf(c_222617,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222607,c_51]) ).
tcf(c_222623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222606,c_68,c_51]) ).
tcf(c_222629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222605,c_68,c_51]) ).
tcf(c_222635,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222603,c_51]) ).
tcf(c_222642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222601,c_51]) ).
tcf(c_222649,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222600,c_51]) ).
tcf(c_222658,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222599,c_51]) ).
tcf(c_222667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtsldt0(sz00,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222590,c_51]) ).
tcf(c_222676,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222598,c_51]) ).
tcf(c_222685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sdtsldt0(sz00,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222589,c_51]) ).
tcf(c_222694,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xp),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sdtsldt0(sz00,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222588,c_51]) ).
tcf(c_222713,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_64]) ).
tcf(c_222714,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_62]) ).
tcf(c_222715,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_66]) ).
tcf(c_222720,plain,
( ( sz10 = xr )
| ( xp = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xp ) ),
inference(superposition,[status(thm)],[c_192843,c_70]) ).
tcf(c_222723,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_64]) ).
tcf(c_222724,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_62]) ).
tcf(c_222725,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_66]) ).
tcf(c_222726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192843,c_141]) ).
tcf(c_222727,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192843,c_137]) ).
tcf(c_222728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))))
| ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192843,c_141]) ).
tcf(c_222729,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_145]) ).
tcf(c_222730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(xr,sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_192843,c_139]) ).
tcf(c_222731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( sz00 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(xr,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192843,c_139]) ).
tcf(c_222732,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192843,c_146]) ).
tcf(c_222733,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222727,c_95]) ).
tcf(c_222737,plain,
( ( xp = xr )
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222720,c_100,c_95]) ).
tcf(c_222741,plain,
! [X0: $i] :
( ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222729,c_99,c_95]) ).
tcf(c_222746,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222732,c_95]) ).
tcf(c_222752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(xr,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222731,c_99,c_95]) ).
tcf(c_222758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( sK20(xr,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(xr,sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222730,c_99,c_95]) ).
tcf(c_222764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))))
| ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222728,c_95]) ).
tcf(c_222771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xr,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xr )
| ( sK20(xr,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222726,c_95]) ).
tcf(c_222778,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222725,c_95]) ).
tcf(c_222787,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222724,c_95]) ).
tcf(c_222796,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222723,c_95]) ).
tcf(c_222805,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222715,c_95]) ).
tcf(c_222814,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222714,c_95]) ).
tcf(c_222823,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xr,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xr,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK20(xr,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222713,c_95]) ).
tcf(c_222843,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_64]) ).
tcf(c_222844,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sz00,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_62]) ).
tcf(c_222845,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sz00,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_66]) ).
tcf(c_222848,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_195852,c_142]) ).
tcf(c_222853,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_64]) ).
tcf(c_222854,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_62]) ).
tcf(c_222855,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_66]) ).
tcf(c_222856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_195852,c_141]) ).
tcf(c_222857,plain,
( sdtlseqdt0(sz10,sz00)
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_195852,c_137]) ).
tcf(c_222858,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_195852,c_141]) ).
tcf(c_222859,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_145]) ).
tcf(c_222860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_195852,c_139]) ).
tcf(c_222861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_195852,c_139]) ).
tcf(c_222862,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195852,c_146]) ).
tcf(c_222863,plain,
( ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222857,c_193016,c_155]) ).
tcf(c_222867,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222859,c_156,c_155]) ).
tcf(c_222872,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222862,c_155]) ).
tcf(c_222878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222861,c_156,c_155]) ).
tcf(c_222884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222860,c_156,c_155]) ).
tcf(c_222890,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222858,c_155]) ).
tcf(c_222897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222856,c_155]) ).
tcf(c_222904,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222855,c_155]) ).
tcf(c_222913,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222854,c_155]) ).
tcf(c_222922,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sz00,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222845,c_155]) ).
tcf(c_222931,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222853,c_155]) ).
tcf(c_222940,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sz00,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222844,c_155]) ).
tcf(c_222949,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sz00,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222843,c_155]) ).
tcf(c_223228,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_64]) ).
tcf(c_223229,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xk,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_62]) ).
tcf(c_223230,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xk,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_66]) ).
tcf(c_223238,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_64]) ).
tcf(c_223239,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_62]) ).
tcf(c_223240,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_66]) ).
tcf(c_223241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,xr)),xk)
| ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(superposition,[status(thm)],[c_195853,c_141]) ).
tcf(c_223243,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,xr)))
| ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(superposition,[status(thm)],[c_195853,c_141]) ).
tcf(c_223244,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ( sdtasdt0(xr,X0) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_145]) ).
tcf(c_223245,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ sdtlseqdt0(sdtsldt0(xk,xr),X0) ),
inference(superposition,[status(thm)],[c_195853,c_139]) ).
tcf(c_223246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( sz00 = xr )
| ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,xr)) ),
inference(superposition,[status(thm)],[c_195853,c_139]) ).
tcf(c_223247,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ( sdtasdt0(X0,sdtsldt0(xk,xr)) != xk ) ),
inference(superposition,[status(thm)],[c_195853,c_146]) ).
tcf(c_223248,plain,
! [X0: $i] :
( ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ( sdtasdt0(xr,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223244,c_99,c_95]) ).
tcf(c_223253,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ( sdtasdt0(X0,sdtsldt0(xk,xr)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223247,c_95]) ).
tcf(c_223259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xk)
| ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223246,c_99,c_95]) ).
tcf(c_223265,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xr,X0))
| ( sdtsldt0(xk,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ sdtlseqdt0(sdtsldt0(xk,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223245,c_99,c_95]) ).
tcf(c_223271,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,xr)))
| ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223243,c_95]) ).
tcf(c_223278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,xr)),xk)
| ( X0 = xr )
| ( sdtsldt0(xk,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223241,c_95]) ).
tcf(c_223285,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223240,c_95]) ).
tcf(c_223294,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223239,c_95]) ).
tcf(c_223303,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(xk,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223230,c_95]) ).
tcf(c_223312,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223238,c_95]) ).
tcf(c_223321,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(xk,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223229,c_95]) ).
tcf(c_223330,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(xk,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223228,c_95]) ).
tcf(c_223339,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK9),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_64]) ).
tcf(c_223340,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK9),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_62]) ).
tcf(c_223341,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK9),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_66]) ).
tcf(c_223344,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sz00 != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_142]) ).
tcf(c_223349,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_64]) ).
tcf(c_223350,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_62]) ).
tcf(c_223351,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_66]) ).
tcf(c_223352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK9)),sK9)
| ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(superposition,[status(thm)],[c_196379,c_141]) ).
tcf(c_223353,plain,
( sdtlseqdt0(sz10,sK9)
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(superposition,[status(thm)],[c_196379,c_137]) ).
tcf(c_223354,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK20(sz10,sK9)))
| ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(superposition,[status(thm)],[c_196379,c_141]) ).
tcf(c_223355,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_145]) ).
tcf(c_223356,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ sdtlseqdt0(sK20(sz10,sK9),X0) ),
inference(superposition,[status(thm)],[c_196379,c_139]) ).
tcf(c_223357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( sz00 = sz10 )
| ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ sdtlseqdt0(X0,sK20(sz10,sK9)) ),
inference(superposition,[status(thm)],[c_196379,c_139]) ).
tcf(c_223358,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sdtasdt0(X0,sK20(sz10,sK9)) != sK9 ) ),
inference(superposition,[status(thm)],[c_196379,c_146]) ).
tcf(c_223359,plain,
( sdtlseqdt0(sz10,sK9)
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223353,c_155]) ).
tcf(c_223363,plain,
( ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sz00 != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223344,c_156,c_155]) ).
tcf(c_223367,plain,
! [X0: $i] :
( ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223355,c_156,c_155]) ).
tcf(c_223372,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ( sdtasdt0(X0,sK20(sz10,sK9)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223358,c_155]) ).
tcf(c_223378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ sdtlseqdt0(X0,sK20(sz10,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223357,c_156,c_155]) ).
tcf(c_223384,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ sdtlseqdt0(sK20(sz10,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223356,c_156,c_155]) ).
tcf(c_223390,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sK20(sz10,sK9)))
| ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223354,c_155]) ).
tcf(c_223397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK9)),sK9)
| ( X0 = sz10 )
| ( sK20(sz10,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223352,c_155]) ).
tcf(c_223404,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223351,c_155]) ).
tcf(c_223413,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223350,c_155]) ).
tcf(c_223422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223341,c_155]) ).
tcf(c_223431,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223349,c_155]) ).
tcf(c_223440,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223340,c_155]) ).
tcf(c_223449,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK9),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223339,c_155]) ).
tcf(c_223487,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK9,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_64]) ).
tcf(c_223488,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK9,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_62]) ).
tcf(c_223489,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK9,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_66]) ).
tcf(c_223492,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sz00 != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_142]) ).
tcf(c_223497,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_64]) ).
tcf(c_223498,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_62]) ).
tcf(c_223499,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_66]) ).
tcf(c_223500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK9,sz10)),sK9)
| ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(superposition,[status(thm)],[c_196384,c_141]) ).
tcf(c_223501,plain,
( sdtlseqdt0(sz10,sK9)
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(superposition,[status(thm)],[c_196384,c_137]) ).
tcf(c_223502,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sdtsldt0(sK9,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(superposition,[status(thm)],[c_196384,c_141]) ).
tcf(c_223503,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_145]) ).
tcf(c_223504,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK9,sz10),X0) ),
inference(superposition,[status(thm)],[c_196384,c_139]) ).
tcf(c_223505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( sz00 = sz10 )
| ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK9,sz10)) ),
inference(superposition,[status(thm)],[c_196384,c_139]) ).
tcf(c_223506,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK9,sz10)) != sK9 ) ),
inference(superposition,[status(thm)],[c_196384,c_146]) ).
tcf(c_223507,plain,
( sdtlseqdt0(sz10,sK9)
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223501,c_155]) ).
tcf(c_223511,plain,
( ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sz00 != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223492,c_156,c_155]) ).
tcf(c_223515,plain,
! [X0: $i] :
( ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sdtasdt0(sz10,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223503,c_156,c_155]) ).
tcf(c_223520,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK9,sz10)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223506,c_155]) ).
tcf(c_223526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9)
| ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK9,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223505,c_156,c_155]) ).
tcf(c_223532,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK9,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK9,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223504,c_156,c_155]) ).
tcf(c_223538,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sdtsldt0(sK9,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223502,c_155]) ).
tcf(c_223545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK9,sz10)),sK9)
| ( X0 = sz10 )
| ( sdtsldt0(sK9,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223500,c_155]) ).
tcf(c_223552,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223499,c_155]) ).
tcf(c_223561,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223498,c_155]) ).
tcf(c_223570,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK9,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223489,c_155]) ).
tcf(c_223579,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223497,c_155]) ).
tcf(c_223588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK9,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223488,c_155]) ).
tcf(c_223597,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK9,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK9,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223487,c_155]) ).
tcf(c_223618,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_64]) ).
tcf(c_223619,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_62]) ).
tcf(c_223620,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_66]) ).
tcf(c_223623,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sz00 != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_142]) ).
tcf(c_223628,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_64]) ).
tcf(c_223629,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_62]) ).
tcf(c_223630,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_66]) ).
tcf(c_223631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK10)),sK10)
| ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(superposition,[status(thm)],[c_196400,c_141]) ).
tcf(c_223632,plain,
( sdtlseqdt0(sz10,sK10)
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(superposition,[status(thm)],[c_196400,c_137]) ).
tcf(c_223633,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK20(sz10,sK10)))
| ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(superposition,[status(thm)],[c_196400,c_141]) ).
tcf(c_223634,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_145]) ).
tcf(c_223635,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ sdtlseqdt0(sK20(sz10,sK10),X0) ),
inference(superposition,[status(thm)],[c_196400,c_139]) ).
tcf(c_223636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( sz00 = sz10 )
| ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ sdtlseqdt0(X0,sK20(sz10,sK10)) ),
inference(superposition,[status(thm)],[c_196400,c_139]) ).
tcf(c_223637,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sdtasdt0(X0,sK20(sz10,sK10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_196400,c_146]) ).
tcf(c_223638,plain,
( sdtlseqdt0(sz10,sK10)
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223632,c_155]) ).
tcf(c_223642,plain,
( ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sz00 != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223623,c_156,c_155]) ).
tcf(c_223646,plain,
! [X0: $i] :
( ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223634,c_156,c_155]) ).
tcf(c_223651,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ( sdtasdt0(X0,sK20(sz10,sK10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223637,c_155]) ).
tcf(c_223657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ sdtlseqdt0(X0,sK20(sz10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223636,c_156,c_155]) ).
tcf(c_223663,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ sdtlseqdt0(sK20(sz10,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223635,c_156,c_155]) ).
tcf(c_223669,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sK20(sz10,sK10)))
| ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223633,c_155]) ).
tcf(c_223676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK10)),sK10)
| ( X0 = sz10 )
| ( sK20(sz10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223631,c_155]) ).
tcf(c_223683,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223630,c_155]) ).
tcf(c_223692,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223629,c_155]) ).
tcf(c_223701,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223620,c_155]) ).
tcf(c_223710,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223628,c_155]) ).
tcf(c_223719,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223619,c_155]) ).
tcf(c_223728,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223618,c_155]) ).
tcf(c_223749,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_64]) ).
tcf(c_223750,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_62]) ).
tcf(c_223751,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_66]) ).
tcf(c_223754,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sz00 != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_142]) ).
tcf(c_223759,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_64]) ).
tcf(c_223760,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_62]) ).
tcf(c_223761,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_66]) ).
tcf(c_223762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK10,sz10)),sK10)
| ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(superposition,[status(thm)],[c_196405,c_141]) ).
tcf(c_223763,plain,
( sdtlseqdt0(sz10,sK10)
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(superposition,[status(thm)],[c_196405,c_137]) ).
tcf(c_223764,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sdtsldt0(sK10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(superposition,[status(thm)],[c_196405,c_141]) ).
tcf(c_223765,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_145]) ).
tcf(c_223766,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK10,sz10),X0) ),
inference(superposition,[status(thm)],[c_196405,c_139]) ).
tcf(c_223767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( sz00 = sz10 )
| ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK10,sz10)) ),
inference(superposition,[status(thm)],[c_196405,c_139]) ).
tcf(c_223768,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK10,sz10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_196405,c_146]) ).
tcf(c_223769,plain,
( sdtlseqdt0(sz10,sK10)
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223763,c_155]) ).
tcf(c_223773,plain,
( ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sz00 != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223754,c_156,c_155]) ).
tcf(c_223777,plain,
! [X0: $i] :
( ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sdtasdt0(sz10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223765,c_156,c_155]) ).
tcf(c_223782,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK10,sz10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223768,c_155]) ).
tcf(c_223788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK10)
| ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223767,c_156,c_155]) ).
tcf(c_223794,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223766,c_156,c_155]) ).
tcf(c_223800,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sdtsldt0(sK10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223764,c_155]) ).
tcf(c_223807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK10,sz10)),sK10)
| ( X0 = sz10 )
| ( sdtsldt0(sK10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223762,c_155]) ).
tcf(c_223814,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223761,c_155]) ).
tcf(c_223823,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223760,c_155]) ).
tcf(c_223832,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223751,c_155]) ).
tcf(c_223841,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223759,c_155]) ).
tcf(c_223850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223750,c_155]) ).
tcf(c_223859,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK10,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223749,c_155]) ).
tcf(c_223947,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_64]) ).
tcf(c_223948,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_62]) ).
tcf(c_223949,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_66]) ).
tcf(c_223957,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_64]) ).
tcf(c_223958,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_62]) ).
tcf(c_223959,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_66]) ).
tcf(c_223960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xk)),xk)
| ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196427,c_141]) ).
tcf(c_223962,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(sz10,xk)))
| ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196427,c_141]) ).
tcf(c_223963,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_145]) ).
tcf(c_223964,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ sdtlseqdt0(sK20(sz10,xk),X0) ),
inference(superposition,[status(thm)],[c_196427,c_139]) ).
tcf(c_223965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sz00 = sz10 )
| ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ sdtlseqdt0(X0,sK20(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196427,c_139]) ).
tcf(c_223966,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ( sdtasdt0(X0,sK20(sz10,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_196427,c_146]) ).
tcf(c_223967,plain,
! [X0: $i] :
( ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223963,c_156,c_155]) ).
tcf(c_223972,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ( sdtasdt0(X0,sK20(sz10,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223966,c_155]) ).
tcf(c_223978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ sdtlseqdt0(X0,sK20(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223965,c_156,c_155]) ).
tcf(c_223984,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sK20(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ sdtlseqdt0(sK20(sz10,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223964,c_156,c_155]) ).
tcf(c_223990,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK20(sz10,xk)))
| ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223962,c_155]) ).
tcf(c_223997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xk)),xk)
| ( X0 = sz10 )
| ( sK20(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223960,c_155]) ).
tcf(c_224004,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223959,c_155]) ).
tcf(c_224013,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223958,c_155]) ).
tcf(c_224022,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223949,c_155]) ).
tcf(c_224031,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223957,c_155]) ).
tcf(c_224040,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223948,c_155]) ).
tcf(c_224049,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223947,c_155]) ).
tcf(c_224058,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_64]) ).
tcf(c_224059,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xk,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_62]) ).
tcf(c_224060,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xk,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_66]) ).
tcf(c_224068,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_64]) ).
tcf(c_224069,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_62]) ).
tcf(c_224070,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_66]) ).
tcf(c_224071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,sz10)),xk)
| ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10)) ),
inference(superposition,[status(thm)],[c_196432,c_141]) ).
tcf(c_224073,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10)) ),
inference(superposition,[status(thm)],[c_196432,c_141]) ).
tcf(c_224074,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_145]) ).
tcf(c_224075,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ sdtlseqdt0(sdtsldt0(xk,sz10),X0) ),
inference(superposition,[status(thm)],[c_196432,c_139]) ).
tcf(c_224076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sz00 = sz10 )
| ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,sz10)) ),
inference(superposition,[status(thm)],[c_196432,c_139]) ).
tcf(c_224077,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ( sdtasdt0(X0,sdtsldt0(xk,sz10)) != xk ) ),
inference(superposition,[status(thm)],[c_196432,c_146]) ).
tcf(c_224078,plain,
! [X0: $i] :
( ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224074,c_156,c_155]) ).
tcf(c_224083,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ( sdtasdt0(X0,sdtsldt0(xk,sz10)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224077,c_155]) ).
tcf(c_224089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xk,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224076,c_156,c_155]) ).
tcf(c_224095,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sdtsldt0(xk,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ sdtlseqdt0(sdtsldt0(xk,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224075,c_156,c_155]) ).
tcf(c_224101,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sdtsldt0(xk,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224073,c_155]) ).
tcf(c_224108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xk,sz10)),xk)
| ( X0 = sz10 )
| ( sdtsldt0(xk,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224071,c_155]) ).
tcf(c_224115,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224070,c_155]) ).
tcf(c_224124,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224069,c_155]) ).
tcf(c_224133,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xk,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224060,c_155]) ).
tcf(c_224142,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224068,c_155]) ).
tcf(c_224151,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xk,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224059,c_155]) ).
tcf(c_224160,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xk,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xk,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xk,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224058,c_155]) ).
tcf(c_224169,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196438,c_65]) ).
tcf(c_224170,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196438,c_63]) ).
tcf(c_224171,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196438,c_67]) ).
tcf(c_224178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xk)),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196438,c_162]) ).
tcf(c_224179,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sK19(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196438,c_158]) ).
tcf(c_224180,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196438,c_157]) ).
tcf(c_224181,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz10,X0))
| ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ sdtlseqdt0(sK19(sz10,xk),X0) ),
inference(superposition,[status(thm)],[c_196438,c_160]) ).
tcf(c_224182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xk)
| ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ sdtlseqdt0(X0,sK19(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196438,c_160]) ).
tcf(c_224183,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ( sdtpldt0(X0,sK19(sz10,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_196438,c_167]) ).
tcf(c_224184,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(sz10,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(superposition,[status(thm)],[c_196438,c_162]) ).
tcf(c_224185,plain,
! [X0: $i] :
( ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ( sdtpldt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_196438,c_166]) ).
tcf(c_224186,plain,
! [X0: $i] :
( ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ( sdtpldt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224185,c_155]) ).
tcf(c_224191,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ( sdtpldt0(X0,sK19(sz10,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224183,c_155]) ).
tcf(c_224196,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224180,c_155]) ).
tcf(c_224202,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sK19(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224179,c_155]) ).
tcf(c_224208,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK19(sz10,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224184,c_155]) ).
tcf(c_224214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xk)),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224178,c_155]) ).
tcf(c_224220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xk)
| ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ sdtlseqdt0(X0,sK19(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224182,c_155]) ).
tcf(c_224226,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz10,X0))
| ( sK19(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ sdtlseqdt0(sK19(sz10,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224181,c_155]) ).
tcf(c_224232,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224171,c_155]) ).
tcf(c_224240,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224170,c_155]) ).
tcf(c_224248,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xk))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xk)))
| ~ iLess0(sdtpldt0(xk,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224169,c_155]) ).
tcf(c_224256,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_64]) ).
tcf(c_224257,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_62]) ).
tcf(c_224258,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_66]) ).
tcf(c_224266,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_64]) ).
tcf(c_224267,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_62]) ).
tcf(c_224268,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_66]) ).
tcf(c_224269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196460,c_141]) ).
tcf(c_224271,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK20(sz10,xr)))
| ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196460,c_141]) ).
tcf(c_224272,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_145]) ).
tcf(c_224273,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ sdtlseqdt0(sK20(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_196460,c_139]) ).
tcf(c_224274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ sdtlseqdt0(X0,sK20(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196460,c_139]) ).
tcf(c_224275,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ( sdtasdt0(X0,sK20(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_196460,c_146]) ).
tcf(c_224276,plain,
! [X0: $i] :
( ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224272,c_156,c_155]) ).
tcf(c_224281,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ( sdtasdt0(X0,sK20(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224275,c_155]) ).
tcf(c_224287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ sdtlseqdt0(X0,sK20(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224274,c_156,c_155]) ).
tcf(c_224293,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sK20(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ sdtlseqdt0(sK20(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224273,c_156,c_155]) ).
tcf(c_224299,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK20(sz10,xr)))
| ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224271,c_155]) ).
tcf(c_224306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK20(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224269,c_155]) ).
tcf(c_224313,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224268,c_155]) ).
tcf(c_224322,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224267,c_155]) ).
tcf(c_224331,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224258,c_155]) ).
tcf(c_224340,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224266,c_155]) ).
tcf(c_224349,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224257,c_155]) ).
tcf(c_224358,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224256,c_155]) ).
tcf(c_224367,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xr,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_64]) ).
tcf(c_224368,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xr,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_62]) ).
tcf(c_224369,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xr,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_66]) ).
tcf(c_224377,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_64]) ).
tcf(c_224378,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_62]) ).
tcf(c_224379,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_66]) ).
tcf(c_224380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_196465,c_141]) ).
tcf(c_224382,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_196465,c_141]) ).
tcf(c_224383,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_145]) ).
tcf(c_224384,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(superposition,[status(thm)],[c_196465,c_139]) ).
tcf(c_224385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_196465,c_139]) ).
tcf(c_224386,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(superposition,[status(thm)],[c_196465,c_146]) ).
tcf(c_224387,plain,
! [X0: $i] :
( ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224383,c_156,c_155]) ).
tcf(c_224392,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224386,c_155]) ).
tcf(c_224398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224385,c_156,c_155]) ).
tcf(c_224404,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224384,c_156,c_155]) ).
tcf(c_224410,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224382,c_155]) ).
tcf(c_224417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224380,c_155]) ).
tcf(c_224424,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224379,c_155]) ).
tcf(c_224433,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224378,c_155]) ).
tcf(c_224442,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(xr,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224369,c_155]) ).
tcf(c_224451,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224377,c_155]) ).
tcf(c_224460,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(xr,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224368,c_155]) ).
tcf(c_224469,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xr,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(xr,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224367,c_155]) ).
tcf(c_224535,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196520,c_65]) ).
tcf(c_224536,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196520,c_63]) ).
tcf(c_224537,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_196520,c_67]) ).
tcf(c_224544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196520,c_162]) ).
tcf(c_224545,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sK19(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196520,c_158]) ).
tcf(c_224546,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196520,c_157]) ).
tcf(c_224547,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ sdtlseqdt0(sK19(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_196520,c_160]) ).
tcf(c_224548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ sdtlseqdt0(X0,sK19(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196520,c_160]) ).
tcf(c_224549,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ( sdtpldt0(X0,sK19(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_196520,c_167]) ).
tcf(c_224550,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(superposition,[status(thm)],[c_196520,c_162]) ).
tcf(c_224551,plain,
! [X0: $i] :
( ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_196520,c_166]) ).
tcf(c_224552,plain,
! [X0: $i] :
( ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224551,c_155]) ).
tcf(c_224557,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ( sdtpldt0(X0,sK19(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224549,c_155]) ).
tcf(c_224562,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224546,c_155]) ).
tcf(c_224568,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sK19(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224545,c_155]) ).
tcf(c_224574,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK19(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224550,c_155]) ).
tcf(c_224580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224544,c_155]) ).
tcf(c_224586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ sdtlseqdt0(X0,sK19(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224548,c_155]) ).
tcf(c_224592,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK19(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ sdtlseqdt0(sK19(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224547,c_155]) ).
tcf(c_224598,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224537,c_155]) ).
tcf(c_224606,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224536,c_155]) ).
tcf(c_224614,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224535,c_155]) ).
tcf(c_224622,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_64]) ).
tcf(c_224623,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_62]) ).
tcf(c_224624,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_66]) ).
tcf(c_224627,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sz00 != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_142]) ).
tcf(c_224632,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_64]) ).
tcf(c_224633,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_62]) ).
tcf(c_224634,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_66]) ).
tcf(c_224635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK11)),sK11)
| ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(superposition,[status(thm)],[c_199083,c_141]) ).
tcf(c_224636,plain,
( sdtlseqdt0(sz10,sK11)
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(superposition,[status(thm)],[c_199083,c_137]) ).
tcf(c_224637,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK20(sz10,sK11)))
| ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(superposition,[status(thm)],[c_199083,c_141]) ).
tcf(c_224638,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_145]) ).
tcf(c_224639,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ sdtlseqdt0(sK20(sz10,sK11),X0) ),
inference(superposition,[status(thm)],[c_199083,c_139]) ).
tcf(c_224640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( sz00 = sz10 )
| ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ sdtlseqdt0(X0,sK20(sz10,sK11)) ),
inference(superposition,[status(thm)],[c_199083,c_139]) ).
tcf(c_224641,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sdtasdt0(X0,sK20(sz10,sK11)) != sK11 ) ),
inference(superposition,[status(thm)],[c_199083,c_146]) ).
tcf(c_224642,plain,
( sdtlseqdt0(sz10,sK11)
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224636,c_155]) ).
tcf(c_224646,plain,
( ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sz00 != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224627,c_156,c_155]) ).
tcf(c_224650,plain,
! [X0: $i] :
( ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224638,c_156,c_155]) ).
tcf(c_224655,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ( sdtasdt0(X0,sK20(sz10,sK11)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224641,c_155]) ).
tcf(c_224661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ sdtlseqdt0(X0,sK20(sz10,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224640,c_156,c_155]) ).
tcf(c_224667,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ sdtlseqdt0(sK20(sz10,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224639,c_156,c_155]) ).
tcf(c_224673,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sK20(sz10,sK11)))
| ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224637,c_155]) ).
tcf(c_224680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK11)),sK11)
| ( X0 = sz10 )
| ( sK20(sz10,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224635,c_155]) ).
tcf(c_224687,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224634,c_155]) ).
tcf(c_224696,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224633,c_155]) ).
tcf(c_224705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224624,c_155]) ).
tcf(c_224714,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224632,c_155]) ).
tcf(c_224723,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224623,c_155]) ).
tcf(c_224732,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224622,c_155]) ).
tcf(c_224741,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK11,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_64]) ).
tcf(c_224742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK11,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_62]) ).
tcf(c_224743,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK11,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_66]) ).
tcf(c_224746,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sz00 != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_142]) ).
tcf(c_224751,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_64]) ).
tcf(c_224752,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_62]) ).
tcf(c_224753,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_66]) ).
tcf(c_224754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK11,sz10)),sK11)
| ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(superposition,[status(thm)],[c_199088,c_141]) ).
tcf(c_224755,plain,
( sdtlseqdt0(sz10,sK11)
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(superposition,[status(thm)],[c_199088,c_137]) ).
tcf(c_224756,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sdtsldt0(sK11,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(superposition,[status(thm)],[c_199088,c_141]) ).
tcf(c_224757,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_145]) ).
tcf(c_224758,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK11,sz10),X0) ),
inference(superposition,[status(thm)],[c_199088,c_139]) ).
tcf(c_224759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( sz00 = sz10 )
| ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK11,sz10)) ),
inference(superposition,[status(thm)],[c_199088,c_139]) ).
tcf(c_224760,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK11,sz10)) != sK11 ) ),
inference(superposition,[status(thm)],[c_199088,c_146]) ).
tcf(c_224761,plain,
( sdtlseqdt0(sz10,sK11)
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224755,c_155]) ).
tcf(c_224765,plain,
( ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sz00 != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224746,c_156,c_155]) ).
tcf(c_224769,plain,
! [X0: $i] :
( ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sdtasdt0(sz10,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224757,c_156,c_155]) ).
tcf(c_224774,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK11,sz10)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224760,c_155]) ).
tcf(c_224780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK11)
| ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK11,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224759,c_156,c_155]) ).
tcf(c_224786,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK11,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK11,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224758,c_156,c_155]) ).
tcf(c_224792,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sdtsldt0(sK11,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224756,c_155]) ).
tcf(c_224799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK11,sz10)),sK11)
| ( X0 = sz10 )
| ( sdtsldt0(sK11,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224754,c_155]) ).
tcf(c_224806,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224753,c_155]) ).
tcf(c_224815,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224752,c_155]) ).
tcf(c_224824,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK11,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224743,c_155]) ).
tcf(c_224833,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224751,c_155]) ).
tcf(c_224842,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK11,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224742,c_155]) ).
tcf(c_224851,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK11,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK11,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224741,c_155]) ).
tcf(c_225118,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_64]) ).
tcf(c_225119,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_62]) ).
tcf(c_225120,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_66]) ).
tcf(c_225123,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sz00 != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_142]) ).
tcf(c_225128,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_64]) ).
tcf(c_225129,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_62]) ).
tcf(c_225130,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_66]) ).
tcf(c_225131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK12)),sK12)
| ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(superposition,[status(thm)],[c_199124,c_141]) ).
tcf(c_225132,plain,
( sdtlseqdt0(sz10,sK12)
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(superposition,[status(thm)],[c_199124,c_137]) ).
tcf(c_225133,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK20(sz10,sK12)))
| ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(superposition,[status(thm)],[c_199124,c_141]) ).
tcf(c_225134,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_145]) ).
tcf(c_225135,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ sdtlseqdt0(sK20(sz10,sK12),X0) ),
inference(superposition,[status(thm)],[c_199124,c_139]) ).
tcf(c_225136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( sz00 = sz10 )
| ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ sdtlseqdt0(X0,sK20(sz10,sK12)) ),
inference(superposition,[status(thm)],[c_199124,c_139]) ).
tcf(c_225137,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sdtasdt0(X0,sK20(sz10,sK12)) != sK12 ) ),
inference(superposition,[status(thm)],[c_199124,c_146]) ).
tcf(c_225138,plain,
( sdtlseqdt0(sz10,sK12)
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225132,c_155]) ).
tcf(c_225142,plain,
( ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sz00 != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225123,c_156,c_155]) ).
tcf(c_225146,plain,
! [X0: $i] :
( ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225134,c_156,c_155]) ).
tcf(c_225151,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ( sdtasdt0(X0,sK20(sz10,sK12)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225137,c_155]) ).
tcf(c_225157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ sdtlseqdt0(X0,sK20(sz10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225136,c_156,c_155]) ).
tcf(c_225163,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ sdtlseqdt0(sK20(sz10,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225135,c_156,c_155]) ).
tcf(c_225169,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sK20(sz10,sK12)))
| ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225133,c_155]) ).
tcf(c_225176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK12)),sK12)
| ( X0 = sz10 )
| ( sK20(sz10,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225131,c_155]) ).
tcf(c_225183,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225130,c_155]) ).
tcf(c_225192,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225129,c_155]) ).
tcf(c_225201,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225120,c_155]) ).
tcf(c_225210,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225128,c_155]) ).
tcf(c_225219,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225119,c_155]) ).
tcf(c_225228,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225118,c_155]) ).
tcf(c_225237,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK12,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_64]) ).
tcf(c_225238,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK12,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_62]) ).
tcf(c_225239,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK12,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_66]) ).
tcf(c_225242,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sz00 != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_142]) ).
tcf(c_225247,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_64]) ).
tcf(c_225248,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_62]) ).
tcf(c_225249,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_66]) ).
tcf(c_225250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK12,sz10)),sK12)
| ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(superposition,[status(thm)],[c_199129,c_141]) ).
tcf(c_225251,plain,
( sdtlseqdt0(sz10,sK12)
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(superposition,[status(thm)],[c_199129,c_137]) ).
tcf(c_225252,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sdtsldt0(sK12,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(superposition,[status(thm)],[c_199129,c_141]) ).
tcf(c_225253,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_145]) ).
tcf(c_225254,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK12,sz10),X0) ),
inference(superposition,[status(thm)],[c_199129,c_139]) ).
tcf(c_225255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( sz00 = sz10 )
| ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK12,sz10)) ),
inference(superposition,[status(thm)],[c_199129,c_139]) ).
tcf(c_225256,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK12,sz10)) != sK12 ) ),
inference(superposition,[status(thm)],[c_199129,c_146]) ).
tcf(c_225257,plain,
( sdtlseqdt0(sz10,sK12)
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225251,c_155]) ).
tcf(c_225261,plain,
( ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sz00 != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225242,c_156,c_155]) ).
tcf(c_225265,plain,
! [X0: $i] :
( ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sdtasdt0(sz10,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225253,c_156,c_155]) ).
tcf(c_225270,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK12,sz10)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225256,c_155]) ).
tcf(c_225276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK12)
| ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK12,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225255,c_156,c_155]) ).
tcf(c_225282,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK12,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK12,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225254,c_156,c_155]) ).
tcf(c_225288,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sdtsldt0(sK12,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225252,c_155]) ).
tcf(c_225295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK12,sz10)),sK12)
| ( X0 = sz10 )
| ( sdtsldt0(sK12,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225250,c_155]) ).
tcf(c_225302,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225249,c_155]) ).
tcf(c_225311,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225248,c_155]) ).
tcf(c_225320,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK12,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225239,c_155]) ).
tcf(c_225329,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225247,c_155]) ).
tcf(c_225338,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK12,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225238,c_155]) ).
tcf(c_225347,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK12,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK12,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225237,c_155]) ).
tcf(c_225391,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_64]) ).
tcf(c_225392,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_62]) ).
tcf(c_225393,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_66]) ).
tcf(c_225397,plain,
( ( xp = xr )
| ( xp = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xr ) ),
inference(superposition,[status(thm)],[c_192844,c_101]) ).
tcf(c_225401,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_64]) ).
tcf(c_225402,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_62]) ).
tcf(c_225403,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_66]) ).
tcf(c_225404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192844,c_141]) ).
tcf(c_225406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))))
| ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192844,c_141]) ).
tcf(c_225407,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_145]) ).
tcf(c_225408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(xp,sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_192844,c_139]) ).
tcf(c_225409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( xp = sz00 )
| ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(xp,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_192844,c_139]) ).
tcf(c_225410,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_192844,c_146]) ).
tcf(c_225411,plain,
( ( xp = xr )
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xn,xm) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225397,c_69,c_51]) ).
tcf(c_225415,plain,
! [X0: $i] :
( ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225407,c_68,c_51]) ).
tcf(c_225420,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225410,c_51]) ).
tcf(c_225426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))
| ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225409,c_68,c_51]) ).
tcf(c_225432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))
| ( sK20(xp,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(xp,sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225408,c_68,c_51]) ).
tcf(c_225438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))))
| ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225406,c_51]) ).
tcf(c_225445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(xp,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = xp )
| ( sK20(xp,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225404,c_51]) ).
tcf(c_225452,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225403,c_51]) ).
tcf(c_225461,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK7(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225402,c_51]) ).
tcf(c_225470,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK7(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225401,c_51]) ).
tcf(c_225479,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225393,c_51]) ).
tcf(c_225488,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xp,X0))
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225392,c_51]) ).
tcf(c_225497,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(xp,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(xp,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK20(xp,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225391,c_51]) ).
tcf(c_225506,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_64]) ).
tcf(c_225507,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_62]) ).
tcf(c_225508,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_66]) ).
tcf(c_225511,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sz00 != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_142]) ).
tcf(c_225516,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_64]) ).
tcf(c_225517,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_62]) ).
tcf(c_225518,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_66]) ).
tcf(c_225519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK13)),sK13)
| ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(superposition,[status(thm)],[c_199211,c_141]) ).
tcf(c_225520,plain,
( sdtlseqdt0(sz10,sK13)
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(superposition,[status(thm)],[c_199211,c_137]) ).
tcf(c_225521,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK20(sz10,sK13)))
| ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(superposition,[status(thm)],[c_199211,c_141]) ).
tcf(c_225522,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_145]) ).
tcf(c_225523,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ sdtlseqdt0(sK20(sz10,sK13),X0) ),
inference(superposition,[status(thm)],[c_199211,c_139]) ).
tcf(c_225524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( sz00 = sz10 )
| ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ sdtlseqdt0(X0,sK20(sz10,sK13)) ),
inference(superposition,[status(thm)],[c_199211,c_139]) ).
tcf(c_225525,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sdtasdt0(X0,sK20(sz10,sK13)) != sK13 ) ),
inference(superposition,[status(thm)],[c_199211,c_146]) ).
tcf(c_225526,plain,
( sdtlseqdt0(sz10,sK13)
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225520,c_155]) ).
tcf(c_225530,plain,
( ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sz00 != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225511,c_156,c_155]) ).
tcf(c_225534,plain,
! [X0: $i] :
( ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225522,c_156,c_155]) ).
tcf(c_225539,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ( sdtasdt0(X0,sK20(sz10,sK13)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225525,c_155]) ).
tcf(c_225545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ sdtlseqdt0(X0,sK20(sz10,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225524,c_156,c_155]) ).
tcf(c_225551,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ sdtlseqdt0(sK20(sz10,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225523,c_156,c_155]) ).
tcf(c_225557,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sK20(sz10,sK13)))
| ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225521,c_155]) ).
tcf(c_225564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK13)),sK13)
| ( X0 = sz10 )
| ( sK20(sz10,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225519,c_155]) ).
tcf(c_225571,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225518,c_155]) ).
tcf(c_225580,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225517,c_155]) ).
tcf(c_225589,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225508,c_155]) ).
tcf(c_225598,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225516,c_155]) ).
tcf(c_225607,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225507,c_155]) ).
tcf(c_225616,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225506,c_155]) ).
tcf(c_225625,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK13,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_64]) ).
tcf(c_225626,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK13,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_62]) ).
tcf(c_225627,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK13,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_66]) ).
tcf(c_225630,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sz00 != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_142]) ).
tcf(c_225635,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_64]) ).
tcf(c_225636,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_62]) ).
tcf(c_225637,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_66]) ).
tcf(c_225638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK13,sz10)),sK13)
| ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(superposition,[status(thm)],[c_199216,c_141]) ).
tcf(c_225639,plain,
( sdtlseqdt0(sz10,sK13)
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(superposition,[status(thm)],[c_199216,c_137]) ).
tcf(c_225640,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sdtsldt0(sK13,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(superposition,[status(thm)],[c_199216,c_141]) ).
tcf(c_225641,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_145]) ).
tcf(c_225642,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK13,sz10),X0) ),
inference(superposition,[status(thm)],[c_199216,c_139]) ).
tcf(c_225643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( sz00 = sz10 )
| ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK13,sz10)) ),
inference(superposition,[status(thm)],[c_199216,c_139]) ).
tcf(c_225644,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK13,sz10)) != sK13 ) ),
inference(superposition,[status(thm)],[c_199216,c_146]) ).
tcf(c_225645,plain,
( sdtlseqdt0(sz10,sK13)
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225639,c_155]) ).
tcf(c_225649,plain,
( ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sz00 != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225630,c_156,c_155]) ).
tcf(c_225653,plain,
! [X0: $i] :
( ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sdtasdt0(sz10,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225641,c_156,c_155]) ).
tcf(c_225658,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK13,sz10)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225644,c_155]) ).
tcf(c_225664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK13)
| ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK13,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225643,c_156,c_155]) ).
tcf(c_225670,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK13,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK13,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225642,c_156,c_155]) ).
tcf(c_225676,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sdtsldt0(sK13,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225640,c_155]) ).
tcf(c_225683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK13,sz10)),sK13)
| ( X0 = sz10 )
| ( sdtsldt0(sK13,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225638,c_155]) ).
tcf(c_225690,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225637,c_155]) ).
tcf(c_225699,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225636,c_155]) ).
tcf(c_225708,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK13,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225627,c_155]) ).
tcf(c_225717,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225635,c_155]) ).
tcf(c_225726,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK13,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225626,c_155]) ).
tcf(c_225735,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK13,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK13,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225625,c_155]) ).
tcf(c_225777,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_64]) ).
tcf(c_225778,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_62]) ).
tcf(c_225779,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_66]) ).
tcf(c_225782,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sz00 != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_142]) ).
tcf(c_225787,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_64]) ).
tcf(c_225788,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_62]) ).
tcf(c_225789,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_66]) ).
tcf(c_225790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK14)),sK14)
| ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(superposition,[status(thm)],[c_199278,c_141]) ).
tcf(c_225791,plain,
( sdtlseqdt0(sz10,sK14)
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(superposition,[status(thm)],[c_199278,c_137]) ).
tcf(c_225792,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK20(sz10,sK14)))
| ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(superposition,[status(thm)],[c_199278,c_141]) ).
tcf(c_225793,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_145]) ).
tcf(c_225794,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ sdtlseqdt0(sK20(sz10,sK14),X0) ),
inference(superposition,[status(thm)],[c_199278,c_139]) ).
tcf(c_225795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( sz00 = sz10 )
| ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ sdtlseqdt0(X0,sK20(sz10,sK14)) ),
inference(superposition,[status(thm)],[c_199278,c_139]) ).
tcf(c_225796,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sdtasdt0(X0,sK20(sz10,sK14)) != sK14 ) ),
inference(superposition,[status(thm)],[c_199278,c_146]) ).
tcf(c_225797,plain,
( sdtlseqdt0(sz10,sK14)
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225791,c_155]) ).
tcf(c_225801,plain,
( ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sz00 != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225782,c_156,c_155]) ).
tcf(c_225805,plain,
! [X0: $i] :
( ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225793,c_156,c_155]) ).
tcf(c_225810,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ( sdtasdt0(X0,sK20(sz10,sK14)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225796,c_155]) ).
tcf(c_225816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ sdtlseqdt0(X0,sK20(sz10,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225795,c_156,c_155]) ).
tcf(c_225822,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ sdtlseqdt0(sK20(sz10,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225794,c_156,c_155]) ).
tcf(c_225828,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sK20(sz10,sK14)))
| ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225792,c_155]) ).
tcf(c_225835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK14)),sK14)
| ( X0 = sz10 )
| ( sK20(sz10,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225790,c_155]) ).
tcf(c_225842,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225789,c_155]) ).
tcf(c_225851,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225788,c_155]) ).
tcf(c_225860,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225779,c_155]) ).
tcf(c_225869,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225787,c_155]) ).
tcf(c_225878,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225778,c_155]) ).
tcf(c_225887,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225777,c_155]) ).
tcf(c_225914,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK14,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_64]) ).
tcf(c_225915,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK14,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_62]) ).
tcf(c_225916,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK14,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_66]) ).
tcf(c_225919,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sz00 != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_142]) ).
tcf(c_225924,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_64]) ).
tcf(c_225925,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_62]) ).
tcf(c_225926,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_66]) ).
tcf(c_225927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK14,sz10)),sK14)
| ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(superposition,[status(thm)],[c_199283,c_141]) ).
tcf(c_225928,plain,
( sdtlseqdt0(sz10,sK14)
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(superposition,[status(thm)],[c_199283,c_137]) ).
tcf(c_225929,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sdtsldt0(sK14,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(superposition,[status(thm)],[c_199283,c_141]) ).
tcf(c_225930,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_145]) ).
tcf(c_225931,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK14,sz10),X0) ),
inference(superposition,[status(thm)],[c_199283,c_139]) ).
tcf(c_225932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( sz00 = sz10 )
| ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK14,sz10)) ),
inference(superposition,[status(thm)],[c_199283,c_139]) ).
tcf(c_225933,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK14,sz10)) != sK14 ) ),
inference(superposition,[status(thm)],[c_199283,c_146]) ).
tcf(c_225934,plain,
( sdtlseqdt0(sz10,sK14)
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225928,c_155]) ).
tcf(c_225938,plain,
( ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sz00 != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225919,c_156,c_155]) ).
tcf(c_225942,plain,
! [X0: $i] :
( ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sdtasdt0(sz10,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225930,c_156,c_155]) ).
tcf(c_225947,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK14,sz10)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225933,c_155]) ).
tcf(c_225953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK14)
| ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK14,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225932,c_156,c_155]) ).
tcf(c_225959,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK14,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK14,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225931,c_156,c_155]) ).
tcf(c_225965,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sdtsldt0(sK14,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225929,c_155]) ).
tcf(c_225972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK14,sz10)),sK14)
| ( X0 = sz10 )
| ( sdtsldt0(sK14,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225927,c_155]) ).
tcf(c_225979,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225926,c_155]) ).
tcf(c_225988,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225925,c_155]) ).
tcf(c_225997,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK14,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225916,c_155]) ).
tcf(c_226006,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225924,c_155]) ).
tcf(c_226015,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK14,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225915,c_155]) ).
tcf(c_226024,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK14,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK14,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225914,c_155]) ).
tcf(c_226158,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_64]) ).
tcf(c_226159,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_62]) ).
tcf(c_226160,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_66]) ).
tcf(c_226163,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sz00 != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_142]) ).
tcf(c_226168,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_64]) ).
tcf(c_226169,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_62]) ).
tcf(c_226170,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_66]) ).
tcf(c_226171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK17)),sK17)
| ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(superposition,[status(thm)],[c_199380,c_141]) ).
tcf(c_226172,plain,
( sdtlseqdt0(sz10,sK17)
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(superposition,[status(thm)],[c_199380,c_137]) ).
tcf(c_226173,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK20(sz10,sK17)))
| ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(superposition,[status(thm)],[c_199380,c_141]) ).
tcf(c_226174,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_145]) ).
tcf(c_226175,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ sdtlseqdt0(sK20(sz10,sK17),X0) ),
inference(superposition,[status(thm)],[c_199380,c_139]) ).
tcf(c_226176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( sz00 = sz10 )
| ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ sdtlseqdt0(X0,sK20(sz10,sK17)) ),
inference(superposition,[status(thm)],[c_199380,c_139]) ).
tcf(c_226177,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sdtasdt0(X0,sK20(sz10,sK17)) != sK17 ) ),
inference(superposition,[status(thm)],[c_199380,c_146]) ).
tcf(c_226178,plain,
( sdtlseqdt0(sz10,sK17)
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226172,c_155]) ).
tcf(c_226182,plain,
( ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sz00 != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226163,c_156,c_155]) ).
tcf(c_226186,plain,
! [X0: $i] :
( ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226174,c_156,c_155]) ).
tcf(c_226191,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ( sdtasdt0(X0,sK20(sz10,sK17)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226177,c_155]) ).
tcf(c_226197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ sdtlseqdt0(X0,sK20(sz10,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226176,c_156,c_155]) ).
tcf(c_226203,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ sdtlseqdt0(sK20(sz10,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226175,c_156,c_155]) ).
tcf(c_226209,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sK20(sz10,sK17)))
| ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226173,c_155]) ).
tcf(c_226216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK17)),sK17)
| ( X0 = sz10 )
| ( sK20(sz10,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226171,c_155]) ).
tcf(c_226223,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226170,c_155]) ).
tcf(c_226232,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226169,c_155]) ).
tcf(c_226241,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226160,c_155]) ).
tcf(c_226250,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226168,c_155]) ).
tcf(c_226259,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226159,c_155]) ).
tcf(c_226268,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226158,c_155]) ).
tcf(c_226277,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK17,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_64]) ).
tcf(c_226278,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK17,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_62]) ).
tcf(c_226279,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK17,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_66]) ).
tcf(c_226282,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sz00 != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_142]) ).
tcf(c_226287,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_64]) ).
tcf(c_226288,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_62]) ).
tcf(c_226289,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_66]) ).
tcf(c_226290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK17,sz10)),sK17)
| ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(superposition,[status(thm)],[c_199385,c_141]) ).
tcf(c_226291,plain,
( sdtlseqdt0(sz10,sK17)
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(superposition,[status(thm)],[c_199385,c_137]) ).
tcf(c_226292,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sdtsldt0(sK17,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(superposition,[status(thm)],[c_199385,c_141]) ).
tcf(c_226293,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_145]) ).
tcf(c_226294,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK17,sz10),X0) ),
inference(superposition,[status(thm)],[c_199385,c_139]) ).
tcf(c_226295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( sz00 = sz10 )
| ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK17,sz10)) ),
inference(superposition,[status(thm)],[c_199385,c_139]) ).
tcf(c_226296,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK17,sz10)) != sK17 ) ),
inference(superposition,[status(thm)],[c_199385,c_146]) ).
tcf(c_226297,plain,
( sdtlseqdt0(sz10,sK17)
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226291,c_155]) ).
tcf(c_226301,plain,
( ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sz00 != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226282,c_156,c_155]) ).
tcf(c_226305,plain,
! [X0: $i] :
( ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sdtasdt0(sz10,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226293,c_156,c_155]) ).
tcf(c_226310,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK17,sz10)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226296,c_155]) ).
tcf(c_226316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK17)
| ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK17,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226295,c_156,c_155]) ).
tcf(c_226322,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK17,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK17,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226294,c_156,c_155]) ).
tcf(c_226328,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sdtsldt0(sK17,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226292,c_155]) ).
tcf(c_226335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK17,sz10)),sK17)
| ( X0 = sz10 )
| ( sdtsldt0(sK17,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226290,c_155]) ).
tcf(c_226342,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226289,c_155]) ).
tcf(c_226351,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226288,c_155]) ).
tcf(c_226360,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK17,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226279,c_155]) ).
tcf(c_226369,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226287,c_155]) ).
tcf(c_226378,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK17,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226278,c_155]) ).
tcf(c_226387,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK17,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK17,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226277,c_155]) ).
tcf(c_226396,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_64]) ).
tcf(c_226397,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_62]) ).
tcf(c_226398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_66]) ).
tcf(c_226401,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sz00 != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_142]) ).
tcf(c_226406,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_64]) ).
tcf(c_226407,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_62]) ).
tcf(c_226408,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_66]) ).
tcf(c_226409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK18)),sK18)
| ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(superposition,[status(thm)],[c_199424,c_141]) ).
tcf(c_226410,plain,
( sdtlseqdt0(sz10,sK18)
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(superposition,[status(thm)],[c_199424,c_137]) ).
tcf(c_226411,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK20(sz10,sK18)))
| ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(superposition,[status(thm)],[c_199424,c_141]) ).
tcf(c_226412,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_145]) ).
tcf(c_226413,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ sdtlseqdt0(sK20(sz10,sK18),X0) ),
inference(superposition,[status(thm)],[c_199424,c_139]) ).
tcf(c_226414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( sz00 = sz10 )
| ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ sdtlseqdt0(X0,sK20(sz10,sK18)) ),
inference(superposition,[status(thm)],[c_199424,c_139]) ).
tcf(c_226415,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sdtasdt0(X0,sK20(sz10,sK18)) != sK18 ) ),
inference(superposition,[status(thm)],[c_199424,c_146]) ).
tcf(c_226416,plain,
( sdtlseqdt0(sz10,sK18)
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226410,c_155]) ).
tcf(c_226420,plain,
( ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sz00 != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226401,c_156,c_155]) ).
tcf(c_226424,plain,
! [X0: $i] :
( ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226412,c_156,c_155]) ).
tcf(c_226429,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ( sdtasdt0(X0,sK20(sz10,sK18)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226415,c_155]) ).
tcf(c_226435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ sdtlseqdt0(X0,sK20(sz10,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226414,c_156,c_155]) ).
tcf(c_226441,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( sK20(sz10,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ sdtlseqdt0(sK20(sz10,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226413,c_156,c_155]) ).
tcf(c_226447,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sK20(sz10,sK18)))
| ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226411,c_155]) ).
tcf(c_226454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sK18)),sK18)
| ( X0 = sz10 )
| ( sK20(sz10,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226409,c_155]) ).
tcf(c_226461,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226408,c_155]) ).
tcf(c_226470,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226407,c_155]) ).
tcf(c_226479,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226398,c_155]) ).
tcf(c_226488,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226406,c_155]) ).
tcf(c_226497,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226397,c_155]) ).
tcf(c_226506,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226396,c_155]) ).
tcf(c_226686,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK18,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_64]) ).
tcf(c_226687,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK18,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_62]) ).
tcf(c_226688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK18,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_66]) ).
tcf(c_226691,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sz00 != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_142]) ).
tcf(c_226696,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_64]) ).
tcf(c_226697,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_62]) ).
tcf(c_226698,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_66]) ).
tcf(c_226699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK18,sz10)),sK18)
| ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(superposition,[status(thm)],[c_199429,c_141]) ).
tcf(c_226700,plain,
( sdtlseqdt0(sz10,sK18)
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(superposition,[status(thm)],[c_199429,c_137]) ).
tcf(c_226701,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sdtsldt0(sK18,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(superposition,[status(thm)],[c_199429,c_141]) ).
tcf(c_226702,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_145]) ).
tcf(c_226703,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK18,sz10),X0) ),
inference(superposition,[status(thm)],[c_199429,c_139]) ).
tcf(c_226704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( sz00 = sz10 )
| ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK18,sz10)) ),
inference(superposition,[status(thm)],[c_199429,c_139]) ).
tcf(c_226705,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK18,sz10)) != sK18 ) ),
inference(superposition,[status(thm)],[c_199429,c_146]) ).
tcf(c_226706,plain,
( sdtlseqdt0(sz10,sK18)
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226700,c_155]) ).
tcf(c_226710,plain,
( ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sz00 != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226691,c_156,c_155]) ).
tcf(c_226714,plain,
! [X0: $i] :
( ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sdtasdt0(sz10,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226702,c_156,c_155]) ).
tcf(c_226719,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ( sdtasdt0(X0,sdtsldt0(sK18,sz10)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226705,c_155]) ).
tcf(c_226725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK18)
| ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK18,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226704,c_156,c_155]) ).
tcf(c_226731,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sz10,X0))
| ( sdtsldt0(sK18,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ sdtlseqdt0(sdtsldt0(sK18,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226703,c_156,c_155]) ).
tcf(c_226737,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sdtsldt0(sK18,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226701,c_155]) ).
tcf(c_226744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK18,sz10)),sK18)
| ( X0 = sz10 )
| ( sdtsldt0(sK18,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226699,c_155]) ).
tcf(c_226751,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226698,c_155]) ).
tcf(c_226760,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226697,c_155]) ).
tcf(c_226769,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sK18,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226688,c_155]) ).
tcf(c_226778,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226696,c_155]) ).
tcf(c_226787,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sK18,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226687,c_155]) ).
tcf(c_226796,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK18,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sK18,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226686,c_155]) ).
tcf(c_226805,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xn),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202763,c_65]) ).
tcf(c_226806,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xn),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202763,c_63]) ).
tcf(c_226807,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xn),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202763,c_67]) ).
tcf(c_226814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xn)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(superposition,[status(thm)],[c_202763,c_162]) ).
tcf(c_226815,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sK19(xr,xn)) ),
inference(superposition,[status(thm)],[c_202763,c_158]) ).
tcf(c_226816,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xn))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(superposition,[status(thm)],[c_202763,c_157]) ).
tcf(c_226817,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ sdtlseqdt0(sK19(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_202763,c_160]) ).
tcf(c_226818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ sdtlseqdt0(X0,sK19(xr,xn)) ),
inference(superposition,[status(thm)],[c_202763,c_160]) ).
tcf(c_226819,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ( sdtpldt0(X0,sK19(xr,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_202763,c_167]) ).
tcf(c_226820,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(xr,xn)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(superposition,[status(thm)],[c_202763,c_162]) ).
tcf(c_226821,plain,
! [X0: $i] :
( ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_202763,c_166]) ).
tcf(c_226822,plain,
! [X0: $i] :
( ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226821,c_95]) ).
tcf(c_226827,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ( sdtpldt0(X0,sK19(xr,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226819,c_95]) ).
tcf(c_226832,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226816,c_95]) ).
tcf(c_226838,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sK19(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226815,c_95]) ).
tcf(c_226844,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(xr,xn)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226820,c_95]) ).
tcf(c_226850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xn)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226814,c_95]) ).
tcf(c_226856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ sdtlseqdt0(X0,sK19(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226818,c_95]) ).
tcf(c_226862,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sK19(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ sdtlseqdt0(sK19(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226817,c_95]) ).
tcf(c_226868,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226807,c_95]) ).
tcf(c_226876,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226806,c_95]) ).
tcf(c_226884,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xn),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226805,c_95]) ).
tcf(c_226918,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xn),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_209287,c_65]) ).
tcf(c_226919,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_209287,c_63]) ).
tcf(c_226920,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_209287,c_67]) ).
tcf(c_226927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(superposition,[status(thm)],[c_209287,c_162]) ).
tcf(c_226928,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sK19(sz10,xn)) ),
inference(superposition,[status(thm)],[c_209287,c_158]) ).
tcf(c_226929,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(superposition,[status(thm)],[c_209287,c_157]) ).
tcf(c_226930,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ sdtlseqdt0(sK19(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_209287,c_160]) ).
tcf(c_226931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ sdtlseqdt0(X0,sK19(sz10,xn)) ),
inference(superposition,[status(thm)],[c_209287,c_160]) ).
tcf(c_226932,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ( sdtpldt0(X0,sK19(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_209287,c_167]) ).
tcf(c_226933,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(superposition,[status(thm)],[c_209287,c_162]) ).
tcf(c_226934,plain,
! [X0: $i] :
( ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_209287,c_166]) ).
tcf(c_226935,plain,
! [X0: $i] :
( ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226934,c_155]) ).
tcf(c_226940,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ( sdtpldt0(X0,sK19(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226932,c_155]) ).
tcf(c_226945,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226929,c_155]) ).
tcf(c_226951,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sK19(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226928,c_155]) ).
tcf(c_226957,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK19(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226933,c_155]) ).
tcf(c_226963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226927,c_155]) ).
tcf(c_226969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ sdtlseqdt0(X0,sK19(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226931,c_155]) ).
tcf(c_226975,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK19(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ sdtlseqdt0(sK19(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226930,c_155]) ).
tcf(c_226981,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK19(sz10,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226920,c_155]) ).
tcf(c_226989,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK19(sz10,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226919,c_155]) ).
tcf(c_226997,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz10,xn),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK19(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226918,c_155]) ).
tcf(c_227193,plain,
sdtlseqdt0(xr,sdtasdt0(xn,xm)),
inference(global_subsumption_just,[status(thm)],[c_192113,c_12975,c_14662]) ).
tcf(c_227195,plain,
( ( sdtasdt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xr) ),
inference(superposition,[status(thm)],[c_227193,c_194]) ).
tcf(c_227196,plain,
( ( sdtpldt0(xr,sK19(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_227193,c_165]) ).
tcf(c_227197,plain,
( iLess0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_227193,c_173]) ).
tcf(c_227198,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_227193,c_193]) ).
tcf(c_227199,plain,
( iLess0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227197,c_95,c_191219]) ).
tcf(c_227202,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227198,c_95,c_191219]) ).
tcf(c_227206,plain,
sdtpldt0(xr,sK19(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_227196,c_95,c_191219]) ).
tcf(c_227207,plain,
( ( sdtasdt0(xn,xm) = xr )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227195,c_95,c_191219]) ).
tcf(c_227242,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_64]) ).
tcf(c_227243,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_62]) ).
tcf(c_227244,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_66]) ).
tcf(c_227247,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_192894,c_142]) ).
tcf(c_227252,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_64]) ).
tcf(c_227253,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_62]) ).
tcf(c_227254,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_66]) ).
tcf(c_227255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)),sz00)
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_192894,c_141]) ).
tcf(c_227256,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_192894,c_137]) ).
tcf(c_227257,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_192894,c_141]) ).
tcf(c_227258,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_145]) ).
tcf(c_227259,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ sdtlseqdt0(sK20(sdtsldt0(xn,xr),sz00),X0) ),
inference(superposition,[status(thm)],[c_192894,c_139]) ).
tcf(c_227260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK20(sdtsldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_192894,c_139]) ).
tcf(c_227261,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ( sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_192894,c_146]) ).
tcf(c_227262,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227256,c_125]) ).
tcf(c_227266,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227247,c_125]) ).
tcf(c_227270,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227258,c_125]) ).
tcf(c_227276,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ( sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227261,c_125]) ).
tcf(c_227282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK20(sdtsldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227260,c_125]) ).
tcf(c_227289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ sdtlseqdt0(sK20(sdtsldt0(xn,xr),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227259,c_125]) ).
tcf(c_227296,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227257,c_125]) ).
tcf(c_227303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sz00)),sz00)
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227255,c_125]) ).
tcf(c_227310,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227254,c_125]) ).
tcf(c_227319,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227253,c_125]) ).
tcf(c_227328,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227244,c_125]) ).
tcf(c_227337,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227243,c_125]) ).
tcf(c_227346,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227252,c_125]) ).
tcf(c_227355,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sdtsldt0(xn,xr),sz00),X0)
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sK20(sdtsldt0(xn,xr),sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227242,c_125]) ).
tcf(c_227452,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK18,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193336]) ).
tcf(c_227453,plain,
! [X0: $i] :
( doDivides0(sK18,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193336]) ).
tcf(c_227455,plain,
! [X0: $i] :
( doDivides0(sK18,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227453,c_151]) ).
tcf(c_227459,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK18,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227452,c_151]) ).
tcf(c_227506,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK17,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193340]) ).
tcf(c_227507,plain,
! [X0: $i] :
( doDivides0(sK17,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193340]) ).
tcf(c_227509,plain,
! [X0: $i] :
( doDivides0(sK17,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227507,c_151]) ).
tcf(c_227513,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK17,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227506,c_151]) ).
tcf(c_227526,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK14,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193344]) ).
tcf(c_227527,plain,
! [X0: $i] :
( doDivides0(sK14,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193344]) ).
tcf(c_227529,plain,
! [X0: $i] :
( doDivides0(sK14,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227527,c_151]) ).
tcf(c_227533,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK14,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227526,c_151]) ).
tcf(c_227546,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK13,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193348]) ).
tcf(c_227547,plain,
! [X0: $i] :
( doDivides0(sK13,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193348]) ).
tcf(c_227549,plain,
! [X0: $i] :
( doDivides0(sK13,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227547,c_151]) ).
tcf(c_227553,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK13,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227546,c_151]) ).
tcf(c_227569,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK12,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193352]) ).
tcf(c_227570,plain,
! [X0: $i] :
( doDivides0(sK12,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193352]) ).
tcf(c_227572,plain,
! [X0: $i] :
( doDivides0(sK12,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227570,c_151]) ).
tcf(c_227576,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK12,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227569,c_151]) ).
tcf(c_227589,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK11,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193356]) ).
tcf(c_227590,plain,
! [X0: $i] :
( doDivides0(sK11,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193356]) ).
tcf(c_227592,plain,
! [X0: $i] :
( doDivides0(sK11,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227590,c_151]) ).
tcf(c_227596,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK11,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227589,c_151]) ).
tcf(c_227622,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193360]) ).
tcf(c_227623,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193360]) ).
tcf(c_227625,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227623,c_151]) ).
tcf(c_227629,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227622,c_151]) ).
tcf(c_227654,plain,
! [X0: $i,X1: $i] :
( doDivides0(xk,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193364]) ).
tcf(c_227655,plain,
! [X0: $i] :
( doDivides0(xk,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193364]) ).
tcf(c_227657,plain,
! [X0: $i] :
( doDivides0(xk,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227655,c_151]) ).
tcf(c_227661,plain,
! [X0: $i,X1: $i] :
( doDivides0(xk,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227654,c_151]) ).
tcf(c_227686,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193368]) ).
tcf(c_227687,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193368]) ).
tcf(c_227689,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227687,c_151]) ).
tcf(c_227693,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227686,c_151]) ).
tcf(c_227706,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193372]) ).
tcf(c_227707,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193372]) ).
tcf(c_227709,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227707,c_151]) ).
tcf(c_227713,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227706,c_151]) ).
tcf(c_227738,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193376]) ).
tcf(c_227739,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193376]) ).
tcf(c_227741,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227739,c_151]) ).
tcf(c_227745,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227738,c_151]) ).
tcf(c_227770,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK8,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193380]) ).
tcf(c_227771,plain,
! [X0: $i] :
( doDivides0(sK8,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193380]) ).
tcf(c_227773,plain,
! [X0: $i] :
( doDivides0(sK8,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227771,c_151]) ).
tcf(c_227777,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK8,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227770,c_151]) ).
tcf(c_227810,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK9,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193384]) ).
tcf(c_227811,plain,
! [X0: $i] :
( doDivides0(sK9,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193384]) ).
tcf(c_227813,plain,
! [X0: $i] :
( doDivides0(sK9,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227811,c_151]) ).
tcf(c_227817,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK9,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227810,c_151]) ).
tcf(c_227830,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193388]) ).
tcf(c_227831,plain,
! [X0: $i] :
( doDivides0(sK10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193388]) ).
tcf(c_227833,plain,
! [X0: $i] :
( doDivides0(sK10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227831,c_151]) ).
tcf(c_227837,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227830,c_151]) ).
tcf(c_227854,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193392]) ).
tcf(c_227855,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193392]) ).
tcf(c_227857,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227855,c_151]) ).
tcf(c_227861,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227854,c_151]) ).
tcf(c_227899,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193396]) ).
tcf(c_227900,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193396]) ).
tcf(c_227903,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227900,c_49]) ).
tcf(c_227907,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227899,c_49]) ).
tcf(c_227944,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X1)
| ~ doDivides0(xk,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_193400]) ).
tcf(c_227945,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,X0)) ),
inference(superposition,[status(thm)],[c_272,c_193400]) ).
tcf(c_227948,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227945,c_88]) ).
tcf(c_227952,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X1)
| ~ doDivides0(xk,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227944,c_88]) ).
tcf(c_227980,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193517]) ).
tcf(c_227982,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227980,c_151]) ).
tcf(c_227992,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_227982,c_194]) ).
tcf(c_227993,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227982,c_165]) ).
tcf(c_227994,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227982,c_173]) ).
tcf(c_227995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK18)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_227982,c_193]) ).
tcf(c_227997,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_227982,c_194]) ).
tcf(c_227998,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK18)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227982,c_165]) ).
tcf(c_227999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227982,c_173]) ).
tcf(c_228000,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_227982,c_193]) ).
tcf(c_228001,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK18)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227999,c_127]) ).
tcf(c_228006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227994,c_151]) ).
tcf(c_228011,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK18)) = sK18 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227998,c_127]) ).
tcf(c_228015,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227997,c_127]) ).
tcf(c_228020,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227993,c_151]) ).
tcf(c_228024,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK18)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227992,c_151]) ).
tcf(c_228029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228000,c_127]) ).
tcf(c_228035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK18)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227995,c_151]) ).
tcf(c_228128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193521]) ).
tcf(c_228131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228128,c_151]) ).
tcf(c_228141,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228131,c_194]) ).
tcf(c_228142,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228131,c_165]) ).
tcf(c_228143,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228131,c_173]) ).
tcf(c_228144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK17)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228131,c_193]) ).
tcf(c_228147,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_228131,c_194]) ).
tcf(c_228148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK17)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228131,c_165]) ).
tcf(c_228149,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228131,c_173]) ).
tcf(c_228150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228131,c_193]) ).
tcf(c_228151,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK17)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228149,c_119]) ).
tcf(c_228156,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228143,c_151]) ).
tcf(c_228161,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK17)) = sK17 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228148,c_119]) ).
tcf(c_228165,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228147,c_119]) ).
tcf(c_228170,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228142,c_151]) ).
tcf(c_228174,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK17)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228141,c_151]) ).
tcf(c_228179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228150,c_119]) ).
tcf(c_228185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK17)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228144,c_151]) ).
tcf(c_228200,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193525]) ).
tcf(c_228204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228200,c_151]) ).
tcf(c_228214,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228204,c_194]) ).
tcf(c_228215,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228204,c_165]) ).
tcf(c_228216,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228204,c_173]) ).
tcf(c_228217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK14)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228204,c_193]) ).
tcf(c_228221,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_228204,c_194]) ).
tcf(c_228222,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK14)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228204,c_165]) ).
tcf(c_228223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228204,c_173]) ).
tcf(c_228224,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228204,c_193]) ).
tcf(c_228225,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK14)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228223,c_110]) ).
tcf(c_228230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228216,c_151]) ).
tcf(c_228235,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK14)) = sK14 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228222,c_110]) ).
tcf(c_228239,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228221,c_110]) ).
tcf(c_228244,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228215,c_151]) ).
tcf(c_228248,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK14)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228214,c_151]) ).
tcf(c_228253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228224,c_110]) ).
tcf(c_228259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK14)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228217,c_151]) ).
tcf(c_228274,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193529]) ).
tcf(c_228279,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228274,c_151]) ).
tcf(c_228289,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228279,c_194]) ).
tcf(c_228290,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228279,c_165]) ).
tcf(c_228291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228279,c_173]) ).
tcf(c_228292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK13)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228279,c_193]) ).
tcf(c_228297,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_228279,c_194]) ).
tcf(c_228298,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK13)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228279,c_165]) ).
tcf(c_228299,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228279,c_173]) ).
tcf(c_228300,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228279,c_193]) ).
tcf(c_228301,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK13)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228299,c_106]) ).
tcf(c_228306,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228291,c_151]) ).
tcf(c_228311,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK13)) = sK13 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228298,c_106]) ).
tcf(c_228315,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228297,c_106]) ).
tcf(c_228320,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228290,c_151]) ).
tcf(c_228324,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK13)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228289,c_151]) ).
tcf(c_228329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228300,c_106]) ).
tcf(c_228335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK13)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228292,c_151]) ).
tcf(c_228350,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193533]) ).
tcf(c_228356,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228350,c_151]) ).
tcf(c_228366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228356,c_194]) ).
tcf(c_228367,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228356,c_165]) ).
tcf(c_228368,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228356,c_173]) ).
tcf(c_228369,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK12)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228356,c_193]) ).
tcf(c_228375,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_228356,c_194]) ).
tcf(c_228376,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK12)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228356,c_165]) ).
tcf(c_228377,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228356,c_173]) ).
tcf(c_228378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228356,c_193]) ).
tcf(c_228379,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK12)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228377,c_104]) ).
tcf(c_228384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228368,c_151]) ).
tcf(c_228389,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK12)) = sK12 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228376,c_104]) ).
tcf(c_228393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228375,c_104]) ).
tcf(c_228398,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228367,c_151]) ).
tcf(c_228402,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK12)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228366,c_151]) ).
tcf(c_228407,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228378,c_104]) ).
tcf(c_228413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK12)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228369,c_151]) ).
tcf(c_228586,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193537]) ).
tcf(c_228593,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228586,c_151]) ).
tcf(c_228597,plain,
sdtasdt0(xn,xm) != xr,
inference(global_subsumption_just,[status(thm)],[c_193949,c_51,c_49,c_121,c_77,c_122,c_11679,c_11739,c_12742,c_13032,c_16318,c_56546,c_121405,c_126189]) ).
tcf(c_228605,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228593,c_194]) ).
tcf(c_228606,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228593,c_165]) ).
tcf(c_228607,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228593,c_173]) ).
tcf(c_228608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK11)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228593,c_193]) ).
tcf(c_228615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_228593,c_194]) ).
tcf(c_228616,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK11)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228593,c_165]) ).
tcf(c_228617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228593,c_173]) ).
tcf(c_228618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228593,c_193]) ).
tcf(c_228619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK11)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228617,c_96]) ).
tcf(c_228624,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228607,c_151]) ).
tcf(c_228629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK11)) = sK11 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228616,c_96]) ).
tcf(c_228633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228615,c_96]) ).
tcf(c_228638,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228606,c_151]) ).
tcf(c_228642,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK11)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228605,c_151]) ).
tcf(c_228647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228618,c_96]) ).
tcf(c_228653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK11)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228608,c_151]) ).
tcf(c_228668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193541]) ).
tcf(c_228676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228668,c_151]) ).
tcf(c_228686,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228676,c_194]) ).
tcf(c_228687,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228676,c_165]) ).
tcf(c_228688,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228676,c_173]) ).
tcf(c_228689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228676,c_193]) ).
tcf(c_228697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_228676,c_194]) ).
tcf(c_228698,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK10)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228676,c_165]) ).
tcf(c_228699,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228676,c_173]) ).
tcf(c_228700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228676,c_193]) ).
tcf(c_228701,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK10)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228699,c_85]) ).
tcf(c_228706,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228688,c_151]) ).
tcf(c_228711,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK10)) = sK10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228698,c_85]) ).
tcf(c_228715,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228697,c_85]) ).
tcf(c_228720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228687,c_151]) ).
tcf(c_228724,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228686,c_151]) ).
tcf(c_228729,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228700,c_85]) ).
tcf(c_228735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228689,c_151]) ).
tcf(c_228786,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193545]) ).
tcf(c_228795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228786,c_151]) ).
tcf(c_228805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228795,c_194]) ).
tcf(c_228806,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228795,c_165]) ).
tcf(c_228807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228795,c_173]) ).
tcf(c_228808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK9)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228795,c_193]) ).
tcf(c_228817,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_228795,c_194]) ).
tcf(c_228818,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK9)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228795,c_165]) ).
tcf(c_228819,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228795,c_173]) ).
tcf(c_228820,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228795,c_193]) ).
tcf(c_228821,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK9)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228819,c_81]) ).
tcf(c_228826,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228807,c_151]) ).
tcf(c_228831,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK9)) = sK9 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228818,c_81]) ).
tcf(c_228835,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228817,c_81]) ).
tcf(c_228840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228806,c_151]) ).
tcf(c_228844,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228805,c_151]) ).
tcf(c_228849,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228820,c_81]) ).
tcf(c_228855,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK9)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228808,c_151]) ).
tcf(c_228894,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193549]) ).
tcf(c_228904,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228894,c_151]) ).
tcf(c_228926,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228904,c_194]) ).
tcf(c_228927,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228904,c_165]) ).
tcf(c_228928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228904,c_173]) ).
tcf(c_228929,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK8)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_228904,c_193]) ).
tcf(c_228939,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_228904,c_194]) ).
tcf(c_228940,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK8)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228904,c_165]) ).
tcf(c_228941,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_228904,c_173]) ).
tcf(c_228942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_228904,c_193]) ).
tcf(c_228943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK8)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228941,c_73]) ).
tcf(c_228948,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228928,c_151]) ).
tcf(c_228953,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sK8)) = sK8 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228940,c_73]) ).
tcf(c_228957,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228939,c_73]) ).
tcf(c_228962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228927,c_151]) ).
tcf(c_228966,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228926,c_151]) ).
tcf(c_228971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228942,c_73]) ).
tcf(c_228977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK8)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228929,c_151]) ).
tcf(c_229019,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193553]) ).
tcf(c_229030,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229019,c_151]) ).
tcf(c_229040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229030,c_194]) ).
tcf(c_229041,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229030,c_165]) ).
tcf(c_229042,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229030,c_173]) ).
tcf(c_229043,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229030,c_193]) ).
tcf(c_229055,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_229030,c_194]) ).
tcf(c_229056,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229030,c_165]) ).
tcf(c_229057,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229030,c_173]) ).
tcf(c_229058,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229030,c_193]) ).
tcf(c_229059,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229057,c_50]) ).
tcf(c_229064,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229042,c_151]) ).
tcf(c_229069,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229056,c_50]) ).
tcf(c_229073,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229055,c_50]) ).
tcf(c_229078,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229041,c_151]) ).
tcf(c_229082,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229040,c_151]) ).
tcf(c_229087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229058,c_50]) ).
tcf(c_229093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229043,c_151]) ).
tcf(c_229144,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193557]) ).
tcf(c_229156,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229144,c_151]) ).
tcf(c_229166,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229156,c_194]) ).
tcf(c_229167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229156,c_165]) ).
tcf(c_229168,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229156,c_173]) ).
tcf(c_229169,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229156,c_193]) ).
tcf(c_229182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_229156,c_194]) ).
tcf(c_229183,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229156,c_165]) ).
tcf(c_229184,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229156,c_173]) ).
tcf(c_229185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229156,c_193]) ).
tcf(c_229186,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229184,c_49]) ).
tcf(c_229191,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229168,c_151]) ).
tcf(c_229196,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229183,c_49]) ).
tcf(c_229200,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229182,c_49]) ).
tcf(c_229205,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229167,c_151]) ).
tcf(c_229209,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229166,c_151]) ).
tcf(c_229214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229185,c_49]) ).
tcf(c_229220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229169,c_151]) ).
tcf(c_229281,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193561]) ).
tcf(c_229296,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229281,c_95]) ).
tcf(c_229306,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_229296,c_194]) ).
tcf(c_229307,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229296,c_165]) ).
tcf(c_229308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229296,c_173]) ).
tcf(c_229309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_229296,c_193]) ).
tcf(c_229324,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_229296,c_194]) ).
tcf(c_229325,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229296,c_165]) ).
tcf(c_229326,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229296,c_173]) ).
tcf(c_229327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229296,c_193]) ).
tcf(c_229328,plain,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_229296,c_193020]) ).
tcf(c_229329,plain,
sdtlseqdt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_229328,c_51]) ).
tcf(c_229330,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229326,c_88]) ).
tcf(c_229335,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229308,c_95]) ).
tcf(c_229340,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229325,c_88]) ).
tcf(c_229344,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229324,c_88]) ).
tcf(c_229349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229307,c_95]) ).
tcf(c_229353,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229306,c_95]) ).
tcf(c_229358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229327,c_88]) ).
tcf(c_229364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229309,c_95]) ).
tcf(c_229406,plain,
( ( xp = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xr) ),
inference(superposition,[status(thm)],[c_229329,c_194]) ).
tcf(c_229407,plain,
( ( sdtpldt0(xr,sK19(xr,xp)) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_229329,c_165]) ).
tcf(c_229408,plain,
( iLess0(xr,xp)
| ( xp = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_229329,c_173]) ).
tcf(c_229409,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_229329,c_193]) ).
tcf(c_229410,plain,
( iLess0(xr,xp)
| ( xp = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229408,c_95,c_51]) ).
tcf(c_229413,plain,
sdtpldt0(xr,sK19(xr,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_229407,c_95,c_51]) ).
tcf(c_229414,plain,
( ( xp = xr )
| ~ sdtlseqdt0(xp,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229406,c_95,c_51]) ).
tcf(c_229417,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229409,c_95,c_51]) ).
tcf(c_229449,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xp),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_229413,c_65]) ).
tcf(c_229450,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xp),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_229413,c_63]) ).
tcf(c_229451,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xp),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_229413,c_67]) ).
tcf(c_229458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xp)),xp)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(superposition,[status(thm)],[c_229413,c_162]) ).
tcf(c_229459,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sK19(xr,xp)) ),
inference(superposition,[status(thm)],[c_229413,c_158]) ).
tcf(c_229460,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(superposition,[status(thm)],[c_229413,c_157]) ).
tcf(c_229461,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xr,X0))
| ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ sdtlseqdt0(sK19(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_229413,c_160]) ).
tcf(c_229462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xp)
| ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ sdtlseqdt0(X0,sK19(xr,xp)) ),
inference(superposition,[status(thm)],[c_229413,c_160]) ).
tcf(c_229463,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ( sdtpldt0(X0,sK19(xr,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_229413,c_167]) ).
tcf(c_229464,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xr,xp)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(superposition,[status(thm)],[c_229413,c_162]) ).
tcf(c_229465,plain,
! [X0: $i] :
( ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ( sdtpldt0(xr,X0) != xp ) ),
inference(superposition,[status(thm)],[c_229413,c_166]) ).
tcf(c_229466,plain,
! [X0: $i] :
( ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ( sdtpldt0(xr,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229465,c_95]) ).
tcf(c_229471,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ( sdtpldt0(X0,sK19(xr,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229463,c_95]) ).
tcf(c_229476,plain,
! [X0: $i] :
( doDivides0(X0,sK19(xr,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229460,c_95]) ).
tcf(c_229482,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sK19(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229459,c_95]) ).
tcf(c_229488,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(xr,xp)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229464,c_95]) ).
tcf(c_229494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(xr,xp)),xp)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK19(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229458,c_95]) ).
tcf(c_229500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xp)
| ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ sdtlseqdt0(X0,sK19(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229462,c_95]) ).
tcf(c_229506,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xr,X0))
| ( sK19(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ sdtlseqdt0(sK19(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229461,c_95]) ).
tcf(c_229512,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK19(xr,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229451,c_95]) ).
tcf(c_229520,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sK19(xr,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229450,c_95]) ).
tcf(c_229528,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(xr,xp),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xr,sK19(xr,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229449,c_95]) ).
tcf(c_229585,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_194412,c_65]) ).
tcf(c_229586,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_194412,c_63]) ).
tcf(c_229587,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_194412,c_67]) ).
tcf(c_229590,plain,
( ( sK19(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_194412,c_144]) ).
tcf(c_229594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_194412,c_162]) ).
tcf(c_229595,plain,
! [X0: $i] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sK19(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_194412,c_158]) ).
tcf(c_229596,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_194412,c_157]) ).
tcf(c_229597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK19(sz00,sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_194412,c_160]) ).
tcf(c_229598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK19(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_194412,c_160]) ).
tcf(c_229599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_194412,c_167]) ).
tcf(c_229600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_194412,c_162]) ).
tcf(c_229601,plain,
! [X0: $i] :
( ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtpldt0(sz00,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_194412,c_166]) ).
tcf(c_229602,plain,
( ( sK19(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229590,c_151]) ).
tcf(c_229606,plain,
! [X0: $i] :
( ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtpldt0(sz00,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229601,c_151]) ).
tcf(c_229611,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229599,c_151]) ).
tcf(c_229616,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229596,c_151]) ).
tcf(c_229622,plain,
! [X0: $i] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sK19(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229595,c_151]) ).
tcf(c_229628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229600,c_151]) ).
tcf(c_229634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229594,c_151]) ).
tcf(c_229640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK19(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229598,c_151]) ).
tcf(c_229646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sK19(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK19(sz00,sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229597,c_151]) ).
tcf(c_229652,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229587,c_151]) ).
tcf(c_229660,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229586,c_151]) ).
tcf(c_229668,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK19(sz00,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229585,c_151]) ).
tcf(c_229678,plain,
~ sdtlseqdt0(xp,xr),
inference(global_subsumption_just,[status(thm)],[c_229414,c_95,c_51,c_49,c_77,c_122,c_11679,c_12963,c_13032,c_121668]) ).
tcf(c_229691,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193565]) ).
tcf(c_229705,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229691,c_151]) ).
tcf(c_229715,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229705,c_194]) ).
tcf(c_229716,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229705,c_165]) ).
tcf(c_229717,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229705,c_173]) ).
tcf(c_229718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229705,c_193]) ).
tcf(c_229732,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_229705,c_194]) ).
tcf(c_229733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229705,c_165]) ).
tcf(c_229734,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229705,c_173]) ).
tcf(c_229735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229705,c_193]) ).
tcf(c_229740,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229734,c_155]) ).
tcf(c_229745,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229717,c_151]) ).
tcf(c_229750,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229733,c_155]) ).
tcf(c_229754,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229732,c_155]) ).
tcf(c_229759,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229716,c_151]) ).
tcf(c_229763,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229715,c_151]) ).
tcf(c_229768,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229735,c_155]) ).
tcf(c_229774,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229718,c_151]) ).
tcf(c_229789,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193569]) ).
tcf(c_229804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229789,c_151]) ).
tcf(c_229814,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229804,c_194]) ).
tcf(c_229815,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229804,c_165]) ).
tcf(c_229816,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229804,c_173]) ).
tcf(c_229817,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229804,c_193]) ).
tcf(c_229832,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_229804,c_194]) ).
tcf(c_229833,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229804,c_165]) ).
tcf(c_229834,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229804,c_173]) ).
tcf(c_229835,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229804,c_193]) ).
tcf(c_229837,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229804,c_193561]) ).
tcf(c_229843,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229834,c_95]) ).
tcf(c_229848,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229816,c_151]) ).
tcf(c_229853,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229833,c_95]) ).
tcf(c_229857,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229832,c_95]) ).
tcf(c_229862,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229815,c_151]) ).
tcf(c_229866,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229814,c_151]) ).
tcf(c_229871,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229835,c_95]) ).
tcf(c_229877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229817,c_151]) ).
tcf(c_229889,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229837,c_194]) ).
tcf(c_229890,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229837,c_165]) ).
tcf(c_229891,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229837,c_173]) ).
tcf(c_229892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_229837,c_193]) ).
tcf(c_229907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_229837,c_194]) ).
tcf(c_229908,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229837,c_165]) ).
tcf(c_229909,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229837,c_173]) ).
tcf(c_229910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229837,c_193]) ).
tcf(c_229912,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229909,c_88]) ).
tcf(c_229917,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229891,c_151]) ).
tcf(c_229922,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229908,c_88]) ).
tcf(c_229926,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229907,c_88]) ).
tcf(c_229931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229890,c_151]) ).
tcf(c_229935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229889,c_151]) ).
tcf(c_229940,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229910,c_88]) ).
tcf(c_229946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229892,c_151]) ).
tcf(c_229972,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193573]) ).
tcf(c_230049,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193577]) ).
tcf(c_230066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230049,c_151]) ).
tcf(c_230076,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_230066,c_194]) ).
tcf(c_230077,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230066,c_165]) ).
tcf(c_230078,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230066,c_173]) ).
tcf(c_230079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_230066,c_193]) ).
tcf(c_230096,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_230066,c_194]) ).
tcf(c_230097,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230066,c_165]) ).
tcf(c_230098,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230066,c_173]) ).
tcf(c_230099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230066,c_193]) ).
tcf(c_230100,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230098,c_51]) ).
tcf(c_230105,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230078,c_151]) ).
tcf(c_230110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230097,c_51]) ).
tcf(c_230114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230096,c_51]) ).
tcf(c_230119,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK19(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230077,c_151]) ).
tcf(c_230123,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230076,c_151]) ).
tcf(c_230128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230099,c_51]) ).
tcf(c_230134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230079,c_151]) ).
tcf(c_230187,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193581]) ).
tcf(c_230193,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_229296,c_193581]) ).
tcf(c_230213,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230187,c_88]) ).
tcf(c_230223,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_230193,c_194]) ).
tcf(c_230224,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230193,c_165]) ).
tcf(c_230225,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230193,c_173]) ).
tcf(c_230226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_230193,c_193]) ).
tcf(c_230246,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_230193,c_194]) ).
tcf(c_230247,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230193,c_165]) ).
tcf(c_230248,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230193,c_173]) ).
tcf(c_230249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230193,c_193]) ).
tcf(c_230250,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230248,c_51]) ).
tcf(c_230255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230225,c_95]) ).
tcf(c_230260,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230247,c_51]) ).
tcf(c_230264,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230246,c_51]) ).
tcf(c_230269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230224,c_95]) ).
tcf(c_230273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230223,c_95]) ).
tcf(c_230278,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230249,c_51]) ).
tcf(c_230284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230226,c_95]) ).
tcf(c_230343,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_230213,c_194]) ).
tcf(c_230344,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xk,sK19(xk,X0)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230213,c_165]) ).
tcf(c_230345,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xk,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230213,c_173]) ).
tcf(c_230346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_230213,c_193]) ).
tcf(c_230367,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_230213,c_194]) ).
tcf(c_230368,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230213,c_165]) ).
tcf(c_230369,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230213,c_173]) ).
tcf(c_230370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230213,c_193]) ).
tcf(c_230371,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230369,c_51]) ).
tcf(c_230376,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xk,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230345,c_88]) ).
tcf(c_230381,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230368,c_51]) ).
tcf(c_230385,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230367,c_51]) ).
tcf(c_230390,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xk,sK19(xk,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230344,c_88]) ).
tcf(c_230394,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230343,c_88]) ).
tcf(c_230399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230370,c_51]) ).
tcf(c_230405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230346,c_88]) ).
tcf(c_230452,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193585]) ).
tcf(c_230476,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230452,c_50]) ).
tcf(c_230498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_230476,c_194]) ).
tcf(c_230499,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK19(xm,X0)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230476,c_165]) ).
tcf(c_230500,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xm,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230476,c_173]) ).
tcf(c_230501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_230476,c_193]) ).
tcf(c_230521,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_230476,c_194]) ).
tcf(c_230522,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230476,c_165]) ).
tcf(c_230523,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230476,c_173]) ).
tcf(c_230524,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230476,c_193]) ).
tcf(c_230525,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230523,c_51]) ).
tcf(c_230530,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xm,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230500,c_50]) ).
tcf(c_230535,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230522,c_51]) ).
tcf(c_230539,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230521,c_51]) ).
tcf(c_230544,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK19(xm,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230499,c_50]) ).
tcf(c_230548,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230498,c_50]) ).
tcf(c_230553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230524,c_51]) ).
tcf(c_230559,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230501,c_50]) ).
tcf(c_230619,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_129,c_193589]) ).
tcf(c_230623,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_193589]) ).
tcf(c_230648,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xp),
inference(forward_subsumption_resolution,[status(thm)],[c_230619,c_125]) ).
tcf(c_230649,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230623,c_49]) ).
tcf(c_230665,plain,
( ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_230648,c_194]) ).
tcf(c_230666,plain,
( ( sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_230648,c_165]) ).
tcf(c_230667,plain,
( iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_230648,c_173]) ).
tcf(c_230668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_230648,c_193]) ).
tcf(c_230669,plain,
( iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230667,c_51,c_125]) ).
tcf(c_230672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230668,c_51,c_125]) ).
tcf(c_230676,plain,
sdtpldt0(sdtsldt0(xn,xr),sK19(sdtsldt0(xn,xr),xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_230666,c_51,c_125]) ).
tcf(c_230677,plain,
( ( sdtsldt0(xn,xr) = xp )
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230665,c_51,c_125]) ).
tcf(c_230704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_64]) ).
tcf(c_230705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_62]) ).
tcf(c_230706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_66]) ).
tcf(c_230714,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_64]) ).
tcf(c_230715,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_62]) ).
tcf(c_230716,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_66]) ).
tcf(c_230717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK18,sK18)),sK18)
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_195780,c_141]) ).
tcf(c_230719,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sdtsldt0(sK18,sK18)))
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_195780,c_141]) ).
tcf(c_230720,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_145]) ).
tcf(c_230721,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ sdtlseqdt0(sdtsldt0(sK18,sK18),X0) ),
inference(superposition,[status(thm)],[c_195780,c_139]) ).
tcf(c_230722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ sdtlseqdt0(X0,sdtsldt0(sK18,sK18)) ),
inference(superposition,[status(thm)],[c_195780,c_139]) ).
tcf(c_230723,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ( sdtasdt0(X0,sdtsldt0(sK18,sK18)) != sK18 ) ),
inference(superposition,[status(thm)],[c_195780,c_146]) ).
tcf(c_230724,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ( sdtasdt0(sK18,X0) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230720,c_127]) ).
tcf(c_230730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sK18)
| ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ sdtlseqdt0(X0,sdtsldt0(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230722,c_127]) ).
tcf(c_230737,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sdtsldt0(sK18,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ sdtlseqdt0(sdtsldt0(sK18,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230721,c_127]) ).
tcf(c_230744,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ( sdtasdt0(X0,sdtsldt0(sK18,sK18)) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230723,c_127]) ).
tcf(c_230751,plain,
! [X0: $i] :
( sdtlseqdt0(sK18,sdtasdt0(X0,sdtsldt0(sK18,sK18)))
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230719,c_127]) ).
tcf(c_230759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK18,sK18)),sK18)
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sK18,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230717,c_127]) ).
tcf(c_230767,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230716,c_127]) ).
tcf(c_230777,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230715,c_127]) ).
tcf(c_230787,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230706,c_127]) ).
tcf(c_230797,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230714,c_127]) ).
tcf(c_230807,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230705,c_127]) ).
tcf(c_230817,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK18,sK18),X0)
| ( sz00 = sK18 )
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK18,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sK18,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230704,c_127]) ).
tcf(c_230880,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_230649,c_194]) ).
tcf(c_230881,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK19(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230649,c_165]) ).
tcf(c_230882,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230649,c_173]) ).
tcf(c_230883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_230649,c_193]) ).
tcf(c_230907,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_230649,c_194]) ).
tcf(c_230908,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230649,c_165]) ).
tcf(c_230909,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_230649,c_173]) ).
tcf(c_230910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230649,c_193]) ).
tcf(c_230911,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230909,c_51]) ).
tcf(c_230916,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230882,c_49]) ).
tcf(c_230921,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230908,c_51]) ).
tcf(c_230925,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230907,c_51]) ).
tcf(c_230930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK19(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230881,c_49]) ).
tcf(c_230934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230880,c_49]) ).
tcf(c_230939,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230910,c_51]) ).
tcf(c_230945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230883,c_49]) ).
tcf(c_230968,plain,
( doDivides0(sK21(sK18),sz00)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sK21(sK18)) ),
inference(superposition,[status(thm)],[c_182,c_194724]) ).
tcf(c_230969,plain,
( isPrime0(sK18)
| doDivides0(sK22(sK18),sz00)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sK22(sK18)) ),
inference(superposition,[status(thm)],[c_187,c_194724]) ).
tcf(c_230972,plain,
( doDivides0(sK21(sK18),sz00)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK21(sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230968,c_127]) ).
tcf(c_230982,plain,
( isPrime0(sK18)
| doDivides0(sK22(sK18),sz00)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK22(sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230969,c_127]) ).
tcf(c_230995,plain,
( doDivides0(sK21(sK17),sz00)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sK21(sK17)) ),
inference(superposition,[status(thm)],[c_182,c_194728]) ).
tcf(c_230996,plain,
( isPrime0(sK17)
| doDivides0(sK22(sK17),sz00)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sK22(sK17)) ),
inference(superposition,[status(thm)],[c_187,c_194728]) ).
tcf(c_230999,plain,
( doDivides0(sK21(sK17),sz00)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK21(sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230995,c_119]) ).
tcf(c_231009,plain,
( isPrime0(sK17)
| doDivides0(sK22(sK17),sz00)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK22(sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230996,c_119]) ).
tcf(c_231033,plain,
( doDivides0(sK21(sK14),sz00)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sK21(sK14)) ),
inference(superposition,[status(thm)],[c_182,c_194732]) ).
tcf(c_231034,plain,
( isPrime0(sK14)
| doDivides0(sK22(sK14),sz00)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sK22(sK14)) ),
inference(superposition,[status(thm)],[c_187,c_194732]) ).
tcf(c_231037,plain,
( doDivides0(sK21(sK14),sz00)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK21(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231033,c_110]) ).
tcf(c_231047,plain,
( isPrime0(sK14)
| doDivides0(sK22(sK14),sz00)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK22(sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231034,c_110]) ).
tcf(c_231060,plain,
( doDivides0(sK21(sK13),sz00)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sK21(sK13)) ),
inference(superposition,[status(thm)],[c_182,c_194736]) ).
tcf(c_231061,plain,
( isPrime0(sK13)
| doDivides0(sK22(sK13),sz00)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sK22(sK13)) ),
inference(superposition,[status(thm)],[c_187,c_194736]) ).
tcf(c_231064,plain,
( doDivides0(sK21(sK13),sz00)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK21(sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231060,c_106]) ).
tcf(c_231074,plain,
( isPrime0(sK13)
| doDivides0(sK22(sK13),sz00)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK22(sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231061,c_106]) ).
tcf(c_231087,plain,
( doDivides0(sK21(sK12),sz00)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sK21(sK12)) ),
inference(superposition,[status(thm)],[c_182,c_194740]) ).
tcf(c_231088,plain,
( isPrime0(sK12)
| doDivides0(sK22(sK12),sz00)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sK22(sK12)) ),
inference(superposition,[status(thm)],[c_187,c_194740]) ).
tcf(c_231091,plain,
( doDivides0(sK21(sK12),sz00)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK21(sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231087,c_104]) ).
tcf(c_231101,plain,
( isPrime0(sK12)
| doDivides0(sK22(sK12),sz00)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK22(sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231088,c_104]) ).
tcf(c_231154,plain,
( doDivides0(sK21(sK11),sz00)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK21(sK11)) ),
inference(superposition,[status(thm)],[c_182,c_194744]) ).
tcf(c_231155,plain,
( isPrime0(sK11)
| doDivides0(sK22(sK11),sz00)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK22(sK11)) ),
inference(superposition,[status(thm)],[c_187,c_194744]) ).
tcf(c_231158,plain,
( doDivides0(sK21(sK11),sz00)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK21(sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231154,c_96]) ).
tcf(c_231168,plain,
( isPrime0(sK11)
| doDivides0(sK22(sK11),sz00)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK22(sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231155,c_96]) ).
tcf(c_231195,plain,
( doDivides0(sK21(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_182,c_194748]) ).
tcf(c_231199,plain,
( doDivides0(sK21(xr),sz00)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231195,c_100,c_99,c_95]) ).
tcf(c_231218,plain,
doDivides0(sK21(xr),sz00),
inference(global_subsumption_just,[status(thm)],[c_231199,c_155,c_151,c_95,c_100,c_99,c_206,c_232,c_11558,c_11582,c_11672,c_17147,c_17716,c_52333]) ).
tcf(c_231220,plain,
! [X0: $i] :
( ( sK21(xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xr))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_231218,c_196]) ).
tcf(c_231221,plain,
( ( sK21(xr) = sz00 )
| ( sdtasdt0(sK21(xr),sdtsldt0(sz00,sK21(xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_231218,c_199]) ).
tcf(c_231223,plain,
! [X0: $i] :
( doDivides0(sK21(xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xr))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_231218,c_180]) ).
tcf(c_231224,plain,
( ( sdtasdt0(sK21(xr),sK20(sK21(xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(superposition,[status(thm)],[c_231218,c_176]) ).
tcf(c_231226,plain,
( ( sdtasdt0(sK21(xr),sK20(sK21(xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231224,c_151]) ).
tcf(c_231229,plain,
! [X0: $i] :
( doDivides0(sK21(xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xr))
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231223,c_151]) ).
tcf(c_231234,plain,
( ( sK21(xr) = sz00 )
| ( sdtasdt0(sK21(xr),sdtsldt0(sz00,sK21(xr))) = sz00 )
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231221,c_151]) ).
tcf(c_231238,plain,
! [X0: $i] :
( ( sK21(xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xr))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231220,c_151]) ).
tcf(c_231251,plain,
( doDivides0(sK21(xk),sz00)
| ( sz10 = xk )
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(superposition,[status(thm)],[c_182,c_194752]) ).
tcf(c_231252,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00)
| ( sz10 = xk )
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(superposition,[status(thm)],[c_187,c_194752]) ).
tcf(c_231255,plain,
( doDivides0(sK21(xk),sz00)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231251,c_94,c_93,c_88]) ).
tcf(c_231262,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231252,c_94,c_93,c_88]) ).
tcf(c_231285,plain,
doDivides0(sK21(xk),sz00),
inference(global_subsumption_just,[status(thm)],[c_231255,c_155,c_151,c_95,c_88,c_100,c_94,c_93,c_206,c_232,c_11558,c_11582,c_11668,c_16351,c_16716,c_52547]) ).
tcf(c_231287,plain,
! [X0: $i] :
( ( sK21(xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xk))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xk)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(superposition,[status(thm)],[c_231285,c_196]) ).
tcf(c_231288,plain,
( ( sK21(xk) = sz00 )
| ( sdtasdt0(sK21(xk),sdtsldt0(sz00,sK21(xk))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(superposition,[status(thm)],[c_231285,c_199]) ).
tcf(c_231290,plain,
! [X0: $i] :
( doDivides0(sK21(xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xk))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_231285,c_180]) ).
tcf(c_231291,plain,
( ( sdtasdt0(sK21(xk),sK20(sK21(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(superposition,[status(thm)],[c_231285,c_176]) ).
tcf(c_231293,plain,
( ( sdtasdt0(sK21(xk),sK20(sK21(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sK21(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231291,c_151]) ).
tcf(c_231296,plain,
! [X0: $i] :
( doDivides0(sK21(xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xk))
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231290,c_151]) ).
tcf(c_231301,plain,
( ( sK21(xk) = sz00 )
| ( sdtasdt0(sK21(xk),sdtsldt0(sz00,sK21(xk))) = sz00 )
| ~ aNaturalNumber0(sK21(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231288,c_151]) ).
tcf(c_231305,plain,
! [X0: $i] :
( ( sK21(xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xk))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xk)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231287,c_151]) ).
tcf(c_231328,plain,
( doDivides0(sK21(sK10),sz00)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK21(sK10)) ),
inference(superposition,[status(thm)],[c_182,c_194756]) ).
tcf(c_231329,plain,
( isPrime0(sK10)
| doDivides0(sK22(sK10),sz00)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK22(sK10)) ),
inference(superposition,[status(thm)],[c_187,c_194756]) ).
tcf(c_231332,plain,
( doDivides0(sK21(sK10),sz00)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK21(sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231328,c_85]) ).
tcf(c_231342,plain,
( isPrime0(sK10)
| doDivides0(sK22(sK10),sz00)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK22(sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231329,c_85]) ).
tcf(c_231355,plain,
( doDivides0(sK21(sK9),sz00)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK21(sK9)) ),
inference(superposition,[status(thm)],[c_182,c_194760]) ).
tcf(c_231356,plain,
( isPrime0(sK9)
| doDivides0(sK22(sK9),sz00)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK22(sK9)) ),
inference(superposition,[status(thm)],[c_187,c_194760]) ).
tcf(c_231359,plain,
( doDivides0(sK21(sK9),sz00)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK21(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231355,c_81]) ).
tcf(c_231369,plain,
( isPrime0(sK9)
| doDivides0(sK22(sK9),sz00)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK22(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231356,c_81]) ).
tcf(c_231382,plain,
( doDivides0(sK21(sK8),sz00)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sK21(sK8)) ),
inference(superposition,[status(thm)],[c_182,c_194764]) ).
tcf(c_231383,plain,
( isPrime0(sK8)
| doDivides0(sK22(sK8),sz00)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sK22(sK8)) ),
inference(superposition,[status(thm)],[c_187,c_194764]) ).
tcf(c_231386,plain,
( doDivides0(sK21(sK8),sz00)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK21(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231382,c_73]) ).
tcf(c_231396,plain,
( isPrime0(sK8)
| doDivides0(sK22(sK8),sz00)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK22(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231383,c_73]) ).
tcf(c_231424,plain,
( doDivides0(sK21(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK21(xm)) ),
inference(superposition,[status(thm)],[c_182,c_194768]) ).
tcf(c_231425,plain,
( isPrime0(xm)
| doDivides0(sK22(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK22(xm)) ),
inference(superposition,[status(thm)],[c_187,c_194768]) ).
tcf(c_231428,plain,
( doDivides0(sK21(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK21(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231424,c_50]) ).
tcf(c_231438,plain,
( isPrime0(xm)
| doDivides0(sK22(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK22(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231425,c_50]) ).
tcf(c_231623,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_64]) ).
tcf(c_231624,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_62]) ).
tcf(c_231625,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_66]) ).
tcf(c_231633,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_64]) ).
tcf(c_231634,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_62]) ).
tcf(c_231635,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_66]) ).
tcf(c_231636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK17,sK17)),sK17)
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_195783,c_141]) ).
tcf(c_231638,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sdtsldt0(sK17,sK17)))
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_195783,c_141]) ).
tcf(c_231639,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_145]) ).
tcf(c_231640,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ sdtlseqdt0(sdtsldt0(sK17,sK17),X0) ),
inference(superposition,[status(thm)],[c_195783,c_139]) ).
tcf(c_231641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ sdtlseqdt0(X0,sdtsldt0(sK17,sK17)) ),
inference(superposition,[status(thm)],[c_195783,c_139]) ).
tcf(c_231642,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ( sdtasdt0(X0,sdtsldt0(sK17,sK17)) != sK17 ) ),
inference(superposition,[status(thm)],[c_195783,c_146]) ).
tcf(c_231643,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ( sdtasdt0(sK17,X0) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231639,c_119]) ).
tcf(c_231649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sK17)
| ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ sdtlseqdt0(X0,sdtsldt0(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231641,c_119]) ).
tcf(c_231656,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sdtsldt0(sK17,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ sdtlseqdt0(sdtsldt0(sK17,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231640,c_119]) ).
tcf(c_231663,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ( sdtasdt0(X0,sdtsldt0(sK17,sK17)) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231642,c_119]) ).
tcf(c_231670,plain,
! [X0: $i] :
( sdtlseqdt0(sK17,sdtasdt0(X0,sdtsldt0(sK17,sK17)))
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231638,c_119]) ).
tcf(c_231678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK17,sK17)),sK17)
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sK17,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231636,c_119]) ).
tcf(c_231686,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231635,c_119]) ).
tcf(c_231696,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231634,c_119]) ).
tcf(c_231706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231625,c_119]) ).
tcf(c_231716,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231633,c_119]) ).
tcf(c_231726,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231624,c_119]) ).
tcf(c_231736,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK17,sK17),X0)
| ( sz00 = sK17 )
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK17,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sK17,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231623,c_119]) ).
tcf(c_231789,plain,
( doDivides0(sK21(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK21(xn)) ),
inference(superposition,[status(thm)],[c_182,c_194772]) ).
tcf(c_231790,plain,
( isPrime0(xn)
| doDivides0(sK22(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK22(xn)) ),
inference(superposition,[status(thm)],[c_187,c_194772]) ).
tcf(c_231793,plain,
( doDivides0(sK21(xn),sz00)
| ( xn = sz10 )
| ~ aNaturalNumber0(sK21(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231789,c_214266,c_49]) ).
tcf(c_231802,plain,
( isPrime0(xn)
| doDivides0(sK22(xn),sz00)
| ( xn = sz10 )
| ~ aNaturalNumber0(sK22(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231790,c_214266,c_49]) ).
tcf(c_231819,plain,
( doDivides0(sK21(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_182,c_194776]) ).
tcf(c_231823,plain,
( doDivides0(sK21(xp),sz00)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231819,c_69,c_68,c_51]) ).
tcf(c_231830,plain,
doDivides0(sK21(xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_231823,c_51,c_69,c_68,c_11523,c_52749]) ).
tcf(c_231832,plain,
! [X0: $i] :
( ( sK21(xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xp))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_231830,c_196]) ).
tcf(c_231833,plain,
( ( sK21(xp) = sz00 )
| ( sdtasdt0(sK21(xp),sdtsldt0(sz00,sK21(xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_231830,c_199]) ).
tcf(c_231835,plain,
! [X0: $i] :
( doDivides0(sK21(xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xp))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_231830,c_180]) ).
tcf(c_231836,plain,
( ( sdtasdt0(sK21(xp),sK20(sK21(xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(superposition,[status(thm)],[c_231830,c_176]) ).
tcf(c_231838,plain,
( ( sdtasdt0(sK21(xp),sK20(sK21(xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231836,c_151]) ).
tcf(c_231841,plain,
! [X0: $i] :
( doDivides0(sK21(xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xp))
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231835,c_151]) ).
tcf(c_231846,plain,
( ( sK21(xp) = sz00 )
| ( sdtasdt0(sK21(xp),sdtsldt0(sz00,sK21(xp))) = sz00 )
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231833,c_151]) ).
tcf(c_231850,plain,
! [X0: $i] :
( ( sK21(xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK21(xp))) = sdtsldt0(sdtasdt0(X0,sz00),sK21(xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK21(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231832,c_151]) ).
tcf(c_231871,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_195357]) ).
tcf(c_231872,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_272,c_195357]) ).
tcf(c_231875,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231872,c_49]) ).
tcf(c_231879,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231871,c_49]) ).
tcf(c_231922,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_195376]) ).
tcf(c_231923,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_272,c_195376]) ).
tcf(c_231926,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231923,c_50]) ).
tcf(c_231930,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231922,c_50]) ).
tcf(c_231950,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_195394]) ).
tcf(c_231951,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_272,c_195394]) ).
tcf(c_231954,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231951,c_51]) ).
tcf(c_231958,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231950,c_51]) ).
tcf(c_231974,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_195405]) ).
tcf(c_231998,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231974,c_155]) ).
tcf(c_232011,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_231998,c_194]) ).
tcf(c_232012,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_231998,c_165]) ).
tcf(c_232013,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_231998,c_173]) ).
tcf(c_232014,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_231998,c_193]) ).
tcf(c_232036,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_231998,c_194]) ).
tcf(c_232037,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_231998,c_165]) ).
tcf(c_232038,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_231998,c_173]) ).
tcf(c_232039,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_231998,c_193]) ).
tcf(c_232040,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232038,c_51]) ).
tcf(c_232045,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232013,c_155]) ).
tcf(c_232050,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232037,c_51]) ).
tcf(c_232054,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232036,c_51]) ).
tcf(c_232059,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232012,c_155]) ).
tcf(c_232063,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232011,c_155]) ).
tcf(c_232068,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232039,c_51]) ).
tcf(c_232074,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232014,c_155]) ).
tcf(c_232114,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK8,X1)
| ~ doDivides0(sK8,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_195426]) ).
tcf(c_232115,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK8,X0)) ),
inference(superposition,[status(thm)],[c_272,c_195426]) ).
tcf(c_232118,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK8,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232115,c_73]) ).
tcf(c_232122,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK8,X1)
| ~ doDivides0(sK8,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232114,c_73]) ).
tcf(c_232163,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK9,X1)
| ~ doDivides0(sK9,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_196380]) ).
tcf(c_232164,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK9,X0)) ),
inference(superposition,[status(thm)],[c_272,c_196380]) ).
tcf(c_232167,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK9,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK9,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232164,c_81]) ).
tcf(c_232171,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK9,X1)
| ~ doDivides0(sK9,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232163,c_81]) ).
tcf(c_232184,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK10,X1)
| ~ doDivides0(sK10,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_196401]) ).
tcf(c_232185,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK10,X0)) ),
inference(superposition,[status(thm)],[c_272,c_196401]) ).
tcf(c_232188,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK10,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232185,c_85]) ).
tcf(c_232192,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK10,X1)
| ~ doDivides0(sK10,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232184,c_85]) ).
tcf(c_232224,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X1)
| ~ doDivides0(xk,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_196428]) ).
tcf(c_232225,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,X0)) ),
inference(superposition,[status(thm)],[c_272,c_196428]) ).
tcf(c_232228,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232225,c_88]) ).
tcf(c_232232,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xk,X1)
| ~ doDivides0(xk,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232224,c_88]) ).
tcf(c_232289,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_196440]) ).
tcf(c_232313,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232289,c_155]) ).
tcf(c_232323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232313,c_194]) ).
tcf(c_232324,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232313,c_165]) ).
tcf(c_232325,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232313,c_173]) ).
tcf(c_232326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232313,c_193]) ).
tcf(c_232349,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_232313,c_194]) ).
tcf(c_232350,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232313,c_165]) ).
tcf(c_232351,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232313,c_173]) ).
tcf(c_232352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_232313,c_193]) ).
tcf(c_232355,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232351,c_88]) ).
tcf(c_232360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232325,c_155]) ).
tcf(c_232365,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232350,c_88]) ).
tcf(c_232369,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232349,c_88]) ).
tcf(c_232374,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232324,c_155]) ).
tcf(c_232378,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232323,c_155]) ).
tcf(c_232383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232352,c_88]) ).
tcf(c_232389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232326,c_155]) ).
tcf(c_232450,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X1)
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_196461]) ).
tcf(c_232451,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_272,c_196461]) ).
tcf(c_232454,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232451,c_95]) ).
tcf(c_232458,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X1)
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232450,c_95]) ).
tcf(c_232469,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_64]) ).
tcf(c_232470,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_62]) ).
tcf(c_232471,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_66]) ).
tcf(c_232479,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_64]) ).
tcf(c_232480,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_62]) ).
tcf(c_232481,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_66]) ).
tcf(c_232482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK14,sK14)),sK14)
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_195786,c_141]) ).
tcf(c_232484,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sdtsldt0(sK14,sK14)))
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_195786,c_141]) ).
tcf(c_232485,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_145]) ).
tcf(c_232486,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ sdtlseqdt0(sdtsldt0(sK14,sK14),X0) ),
inference(superposition,[status(thm)],[c_195786,c_139]) ).
tcf(c_232487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ sdtlseqdt0(X0,sdtsldt0(sK14,sK14)) ),
inference(superposition,[status(thm)],[c_195786,c_139]) ).
tcf(c_232488,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ( sdtasdt0(X0,sdtsldt0(sK14,sK14)) != sK14 ) ),
inference(superposition,[status(thm)],[c_195786,c_146]) ).
tcf(c_232489,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ( sdtasdt0(sK14,X0) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232485,c_110]) ).
tcf(c_232495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sK14)
| ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ sdtlseqdt0(X0,sdtsldt0(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232487,c_110]) ).
tcf(c_232502,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sdtsldt0(sK14,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ sdtlseqdt0(sdtsldt0(sK14,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232486,c_110]) ).
tcf(c_232509,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ( sdtasdt0(X0,sdtsldt0(sK14,sK14)) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232488,c_110]) ).
tcf(c_232516,plain,
! [X0: $i] :
( sdtlseqdt0(sK14,sdtasdt0(X0,sdtsldt0(sK14,sK14)))
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232484,c_110]) ).
tcf(c_232524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK14,sK14)),sK14)
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sK14,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232482,c_110]) ).
tcf(c_232532,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232481,c_110]) ).
tcf(c_232542,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232480,c_110]) ).
tcf(c_232552,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232471,c_110]) ).
tcf(c_232562,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232479,c_110]) ).
tcf(c_232572,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232470,c_110]) ).
tcf(c_232582,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK14,sK14),X0)
| ( sz00 = sK14 )
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK14,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sK14,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232469,c_110]) ).
tcf(c_232619,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_196522]) ).
tcf(c_232643,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232619,c_155]) ).
tcf(c_232653,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232643,c_194]) ).
tcf(c_232654,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232643,c_165]) ).
tcf(c_232655,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232643,c_173]) ).
tcf(c_232656,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232643,c_193]) ).
tcf(c_232680,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_232643,c_194]) ).
tcf(c_232681,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232643,c_165]) ).
tcf(c_232682,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232643,c_173]) ).
tcf(c_232683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_232643,c_193]) ).
tcf(c_232688,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232682,c_95]) ).
tcf(c_232693,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232655,c_155]) ).
tcf(c_232698,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232681,c_95]) ).
tcf(c_232702,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232680,c_95]) ).
tcf(c_232707,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232654,c_155]) ).
tcf(c_232711,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232653,c_155]) ).
tcf(c_232716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232683,c_95]) ).
tcf(c_232722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232656,c_155]) ).
tcf(c_232767,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK11,X1)
| ~ doDivides0(sK11,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199084]) ).
tcf(c_232768,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK11,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199084]) ).
tcf(c_232771,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK11,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232768,c_96]) ).
tcf(c_232775,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK11,X1)
| ~ doDivides0(sK11,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232767,c_96]) ).
tcf(c_232793,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK12,X1)
| ~ doDivides0(sK12,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199125]) ).
tcf(c_232794,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK12,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199125]) ).
tcf(c_232797,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK12,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232794,c_104]) ).
tcf(c_232801,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK12,X1)
| ~ doDivides0(sK12,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232793,c_104]) ).
tcf(c_232824,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK13,X1)
| ~ doDivides0(sK13,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199212]) ).
tcf(c_232825,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK13,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199212]) ).
tcf(c_232828,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK13,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232825,c_106]) ).
tcf(c_232832,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK13,X1)
| ~ doDivides0(sK13,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232824,c_106]) ).
tcf(c_232851,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK14,X1)
| ~ doDivides0(sK14,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199279]) ).
tcf(c_232852,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK14,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199279]) ).
tcf(c_232855,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK14,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232852,c_110]) ).
tcf(c_232859,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK14,X1)
| ~ doDivides0(sK14,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232851,c_110]) ).
tcf(c_232872,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK17,X1)
| ~ doDivides0(sK17,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199381]) ).
tcf(c_232873,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK17,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199381]) ).
tcf(c_232876,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK17,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK17,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232873,c_119]) ).
tcf(c_232880,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK17,X1)
| ~ doDivides0(sK17,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232872,c_119]) ).
tcf(c_232893,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK18,X1)
| ~ doDivides0(sK18,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_158,c_199425]) ).
tcf(c_232894,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK18,X0)) ),
inference(superposition,[status(thm)],[c_272,c_199425]) ).
tcf(c_232897,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK18,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK18,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232894,c_127]) ).
tcf(c_232901,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK18,X1)
| ~ doDivides0(sK18,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232893,c_127]) ).
tcf(c_232928,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_202767]) ).
tcf(c_232932,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232643,c_202767]) ).
tcf(c_232957,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232928,c_95]) ).
tcf(c_232967,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232932,c_194]) ).
tcf(c_232968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232932,c_165]) ).
tcf(c_232969,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232932,c_173]) ).
tcf(c_232970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_232932,c_193]) ).
tcf(c_232996,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_232932,c_194]) ).
tcf(c_232997,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232932,c_165]) ).
tcf(c_232998,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232932,c_173]) ).
tcf(c_232999,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_232932,c_193]) ).
tcf(c_233001,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232998,c_49]) ).
tcf(c_233006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232969,c_155]) ).
tcf(c_233011,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232997,c_49]) ).
tcf(c_233015,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232996,c_49]) ).
tcf(c_233020,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK19(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232968,c_155]) ).
tcf(c_233024,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232967,c_155]) ).
tcf(c_233029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232999,c_49]) ).
tcf(c_233035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232970,c_155]) ).
tcf(c_233115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_232957,c_194]) ).
tcf(c_233116,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232957,c_165]) ).
tcf(c_233117,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232957,c_173]) ).
tcf(c_233118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_232957,c_193]) ).
tcf(c_233145,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_232957,c_194]) ).
tcf(c_233146,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232957,c_165]) ).
tcf(c_233147,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232957,c_173]) ).
tcf(c_233148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_232957,c_193]) ).
tcf(c_233150,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233147,c_49]) ).
tcf(c_233155,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xr,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233117,c_95]) ).
tcf(c_233160,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK19(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233146,c_49]) ).
tcf(c_233164,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233145,c_49]) ).
tcf(c_233169,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sK19(xr,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233116,c_95]) ).
tcf(c_233173,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233115,c_95]) ).
tcf(c_233178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233148,c_49]) ).
tcf(c_233184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233118,c_95]) ).
tcf(c_233251,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_209291]) ).
tcf(c_233347,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_229417]) ).
tcf(c_233375,plain,
( isPrime0(xk)
| doDivides0(sK22(xk),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_231262,c_53986]) ).
tcf(c_233381,plain,
! [X0: $i] :
( isPrime0(xk)
| ( sK22(xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK22(xk))) = sdtsldt0(sdtasdt0(X0,sz00),sK22(xk)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(superposition,[status(thm)],[c_233375,c_196]) ).
tcf(c_233382,plain,
( isPrime0(xk)
| ( sK22(xk) = sz00 )
| ( sdtasdt0(sK22(xk),sdtsldt0(sz00,sK22(xk))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(superposition,[status(thm)],[c_233375,c_199]) ).
tcf(c_233384,plain,
! [X0: $i] :
( isPrime0(xk)
| doDivides0(sK22(xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(xk))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_233375,c_180]) ).
tcf(c_233385,plain,
( isPrime0(xk)
| ( sdtasdt0(sK22(xk),sK20(sK22(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(superposition,[status(thm)],[c_233375,c_176]) ).
tcf(c_233387,plain,
( isPrime0(xk)
| ( sdtasdt0(sK22(xk),sK20(sK22(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sK22(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233385,c_151]) ).
tcf(c_233391,plain,
! [X0: $i] :
( isPrime0(xk)
| doDivides0(sK22(xk),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(xk))
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233384,c_151]) ).
tcf(c_233397,plain,
( isPrime0(xk)
| ( sK22(xk) = sz00 )
| ( sdtasdt0(sK22(xk),sdtsldt0(sz00,sK22(xk))) = sz00 )
| ~ aNaturalNumber0(sK22(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233382,c_151]) ).
tcf(c_233402,plain,
! [X0: $i] :
( isPrime0(xk)
| ( sK22(xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sK22(xk))) = sdtsldt0(sdtasdt0(X0,sz00),sK22(xk)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK22(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233381,c_151]) ).
tcf(c_233413,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_50,c_191565]) ).
tcf(c_233414,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_51,c_191565]) ).
tcf(c_233415,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xn) = sdtpldt0(xn,sK4(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_191565]) ).
tcf(c_233418,plain,
sdtpldt0(xn,sK8) = sdtpldt0(sK8,xn),
inference(superposition,[status(thm)],[c_73,c_191565]) ).
tcf(c_233419,plain,
sdtpldt0(xn,sK9) = sdtpldt0(sK9,xn),
inference(superposition,[status(thm)],[c_81,c_191565]) ).
tcf(c_233420,plain,
sdtpldt0(xn,sK10) = sdtpldt0(sK10,xn),
inference(superposition,[status(thm)],[c_85,c_191565]) ).
tcf(c_233421,plain,
sdtpldt0(xn,xk) = sdtpldt0(xk,xn),
inference(superposition,[status(thm)],[c_88,c_191565]) ).
tcf(c_233422,plain,
sdtpldt0(xn,xr) = sdtpldt0(xr,xn),
inference(superposition,[status(thm)],[c_95,c_191565]) ).
tcf(c_233423,plain,
sdtpldt0(xn,sK11) = sdtpldt0(sK11,xn),
inference(superposition,[status(thm)],[c_96,c_191565]) ).
tcf(c_233424,plain,
sdtpldt0(xn,sK12) = sdtpldt0(sK12,xn),
inference(superposition,[status(thm)],[c_104,c_191565]) ).
tcf(c_233425,plain,
sdtpldt0(xn,sK13) = sdtpldt0(sK13,xn),
inference(superposition,[status(thm)],[c_106,c_191565]) ).
tcf(c_233426,plain,
sdtpldt0(xn,sK14) = sdtpldt0(sK14,xn),
inference(superposition,[status(thm)],[c_110,c_191565]) ).
tcf(c_233428,plain,
( sP2
| ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) ) ),
inference(superposition,[status(thm)],[c_116,c_191565]) ).
tcf(c_233429,plain,
sdtpldt0(xn,sK17) = sdtpldt0(sK17,xn),
inference(superposition,[status(thm)],[c_119,c_191565]) ).
tcf(c_233430,plain,
sdtpldt0(sdtsldt0(xn,xr),xn) = sdtpldt0(xn,sdtsldt0(xn,xr)),
inference(superposition,[status(thm)],[c_125,c_191565]) ).
tcf(c_233431,plain,
sdtpldt0(xn,sK18) = sdtpldt0(sK18,xn),
inference(superposition,[status(thm)],[c_127,c_191565]) ).
tcf(c_233432,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_151,c_191565]) ).
tcf(c_233433,plain,
sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_155,c_191565]) ).
tcf(c_233434,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_191565]) ).
tcf(c_233435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK19(X0,X1),xn) = sdtpldt0(xn,sK19(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_191565]) ).
tcf(c_233436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_191565]) ).
tcf(c_233437,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK20(X0,X1),xn) = sdtpldt0(xn,sK20(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_191565]) ).
tcf(c_233438,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),xn) = sdtpldt0(xn,sK21(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_191565]) ).
tcf(c_233439,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),xn) = sdtpldt0(xn,sK22(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_191565]) ).
tcf(c_233440,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xn) = sdtpldt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_191565]) ).
tcf(c_233442,plain,
sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_191219,c_191565]) ).
tcf(c_233444,plain,
sdtpldt0(sK9,xn) = xp,
inference(light_normalisation,[status(thm)],[c_233419,c_82]) ).
tcf(c_234025,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233444,c_65]) ).
tcf(c_234026,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233444,c_63]) ).
tcf(c_234027,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233444,c_67]) ).
tcf(c_234032,plain,
( sdtlseqdt0(sK9,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233444,c_275]) ).
tcf(c_234034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_233444,c_162]) ).
tcf(c_234036,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_233444,c_157]) ).
tcf(c_234037,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK9,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233444,c_160]) ).
tcf(c_234038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233444,c_160]) ).
tcf(c_234039,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xp ) ),
inference(superposition,[status(thm)],[c_233444,c_167]) ).
tcf(c_234040,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xn))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_233444,c_162]) ).
tcf(c_234041,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != xp ) ),
inference(superposition,[status(thm)],[c_233444,c_166]) ).
tcf(c_234042,plain,
sdtlseqdt0(sK9,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_234032,c_81,c_49]) ).
tcf(c_234043,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234041,c_81,c_49]) ).
tcf(c_234047,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234039,c_81,c_49]) ).
tcf(c_234051,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234036,c_81,c_49]) ).
tcf(c_234056,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xn))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234040,c_81,c_49]) ).
tcf(c_234061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234038,c_81,c_49]) ).
tcf(c_234066,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK9,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234037,c_81,c_49]) ).
tcf(c_234071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234034,c_81,c_49]) ).
tcf(c_234076,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234027,c_81,c_49]) ).
tcf(c_234083,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234026,c_81,c_49]) ).
tcf(c_234090,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xn))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234025,c_81,c_49]) ).
tcf(c_234101,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_64]) ).
tcf(c_234102,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_62]) ).
tcf(c_234103,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_66]) ).
tcf(c_234111,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_64]) ).
tcf(c_234112,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_62]) ).
tcf(c_234113,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_66]) ).
tcf(c_234114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK13,sK13)),sK13)
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_195789,c_141]) ).
tcf(c_234116,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sdtsldt0(sK13,sK13)))
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_195789,c_141]) ).
tcf(c_234117,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_145]) ).
tcf(c_234118,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ sdtlseqdt0(sdtsldt0(sK13,sK13),X0) ),
inference(superposition,[status(thm)],[c_195789,c_139]) ).
tcf(c_234119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ sdtlseqdt0(X0,sdtsldt0(sK13,sK13)) ),
inference(superposition,[status(thm)],[c_195789,c_139]) ).
tcf(c_234120,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ( sdtasdt0(X0,sdtsldt0(sK13,sK13)) != sK13 ) ),
inference(superposition,[status(thm)],[c_195789,c_146]) ).
tcf(c_234121,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ( sdtasdt0(sK13,X0) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234117,c_106]) ).
tcf(c_234127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sK13)
| ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ sdtlseqdt0(X0,sdtsldt0(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234119,c_106]) ).
tcf(c_234134,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sdtsldt0(sK13,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ sdtlseqdt0(sdtsldt0(sK13,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234118,c_106]) ).
tcf(c_234141,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ( sdtasdt0(X0,sdtsldt0(sK13,sK13)) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234120,c_106]) ).
tcf(c_234148,plain,
! [X0: $i] :
( sdtlseqdt0(sK13,sdtasdt0(X0,sdtsldt0(sK13,sK13)))
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234116,c_106]) ).
tcf(c_234156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK13,sK13)),sK13)
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sK13,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234114,c_106]) ).
tcf(c_234164,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234113,c_106]) ).
tcf(c_234174,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234112,c_106]) ).
tcf(c_234184,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234103,c_106]) ).
tcf(c_234194,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234111,c_106]) ).
tcf(c_234204,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234102,c_106]) ).
tcf(c_234214,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK13,sK13),X0)
| ( sz00 = sK13 )
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK13,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sK13,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234101,c_106]) ).
tcf(c_234235,plain,
( ( xp = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sK9) ),
inference(superposition,[status(thm)],[c_234042,c_194]) ).
tcf(c_234236,plain,
( ( sdtpldt0(sK9,sK19(sK9,xp)) = xp )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_234042,c_165]) ).
tcf(c_234237,plain,
( iLess0(sK9,xp)
| ( xp = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_234042,c_173]) ).
tcf(c_234238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_234042,c_193]) ).
tcf(c_234239,plain,
( iLess0(sK9,xp)
| ( xp = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234237,c_81,c_51]) ).
tcf(c_234242,plain,
sdtpldt0(sK9,sK19(sK9,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_234236,c_81,c_51]) ).
tcf(c_234243,plain,
( ( xp = sK9 )
| ~ sdtlseqdt0(xp,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234235,c_81,c_51]) ).
tcf(c_234246,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234238,c_81,c_51]) ).
tcf(c_234260,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233413,c_65]) ).
tcf(c_234261,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233413,c_63]) ).
tcf(c_234262,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xn,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233413,c_67]) ).
tcf(c_234265,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_233413,c_144]) ).
tcf(c_234266,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_233413,c_143]) ).
tcf(c_234267,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233413,c_275]) ).
tcf(c_234268,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233413,c_172]) ).
tcf(c_234269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_233413,c_162]) ).
tcf(c_234270,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233413,c_158]) ).
tcf(c_234271,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_233413,c_157]) ).
tcf(c_234272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233413,c_160]) ).
tcf(c_234273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233413,c_160]) ).
tcf(c_234274,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_233413,c_167]) ).
tcf(c_234275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_233413,c_162]) ).
tcf(c_234276,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_233413,c_166]) ).
tcf(c_234277,plain,
aNaturalNumber0(sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_234268,c_50,c_49]) ).
tcf(c_234278,plain,
sdtlseqdt0(xm,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_234267,c_50,c_49]) ).
tcf(c_234282,plain,
sdtpldt0(xn,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_234265,c_214266,c_50,c_49]) ).
tcf(c_234283,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234276,c_50,c_49]) ).
tcf(c_234287,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234274,c_50,c_49]) ).
tcf(c_234291,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234271,c_50,c_49]) ).
tcf(c_234296,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234270,c_50,c_49]) ).
tcf(c_234301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234275,c_50,c_49]) ).
tcf(c_234306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234273,c_50,c_49]) ).
tcf(c_234311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234272,c_50,c_49]) ).
tcf(c_234316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234269,c_50,c_49]) ).
tcf(c_234321,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234262,c_50,c_49]) ).
tcf(c_234328,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234261,c_50,c_49]) ).
tcf(c_234335,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234260,c_50,c_49]) ).
tcf(c_234391,plain,
sdtpldt0(sdtpldt0(xn,xm),xn) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_234277,c_191565]) ).
tcf(c_234392,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_169]) ).
tcf(c_234393,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtasdt0(sdtpldt0(xn,xm),X1)) = sdtasdt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_168]) ).
tcf(c_234394,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),X1) = sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_177]) ).
tcf(c_234395,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),X1) = sdtpldt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_170]) ).
tcf(c_234396,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_178]) ).
tcf(c_234397,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_171]) ).
tcf(c_234398,plain,
sdtasdt0(sz10,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_234277,c_154]) ).
tcf(c_234399,plain,
sdtasdt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_234277,c_153]) ).
tcf(c_234400,plain,
sdtpldt0(sz00,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_234277,c_150]) ).
tcf(c_234401,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_234277,c_149]) ).
tcf(c_234402,plain,
sdtasdt0(sz00,sdtpldt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_234277,c_148]) ).
tcf(c_234403,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_234277,c_147]) ).
tcf(c_234404,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,xm)),xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_234277,c_190836]) ).
tcf(c_234405,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234277,c_282]) ).
tcf(c_234425,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(superposition,[status(thm)],[c_234278,c_194]) ).
tcf(c_234426,plain,
( ( sdtpldt0(xm,sK19(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234278,c_165]) ).
tcf(c_234427,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234278,c_173]) ).
tcf(c_234428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234278,c_193]) ).
tcf(c_234429,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234427,c_50,c_234277]) ).
tcf(c_234432,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234428,c_50,c_234277]) ).
tcf(c_234436,plain,
sdtpldt0(xm,sK19(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_234426,c_50,c_234277]) ).
tcf(c_234437,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234425,c_50,c_234277]) ).
tcf(c_234440,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233414,c_65]) ).
tcf(c_234441,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233414,c_63]) ).
tcf(c_234442,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xn,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233414,c_67]) ).
tcf(c_234446,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_233414,c_143]) ).
tcf(c_234447,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233414,c_275]) ).
tcf(c_234448,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233414,c_172]) ).
tcf(c_234449,plain,
( ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != xm ) ),
inference(superposition,[status(thm)],[c_233414,c_78]) ).
tcf(c_234450,plain,
( ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != xn ) ),
inference(superposition,[status(thm)],[c_233414,c_76]) ).
tcf(c_234451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_233414,c_162]) ).
tcf(c_234452,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233414,c_158]) ).
tcf(c_234453,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_233414,c_157]) ).
tcf(c_234454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233414,c_160]) ).
tcf(c_234455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233414,c_160]) ).
tcf(c_234456,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_233414,c_167]) ).
tcf(c_234457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_233414,c_162]) ).
tcf(c_234458,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_233414,c_166]) ).
tcf(c_234459,plain,
sdtpldt0(xn,xp) != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_234450,c_49]) ).
tcf(c_234460,plain,
sdtpldt0(xn,xp) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_234449,c_49]) ).
tcf(c_234461,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_234448,c_51,c_49]) ).
tcf(c_234462,plain,
sdtlseqdt0(xp,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_234447,c_51,c_49]) ).
tcf(c_234463,plain,
sdtpldt0(xn,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_234446,c_68,c_51,c_49]) ).
tcf(c_234464,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234458,c_51,c_49]) ).
tcf(c_234468,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234456,c_51,c_49]) ).
tcf(c_234472,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234453,c_51,c_49]) ).
tcf(c_234477,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234452,c_51,c_49]) ).
tcf(c_234482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234457,c_51,c_49]) ).
tcf(c_234487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234455,c_51,c_49]) ).
tcf(c_234492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234454,c_51,c_49]) ).
tcf(c_234497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234451,c_51,c_49]) ).
tcf(c_234502,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234442,c_51,c_49]) ).
tcf(c_234509,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234441,c_51,c_49]) ).
tcf(c_234516,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234440,c_51,c_49]) ).
tcf(c_234523,plain,
sdtpldt0(sdtpldt0(xn,xp),xn) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_234461,c_191565]) ).
tcf(c_234524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtasdt0(X1,sdtpldt0(xn,xp))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_169]) ).
tcf(c_234525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtasdt0(sdtpldt0(xn,xp),X1)) = sdtasdt0(sdtpldt0(xn,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_168]) ).
tcf(c_234526,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xp),X0),X1) = sdtasdt0(sdtpldt0(xn,xp),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_177]) ).
tcf(c_234527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),X0),X1) = sdtpldt0(sdtpldt0(xn,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_170]) ).
tcf(c_234528,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xp),X0) = sdtasdt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_178]) ).
tcf(c_234529,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xp),X0) = sdtpldt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_171]) ).
tcf(c_234530,plain,
sdtasdt0(sz10,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_234461,c_154]) ).
tcf(c_234531,plain,
sdtasdt0(sdtpldt0(xn,xp),sz10) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_234461,c_153]) ).
tcf(c_234532,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_234461,c_150]) ).
tcf(c_234533,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_234461,c_149]) ).
tcf(c_234534,plain,
sdtasdt0(sz00,sdtpldt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_234461,c_148]) ).
tcf(c_234535,plain,
sdtasdt0(sdtpldt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_234461,c_147]) ).
tcf(c_234536,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,xp)),xn) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_234461,c_190836]) ).
tcf(c_234537,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234461,c_282]) ).
tcf(c_234604,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_234462,c_194]) ).
tcf(c_234605,plain,
( ( sdtpldt0(xp,sK19(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234462,c_165]) ).
tcf(c_234606,plain,
( iLess0(xp,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234462,c_173]) ).
tcf(c_234607,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234462,c_193]) ).
tcf(c_234608,plain,
( iLess0(xp,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234606,c_51,c_234461]) ).
tcf(c_234611,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234607,c_51,c_234461]) ).
tcf(c_234615,plain,
sdtpldt0(xp,sK19(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_234605,c_51,c_234461]) ).
tcf(c_234616,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234604,c_51,c_234461]) ).
tcf(c_234619,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233418,c_65]) ).
tcf(c_234620,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233418,c_63]) ).
tcf(c_234621,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233418,c_67]) ).
tcf(c_234624,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_233418,c_144]) ).
tcf(c_234625,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_233418,c_143]) ).
tcf(c_234626,plain,
( sdtlseqdt0(sK8,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233418,c_275]) ).
tcf(c_234627,plain,
( aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233418,c_172]) ).
tcf(c_234628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_233418,c_162]) ).
tcf(c_234629,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233418,c_158]) ).
tcf(c_234630,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_233418,c_157]) ).
tcf(c_234631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sK8,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233418,c_160]) ).
tcf(c_234632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xn,sK8))
| ( X0 = xn )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233418,c_160]) ).
tcf(c_234633,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_233418,c_167]) ).
tcf(c_234634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,xn))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_233418,c_162]) ).
tcf(c_234635,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_233418,c_166]) ).
tcf(c_234636,plain,
aNaturalNumber0(sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_234627,c_73,c_49]) ).
tcf(c_234637,plain,
sdtlseqdt0(sK8,sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_234626,c_73,c_49]) ).
tcf(c_234641,plain,
sdtpldt0(xn,sK8) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_234624,c_214266,c_73,c_49]) ).
tcf(c_234642,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234635,c_73,c_49]) ).
tcf(c_234646,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234633,c_73,c_49]) ).
tcf(c_234650,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234630,c_73,c_49]) ).
tcf(c_234655,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234629,c_73,c_49]) ).
tcf(c_234660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,xn))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234634,c_73,c_49]) ).
tcf(c_234665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xn,sK8))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234632,c_73,c_49]) ).
tcf(c_234670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sK8,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234631,c_73,c_49]) ).
tcf(c_234675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234628,c_73,c_49]) ).
tcf(c_234680,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234621,c_73,c_49]) ).
tcf(c_234687,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234620,c_73,c_49]) ).
tcf(c_234694,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234619,c_73,c_49]) ).
tcf(c_234701,plain,
sdtpldt0(sdtpldt0(xn,sK8),xn) = sdtpldt0(xn,sdtpldt0(xn,sK8)),
inference(superposition,[status(thm)],[c_234636,c_191565]) ).
tcf(c_234702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sdtasdt0(X1,sdtpldt0(xn,sK8))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_169]) ).
tcf(c_234703,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sdtasdt0(sdtpldt0(xn,sK8),X1)) = sdtasdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_168]) ).
tcf(c_234704,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK8),X0),X1) = sdtasdt0(sdtpldt0(xn,sK8),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_177]) ).
tcf(c_234705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),X0),X1) = sdtpldt0(sdtpldt0(xn,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_170]) ).
tcf(c_234706,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK8),X0) = sdtasdt0(X0,sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_178]) ).
tcf(c_234707,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK8),X0) = sdtpldt0(X0,sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_171]) ).
tcf(c_234708,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK8)) = sdtpldt0(xn,sK8),
inference(superposition,[status(thm)],[c_234636,c_154]) ).
tcf(c_234709,plain,
sdtasdt0(sdtpldt0(xn,sK8),sz10) = sdtpldt0(xn,sK8),
inference(superposition,[status(thm)],[c_234636,c_153]) ).
tcf(c_234710,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK8)) = sdtpldt0(xn,sK8),
inference(superposition,[status(thm)],[c_234636,c_150]) ).
tcf(c_234711,plain,
sdtpldt0(sdtpldt0(xn,sK8),sz00) = sdtpldt0(xn,sK8),
inference(superposition,[status(thm)],[c_234636,c_149]) ).
tcf(c_234712,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK8)) = sz00,
inference(superposition,[status(thm)],[c_234636,c_148]) ).
tcf(c_234713,plain,
sdtasdt0(sdtpldt0(xn,sK8),sz00) = sz00,
inference(superposition,[status(thm)],[c_234636,c_147]) ).
tcf(c_234714,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK8)),xn) = sdtpldt0(xn,sK8),
inference(superposition,[status(thm)],[c_234636,c_190836]) ).
tcf(c_234715,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sdtpldt0(xn,sK8)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234636,c_282]) ).
tcf(c_234735,plain,
( ( sdtpldt0(xn,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),sK8) ),
inference(superposition,[status(thm)],[c_234637,c_194]) ).
tcf(c_234736,plain,
( ( sdtpldt0(sK8,sK19(sK8,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234637,c_165]) ).
tcf(c_234737,plain,
( iLess0(sK8,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234637,c_173]) ).
tcf(c_234738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234637,c_193]) ).
tcf(c_234739,plain,
( iLess0(sK8,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234737,c_73,c_234636]) ).
tcf(c_234742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234738,c_73,c_234636]) ).
tcf(c_234746,plain,
sdtpldt0(sK8,sK19(sK8,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_234736,c_73,c_234636]) ).
tcf(c_234747,plain,
( ( sdtpldt0(xn,sK8) = sK8 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234735,c_73,c_234636]) ).
tcf(c_234754,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_64]) ).
tcf(c_234755,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_62]) ).
tcf(c_234756,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_66]) ).
tcf(c_234764,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_64]) ).
tcf(c_234765,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_62]) ).
tcf(c_234766,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_66]) ).
tcf(c_234767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK12,sK12)),sK12)
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_195792,c_141]) ).
tcf(c_234769,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sdtsldt0(sK12,sK12)))
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_195792,c_141]) ).
tcf(c_234770,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_145]) ).
tcf(c_234771,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ sdtlseqdt0(sdtsldt0(sK12,sK12),X0) ),
inference(superposition,[status(thm)],[c_195792,c_139]) ).
tcf(c_234772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ sdtlseqdt0(X0,sdtsldt0(sK12,sK12)) ),
inference(superposition,[status(thm)],[c_195792,c_139]) ).
tcf(c_234773,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ( sdtasdt0(X0,sdtsldt0(sK12,sK12)) != sK12 ) ),
inference(superposition,[status(thm)],[c_195792,c_146]) ).
tcf(c_234774,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ( sdtasdt0(sK12,X0) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234770,c_104]) ).
tcf(c_234780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sK12)
| ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ sdtlseqdt0(X0,sdtsldt0(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234772,c_104]) ).
tcf(c_234787,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sdtsldt0(sK12,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ sdtlseqdt0(sdtsldt0(sK12,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234771,c_104]) ).
tcf(c_234794,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ( sdtasdt0(X0,sdtsldt0(sK12,sK12)) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234773,c_104]) ).
tcf(c_234801,plain,
! [X0: $i] :
( sdtlseqdt0(sK12,sdtasdt0(X0,sdtsldt0(sK12,sK12)))
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234769,c_104]) ).
tcf(c_234809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK12,sK12)),sK12)
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sK12,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234767,c_104]) ).
tcf(c_234817,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234766,c_104]) ).
tcf(c_234827,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234765,c_104]) ).
tcf(c_234837,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234756,c_104]) ).
tcf(c_234847,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234764,c_104]) ).
tcf(c_234857,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234755,c_104]) ).
tcf(c_234867,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK12,sK12),X0)
| ( sz00 = sK12 )
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK12,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sK12,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234754,c_104]) ).
tcf(c_234920,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233420,c_65]) ).
tcf(c_234921,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233420,c_63]) ).
tcf(c_234922,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233420,c_67]) ).
tcf(c_234925,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_233420,c_144]) ).
tcf(c_234926,plain,
( ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_233420,c_143]) ).
tcf(c_234927,plain,
( sdtlseqdt0(sK10,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233420,c_275]) ).
tcf(c_234928,plain,
( aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233420,c_172]) ).
tcf(c_234929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_233420,c_162]) ).
tcf(c_234930,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233420,c_158]) ).
tcf(c_234931,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_233420,c_157]) ).
tcf(c_234932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sK10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233420,c_160]) ).
tcf(c_234933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(xn,sK10))
| ( X0 = xn )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233420,c_160]) ).
tcf(c_234934,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_233420,c_167]) ).
tcf(c_234935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,xn))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_233420,c_162]) ).
tcf(c_234936,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_233420,c_166]) ).
tcf(c_234937,plain,
aNaturalNumber0(sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_234928,c_85,c_49]) ).
tcf(c_234938,plain,
sdtlseqdt0(sK10,sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_234927,c_85,c_49]) ).
tcf(c_234942,plain,
sdtpldt0(xn,sK10) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_234925,c_214266,c_85,c_49]) ).
tcf(c_234943,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234936,c_85,c_49]) ).
tcf(c_234947,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234934,c_85,c_49]) ).
tcf(c_234951,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234931,c_85,c_49]) ).
tcf(c_234956,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234930,c_85,c_49]) ).
tcf(c_234961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,xn))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234935,c_85,c_49]) ).
tcf(c_234966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(xn,sK10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234933,c_85,c_49]) ).
tcf(c_234971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sK10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234932,c_85,c_49]) ).
tcf(c_234976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234929,c_85,c_49]) ).
tcf(c_234981,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234922,c_85,c_49]) ).
tcf(c_234988,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234921,c_85,c_49]) ).
tcf(c_234995,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234920,c_85,c_49]) ).
tcf(c_235002,plain,
sdtpldt0(sdtpldt0(xn,sK10),xn) = sdtpldt0(xn,sdtpldt0(xn,sK10)),
inference(superposition,[status(thm)],[c_234937,c_191565]) ).
tcf(c_235003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sdtasdt0(X1,sdtpldt0(xn,sK10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_169]) ).
tcf(c_235004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sdtasdt0(sdtpldt0(xn,sK10),X1)) = sdtasdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_168]) ).
tcf(c_235005,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK10),X0),X1) = sdtasdt0(sdtpldt0(xn,sK10),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_177]) ).
tcf(c_235006,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),X0),X1) = sdtpldt0(sdtpldt0(xn,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_170]) ).
tcf(c_235007,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK10),X0) = sdtasdt0(X0,sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_178]) ).
tcf(c_235008,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK10),X0) = sdtpldt0(X0,sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_171]) ).
tcf(c_235009,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK10)) = sdtpldt0(xn,sK10),
inference(superposition,[status(thm)],[c_234937,c_154]) ).
tcf(c_235010,plain,
sdtasdt0(sdtpldt0(xn,sK10),sz10) = sdtpldt0(xn,sK10),
inference(superposition,[status(thm)],[c_234937,c_153]) ).
tcf(c_235011,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK10)) = sdtpldt0(xn,sK10),
inference(superposition,[status(thm)],[c_234937,c_150]) ).
tcf(c_235012,plain,
sdtpldt0(sdtpldt0(xn,sK10),sz00) = sdtpldt0(xn,sK10),
inference(superposition,[status(thm)],[c_234937,c_149]) ).
tcf(c_235013,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK10)) = sz00,
inference(superposition,[status(thm)],[c_234937,c_148]) ).
tcf(c_235014,plain,
sdtasdt0(sdtpldt0(xn,sK10),sz00) = sz00,
inference(superposition,[status(thm)],[c_234937,c_147]) ).
tcf(c_235015,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK10)),xn) = sdtpldt0(xn,sK10),
inference(superposition,[status(thm)],[c_234937,c_190836]) ).
tcf(c_235016,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sdtpldt0(xn,sK10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_234937,c_282]) ).
tcf(c_235036,plain,
( ( sdtpldt0(xn,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),sK10) ),
inference(superposition,[status(thm)],[c_234938,c_194]) ).
tcf(c_235037,plain,
( ( sdtpldt0(sK10,sK19(sK10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_234938,c_165]) ).
tcf(c_235038,plain,
( iLess0(sK10,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_234938,c_173]) ).
tcf(c_235039,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_234938,c_193]) ).
tcf(c_235040,plain,
( iLess0(sK10,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235038,c_85,c_234937]) ).
tcf(c_235043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235039,c_85,c_234937]) ).
tcf(c_235047,plain,
sdtpldt0(sK10,sK19(sK10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_235037,c_85,c_234937]) ).
tcf(c_235048,plain,
( ( sdtpldt0(xn,sK10) = sK10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235036,c_85,c_234937]) ).
tcf(c_235051,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233421,c_65]) ).
tcf(c_235052,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233421,c_63]) ).
tcf(c_235053,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(xn,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233421,c_67]) ).
tcf(c_235057,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_233421,c_143]) ).
tcf(c_235058,plain,
( sdtlseqdt0(xk,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233421,c_275]) ).
tcf(c_235059,plain,
( aNaturalNumber0(sdtpldt0(xn,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233421,c_172]) ).
tcf(c_235060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_233421,c_162]) ).
tcf(c_235061,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233421,c_158]) ).
tcf(c_235062,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_233421,c_157]) ).
tcf(c_235063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(xk,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233421,c_160]) ).
tcf(c_235064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xn,xk))
| ( X0 = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233421,c_160]) ).
tcf(c_235065,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_233421,c_167]) ).
tcf(c_235066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,xn))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_233421,c_162]) ).
tcf(c_235067,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_233421,c_166]) ).
tcf(c_235068,plain,
aNaturalNumber0(sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_235059,c_88,c_49]) ).
tcf(c_235069,plain,
sdtlseqdt0(xk,sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_235058,c_88,c_49]) ).
tcf(c_235070,plain,
sdtpldt0(xn,xk) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235057,c_93,c_88,c_49]) ).
tcf(c_235071,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235067,c_88,c_49]) ).
tcf(c_235075,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235065,c_88,c_49]) ).
tcf(c_235079,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235062,c_88,c_49]) ).
tcf(c_235084,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235061,c_88,c_49]) ).
tcf(c_235089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,xn))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235066,c_88,c_49]) ).
tcf(c_235094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xn,xk))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235064,c_88,c_49]) ).
tcf(c_235099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(xk,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235063,c_88,c_49]) ).
tcf(c_235104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235060,c_88,c_49]) ).
tcf(c_235109,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235053,c_88,c_49]) ).
tcf(c_235116,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235052,c_88,c_49]) ).
tcf(c_235123,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235051,c_88,c_49]) ).
tcf(c_235130,plain,
sdtpldt0(sdtpldt0(xn,xk),xn) = sdtpldt0(xn,sdtpldt0(xn,xk)),
inference(superposition,[status(thm)],[c_235068,c_191565]) ).
tcf(c_235131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sdtasdt0(X1,sdtpldt0(xn,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_169]) ).
tcf(c_235132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xk),X0),sdtasdt0(sdtpldt0(xn,xk),X1)) = sdtasdt0(sdtpldt0(xn,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_168]) ).
tcf(c_235133,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xk),X0),X1) = sdtasdt0(sdtpldt0(xn,xk),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_177]) ).
tcf(c_235134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),X0),X1) = sdtpldt0(sdtpldt0(xn,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_170]) ).
tcf(c_235135,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xk),X0) = sdtasdt0(X0,sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_178]) ).
tcf(c_235136,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xk),X0) = sdtpldt0(X0,sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_171]) ).
tcf(c_235137,plain,
sdtasdt0(sz10,sdtpldt0(xn,xk)) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_235068,c_154]) ).
tcf(c_235138,plain,
sdtasdt0(sdtpldt0(xn,xk),sz10) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_235068,c_153]) ).
tcf(c_235139,plain,
sdtpldt0(sz00,sdtpldt0(xn,xk)) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_235068,c_150]) ).
tcf(c_235140,plain,
sdtpldt0(sdtpldt0(xn,xk),sz00) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_235068,c_149]) ).
tcf(c_235141,plain,
sdtasdt0(sz00,sdtpldt0(xn,xk)) = sz00,
inference(superposition,[status(thm)],[c_235068,c_148]) ).
tcf(c_235142,plain,
sdtasdt0(sdtpldt0(xn,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_235068,c_147]) ).
tcf(c_235143,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,xk)),xn) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_235068,c_190836]) ).
tcf(c_235144,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xk),X0),sdtpldt0(xn,xk)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235068,c_282]) ).
tcf(c_235221,plain,
( ( sdtpldt0(xn,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),xk) ),
inference(superposition,[status(thm)],[c_235069,c_194]) ).
tcf(c_235222,plain,
( ( sdtpldt0(xk,sK19(xk,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235069,c_165]) ).
tcf(c_235223,plain,
( iLess0(xk,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235069,c_173]) ).
tcf(c_235224,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235069,c_193]) ).
tcf(c_235225,plain,
( iLess0(xk,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235223,c_88,c_235068]) ).
tcf(c_235228,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235224,c_88,c_235068]) ).
tcf(c_235232,plain,
sdtpldt0(xk,sK19(xk,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_235222,c_88,c_235068]) ).
tcf(c_235233,plain,
( ( sdtpldt0(xn,xk) = xk )
| ~ sdtlseqdt0(sdtpldt0(xn,xk),xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235221,c_88,c_235068]) ).
tcf(c_235236,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233422,c_65]) ).
tcf(c_235237,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233422,c_63]) ).
tcf(c_235238,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(xn,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233422,c_67]) ).
tcf(c_235242,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_233422,c_143]) ).
tcf(c_235243,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233422,c_275]) ).
tcf(c_235244,plain,
( aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233422,c_172]) ).
tcf(c_235245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_233422,c_162]) ).
tcf(c_235246,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233422,c_158]) ).
tcf(c_235247,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_233422,c_157]) ).
tcf(c_235248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233422,c_160]) ).
tcf(c_235249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233422,c_160]) ).
tcf(c_235250,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_233422,c_167]) ).
tcf(c_235251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_233422,c_162]) ).
tcf(c_235252,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_233422,c_166]) ).
tcf(c_235253,plain,
aNaturalNumber0(sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_235244,c_95,c_49]) ).
tcf(c_235254,plain,
sdtlseqdt0(xr,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_235243,c_95,c_49]) ).
tcf(c_235255,plain,
sdtpldt0(xn,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235242,c_99,c_95,c_49]) ).
tcf(c_235256,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235252,c_95,c_49]) ).
tcf(c_235260,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235250,c_95,c_49]) ).
tcf(c_235264,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235247,c_95,c_49]) ).
tcf(c_235269,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235246,c_95,c_49]) ).
tcf(c_235274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235251,c_95,c_49]) ).
tcf(c_235279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235249,c_95,c_49]) ).
tcf(c_235284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235248,c_95,c_49]) ).
tcf(c_235289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235245,c_95,c_49]) ).
tcf(c_235294,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235238,c_95,c_49]) ).
tcf(c_235301,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235237,c_95,c_49]) ).
tcf(c_235308,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235236,c_95,c_49]) ).
tcf(c_235315,plain,
sdtpldt0(sdtpldt0(xn,xr),xn) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_235253,c_191565]) ).
tcf(c_235316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtasdt0(X1,sdtpldt0(xn,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_169]) ).
tcf(c_235317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtasdt0(sdtpldt0(xn,xr),X1)) = sdtasdt0(sdtpldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_168]) ).
tcf(c_235318,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xr),X0),X1) = sdtasdt0(sdtpldt0(xn,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_177]) ).
tcf(c_235319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),X0),X1) = sdtpldt0(sdtpldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_170]) ).
tcf(c_235320,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xr),X0) = sdtasdt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_178]) ).
tcf(c_235321,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xr),X0) = sdtpldt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_171]) ).
tcf(c_235322,plain,
sdtasdt0(sz10,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_235253,c_154]) ).
tcf(c_235323,plain,
sdtasdt0(sdtpldt0(xn,xr),sz10) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_235253,c_153]) ).
tcf(c_235324,plain,
sdtpldt0(sz00,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_235253,c_150]) ).
tcf(c_235325,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_235253,c_149]) ).
tcf(c_235326,plain,
sdtasdt0(sz00,sdtpldt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_235253,c_148]) ).
tcf(c_235327,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_235253,c_147]) ).
tcf(c_235328,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_235253,c_190836]) ).
tcf(c_235329,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235253,c_282]) ).
tcf(c_235419,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_235254,c_194]) ).
tcf(c_235420,plain,
( ( sdtpldt0(xr,sK19(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235254,c_165]) ).
tcf(c_235421,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235254,c_173]) ).
tcf(c_235422,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235254,c_193]) ).
tcf(c_235423,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235421,c_95,c_235253]) ).
tcf(c_235426,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235422,c_95,c_235253]) ).
tcf(c_235430,plain,
sdtpldt0(xr,sK19(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_235420,c_95,c_235253]) ).
tcf(c_235431,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235419,c_95,c_235253]) ).
tcf(c_235462,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233423,c_65]) ).
tcf(c_235463,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233423,c_63]) ).
tcf(c_235464,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233423,c_67]) ).
tcf(c_235467,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_233423,c_144]) ).
tcf(c_235468,plain,
( ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_233423,c_143]) ).
tcf(c_235469,plain,
( sdtlseqdt0(sK11,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233423,c_275]) ).
tcf(c_235470,plain,
( aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233423,c_172]) ).
tcf(c_235471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_233423,c_162]) ).
tcf(c_235472,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233423,c_158]) ).
tcf(c_235473,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_233423,c_157]) ).
tcf(c_235474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sK11,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233423,c_160]) ).
tcf(c_235475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xn,sK11))
| ( X0 = xn )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233423,c_160]) ).
tcf(c_235476,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_233423,c_167]) ).
tcf(c_235477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,xn))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_233423,c_162]) ).
tcf(c_235478,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_233423,c_166]) ).
tcf(c_235479,plain,
aNaturalNumber0(sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_235470,c_96,c_49]) ).
tcf(c_235480,plain,
sdtlseqdt0(sK11,sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_235469,c_96,c_49]) ).
tcf(c_235484,plain,
sdtpldt0(xn,sK11) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235467,c_214266,c_96,c_49]) ).
tcf(c_235485,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235478,c_96,c_49]) ).
tcf(c_235489,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235476,c_96,c_49]) ).
tcf(c_235493,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235473,c_96,c_49]) ).
tcf(c_235498,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235472,c_96,c_49]) ).
tcf(c_235503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,xn))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235477,c_96,c_49]) ).
tcf(c_235508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xn,sK11))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235475,c_96,c_49]) ).
tcf(c_235513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sK11,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235474,c_96,c_49]) ).
tcf(c_235518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235471,c_96,c_49]) ).
tcf(c_235523,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235464,c_96,c_49]) ).
tcf(c_235530,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235463,c_96,c_49]) ).
tcf(c_235537,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235462,c_96,c_49]) ).
tcf(c_235631,plain,
sdtpldt0(sdtpldt0(xn,sK11),xn) = sdtpldt0(xn,sdtpldt0(xn,sK11)),
inference(superposition,[status(thm)],[c_235479,c_191565]) ).
tcf(c_235632,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sdtasdt0(X1,sdtpldt0(xn,sK11))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_169]) ).
tcf(c_235633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sdtasdt0(sdtpldt0(xn,sK11),X1)) = sdtasdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_168]) ).
tcf(c_235634,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK11),X0),X1) = sdtasdt0(sdtpldt0(xn,sK11),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_177]) ).
tcf(c_235635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),X0),X1) = sdtpldt0(sdtpldt0(xn,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_170]) ).
tcf(c_235636,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK11),X0) = sdtasdt0(X0,sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_178]) ).
tcf(c_235637,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK11),X0) = sdtpldt0(X0,sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_171]) ).
tcf(c_235638,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK11)) = sdtpldt0(xn,sK11),
inference(superposition,[status(thm)],[c_235479,c_154]) ).
tcf(c_235639,plain,
sdtasdt0(sdtpldt0(xn,sK11),sz10) = sdtpldt0(xn,sK11),
inference(superposition,[status(thm)],[c_235479,c_153]) ).
tcf(c_235640,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK11)) = sdtpldt0(xn,sK11),
inference(superposition,[status(thm)],[c_235479,c_150]) ).
tcf(c_235641,plain,
sdtpldt0(sdtpldt0(xn,sK11),sz00) = sdtpldt0(xn,sK11),
inference(superposition,[status(thm)],[c_235479,c_149]) ).
tcf(c_235642,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK11)) = sz00,
inference(superposition,[status(thm)],[c_235479,c_148]) ).
tcf(c_235643,plain,
sdtasdt0(sdtpldt0(xn,sK11),sz00) = sz00,
inference(superposition,[status(thm)],[c_235479,c_147]) ).
tcf(c_235644,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK11)),xn) = sdtpldt0(xn,sK11),
inference(superposition,[status(thm)],[c_235479,c_190836]) ).
tcf(c_235645,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sdtpldt0(xn,sK11)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235479,c_282]) ).
tcf(c_235665,plain,
( ( sdtpldt0(xn,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),sK11) ),
inference(superposition,[status(thm)],[c_235480,c_194]) ).
tcf(c_235666,plain,
( ( sdtpldt0(sK11,sK19(sK11,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235480,c_165]) ).
tcf(c_235667,plain,
( iLess0(sK11,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235480,c_173]) ).
tcf(c_235668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235480,c_193]) ).
tcf(c_235669,plain,
( iLess0(sK11,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235667,c_96,c_235479]) ).
tcf(c_235672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235668,c_96,c_235479]) ).
tcf(c_235676,plain,
sdtpldt0(sK11,sK19(sK11,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_235666,c_96,c_235479]) ).
tcf(c_235677,plain,
( ( sdtpldt0(xn,sK11) = sK11 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235665,c_96,c_235479]) ).
tcf(c_235697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_64]) ).
tcf(c_235698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_62]) ).
tcf(c_235699,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_66]) ).
tcf(c_235707,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_64]) ).
tcf(c_235708,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_62]) ).
tcf(c_235709,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_66]) ).
tcf(c_235710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK11,sK11)),sK11)
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_195795,c_141]) ).
tcf(c_235712,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sdtsldt0(sK11,sK11)))
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_195795,c_141]) ).
tcf(c_235713,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_145]) ).
tcf(c_235714,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ sdtlseqdt0(sdtsldt0(sK11,sK11),X0) ),
inference(superposition,[status(thm)],[c_195795,c_139]) ).
tcf(c_235715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ sdtlseqdt0(X0,sdtsldt0(sK11,sK11)) ),
inference(superposition,[status(thm)],[c_195795,c_139]) ).
tcf(c_235716,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ( sdtasdt0(X0,sdtsldt0(sK11,sK11)) != sK11 ) ),
inference(superposition,[status(thm)],[c_195795,c_146]) ).
tcf(c_235717,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ( sdtasdt0(sK11,X0) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235713,c_96]) ).
tcf(c_235723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sK11)
| ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ sdtlseqdt0(X0,sdtsldt0(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235715,c_96]) ).
tcf(c_235730,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sdtsldt0(sK11,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ sdtlseqdt0(sdtsldt0(sK11,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235714,c_96]) ).
tcf(c_235737,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ( sdtasdt0(X0,sdtsldt0(sK11,sK11)) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235716,c_96]) ).
tcf(c_235744,plain,
! [X0: $i] :
( sdtlseqdt0(sK11,sdtasdt0(X0,sdtsldt0(sK11,sK11)))
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235712,c_96]) ).
tcf(c_235752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK11,sK11)),sK11)
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sK11,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235710,c_96]) ).
tcf(c_235760,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235709,c_96]) ).
tcf(c_235770,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235708,c_96]) ).
tcf(c_235780,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235699,c_96]) ).
tcf(c_235790,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235707,c_96]) ).
tcf(c_235800,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235698,c_96]) ).
tcf(c_235810,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK11,sK11),X0)
| ( sz00 = sK11 )
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK11,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sK11,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235697,c_96]) ).
tcf(c_235870,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233424,c_65]) ).
tcf(c_235871,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233424,c_63]) ).
tcf(c_235872,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233424,c_67]) ).
tcf(c_235875,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_233424,c_144]) ).
tcf(c_235876,plain,
( ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_233424,c_143]) ).
tcf(c_235877,plain,
( sdtlseqdt0(sK12,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233424,c_275]) ).
tcf(c_235878,plain,
( aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233424,c_172]) ).
tcf(c_235879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_233424,c_162]) ).
tcf(c_235880,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233424,c_158]) ).
tcf(c_235881,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_233424,c_157]) ).
tcf(c_235882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sK12,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233424,c_160]) ).
tcf(c_235883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xn,sK12))
| ( X0 = xn )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233424,c_160]) ).
tcf(c_235884,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_233424,c_167]) ).
tcf(c_235885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,xn))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_233424,c_162]) ).
tcf(c_235886,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_233424,c_166]) ).
tcf(c_235887,plain,
aNaturalNumber0(sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_235878,c_104,c_49]) ).
tcf(c_235888,plain,
sdtlseqdt0(sK12,sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_235877,c_104,c_49]) ).
tcf(c_235892,plain,
sdtpldt0(xn,sK12) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235875,c_214266,c_104,c_49]) ).
tcf(c_235893,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235886,c_104,c_49]) ).
tcf(c_235897,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235884,c_104,c_49]) ).
tcf(c_235901,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235881,c_104,c_49]) ).
tcf(c_235906,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235880,c_104,c_49]) ).
tcf(c_235911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,xn))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235885,c_104,c_49]) ).
tcf(c_235916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xn,sK12))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235883,c_104,c_49]) ).
tcf(c_235921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sK12,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235882,c_104,c_49]) ).
tcf(c_235926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235879,c_104,c_49]) ).
tcf(c_235931,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235872,c_104,c_49]) ).
tcf(c_235938,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235871,c_104,c_49]) ).
tcf(c_235945,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235870,c_104,c_49]) ).
tcf(c_236460,plain,
sdtpldt0(sdtpldt0(xn,sK12),xn) = sdtpldt0(xn,sdtpldt0(xn,sK12)),
inference(superposition,[status(thm)],[c_235887,c_191565]) ).
tcf(c_236461,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sdtasdt0(X1,sdtpldt0(xn,sK12))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_169]) ).
tcf(c_236462,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sdtasdt0(sdtpldt0(xn,sK12),X1)) = sdtasdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_168]) ).
tcf(c_236463,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK12),X0),X1) = sdtasdt0(sdtpldt0(xn,sK12),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_177]) ).
tcf(c_236464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),X0),X1) = sdtpldt0(sdtpldt0(xn,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_170]) ).
tcf(c_236465,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK12),X0) = sdtasdt0(X0,sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_178]) ).
tcf(c_236466,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK12),X0) = sdtpldt0(X0,sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_171]) ).
tcf(c_236467,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK12)) = sdtpldt0(xn,sK12),
inference(superposition,[status(thm)],[c_235887,c_154]) ).
tcf(c_236468,plain,
sdtasdt0(sdtpldt0(xn,sK12),sz10) = sdtpldt0(xn,sK12),
inference(superposition,[status(thm)],[c_235887,c_153]) ).
tcf(c_236469,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK12)) = sdtpldt0(xn,sK12),
inference(superposition,[status(thm)],[c_235887,c_150]) ).
tcf(c_236470,plain,
sdtpldt0(sdtpldt0(xn,sK12),sz00) = sdtpldt0(xn,sK12),
inference(superposition,[status(thm)],[c_235887,c_149]) ).
tcf(c_236471,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK12)) = sz00,
inference(superposition,[status(thm)],[c_235887,c_148]) ).
tcf(c_236472,plain,
sdtasdt0(sdtpldt0(xn,sK12),sz00) = sz00,
inference(superposition,[status(thm)],[c_235887,c_147]) ).
tcf(c_236473,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK12)),xn) = sdtpldt0(xn,sK12),
inference(superposition,[status(thm)],[c_235887,c_190836]) ).
tcf(c_236474,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sdtpldt0(xn,sK12)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235887,c_282]) ).
tcf(c_236494,plain,
( ( sdtpldt0(xn,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),sK12) ),
inference(superposition,[status(thm)],[c_235888,c_194]) ).
tcf(c_236495,plain,
( ( sdtpldt0(sK12,sK19(sK12,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_235888,c_165]) ).
tcf(c_236496,plain,
( iLess0(sK12,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_235888,c_173]) ).
tcf(c_236497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_235888,c_193]) ).
tcf(c_236498,plain,
( iLess0(sK12,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236496,c_104,c_235887]) ).
tcf(c_236501,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236497,c_104,c_235887]) ).
tcf(c_236505,plain,
sdtpldt0(sK12,sK19(sK12,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_236495,c_104,c_235887]) ).
tcf(c_236506,plain,
( ( sdtpldt0(xn,sK12) = sK12 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236494,c_104,c_235887]) ).
tcf(c_236556,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233425,c_65]) ).
tcf(c_236557,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233425,c_63]) ).
tcf(c_236558,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233425,c_67]) ).
tcf(c_236561,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_233425,c_144]) ).
tcf(c_236562,plain,
( ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_233425,c_143]) ).
tcf(c_236563,plain,
( sdtlseqdt0(sK13,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233425,c_275]) ).
tcf(c_236564,plain,
( aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233425,c_172]) ).
tcf(c_236565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_233425,c_162]) ).
tcf(c_236566,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233425,c_158]) ).
tcf(c_236567,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_233425,c_157]) ).
tcf(c_236568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sK13,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233425,c_160]) ).
tcf(c_236569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xn,sK13))
| ( X0 = xn )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233425,c_160]) ).
tcf(c_236570,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_233425,c_167]) ).
tcf(c_236571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,xn))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_233425,c_162]) ).
tcf(c_236572,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_233425,c_166]) ).
tcf(c_236573,plain,
aNaturalNumber0(sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_236564,c_106,c_49]) ).
tcf(c_236574,plain,
sdtlseqdt0(sK13,sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_236563,c_106,c_49]) ).
tcf(c_236578,plain,
sdtpldt0(xn,sK13) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236561,c_214266,c_106,c_49]) ).
tcf(c_236579,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236572,c_106,c_49]) ).
tcf(c_236583,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236570,c_106,c_49]) ).
tcf(c_236587,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236567,c_106,c_49]) ).
tcf(c_236592,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236566,c_106,c_49]) ).
tcf(c_236597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,xn))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236571,c_106,c_49]) ).
tcf(c_236602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xn,sK13))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236569,c_106,c_49]) ).
tcf(c_236607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sK13,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236568,c_106,c_49]) ).
tcf(c_236612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236565,c_106,c_49]) ).
tcf(c_236617,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236558,c_106,c_49]) ).
tcf(c_236624,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236557,c_106,c_49]) ).
tcf(c_236631,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236556,c_106,c_49]) ).
tcf(c_236638,plain,
sdtpldt0(sdtpldt0(xn,sK13),xn) = sdtpldt0(xn,sdtpldt0(xn,sK13)),
inference(superposition,[status(thm)],[c_236573,c_191565]) ).
tcf(c_236639,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sdtasdt0(X1,sdtpldt0(xn,sK13))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_169]) ).
tcf(c_236640,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sdtasdt0(sdtpldt0(xn,sK13),X1)) = sdtasdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_168]) ).
tcf(c_236641,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK13),X0),X1) = sdtasdt0(sdtpldt0(xn,sK13),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_177]) ).
tcf(c_236642,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),X0),X1) = sdtpldt0(sdtpldt0(xn,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_170]) ).
tcf(c_236643,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK13),X0) = sdtasdt0(X0,sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_178]) ).
tcf(c_236644,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK13),X0) = sdtpldt0(X0,sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_171]) ).
tcf(c_236645,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK13)) = sdtpldt0(xn,sK13),
inference(superposition,[status(thm)],[c_236573,c_154]) ).
tcf(c_236646,plain,
sdtasdt0(sdtpldt0(xn,sK13),sz10) = sdtpldt0(xn,sK13),
inference(superposition,[status(thm)],[c_236573,c_153]) ).
tcf(c_236647,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK13)) = sdtpldt0(xn,sK13),
inference(superposition,[status(thm)],[c_236573,c_150]) ).
tcf(c_236648,plain,
sdtpldt0(sdtpldt0(xn,sK13),sz00) = sdtpldt0(xn,sK13),
inference(superposition,[status(thm)],[c_236573,c_149]) ).
tcf(c_236649,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK13)) = sz00,
inference(superposition,[status(thm)],[c_236573,c_148]) ).
tcf(c_236650,plain,
sdtasdt0(sdtpldt0(xn,sK13),sz00) = sz00,
inference(superposition,[status(thm)],[c_236573,c_147]) ).
tcf(c_236651,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK13)),xn) = sdtpldt0(xn,sK13),
inference(superposition,[status(thm)],[c_236573,c_190836]) ).
tcf(c_236652,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sdtpldt0(xn,sK13)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236573,c_282]) ).
tcf(c_236672,plain,
( ( sdtpldt0(xn,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),sK13) ),
inference(superposition,[status(thm)],[c_236574,c_194]) ).
tcf(c_236673,plain,
( ( sdtpldt0(sK13,sK19(sK13,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236574,c_165]) ).
tcf(c_236674,plain,
( iLess0(sK13,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236574,c_173]) ).
tcf(c_236675,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236574,c_193]) ).
tcf(c_236676,plain,
( iLess0(sK13,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236674,c_106,c_236573]) ).
tcf(c_236679,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236675,c_106,c_236573]) ).
tcf(c_236683,plain,
sdtpldt0(sK13,sK19(sK13,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_236673,c_106,c_236573]) ).
tcf(c_236684,plain,
( ( sdtpldt0(xn,sK13) = sK13 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236672,c_106,c_236573]) ).
tcf(c_236687,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233426,c_65]) ).
tcf(c_236688,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233426,c_63]) ).
tcf(c_236689,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233426,c_67]) ).
tcf(c_236692,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_233426,c_144]) ).
tcf(c_236693,plain,
( ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_233426,c_143]) ).
tcf(c_236694,plain,
( sdtlseqdt0(sK14,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233426,c_275]) ).
tcf(c_236695,plain,
( aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233426,c_172]) ).
tcf(c_236696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_233426,c_162]) ).
tcf(c_236697,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233426,c_158]) ).
tcf(c_236698,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_233426,c_157]) ).
tcf(c_236699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sK14,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233426,c_160]) ).
tcf(c_236700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xn,sK14))
| ( X0 = xn )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233426,c_160]) ).
tcf(c_236701,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_233426,c_167]) ).
tcf(c_236702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,xn))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_233426,c_162]) ).
tcf(c_236703,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_233426,c_166]) ).
tcf(c_236704,plain,
aNaturalNumber0(sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_236695,c_110,c_49]) ).
tcf(c_236705,plain,
sdtlseqdt0(sK14,sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_236694,c_110,c_49]) ).
tcf(c_236709,plain,
sdtpldt0(xn,sK14) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236692,c_214266,c_110,c_49]) ).
tcf(c_236710,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236703,c_110,c_49]) ).
tcf(c_236714,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236701,c_110,c_49]) ).
tcf(c_236718,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236698,c_110,c_49]) ).
tcf(c_236723,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236697,c_110,c_49]) ).
tcf(c_236728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,xn))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236702,c_110,c_49]) ).
tcf(c_236733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xn,sK14))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236700,c_110,c_49]) ).
tcf(c_236738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sK14,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236699,c_110,c_49]) ).
tcf(c_236743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236696,c_110,c_49]) ).
tcf(c_236748,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236689,c_110,c_49]) ).
tcf(c_236755,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236688,c_110,c_49]) ).
tcf(c_236762,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236687,c_110,c_49]) ).
tcf(c_236769,plain,
sdtpldt0(sdtpldt0(xn,sK14),xn) = sdtpldt0(xn,sdtpldt0(xn,sK14)),
inference(superposition,[status(thm)],[c_236704,c_191565]) ).
tcf(c_236770,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sdtasdt0(X1,sdtpldt0(xn,sK14))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_169]) ).
tcf(c_236771,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sdtasdt0(sdtpldt0(xn,sK14),X1)) = sdtasdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_168]) ).
tcf(c_236772,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK14),X0),X1) = sdtasdt0(sdtpldt0(xn,sK14),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_177]) ).
tcf(c_236773,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),X0),X1) = sdtpldt0(sdtpldt0(xn,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_170]) ).
tcf(c_236774,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK14),X0) = sdtasdt0(X0,sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_178]) ).
tcf(c_236775,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK14),X0) = sdtpldt0(X0,sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_171]) ).
tcf(c_236776,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK14)) = sdtpldt0(xn,sK14),
inference(superposition,[status(thm)],[c_236704,c_154]) ).
tcf(c_236777,plain,
sdtasdt0(sdtpldt0(xn,sK14),sz10) = sdtpldt0(xn,sK14),
inference(superposition,[status(thm)],[c_236704,c_153]) ).
tcf(c_236778,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK14)) = sdtpldt0(xn,sK14),
inference(superposition,[status(thm)],[c_236704,c_150]) ).
tcf(c_236779,plain,
sdtpldt0(sdtpldt0(xn,sK14),sz00) = sdtpldt0(xn,sK14),
inference(superposition,[status(thm)],[c_236704,c_149]) ).
tcf(c_236780,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK14)) = sz00,
inference(superposition,[status(thm)],[c_236704,c_148]) ).
tcf(c_236781,plain,
sdtasdt0(sdtpldt0(xn,sK14),sz00) = sz00,
inference(superposition,[status(thm)],[c_236704,c_147]) ).
tcf(c_236782,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK14)),xn) = sdtpldt0(xn,sK14),
inference(superposition,[status(thm)],[c_236704,c_190836]) ).
tcf(c_236783,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sdtpldt0(xn,sK14)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236704,c_282]) ).
tcf(c_236838,plain,
( ( sdtpldt0(xn,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),sK14) ),
inference(superposition,[status(thm)],[c_236705,c_194]) ).
tcf(c_236839,plain,
( ( sdtpldt0(sK14,sK19(sK14,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236705,c_165]) ).
tcf(c_236840,plain,
( iLess0(sK14,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236705,c_173]) ).
tcf(c_236841,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236705,c_193]) ).
tcf(c_236842,plain,
( iLess0(sK14,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236840,c_110,c_236704]) ).
tcf(c_236845,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236841,c_110,c_236704]) ).
tcf(c_236849,plain,
sdtpldt0(sK14,sK19(sK14,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_236839,c_110,c_236704]) ).
tcf(c_236850,plain,
( ( sdtpldt0(xn,sK14) = sK14 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236838,c_110,c_236704]) ).
tcf(c_236853,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233429,c_65]) ).
tcf(c_236854,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233429,c_63]) ).
tcf(c_236855,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233429,c_67]) ).
tcf(c_236858,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_233429,c_144]) ).
tcf(c_236859,plain,
( ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_233429,c_143]) ).
tcf(c_236860,plain,
( sdtlseqdt0(sK17,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233429,c_275]) ).
tcf(c_236861,plain,
( aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233429,c_172]) ).
tcf(c_236862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_233429,c_162]) ).
tcf(c_236863,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233429,c_158]) ).
tcf(c_236864,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_233429,c_157]) ).
tcf(c_236865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sK17,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233429,c_160]) ).
tcf(c_236866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xn,sK17))
| ( X0 = xn )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233429,c_160]) ).
tcf(c_236867,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_233429,c_167]) ).
tcf(c_236868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,xn))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_233429,c_162]) ).
tcf(c_236869,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_233429,c_166]) ).
tcf(c_236870,plain,
aNaturalNumber0(sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_236861,c_119,c_49]) ).
tcf(c_236871,plain,
sdtlseqdt0(sK17,sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_236860,c_119,c_49]) ).
tcf(c_236875,plain,
sdtpldt0(xn,sK17) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236858,c_214266,c_119,c_49]) ).
tcf(c_236876,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236869,c_119,c_49]) ).
tcf(c_236880,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236867,c_119,c_49]) ).
tcf(c_236884,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236864,c_119,c_49]) ).
tcf(c_236889,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236863,c_119,c_49]) ).
tcf(c_236894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,xn))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236868,c_119,c_49]) ).
tcf(c_236899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xn,sK17))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236866,c_119,c_49]) ).
tcf(c_236904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sK17,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236865,c_119,c_49]) ).
tcf(c_236909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236862,c_119,c_49]) ).
tcf(c_236914,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236855,c_119,c_49]) ).
tcf(c_236921,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236854,c_119,c_49]) ).
tcf(c_236928,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236853,c_119,c_49]) ).
tcf(c_236935,plain,
sdtpldt0(sdtpldt0(xn,sK17),xn) = sdtpldt0(xn,sdtpldt0(xn,sK17)),
inference(superposition,[status(thm)],[c_236870,c_191565]) ).
tcf(c_236936,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sdtasdt0(X1,sdtpldt0(xn,sK17))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_169]) ).
tcf(c_236937,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sdtasdt0(sdtpldt0(xn,sK17),X1)) = sdtasdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_168]) ).
tcf(c_236938,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK17),X0),X1) = sdtasdt0(sdtpldt0(xn,sK17),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_177]) ).
tcf(c_236939,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),X0),X1) = sdtpldt0(sdtpldt0(xn,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_170]) ).
tcf(c_236940,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK17),X0) = sdtasdt0(X0,sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_178]) ).
tcf(c_236941,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK17),X0) = sdtpldt0(X0,sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_171]) ).
tcf(c_236942,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK17)) = sdtpldt0(xn,sK17),
inference(superposition,[status(thm)],[c_236870,c_154]) ).
tcf(c_236943,plain,
sdtasdt0(sdtpldt0(xn,sK17),sz10) = sdtpldt0(xn,sK17),
inference(superposition,[status(thm)],[c_236870,c_153]) ).
tcf(c_236944,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK17)) = sdtpldt0(xn,sK17),
inference(superposition,[status(thm)],[c_236870,c_150]) ).
tcf(c_236945,plain,
sdtpldt0(sdtpldt0(xn,sK17),sz00) = sdtpldt0(xn,sK17),
inference(superposition,[status(thm)],[c_236870,c_149]) ).
tcf(c_236946,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK17)) = sz00,
inference(superposition,[status(thm)],[c_236870,c_148]) ).
tcf(c_236947,plain,
sdtasdt0(sdtpldt0(xn,sK17),sz00) = sz00,
inference(superposition,[status(thm)],[c_236870,c_147]) ).
tcf(c_236948,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK17)),xn) = sdtpldt0(xn,sK17),
inference(superposition,[status(thm)],[c_236870,c_190836]) ).
tcf(c_236949,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sdtpldt0(xn,sK17)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236870,c_282]) ).
tcf(c_236969,plain,
( ( sdtpldt0(xn,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),sK17) ),
inference(superposition,[status(thm)],[c_236871,c_194]) ).
tcf(c_236970,plain,
( ( sdtpldt0(sK17,sK19(sK17,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236871,c_165]) ).
tcf(c_236971,plain,
( iLess0(sK17,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236871,c_173]) ).
tcf(c_236972,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236871,c_193]) ).
tcf(c_236973,plain,
( iLess0(sK17,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236971,c_119,c_236870]) ).
tcf(c_236976,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236972,c_119,c_236870]) ).
tcf(c_236980,plain,
sdtpldt0(sK17,sK19(sK17,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_236970,c_119,c_236870]) ).
tcf(c_236981,plain,
( ( sdtpldt0(xn,sK17) = sK17 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236969,c_119,c_236870]) ).
tcf(c_237020,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_64]) ).
tcf(c_237021,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_62]) ).
tcf(c_237022,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_66]) ).
tcf(c_237030,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_64]) ).
tcf(c_237031,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_62]) ).
tcf(c_237032,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_66]) ).
tcf(c_237033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK10,sK10)),sK10)
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_195800,c_141]) ).
tcf(c_237035,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sdtsldt0(sK10,sK10)))
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_195800,c_141]) ).
tcf(c_237036,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_145]) ).
tcf(c_237037,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ sdtlseqdt0(sdtsldt0(sK10,sK10),X0) ),
inference(superposition,[status(thm)],[c_195800,c_139]) ).
tcf(c_237038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK10,sK10)) ),
inference(superposition,[status(thm)],[c_195800,c_139]) ).
tcf(c_237039,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ( sdtasdt0(X0,sdtsldt0(sK10,sK10)) != sK10 ) ),
inference(superposition,[status(thm)],[c_195800,c_146]) ).
tcf(c_237040,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ( sdtasdt0(sK10,X0) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237036,c_85]) ).
tcf(c_237046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sK10)
| ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ sdtlseqdt0(X0,sdtsldt0(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237038,c_85]) ).
tcf(c_237053,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sdtsldt0(sK10,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ sdtlseqdt0(sdtsldt0(sK10,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237037,c_85]) ).
tcf(c_237060,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ( sdtasdt0(X0,sdtsldt0(sK10,sK10)) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237039,c_85]) ).
tcf(c_237067,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,sdtasdt0(X0,sdtsldt0(sK10,sK10)))
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237035,c_85]) ).
tcf(c_237075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK10,sK10)),sK10)
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sK10,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237033,c_85]) ).
tcf(c_237083,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237032,c_85]) ).
tcf(c_237093,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237031,c_85]) ).
tcf(c_237103,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237022,c_85]) ).
tcf(c_237113,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237030,c_85]) ).
tcf(c_237123,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237021,c_85]) ).
tcf(c_237133,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK10,sK10),X0)
| ( sz00 = sK10 )
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK10,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sK10,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237020,c_85]) ).
tcf(c_237190,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233431,c_65]) ).
tcf(c_237191,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233431,c_63]) ).
tcf(c_237192,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(xn,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233431,c_67]) ).
tcf(c_237195,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_233431,c_144]) ).
tcf(c_237196,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_233431,c_143]) ).
tcf(c_237197,plain,
( sdtlseqdt0(sK18,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233431,c_275]) ).
tcf(c_237198,plain,
( aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233431,c_172]) ).
tcf(c_237199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_233431,c_162]) ).
tcf(c_237200,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233431,c_158]) ).
tcf(c_237201,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_233431,c_157]) ).
tcf(c_237202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sK18,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233431,c_160]) ).
tcf(c_237203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xn,sK18))
| ( X0 = xn )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233431,c_160]) ).
tcf(c_237204,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_233431,c_167]) ).
tcf(c_237205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,xn))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_233431,c_162]) ).
tcf(c_237206,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_233431,c_166]) ).
tcf(c_237207,plain,
aNaturalNumber0(sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_237198,c_127,c_49]) ).
tcf(c_237208,plain,
sdtlseqdt0(sK18,sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_237197,c_127,c_49]) ).
tcf(c_237212,plain,
sdtpldt0(xn,sK18) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237195,c_214266,c_127,c_49]) ).
tcf(c_237213,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237206,c_127,c_49]) ).
tcf(c_237217,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237204,c_127,c_49]) ).
tcf(c_237221,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237201,c_127,c_49]) ).
tcf(c_237226,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237200,c_127,c_49]) ).
tcf(c_237231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,xn))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237205,c_127,c_49]) ).
tcf(c_237236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xn,sK18))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237203,c_127,c_49]) ).
tcf(c_237241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sK18,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237202,c_127,c_49]) ).
tcf(c_237246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237199,c_127,c_49]) ).
tcf(c_237251,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237192,c_127,c_49]) ).
tcf(c_237258,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237191,c_127,c_49]) ).
tcf(c_237265,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237190,c_127,c_49]) ).
tcf(c_237272,plain,
sdtpldt0(sdtpldt0(xn,sK18),xn) = sdtpldt0(xn,sdtpldt0(xn,sK18)),
inference(superposition,[status(thm)],[c_237207,c_191565]) ).
tcf(c_237273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sdtasdt0(X1,sdtpldt0(xn,sK18))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_169]) ).
tcf(c_237274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sdtasdt0(sdtpldt0(xn,sK18),X1)) = sdtasdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_168]) ).
tcf(c_237275,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK18),X0),X1) = sdtasdt0(sdtpldt0(xn,sK18),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_177]) ).
tcf(c_237276,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),X0),X1) = sdtpldt0(sdtpldt0(xn,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_170]) ).
tcf(c_237277,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK18),X0) = sdtasdt0(X0,sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_178]) ).
tcf(c_237278,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK18),X0) = sdtpldt0(X0,sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_171]) ).
tcf(c_237279,plain,
sdtasdt0(sz10,sdtpldt0(xn,sK18)) = sdtpldt0(xn,sK18),
inference(superposition,[status(thm)],[c_237207,c_154]) ).
tcf(c_237280,plain,
sdtasdt0(sdtpldt0(xn,sK18),sz10) = sdtpldt0(xn,sK18),
inference(superposition,[status(thm)],[c_237207,c_153]) ).
tcf(c_237281,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK18)) = sdtpldt0(xn,sK18),
inference(superposition,[status(thm)],[c_237207,c_150]) ).
tcf(c_237282,plain,
sdtpldt0(sdtpldt0(xn,sK18),sz00) = sdtpldt0(xn,sK18),
inference(superposition,[status(thm)],[c_237207,c_149]) ).
tcf(c_237283,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK18)) = sz00,
inference(superposition,[status(thm)],[c_237207,c_148]) ).
tcf(c_237284,plain,
sdtasdt0(sdtpldt0(xn,sK18),sz00) = sz00,
inference(superposition,[status(thm)],[c_237207,c_147]) ).
tcf(c_237285,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sK18)),xn) = sdtpldt0(xn,sK18),
inference(superposition,[status(thm)],[c_237207,c_190836]) ).
tcf(c_237286,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sdtpldt0(xn,sK18)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237207,c_282]) ).
tcf(c_237329,plain,
( ( sdtpldt0(xn,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),sK18) ),
inference(superposition,[status(thm)],[c_237208,c_194]) ).
tcf(c_237330,plain,
( ( sdtpldt0(sK18,sK19(sK18,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237208,c_165]) ).
tcf(c_237331,plain,
( iLess0(sK18,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237208,c_173]) ).
tcf(c_237332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237208,c_193]) ).
tcf(c_237333,plain,
( iLess0(sK18,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237331,c_127,c_237207]) ).
tcf(c_237336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237332,c_127,c_237207]) ).
tcf(c_237340,plain,
sdtpldt0(sK18,sK19(sK18,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_237330,c_127,c_237207]) ).
tcf(c_237341,plain,
( ( sdtpldt0(xn,sK18) = sK18 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237329,c_127,c_237207]) ).
tcf(c_237344,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233433,c_65]) ).
tcf(c_237345,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233433,c_63]) ).
tcf(c_237346,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_233433,c_67]) ).
tcf(c_237350,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_233433,c_143]) ).
tcf(c_237351,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233433,c_275]) ).
tcf(c_237352,plain,
( aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_233433,c_172]) ).
tcf(c_237353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_233433,c_162]) ).
tcf(c_237354,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_233433,c_158]) ).
tcf(c_237355,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_233433,c_157]) ).
tcf(c_237356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_233433,c_160]) ).
tcf(c_237357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtpldt0(xn,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_233433,c_160]) ).
tcf(c_237358,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_233433,c_167]) ).
tcf(c_237359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_233433,c_162]) ).
tcf(c_237360,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_233433,c_166]) ).
tcf(c_237361,plain,
aNaturalNumber0(sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_237352,c_155,c_49]) ).
tcf(c_237362,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_237351,c_155,c_49]) ).
tcf(c_237363,plain,
sdtpldt0(xn,sz10) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237350,c_156,c_155,c_49]) ).
tcf(c_237364,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237360,c_155,c_49]) ).
tcf(c_237368,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237358,c_155,c_49]) ).
tcf(c_237372,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237355,c_155,c_49]) ).
tcf(c_237377,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237354,c_155,c_49]) ).
tcf(c_237382,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237359,c_155,c_49]) ).
tcf(c_237387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtpldt0(xn,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237357,c_155,c_49]) ).
tcf(c_237392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237356,c_155,c_49]) ).
tcf(c_237397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237353,c_155,c_49]) ).
tcf(c_237402,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xn,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_237346,c_191075]) ).
tcf(c_237403,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237402,c_155,c_49]) ).
tcf(c_237410,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_237345,c_191075]) ).
tcf(c_237411,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237410,c_155,c_49]) ).
tcf(c_237418,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_237344,c_191075]) ).
tcf(c_237419,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237418,c_155,c_49]) ).
tcf(c_237426,plain,
sdtpldt0(sdtpldt0(xn,sz10),xn) = sdtpldt0(xn,sdtpldt0(xn,sz10)),
inference(superposition,[status(thm)],[c_237361,c_191565]) ).
tcf(c_237427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sdtasdt0(X1,sdtpldt0(xn,sz10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_169]) ).
tcf(c_237428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sdtasdt0(sdtpldt0(xn,sz10),X1)) = sdtasdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_168]) ).
tcf(c_237429,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sz10),X0),X1) = sdtasdt0(sdtpldt0(xn,sz10),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_177]) ).
tcf(c_237430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),X0),X1) = sdtpldt0(sdtpldt0(xn,sz10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_170]) ).
tcf(c_237431,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sz10),X0) = sdtasdt0(X0,sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_178]) ).
tcf(c_237432,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sz10),X0) = sdtpldt0(X0,sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_171]) ).
tcf(c_237433,plain,
sdtasdt0(sz10,sdtpldt0(xn,sz10)) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_237361,c_154]) ).
tcf(c_237434,plain,
sdtasdt0(sdtpldt0(xn,sz10),sz10) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_237361,c_153]) ).
tcf(c_237435,plain,
sdtpldt0(sz00,sdtpldt0(xn,sz10)) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_237361,c_150]) ).
tcf(c_237436,plain,
sdtpldt0(sdtpldt0(xn,sz10),sz00) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_237361,c_149]) ).
tcf(c_237437,plain,
sdtasdt0(sz00,sdtpldt0(xn,sz10)) = sz00,
inference(superposition,[status(thm)],[c_237361,c_148]) ).
tcf(c_237438,plain,
sdtasdt0(sdtpldt0(xn,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_237361,c_147]) ).
tcf(c_237439,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sz10)),xn) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_237361,c_190836]) ).
tcf(c_237440,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sdtpldt0(xn,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237361,c_282]) ).
tcf(c_237530,plain,
( ( sdtpldt0(xn,sz10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),sz10) ),
inference(superposition,[status(thm)],[c_237362,c_194]) ).
tcf(c_237531,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237362,c_165]) ).
tcf(c_237532,plain,
( iLess0(sz10,sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237362,c_173]) ).
tcf(c_237533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237362,c_193]) ).
tcf(c_237534,plain,
( iLess0(sz10,sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237532,c_155,c_237361]) ).
tcf(c_237537,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237533,c_155,c_237361]) ).
tcf(c_237541,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_237531,c_155,c_237361]) ).
tcf(c_237542,plain,
( ( sdtpldt0(xn,sz10) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237530,c_155,c_237361]) ).
tcf(c_237545,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK9,xp),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234242,c_65]) ).
tcf(c_237546,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK19(sK9,xp),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234242,c_63]) ).
tcf(c_237547,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK19(sK9,xp),X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234242,c_67]) ).
tcf(c_237554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK9,xp)),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(superposition,[status(thm)],[c_234242,c_162]) ).
tcf(c_237555,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sK19(sK9,xp)) ),
inference(superposition,[status(thm)],[c_234242,c_158]) ).
tcf(c_237556,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK9,xp))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(superposition,[status(thm)],[c_234242,c_157]) ).
tcf(c_237557,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK9,X0))
| ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ sdtlseqdt0(sK19(sK9,xp),X0) ),
inference(superposition,[status(thm)],[c_234242,c_160]) ).
tcf(c_237558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),xp)
| ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ sdtlseqdt0(X0,sK19(sK9,xp)) ),
inference(superposition,[status(thm)],[c_234242,c_160]) ).
tcf(c_237559,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ( sdtpldt0(X0,sK19(sK9,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_234242,c_167]) ).
tcf(c_237560,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sK9,xp)))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(superposition,[status(thm)],[c_234242,c_162]) ).
tcf(c_237561,plain,
! [X0: $i] :
( ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ( sdtpldt0(sK9,X0) != xp ) ),
inference(superposition,[status(thm)],[c_234242,c_166]) ).
tcf(c_237562,plain,
! [X0: $i] :
( ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ( sdtpldt0(sK9,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237561,c_81]) ).
tcf(c_237567,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ( sdtpldt0(X0,sK19(sK9,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237559,c_81]) ).
tcf(c_237572,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK9,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237556,c_81]) ).
tcf(c_237578,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sK19(sK9,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237555,c_81]) ).
tcf(c_237584,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sK9,xp)))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237560,c_81]) ).
tcf(c_237590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK9,xp)),xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sK19(sK9,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237554,c_81]) ).
tcf(c_237596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),xp)
| ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ sdtlseqdt0(X0,sK19(sK9,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237558,c_81]) ).
tcf(c_237602,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK9,X0))
| ( sK19(sK9,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ sdtlseqdt0(sK19(sK9,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237557,c_81]) ).
tcf(c_237608,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sK19(sK9,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237547,c_81]) ).
tcf(c_237616,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sK19(sK9,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237546,c_81]) ).
tcf(c_237624,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK9,xp),X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK9,xp))
| ~ doDivides0(X0,sdtasdt0(sK9,sK19(sK9,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237545,c_81]) ).
tcf(c_237639,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_64]) ).
tcf(c_237640,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_62]) ).
tcf(c_237641,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_66]) ).
tcf(c_237649,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_64]) ).
tcf(c_237650,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_62]) ).
tcf(c_237651,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_66]) ).
tcf(c_237652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234402,c_141]) ).
tcf(c_237654,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234402,c_141]) ).
tcf(c_237658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_234402,c_146]) ).
tcf(c_237659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237658,c_234282,c_151,c_234277]) ).
tcf(c_237663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237654,c_234282,c_151,c_234277]) ).
tcf(c_237668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237652,c_234282,c_151,c_234277]) ).
tcf(c_237675,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237641,c_234400]) ).
tcf(c_237676,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237675,c_151,c_234277]) ).
tcf(c_237685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237640,c_234400]) ).
tcf(c_237686,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237685,c_151,c_234277]) ).
tcf(c_237694,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237639,c_234400]) ).
tcf(c_237695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237694,c_151,c_234277]) ).
tcf(c_237703,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_64]) ).
tcf(c_237704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_62]) ).
tcf(c_237705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_66]) ).
tcf(c_237711,plain,
( doDivides0(sdtpldt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234403,c_272]) ).
tcf(c_237713,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),sK7(X0,sdtpldt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_64]) ).
tcf(c_237714,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_62]) ).
tcf(c_237715,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| doDivides0(sdtpldt0(xn,xm),X0)
| sP1(X1,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_66]) ).
tcf(c_237719,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_234403,c_145]) ).
tcf(c_237720,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234403,c_139]) ).
tcf(c_237721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234403,c_139]) ).
tcf(c_237723,plain,
doDivides0(sdtpldt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_237711,c_151,c_234277]) ).
tcf(c_237724,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237719,c_234282,c_151,c_234277]) ).
tcf(c_237728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237721,c_234282,c_151,c_234277]) ).
tcf(c_237733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237720,c_234282,c_151,c_234277]) ).
tcf(c_237738,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237705,c_234401]) ).
tcf(c_237739,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237738,c_151,c_234277]) ).
tcf(c_237747,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237704,c_234401]) ).
tcf(c_237748,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237747,c_151,c_234277]) ).
tcf(c_237756,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| doDivides0(sdtpldt0(xn,xm),X0)
| sP1(X1,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237715,c_151,c_234277]) ).
tcf(c_237764,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237714,c_151,c_234277]) ).
tcf(c_237772,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237703,c_234401]) ).
tcf(c_237773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237772,c_151,c_234277]) ).
tcf(c_237781,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),sK7(X0,sdtpldt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237713,c_151,c_234277]) ).
tcf(c_237789,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_237723,c_196]) ).
tcf(c_237790,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_237723,c_199]) ).
tcf(c_237792,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_237723,c_180]) ).
tcf(c_237793,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_237723,c_176]) ).
tcf(c_237795,plain,
sdtasdt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237793,c_151,c_234277]) ).
tcf(c_237796,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237792,c_151,c_234277]) ).
tcf(c_237800,plain,
sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237790,c_234282,c_151,c_234277]) ).
tcf(c_237801,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237789,c_234282,c_151,c_234277]) ).
tcf(c_237827,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_64]) ).
tcf(c_237828,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_62]) ).
tcf(c_237829,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_66]) ).
tcf(c_237837,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_64]) ).
tcf(c_237838,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_62]) ).
tcf(c_237839,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_66]) ).
tcf(c_237840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234534,c_141]) ).
tcf(c_237842,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234534,c_141]) ).
tcf(c_237846,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_234534,c_146]) ).
tcf(c_237847,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237846,c_234463,c_151,c_234461]) ).
tcf(c_237851,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237842,c_234463,c_151,c_234461]) ).
tcf(c_237856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237840,c_234463,c_151,c_234461]) ).
tcf(c_237863,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237829,c_234532]) ).
tcf(c_237864,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237863,c_151,c_234461]) ).
tcf(c_237873,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237828,c_234532]) ).
tcf(c_237874,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237873,c_151,c_234461]) ).
tcf(c_237882,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237827,c_234532]) ).
tcf(c_237883,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237882,c_151,c_234461]) ).
tcf(c_237891,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_64]) ).
tcf(c_237892,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_62]) ).
tcf(c_237893,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_66]) ).
tcf(c_237899,plain,
( doDivides0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234535,c_272]) ).
tcf(c_237901,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),sK7(X0,sdtpldt0(xn,xp))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_64]) ).
tcf(c_237902,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_62]) ).
tcf(c_237903,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| doDivides0(sdtpldt0(xn,xp),X0)
| sP1(X1,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_66]) ).
tcf(c_237907,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_234535,c_145]) ).
tcf(c_237908,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234535,c_139]) ).
tcf(c_237909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234535,c_139]) ).
tcf(c_237911,plain,
doDivides0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_237899,c_151,c_234461]) ).
tcf(c_237912,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237907,c_234463,c_151,c_234461]) ).
tcf(c_237916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237909,c_234463,c_151,c_234461]) ).
tcf(c_237921,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237908,c_234463,c_151,c_234461]) ).
tcf(c_237926,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237893,c_234533]) ).
tcf(c_237927,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237926,c_151,c_234461]) ).
tcf(c_237935,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237892,c_234533]) ).
tcf(c_237936,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237935,c_151,c_234461]) ).
tcf(c_237944,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| doDivides0(sdtpldt0(xn,xp),X0)
| sP1(X1,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237903,c_151,c_234461]) ).
tcf(c_237952,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237902,c_151,c_234461]) ).
tcf(c_237960,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_237891,c_234533]) ).
tcf(c_237961,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237960,c_151,c_234461]) ).
tcf(c_237969,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),sK7(X0,sdtpldt0(xn,xp))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237901,c_151,c_234461]) ).
tcf(c_238024,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_237911,c_196]) ).
tcf(c_238025,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_237911,c_199]) ).
tcf(c_238027,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_237911,c_180]) ).
tcf(c_238028,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK20(sdtpldt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_237911,c_176]) ).
tcf(c_238030,plain,
sdtasdt0(sdtpldt0(xn,xp),sK20(sdtpldt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238028,c_151,c_234461]) ).
tcf(c_238031,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238027,c_151,c_234461]) ).
tcf(c_238035,plain,
sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238025,c_234463,c_151,c_234461]) ).
tcf(c_238036,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238024,c_234463,c_151,c_234461]) ).
tcf(c_238043,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_64]) ).
tcf(c_238044,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_62]) ).
tcf(c_238045,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_66]) ).
tcf(c_238053,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_64]) ).
tcf(c_238054,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_62]) ).
tcf(c_238055,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_66]) ).
tcf(c_238056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK9,sK9)),sK9)
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_195803,c_141]) ).
tcf(c_238058,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sdtsldt0(sK9,sK9)))
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_195803,c_141]) ).
tcf(c_238059,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_145]) ).
tcf(c_238060,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ sdtlseqdt0(sdtsldt0(sK9,sK9),X0) ),
inference(superposition,[status(thm)],[c_195803,c_139]) ).
tcf(c_238061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ sdtlseqdt0(X0,sdtsldt0(sK9,sK9)) ),
inference(superposition,[status(thm)],[c_195803,c_139]) ).
tcf(c_238062,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ( sdtasdt0(X0,sdtsldt0(sK9,sK9)) != sK9 ) ),
inference(superposition,[status(thm)],[c_195803,c_146]) ).
tcf(c_238063,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ( sdtasdt0(sK9,X0) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238059,c_81]) ).
tcf(c_238069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sK9)
| ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ sdtlseqdt0(X0,sdtsldt0(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238061,c_81]) ).
tcf(c_238076,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sdtsldt0(sK9,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ sdtlseqdt0(sdtsldt0(sK9,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238060,c_81]) ).
tcf(c_238083,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ( sdtasdt0(X0,sdtsldt0(sK9,sK9)) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238062,c_81]) ).
tcf(c_238090,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,sdtasdt0(X0,sdtsldt0(sK9,sK9)))
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238058,c_81]) ).
tcf(c_238098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK9,sK9)),sK9)
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sK9,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238056,c_81]) ).
tcf(c_238106,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238055,c_81]) ).
tcf(c_238116,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238054,c_81]) ).
tcf(c_238126,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238045,c_81]) ).
tcf(c_238136,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238053,c_81]) ).
tcf(c_238146,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238044,c_81]) ).
tcf(c_238156,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK9,sK9),X0)
| ( sz00 = sK9 )
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK9,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sK9,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238043,c_81]) ).
tcf(c_238166,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_64]) ).
tcf(c_238167,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_62]) ).
tcf(c_238168,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_66]) ).
tcf(c_238176,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_64]) ).
tcf(c_238177,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_62]) ).
tcf(c_238178,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_66]) ).
tcf(c_238179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234712,c_141]) ).
tcf(c_238181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234712,c_141]) ).
tcf(c_238185,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(X0,sdtpldt0(xn,sK8)) != sz00 ) ),
inference(superposition,[status(thm)],[c_234712,c_146]) ).
tcf(c_238186,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK8)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238185,c_234641,c_151,c_234636]) ).
tcf(c_238190,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238181,c_234641,c_151,c_234636]) ).
tcf(c_238195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238179,c_234641,c_151,c_234636]) ).
tcf(c_238202,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238168,c_234710]) ).
tcf(c_238203,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238202,c_151,c_234636]) ).
tcf(c_238212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238167,c_234710]) ).
tcf(c_238213,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238212,c_151,c_234636]) ).
tcf(c_238221,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238166,c_234710]) ).
tcf(c_238222,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238221,c_151,c_234636]) ).
tcf(c_238230,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_64]) ).
tcf(c_238231,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_62]) ).
tcf(c_238232,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_66]) ).
tcf(c_238238,plain,
( doDivides0(sdtpldt0(xn,sK8),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234713,c_272]) ).
tcf(c_238240,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),sK7(X0,sdtpldt0(xn,sK8))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_64]) ).
tcf(c_238241,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK8)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_62]) ).
tcf(c_238242,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| doDivides0(sdtpldt0(xn,sK8),X0)
| sP1(X1,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_66]) ).
tcf(c_238246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_234713,c_145]) ).
tcf(c_238247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234713,c_139]) ).
tcf(c_238248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234713,c_139]) ).
tcf(c_238250,plain,
doDivides0(sdtpldt0(xn,sK8),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_238238,c_151,c_234636]) ).
tcf(c_238251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK8),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238246,c_234641,c_151,c_234636]) ).
tcf(c_238255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238248,c_234641,c_151,c_234636]) ).
tcf(c_238260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238247,c_234641,c_151,c_234636]) ).
tcf(c_238265,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238232,c_234711]) ).
tcf(c_238266,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238265,c_151,c_234636]) ).
tcf(c_238274,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238231,c_234711]) ).
tcf(c_238275,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238274,c_151,c_234636]) ).
tcf(c_238283,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| doDivides0(sdtpldt0(xn,sK8),X0)
| sP1(X1,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238242,c_151,c_234636]) ).
tcf(c_238291,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK8)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238241,c_151,c_234636]) ).
tcf(c_238299,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238230,c_234711]) ).
tcf(c_238300,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238299,c_151,c_234636]) ).
tcf(c_238308,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),sK7(X0,sdtpldt0(xn,sK8))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238240,c_151,c_234636]) ).
tcf(c_238316,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_238250,c_196]) ).
tcf(c_238317,plain,
( ( sdtpldt0(xn,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK8),sdtsldt0(sz00,sdtpldt0(xn,sK8))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_238250,c_199]) ).
tcf(c_238319,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_238250,c_180]) ).
tcf(c_238320,plain,
( ( sdtasdt0(sdtpldt0(xn,sK8),sK20(sdtpldt0(xn,sK8),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_238250,c_176]) ).
tcf(c_238322,plain,
sdtasdt0(sdtpldt0(xn,sK8),sK20(sdtpldt0(xn,sK8),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238320,c_151,c_234636]) ).
tcf(c_238323,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238319,c_151,c_234636]) ).
tcf(c_238327,plain,
sdtasdt0(sdtpldt0(xn,sK8),sdtsldt0(sz00,sdtpldt0(xn,sK8))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238317,c_234641,c_151,c_234636]) ).
tcf(c_238328,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238316,c_234641,c_151,c_234636]) ).
tcf(c_238331,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_64]) ).
tcf(c_238332,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_62]) ).
tcf(c_238333,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_66]) ).
tcf(c_238341,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_64]) ).
tcf(c_238342,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_62]) ).
tcf(c_238343,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_66]) ).
tcf(c_238344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235013,c_141]) ).
tcf(c_238346,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235013,c_141]) ).
tcf(c_238350,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(X0,sdtpldt0(xn,sK10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_235013,c_146]) ).
tcf(c_238351,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238350,c_234942,c_151,c_234937]) ).
tcf(c_238355,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238346,c_234942,c_151,c_234937]) ).
tcf(c_238360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238344,c_234942,c_151,c_234937]) ).
tcf(c_238367,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238333,c_235011]) ).
tcf(c_238368,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238367,c_151,c_234937]) ).
tcf(c_238377,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238332,c_235011]) ).
tcf(c_238378,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238377,c_151,c_234937]) ).
tcf(c_238386,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238331,c_235011]) ).
tcf(c_238387,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238386,c_151,c_234937]) ).
tcf(c_238399,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_64]) ).
tcf(c_238400,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_62]) ).
tcf(c_238401,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_66]) ).
tcf(c_238407,plain,
( doDivides0(sdtpldt0(xn,sK10),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235014,c_272]) ).
tcf(c_238409,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),sK7(X0,sdtpldt0(xn,sK10))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_64]) ).
tcf(c_238410,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK10)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_62]) ).
tcf(c_238411,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| doDivides0(sdtpldt0(xn,sK10),X0)
| sP1(X1,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_66]) ).
tcf(c_238415,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_235014,c_145]) ).
tcf(c_238416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235014,c_139]) ).
tcf(c_238417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235014,c_139]) ).
tcf(c_238419,plain,
doDivides0(sdtpldt0(xn,sK10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_238407,c_151,c_234937]) ).
tcf(c_238420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK10),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238415,c_234942,c_151,c_234937]) ).
tcf(c_238424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238417,c_234942,c_151,c_234937]) ).
tcf(c_238429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238416,c_234942,c_151,c_234937]) ).
tcf(c_238434,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238401,c_235012]) ).
tcf(c_238435,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238434,c_151,c_234937]) ).
tcf(c_238443,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238400,c_235012]) ).
tcf(c_238444,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238443,c_151,c_234937]) ).
tcf(c_238452,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| doDivides0(sdtpldt0(xn,sK10),X0)
| sP1(X1,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238411,c_151,c_234937]) ).
tcf(c_238460,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK10)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238410,c_151,c_234937]) ).
tcf(c_238468,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238399,c_235012]) ).
tcf(c_238469,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238468,c_151,c_234937]) ).
tcf(c_238477,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),sK7(X0,sdtpldt0(xn,sK10))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238409,c_151,c_234937]) ).
tcf(c_238561,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_238419,c_196]) ).
tcf(c_238562,plain,
( ( sdtpldt0(xn,sK10) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK10),sdtsldt0(sz00,sdtpldt0(xn,sK10))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_238419,c_199]) ).
tcf(c_238564,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_238419,c_180]) ).
tcf(c_238565,plain,
( ( sdtasdt0(sdtpldt0(xn,sK10),sK20(sdtpldt0(xn,sK10),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_238419,c_176]) ).
tcf(c_238567,plain,
sdtasdt0(sdtpldt0(xn,sK10),sK20(sdtpldt0(xn,sK10),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238565,c_151,c_234937]) ).
tcf(c_238568,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238564,c_151,c_234937]) ).
tcf(c_238572,plain,
sdtasdt0(sdtpldt0(xn,sK10),sdtsldt0(sz00,sdtpldt0(xn,sK10))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238562,c_234942,c_151,c_234937]) ).
tcf(c_238573,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238561,c_234942,c_151,c_234937]) ).
tcf(c_238581,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_64]) ).
tcf(c_238582,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_62]) ).
tcf(c_238583,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_66]) ).
tcf(c_238591,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_64]) ).
tcf(c_238592,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_62]) ).
tcf(c_238593,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_66]) ).
tcf(c_238594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235141,c_141]) ).
tcf(c_238596,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235141,c_141]) ).
tcf(c_238600,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(X0,sdtpldt0(xn,xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_235141,c_146]) ).
tcf(c_238601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238600,c_235070,c_151,c_235068]) ).
tcf(c_238605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238596,c_235070,c_151,c_235068]) ).
tcf(c_238610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238594,c_235070,c_151,c_235068]) ).
tcf(c_238617,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238583,c_235139]) ).
tcf(c_238618,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238617,c_151,c_235068]) ).
tcf(c_238627,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238582,c_235139]) ).
tcf(c_238628,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238627,c_151,c_235068]) ).
tcf(c_238636,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238581,c_235139]) ).
tcf(c_238637,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238636,c_151,c_235068]) ).
tcf(c_238653,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_64]) ).
tcf(c_238654,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_62]) ).
tcf(c_238655,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_66]) ).
tcf(c_238661,plain,
( doDivides0(sdtpldt0(xn,xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235142,c_272]) ).
tcf(c_238663,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),sK7(X0,sdtpldt0(xn,xk))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_64]) ).
tcf(c_238664,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xk)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_62]) ).
tcf(c_238665,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| doDivides0(sdtpldt0(xn,xk),X0)
| sP1(X1,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_66]) ).
tcf(c_238669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_235142,c_145]) ).
tcf(c_238670,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235142,c_139]) ).
tcf(c_238671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xk),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235142,c_139]) ).
tcf(c_238673,plain,
doDivides0(sdtpldt0(xn,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_238661,c_151,c_235068]) ).
tcf(c_238674,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238669,c_235070,c_151,c_235068]) ).
tcf(c_238678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xk),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238671,c_235070,c_151,c_235068]) ).
tcf(c_238683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238670,c_235070,c_151,c_235068]) ).
tcf(c_238688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238655,c_235140]) ).
tcf(c_238689,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238688,c_151,c_235068]) ).
tcf(c_238697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238654,c_235140]) ).
tcf(c_238698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238697,c_151,c_235068]) ).
tcf(c_238706,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| doDivides0(sdtpldt0(xn,xk),X0)
| sP1(X1,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238665,c_151,c_235068]) ).
tcf(c_238714,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xk)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238664,c_151,c_235068]) ).
tcf(c_238722,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_238653,c_235140]) ).
tcf(c_238723,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238722,c_151,c_235068]) ).
tcf(c_238731,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),sK7(X0,sdtpldt0(xn,xk))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238663,c_151,c_235068]) ).
tcf(c_238771,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_238673,c_196]) ).
tcf(c_238772,plain,
( ( sdtpldt0(xn,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xk),sdtsldt0(sz00,sdtpldt0(xn,xk))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_238673,c_199]) ).
tcf(c_238774,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_238673,c_180]) ).
tcf(c_238775,plain,
( ( sdtasdt0(sdtpldt0(xn,xk),sK20(sdtpldt0(xn,xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_238673,c_176]) ).
tcf(c_238777,plain,
sdtasdt0(sdtpldt0(xn,xk),sK20(sdtpldt0(xn,xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238775,c_151,c_235068]) ).
tcf(c_238778,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238774,c_151,c_235068]) ).
tcf(c_238782,plain,
sdtasdt0(sdtpldt0(xn,xk),sdtsldt0(sz00,sdtpldt0(xn,xk))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238772,c_235070,c_151,c_235068]) ).
tcf(c_238783,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238771,c_235070,c_151,c_235068]) ).
tcf(c_239157,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_64]) ).
tcf(c_239158,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_62]) ).
tcf(c_239159,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_66]) ).
tcf(c_239167,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_64]) ).
tcf(c_239168,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_62]) ).
tcf(c_239169,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_66]) ).
tcf(c_239170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235326,c_141]) ).
tcf(c_239172,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235326,c_141]) ).
tcf(c_239176,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_235326,c_146]) ).
tcf(c_239177,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239176,c_235255,c_151,c_235253]) ).
tcf(c_239181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239172,c_235255,c_151,c_235253]) ).
tcf(c_239186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239170,c_235255,c_151,c_235253]) ).
tcf(c_239193,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239159,c_235324]) ).
tcf(c_239194,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239193,c_151,c_235253]) ).
tcf(c_239203,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239158,c_235324]) ).
tcf(c_239204,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239203,c_151,c_235253]) ).
tcf(c_239212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239157,c_235324]) ).
tcf(c_239213,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239212,c_151,c_235253]) ).
tcf(c_239224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_64]) ).
tcf(c_239225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_62]) ).
tcf(c_239226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_66]) ).
tcf(c_239232,plain,
( doDivides0(sdtpldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235327,c_272]) ).
tcf(c_239234,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),sK7(X0,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_64]) ).
tcf(c_239235,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_62]) ).
tcf(c_239236,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| doDivides0(sdtpldt0(xn,xr),X0)
| sP1(X1,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_66]) ).
tcf(c_239240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_235327,c_145]) ).
tcf(c_239241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235327,c_139]) ).
tcf(c_239242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235327,c_139]) ).
tcf(c_239244,plain,
doDivides0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_239232,c_151,c_235253]) ).
tcf(c_239245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239240,c_235255,c_151,c_235253]) ).
tcf(c_239249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239242,c_235255,c_151,c_235253]) ).
tcf(c_239254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239241,c_235255,c_151,c_235253]) ).
tcf(c_239259,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239226,c_235325]) ).
tcf(c_239260,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239259,c_151,c_235253]) ).
tcf(c_239268,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239225,c_235325]) ).
tcf(c_239269,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239268,c_151,c_235253]) ).
tcf(c_239277,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| doDivides0(sdtpldt0(xn,xr),X0)
| sP1(X1,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239236,c_151,c_235253]) ).
tcf(c_239285,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239235,c_151,c_235253]) ).
tcf(c_239293,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239224,c_235325]) ).
tcf(c_239294,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239293,c_151,c_235253]) ).
tcf(c_239302,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),sK7(X0,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239234,c_151,c_235253]) ).
tcf(c_239315,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_239244,c_196]) ).
tcf(c_239316,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_239244,c_199]) ).
tcf(c_239318,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_239244,c_180]) ).
tcf(c_239319,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK20(sdtpldt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_239244,c_176]) ).
tcf(c_239321,plain,
sdtasdt0(sdtpldt0(xn,xr),sK20(sdtpldt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239319,c_151,c_235253]) ).
tcf(c_239322,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239318,c_151,c_235253]) ).
tcf(c_239326,plain,
sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239316,c_235255,c_151,c_235253]) ).
tcf(c_239327,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239315,c_235255,c_151,c_235253]) ).
tcf(c_239336,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_64]) ).
tcf(c_239337,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_62]) ).
tcf(c_239338,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_66]) ).
tcf(c_239346,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_64]) ).
tcf(c_239347,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_62]) ).
tcf(c_239348,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_66]) ).
tcf(c_239349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235642,c_141]) ).
tcf(c_239351,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235642,c_141]) ).
tcf(c_239355,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(X0,sdtpldt0(xn,sK11)) != sz00 ) ),
inference(superposition,[status(thm)],[c_235642,c_146]) ).
tcf(c_239356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK11)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239355,c_235484,c_151,c_235479]) ).
tcf(c_239360,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239351,c_235484,c_151,c_235479]) ).
tcf(c_239365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239349,c_235484,c_151,c_235479]) ).
tcf(c_239372,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239338,c_235640]) ).
tcf(c_239373,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239372,c_151,c_235479]) ).
tcf(c_239382,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239337,c_235640]) ).
tcf(c_239383,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239382,c_151,c_235479]) ).
tcf(c_239391,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239336,c_235640]) ).
tcf(c_239392,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239391,c_151,c_235479]) ).
tcf(c_239484,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_64]) ).
tcf(c_239485,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_62]) ).
tcf(c_239486,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_66]) ).
tcf(c_239492,plain,
( doDivides0(sdtpldt0(xn,sK11),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235643,c_272]) ).
tcf(c_239494,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),sK7(X0,sdtpldt0(xn,sK11))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_64]) ).
tcf(c_239495,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK11)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_62]) ).
tcf(c_239496,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| doDivides0(sdtpldt0(xn,sK11),X0)
| sP1(X1,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_66]) ).
tcf(c_239500,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_235643,c_145]) ).
tcf(c_239501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235643,c_139]) ).
tcf(c_239502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235643,c_139]) ).
tcf(c_239504,plain,
doDivides0(sdtpldt0(xn,sK11),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_239492,c_151,c_235479]) ).
tcf(c_239505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK11),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239500,c_235484,c_151,c_235479]) ).
tcf(c_239509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239502,c_235484,c_151,c_235479]) ).
tcf(c_239514,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239501,c_235484,c_151,c_235479]) ).
tcf(c_239519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239486,c_235641]) ).
tcf(c_239520,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239519,c_151,c_235479]) ).
tcf(c_239528,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239485,c_235641]) ).
tcf(c_239529,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239528,c_151,c_235479]) ).
tcf(c_239537,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| doDivides0(sdtpldt0(xn,sK11),X0)
| sP1(X1,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239496,c_151,c_235479]) ).
tcf(c_239545,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK11)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239495,c_151,c_235479]) ).
tcf(c_239553,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239484,c_235641]) ).
tcf(c_239554,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239553,c_151,c_235479]) ).
tcf(c_239562,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),sK7(X0,sdtpldt0(xn,sK11))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239494,c_151,c_235479]) ).
tcf(c_239605,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_239504,c_196]) ).
tcf(c_239606,plain,
( ( sdtpldt0(xn,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK11),sdtsldt0(sz00,sdtpldt0(xn,sK11))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_239504,c_199]) ).
tcf(c_239608,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_239504,c_180]) ).
tcf(c_239609,plain,
( ( sdtasdt0(sdtpldt0(xn,sK11),sK20(sdtpldt0(xn,sK11),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_239504,c_176]) ).
tcf(c_239611,plain,
sdtasdt0(sdtpldt0(xn,sK11),sK20(sdtpldt0(xn,sK11),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239609,c_151,c_235479]) ).
tcf(c_239612,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239608,c_151,c_235479]) ).
tcf(c_239616,plain,
sdtasdt0(sdtpldt0(xn,sK11),sdtsldt0(sz00,sdtpldt0(xn,sK11))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239606,c_235484,c_151,c_235479]) ).
tcf(c_239617,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239605,c_235484,c_151,c_235479]) ).
tcf(c_239620,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_64]) ).
tcf(c_239621,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_62]) ).
tcf(c_239622,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_66]) ).
tcf(c_239630,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_64]) ).
tcf(c_239631,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_62]) ).
tcf(c_239632,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_66]) ).
tcf(c_239633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236471,c_141]) ).
tcf(c_239635,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236471,c_141]) ).
tcf(c_239639,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(X0,sdtpldt0(xn,sK12)) != sz00 ) ),
inference(superposition,[status(thm)],[c_236471,c_146]) ).
tcf(c_239640,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK12)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239639,c_235892,c_151,c_235887]) ).
tcf(c_239644,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239635,c_235892,c_151,c_235887]) ).
tcf(c_239649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239633,c_235892,c_151,c_235887]) ).
tcf(c_239656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239622,c_236469]) ).
tcf(c_239657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239656,c_151,c_235887]) ).
tcf(c_239666,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239621,c_236469]) ).
tcf(c_239667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239666,c_151,c_235887]) ).
tcf(c_239675,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239620,c_236469]) ).
tcf(c_239676,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239675,c_151,c_235887]) ).
tcf(c_239688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_64]) ).
tcf(c_239689,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_62]) ).
tcf(c_239690,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_66]) ).
tcf(c_239698,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_64]) ).
tcf(c_239699,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_62]) ).
tcf(c_239700,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_66]) ).
tcf(c_239701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK8,sK8)),sK8)
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_195806,c_141]) ).
tcf(c_239703,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sdtsldt0(sK8,sK8)))
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_195806,c_141]) ).
tcf(c_239704,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_145]) ).
tcf(c_239705,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ sdtlseqdt0(sdtsldt0(sK8,sK8),X0) ),
inference(superposition,[status(thm)],[c_195806,c_139]) ).
tcf(c_239706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ sdtlseqdt0(X0,sdtsldt0(sK8,sK8)) ),
inference(superposition,[status(thm)],[c_195806,c_139]) ).
tcf(c_239707,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ( sdtasdt0(X0,sdtsldt0(sK8,sK8)) != sK8 ) ),
inference(superposition,[status(thm)],[c_195806,c_146]) ).
tcf(c_239708,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ( sdtasdt0(sK8,X0) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239704,c_73]) ).
tcf(c_239714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sK8)
| ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ sdtlseqdt0(X0,sdtsldt0(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239706,c_73]) ).
tcf(c_239721,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sdtsldt0(sK8,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ sdtlseqdt0(sdtsldt0(sK8,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239705,c_73]) ).
tcf(c_239728,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ( sdtasdt0(X0,sdtsldt0(sK8,sK8)) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239707,c_73]) ).
tcf(c_239735,plain,
! [X0: $i] :
( sdtlseqdt0(sK8,sdtasdt0(X0,sdtsldt0(sK8,sK8)))
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239703,c_73]) ).
tcf(c_239743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sK8,sK8)),sK8)
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sK8,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239701,c_73]) ).
tcf(c_239751,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239700,c_73]) ).
tcf(c_239761,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239699,c_73]) ).
tcf(c_239771,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239690,c_73]) ).
tcf(c_239781,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239698,c_73]) ).
tcf(c_239791,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239689,c_73]) ).
tcf(c_239801,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sK8,sK8),X0)
| ( sz00 = sK8 )
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK8,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sK8,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239688,c_73]) ).
tcf(c_239811,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_64]) ).
tcf(c_239812,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_62]) ).
tcf(c_239813,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_66]) ).
tcf(c_239819,plain,
( doDivides0(sdtpldt0(xn,sK12),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236472,c_272]) ).
tcf(c_239821,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),sK7(X0,sdtpldt0(xn,sK12))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_64]) ).
tcf(c_239822,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK12)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_62]) ).
tcf(c_239823,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| doDivides0(sdtpldt0(xn,sK12),X0)
| sP1(X1,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_66]) ).
tcf(c_239827,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_236472,c_145]) ).
tcf(c_239828,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236472,c_139]) ).
tcf(c_239829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236472,c_139]) ).
tcf(c_239831,plain,
doDivides0(sdtpldt0(xn,sK12),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_239819,c_151,c_235887]) ).
tcf(c_239832,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK12),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239827,c_235892,c_151,c_235887]) ).
tcf(c_239836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239829,c_235892,c_151,c_235887]) ).
tcf(c_239841,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239828,c_235892,c_151,c_235887]) ).
tcf(c_239846,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239813,c_236470]) ).
tcf(c_239847,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239846,c_151,c_235887]) ).
tcf(c_239855,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239812,c_236470]) ).
tcf(c_239856,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239855,c_151,c_235887]) ).
tcf(c_239864,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| doDivides0(sdtpldt0(xn,sK12),X0)
| sP1(X1,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239823,c_151,c_235887]) ).
tcf(c_239872,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK12)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239822,c_151,c_235887]) ).
tcf(c_239880,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239811,c_236470]) ).
tcf(c_239881,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239880,c_151,c_235887]) ).
tcf(c_239889,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),sK7(X0,sdtpldt0(xn,sK12))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239821,c_151,c_235887]) ).
tcf(c_239897,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_239831,c_196]) ).
tcf(c_239898,plain,
( ( sdtpldt0(xn,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK12),sdtsldt0(sz00,sdtpldt0(xn,sK12))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_239831,c_199]) ).
tcf(c_239900,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_239831,c_180]) ).
tcf(c_239901,plain,
( ( sdtasdt0(sdtpldt0(xn,sK12),sK20(sdtpldt0(xn,sK12),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_239831,c_176]) ).
tcf(c_239903,plain,
sdtasdt0(sdtpldt0(xn,sK12),sK20(sdtpldt0(xn,sK12),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239901,c_151,c_235887]) ).
tcf(c_239904,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239900,c_151,c_235887]) ).
tcf(c_239908,plain,
sdtasdt0(sdtpldt0(xn,sK12),sdtsldt0(sz00,sdtpldt0(xn,sK12))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239898,c_235892,c_151,c_235887]) ).
tcf(c_239909,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239897,c_235892,c_151,c_235887]) ).
tcf(c_239912,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_64]) ).
tcf(c_239913,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_62]) ).
tcf(c_239914,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_66]) ).
tcf(c_239922,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_64]) ).
tcf(c_239923,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_62]) ).
tcf(c_239924,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_66]) ).
tcf(c_239925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236649,c_141]) ).
tcf(c_239927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236649,c_141]) ).
tcf(c_239931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(X0,sdtpldt0(xn,sK13)) != sz00 ) ),
inference(superposition,[status(thm)],[c_236649,c_146]) ).
tcf(c_239932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK13)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239931,c_236578,c_151,c_236573]) ).
tcf(c_239936,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239927,c_236578,c_151,c_236573]) ).
tcf(c_239941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239925,c_236578,c_151,c_236573]) ).
tcf(c_239948,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239914,c_236647]) ).
tcf(c_239949,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239948,c_151,c_236573]) ).
tcf(c_239958,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239913,c_236647]) ).
tcf(c_239959,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239958,c_151,c_236573]) ).
tcf(c_239967,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_239912,c_236647]) ).
tcf(c_239968,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239967,c_151,c_236573]) ).
tcf(c_240023,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_64]) ).
tcf(c_240024,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_62]) ).
tcf(c_240025,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_66]) ).
tcf(c_240031,plain,
( doDivides0(sdtpldt0(xn,sK13),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236650,c_272]) ).
tcf(c_240033,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),sK7(X0,sdtpldt0(xn,sK13))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_64]) ).
tcf(c_240034,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK13)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_62]) ).
tcf(c_240035,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| doDivides0(sdtpldt0(xn,sK13),X0)
| sP1(X1,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_66]) ).
tcf(c_240039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_236650,c_145]) ).
tcf(c_240040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236650,c_139]) ).
tcf(c_240041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236650,c_139]) ).
tcf(c_240043,plain,
doDivides0(sdtpldt0(xn,sK13),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_240031,c_151,c_236573]) ).
tcf(c_240044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK13),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240039,c_236578,c_151,c_236573]) ).
tcf(c_240048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240041,c_236578,c_151,c_236573]) ).
tcf(c_240053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240040,c_236578,c_151,c_236573]) ).
tcf(c_240058,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240025,c_236648]) ).
tcf(c_240059,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240058,c_151,c_236573]) ).
tcf(c_240067,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240024,c_236648]) ).
tcf(c_240068,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240067,c_151,c_236573]) ).
tcf(c_240076,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| doDivides0(sdtpldt0(xn,sK13),X0)
| sP1(X1,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240035,c_151,c_236573]) ).
tcf(c_240084,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK13)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240034,c_151,c_236573]) ).
tcf(c_240092,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240023,c_236648]) ).
tcf(c_240093,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240092,c_151,c_236573]) ).
tcf(c_240101,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),sK7(X0,sdtpldt0(xn,sK13))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240033,c_151,c_236573]) ).
tcf(c_240109,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_240043,c_196]) ).
tcf(c_240110,plain,
( ( sdtpldt0(xn,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK13),sdtsldt0(sz00,sdtpldt0(xn,sK13))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_240043,c_199]) ).
tcf(c_240112,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_240043,c_180]) ).
tcf(c_240113,plain,
( ( sdtasdt0(sdtpldt0(xn,sK13),sK20(sdtpldt0(xn,sK13),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_240043,c_176]) ).
tcf(c_240115,plain,
sdtasdt0(sdtpldt0(xn,sK13),sK20(sdtpldt0(xn,sK13),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240113,c_151,c_236573]) ).
tcf(c_240116,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240112,c_151,c_236573]) ).
tcf(c_240120,plain,
sdtasdt0(sdtpldt0(xn,sK13),sdtsldt0(sz00,sdtpldt0(xn,sK13))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240110,c_236578,c_151,c_236573]) ).
tcf(c_240121,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240109,c_236578,c_151,c_236573]) ).
tcf(c_240124,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_64]) ).
tcf(c_240125,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_62]) ).
tcf(c_240126,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_66]) ).
tcf(c_240134,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_64]) ).
tcf(c_240135,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_62]) ).
tcf(c_240136,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_66]) ).
tcf(c_240137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236780,c_141]) ).
tcf(c_240139,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236780,c_141]) ).
tcf(c_240143,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(X0,sdtpldt0(xn,sK14)) != sz00 ) ),
inference(superposition,[status(thm)],[c_236780,c_146]) ).
tcf(c_240144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK14)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240143,c_236709,c_151,c_236704]) ).
tcf(c_240148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240139,c_236709,c_151,c_236704]) ).
tcf(c_240153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240137,c_236709,c_151,c_236704]) ).
tcf(c_240160,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240126,c_236778]) ).
tcf(c_240161,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240160,c_151,c_236704]) ).
tcf(c_240170,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240125,c_236778]) ).
tcf(c_240171,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240170,c_151,c_236704]) ).
tcf(c_240179,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240124,c_236778]) ).
tcf(c_240180,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240179,c_151,c_236704]) ).
tcf(c_240188,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_64]) ).
tcf(c_240189,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_62]) ).
tcf(c_240190,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_66]) ).
tcf(c_240196,plain,
( doDivides0(sdtpldt0(xn,sK14),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236781,c_272]) ).
tcf(c_240198,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),sK7(X0,sdtpldt0(xn,sK14))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_64]) ).
tcf(c_240199,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK14)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_62]) ).
tcf(c_240200,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| doDivides0(sdtpldt0(xn,sK14),X0)
| sP1(X1,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_66]) ).
tcf(c_240204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_236781,c_145]) ).
tcf(c_240205,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236781,c_139]) ).
tcf(c_240206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236781,c_139]) ).
tcf(c_240208,plain,
doDivides0(sdtpldt0(xn,sK14),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_240196,c_151,c_236704]) ).
tcf(c_240209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK14),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240204,c_236709,c_151,c_236704]) ).
tcf(c_240213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240206,c_236709,c_151,c_236704]) ).
tcf(c_240218,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240205,c_236709,c_151,c_236704]) ).
tcf(c_240223,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240190,c_236779]) ).
tcf(c_240224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240223,c_151,c_236704]) ).
tcf(c_240232,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240189,c_236779]) ).
tcf(c_240233,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240232,c_151,c_236704]) ).
tcf(c_240241,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| doDivides0(sdtpldt0(xn,sK14),X0)
| sP1(X1,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240200,c_151,c_236704]) ).
tcf(c_240249,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK14)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240199,c_151,c_236704]) ).
tcf(c_240257,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240188,c_236779]) ).
tcf(c_240258,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240257,c_151,c_236704]) ).
tcf(c_240266,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),sK7(X0,sdtpldt0(xn,sK14))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240198,c_151,c_236704]) ).
tcf(c_240274,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_240208,c_196]) ).
tcf(c_240275,plain,
( ( sdtpldt0(xn,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK14),sdtsldt0(sz00,sdtpldt0(xn,sK14))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_240208,c_199]) ).
tcf(c_240277,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_240208,c_180]) ).
tcf(c_240278,plain,
( ( sdtasdt0(sdtpldt0(xn,sK14),sK20(sdtpldt0(xn,sK14),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_240208,c_176]) ).
tcf(c_240280,plain,
sdtasdt0(sdtpldt0(xn,sK14),sK20(sdtpldt0(xn,sK14),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240278,c_151,c_236704]) ).
tcf(c_240281,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240277,c_151,c_236704]) ).
tcf(c_240285,plain,
sdtasdt0(sdtpldt0(xn,sK14),sdtsldt0(sz00,sdtpldt0(xn,sK14))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240275,c_236709,c_151,c_236704]) ).
tcf(c_240286,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240274,c_236709,c_151,c_236704]) ).
tcf(c_240289,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_64]) ).
tcf(c_240290,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_62]) ).
tcf(c_240291,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_66]) ).
tcf(c_240299,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_64]) ).
tcf(c_240300,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_62]) ).
tcf(c_240301,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_66]) ).
tcf(c_240302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236946,c_141]) ).
tcf(c_240304,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236946,c_141]) ).
tcf(c_240308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(X0,sdtpldt0(xn,sK17)) != sz00 ) ),
inference(superposition,[status(thm)],[c_236946,c_146]) ).
tcf(c_240309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK17)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240308,c_236875,c_151,c_236870]) ).
tcf(c_240313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240304,c_236875,c_151,c_236870]) ).
tcf(c_240318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240302,c_236875,c_151,c_236870]) ).
tcf(c_240325,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240291,c_236944]) ).
tcf(c_240326,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240325,c_151,c_236870]) ).
tcf(c_240335,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240290,c_236944]) ).
tcf(c_240336,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240335,c_151,c_236870]) ).
tcf(c_240344,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240289,c_236944]) ).
tcf(c_240345,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240344,c_151,c_236870]) ).
tcf(c_240353,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_64]) ).
tcf(c_240354,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_62]) ).
tcf(c_240355,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_66]) ).
tcf(c_240361,plain,
( doDivides0(sdtpldt0(xn,sK17),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236947,c_272]) ).
tcf(c_240363,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),sK7(X0,sdtpldt0(xn,sK17))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_64]) ).
tcf(c_240364,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK17)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_62]) ).
tcf(c_240365,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| doDivides0(sdtpldt0(xn,sK17),X0)
| sP1(X1,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_66]) ).
tcf(c_240369,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_236947,c_145]) ).
tcf(c_240370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236947,c_139]) ).
tcf(c_240371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236947,c_139]) ).
tcf(c_240373,plain,
doDivides0(sdtpldt0(xn,sK17),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_240361,c_151,c_236870]) ).
tcf(c_240374,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK17),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240369,c_236875,c_151,c_236870]) ).
tcf(c_240378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240371,c_236875,c_151,c_236870]) ).
tcf(c_240383,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240370,c_236875,c_151,c_236870]) ).
tcf(c_240388,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240355,c_236945]) ).
tcf(c_240389,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240388,c_151,c_236870]) ).
tcf(c_240397,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240354,c_236945]) ).
tcf(c_240398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240397,c_151,c_236870]) ).
tcf(c_240406,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| doDivides0(sdtpldt0(xn,sK17),X0)
| sP1(X1,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240365,c_151,c_236870]) ).
tcf(c_240414,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK17)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240364,c_151,c_236870]) ).
tcf(c_240422,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240353,c_236945]) ).
tcf(c_240423,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240422,c_151,c_236870]) ).
tcf(c_240431,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),sK7(X0,sdtpldt0(xn,sK17))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240363,c_151,c_236870]) ).
tcf(c_240467,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_240373,c_196]) ).
tcf(c_240468,plain,
( ( sdtpldt0(xn,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK17),sdtsldt0(sz00,sdtpldt0(xn,sK17))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_240373,c_199]) ).
tcf(c_240470,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_240373,c_180]) ).
tcf(c_240471,plain,
( ( sdtasdt0(sdtpldt0(xn,sK17),sK20(sdtpldt0(xn,sK17),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_240373,c_176]) ).
tcf(c_240473,plain,
sdtasdt0(sdtpldt0(xn,sK17),sK20(sdtpldt0(xn,sK17),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240471,c_151,c_236870]) ).
tcf(c_240474,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240470,c_151,c_236870]) ).
tcf(c_240478,plain,
sdtasdt0(sdtpldt0(xn,sK17),sdtsldt0(sz00,sdtpldt0(xn,sK17))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240468,c_236875,c_151,c_236870]) ).
tcf(c_240479,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240467,c_236875,c_151,c_236870]) ).
tcf(c_240552,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_64]) ).
tcf(c_240553,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_62]) ).
tcf(c_240554,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_66]) ).
tcf(c_240562,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_64]) ).
tcf(c_240563,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_62]) ).
tcf(c_240564,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_66]) ).
tcf(c_240565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237283,c_141]) ).
tcf(c_240567,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237283,c_141]) ).
tcf(c_240571,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(X0,sdtpldt0(xn,sK18)) != sz00 ) ),
inference(superposition,[status(thm)],[c_237283,c_146]) ).
tcf(c_240572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK18)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240571,c_237212,c_151,c_237207]) ).
tcf(c_240576,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240567,c_237212,c_151,c_237207]) ).
tcf(c_240581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240565,c_237212,c_151,c_237207]) ).
tcf(c_240588,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240554,c_237281]) ).
tcf(c_240589,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240588,c_151,c_237207]) ).
tcf(c_240598,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240553,c_237281]) ).
tcf(c_240599,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240598,c_151,c_237207]) ).
tcf(c_240607,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240552,c_237281]) ).
tcf(c_240608,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240607,c_151,c_237207]) ).
tcf(c_240616,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_64]) ).
tcf(c_240617,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_62]) ).
tcf(c_240618,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_66]) ).
tcf(c_240624,plain,
( doDivides0(sdtpldt0(xn,sK18),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237284,c_272]) ).
tcf(c_240626,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),sK7(X0,sdtpldt0(xn,sK18))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_64]) ).
tcf(c_240627,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK18)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_62]) ).
tcf(c_240628,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| doDivides0(sdtpldt0(xn,sK18),X0)
| sP1(X1,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_66]) ).
tcf(c_240632,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_237284,c_145]) ).
tcf(c_240633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237284,c_139]) ).
tcf(c_240634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237284,c_139]) ).
tcf(c_240636,plain,
doDivides0(sdtpldt0(xn,sK18),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_240624,c_151,c_237207]) ).
tcf(c_240637,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK18),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240632,c_237212,c_151,c_237207]) ).
tcf(c_240641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240634,c_237212,c_151,c_237207]) ).
tcf(c_240646,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240633,c_237212,c_151,c_237207]) ).
tcf(c_240651,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240618,c_237282]) ).
tcf(c_240652,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240651,c_151,c_237207]) ).
tcf(c_240660,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240617,c_237282]) ).
tcf(c_240661,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240660,c_151,c_237207]) ).
tcf(c_240669,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| doDivides0(sdtpldt0(xn,sK18),X0)
| sP1(X1,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240628,c_151,c_237207]) ).
tcf(c_240677,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK18)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240627,c_151,c_237207]) ).
tcf(c_240685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240616,c_237282]) ).
tcf(c_240686,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240685,c_151,c_237207]) ).
tcf(c_240694,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),sK7(X0,sdtpldt0(xn,sK18))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240626,c_151,c_237207]) ).
tcf(c_240702,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_240636,c_196]) ).
tcf(c_240703,plain,
( ( sdtpldt0(xn,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK18),sdtsldt0(sz00,sdtpldt0(xn,sK18))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_240636,c_199]) ).
tcf(c_240705,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_240636,c_180]) ).
tcf(c_240706,plain,
( ( sdtasdt0(sdtpldt0(xn,sK18),sK20(sdtpldt0(xn,sK18),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_240636,c_176]) ).
tcf(c_240708,plain,
sdtasdt0(sdtpldt0(xn,sK18),sK20(sdtpldt0(xn,sK18),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240706,c_151,c_237207]) ).
tcf(c_240709,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240705,c_151,c_237207]) ).
tcf(c_240713,plain,
sdtasdt0(sdtpldt0(xn,sK18),sdtsldt0(sz00,sdtpldt0(xn,sK18))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240703,c_237212,c_151,c_237207]) ).
tcf(c_240714,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240702,c_237212,c_151,c_237207]) ).
tcf(c_240717,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_64]) ).
tcf(c_240718,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_62]) ).
tcf(c_240719,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_66]) ).
tcf(c_240727,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_64]) ).
tcf(c_240728,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_62]) ).
tcf(c_240729,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_66]) ).
tcf(c_240730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237437,c_141]) ).
tcf(c_240732,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237437,c_141]) ).
tcf(c_240736,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(X0,sdtpldt0(xn,sz10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_237437,c_146]) ).
tcf(c_240737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sz10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240736,c_237363,c_151,c_237361]) ).
tcf(c_240741,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240732,c_237363,c_151,c_237361]) ).
tcf(c_240746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240730,c_237363,c_151,c_237361]) ).
tcf(c_240753,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240719,c_237435]) ).
tcf(c_240754,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240753,c_151,c_237361]) ).
tcf(c_240763,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240718,c_237435]) ).
tcf(c_240764,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240763,c_151,c_237361]) ).
tcf(c_240772,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240717,c_237435]) ).
tcf(c_240773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240772,c_151,c_237361]) ).
tcf(c_240781,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_64]) ).
tcf(c_240782,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_62]) ).
tcf(c_240783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_66]) ).
tcf(c_240789,plain,
( doDivides0(sdtpldt0(xn,sz10),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237438,c_272]) ).
tcf(c_240791,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),sK7(X0,sdtpldt0(xn,sz10))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_64]) ).
tcf(c_240792,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sz10)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_62]) ).
tcf(c_240793,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| doDivides0(sdtpldt0(xn,sz10),X0)
| sP1(X1,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_66]) ).
tcf(c_240797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_237438,c_145]) ).
tcf(c_240798,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237438,c_139]) ).
tcf(c_240799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237438,c_139]) ).
tcf(c_240801,plain,
doDivides0(sdtpldt0(xn,sz10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_240789,c_151,c_237361]) ).
tcf(c_240802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sz10),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240797,c_237363,c_151,c_237361]) ).
tcf(c_240806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240799,c_237363,c_151,c_237361]) ).
tcf(c_240811,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240798,c_237363,c_151,c_237361]) ).
tcf(c_240816,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240783,c_237436]) ).
tcf(c_240817,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240816,c_151,c_237361]) ).
tcf(c_240825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240782,c_237436]) ).
tcf(c_240826,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240825,c_151,c_237361]) ).
tcf(c_240834,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| doDivides0(sdtpldt0(xn,sz10),X0)
| sP1(X1,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240793,c_151,c_237361]) ).
tcf(c_240842,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sz10)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240792,c_151,c_237361]) ).
tcf(c_240850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_240781,c_237436]) ).
tcf(c_240851,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240850,c_151,c_237361]) ).
tcf(c_240859,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),sK7(X0,sdtpldt0(xn,sz10))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240791,c_151,c_237361]) ).
tcf(c_240871,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_64]) ).
tcf(c_240872,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_62]) ).
tcf(c_240873,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_66]) ).
tcf(c_240881,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( xm = sz00 )
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_64]) ).
tcf(c_240882,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_62]) ).
tcf(c_240883,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_66]) ).
tcf(c_240884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),xm)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_195810,c_141]) ).
tcf(c_240886,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_195810,c_141]) ).
tcf(c_240887,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_145]) ).
tcf(c_240888,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(sdtsldt0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_195810,c_139]) ).
tcf(c_240889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_195810,c_139]) ).
tcf(c_240890,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_195810,c_146]) ).
tcf(c_240891,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240887,c_50]) ).
tcf(c_240897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240889,c_50]) ).
tcf(c_240904,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(sdtsldt0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240888,c_50]) ).
tcf(c_240911,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240890,c_50]) ).
tcf(c_240918,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240886,c_50]) ).
tcf(c_240926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),xm)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240884,c_50]) ).
tcf(c_240934,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240883,c_50]) ).
tcf(c_240944,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240882,c_50]) ).
tcf(c_240954,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240873,c_50]) ).
tcf(c_240964,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( xm = sz00 )
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240881,c_50]) ).
tcf(c_240974,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240872,c_50]) ).
tcf(c_240984,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(xm,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240871,c_50]) ).
tcf(c_240994,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sz10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_240801,c_196]) ).
tcf(c_240995,plain,
( ( sdtpldt0(xn,sz10) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sz10),sdtsldt0(sz00,sdtpldt0(xn,sz10))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_240801,c_199]) ).
tcf(c_240997,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_240801,c_180]) ).
tcf(c_240998,plain,
( ( sdtasdt0(sdtpldt0(xn,sz10),sK20(sdtpldt0(xn,sz10),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_240801,c_176]) ).
tcf(c_241000,plain,
sdtasdt0(sdtpldt0(xn,sz10),sK20(sdtpldt0(xn,sz10),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240998,c_151,c_237361]) ).
tcf(c_241001,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240997,c_151,c_237361]) ).
tcf(c_241005,plain,
sdtasdt0(sdtpldt0(xn,sz10),sdtsldt0(sz00,sdtpldt0(xn,sz10))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_240995,c_237363,c_151,c_237361]) ).
tcf(c_241006,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sz10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240994,c_237363,c_151,c_237361]) ).
tcf(c_241150,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_234246]) ).
tcf(c_241176,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241150,c_81]) ).
tcf(c_241186,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_241176,c_194]) ).
tcf(c_241187,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sK9,sK19(sK9,X0)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_241176,c_165]) ).
tcf(c_241188,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sK9,X0)
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_241176,c_173]) ).
tcf(c_241189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_241176,c_193]) ).
tcf(c_241217,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_241176,c_194]) ).
tcf(c_241218,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_241176,c_165]) ).
tcf(c_241219,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_241176,c_173]) ).
tcf(c_241220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK9,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_241176,c_193]) ).
tcf(c_241221,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241219,c_51]) ).
tcf(c_241226,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sK9,X0)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241188,c_81]) ).
tcf(c_241231,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241218,c_51]) ).
tcf(c_241235,plain,
! [X0: $i] :
( sdtlseqdt0(sK9,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241217,c_51]) ).
tcf(c_241240,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sK9,sK19(sK9,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241187,c_81]) ).
tcf(c_241244,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241186,c_81]) ).
tcf(c_241249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK9,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241220,c_51]) ).
tcf(c_241255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241189,c_81]) ).
tcf(c_241261,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_64]) ).
tcf(c_241262,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_62]) ).
tcf(c_241263,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_66]) ).
tcf(c_241269,plain,
( doDivides0(sz10,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234398,c_272]) ).
tcf(c_241271,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_64]) ).
tcf(c_241272,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_62]) ).
tcf(c_241273,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_66]) ).
tcf(c_241274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234398,c_141]) ).
tcf(c_241275,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234398,c_137]) ).
tcf(c_241276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234398,c_141]) ).
tcf(c_241277,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_145]) ).
tcf(c_241278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_234398,c_139]) ).
tcf(c_241279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234398,c_139]) ).
tcf(c_241280,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234398,c_146]) ).
tcf(c_241281,plain,
doDivides0(sz10,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241269,c_155,c_234277]) ).
tcf(c_241282,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241275,c_234282,c_155,c_234277]) ).
tcf(c_241283,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241277,c_156,c_155,c_234277]) ).
tcf(c_241287,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241280,c_234282,c_155,c_234277]) ).
tcf(c_241291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241279,c_156,c_155,c_234277]) ).
tcf(c_241296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241278,c_156,c_155,c_234277]) ).
tcf(c_241301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241276,c_234282,c_155,c_234277]) ).
tcf(c_241306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241274,c_234282,c_155,c_234277]) ).
tcf(c_241311,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241273,c_155,c_234277]) ).
tcf(c_241319,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241272,c_155,c_234277]) ).
tcf(c_241327,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241263,c_155,c_234277]) ).
tcf(c_241335,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241271,c_155,c_234277]) ).
tcf(c_241343,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241262,c_155,c_234277]) ).
tcf(c_241351,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241261,c_155,c_234277]) ).
tcf(c_241388,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241281,c_196]) ).
tcf(c_241389,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241281,c_199]) ).
tcf(c_241391,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_241281,c_180]) ).
tcf(c_241392,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241281,c_176]) ).
tcf(c_241395,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241392,c_155,c_234277]) ).
tcf(c_241396,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241391,c_155,c_234277]) ).
tcf(c_241400,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241389,c_156,c_155,c_234277]) ).
tcf(c_241401,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241388,c_156,c_155,c_234277]) ).
tcf(c_241415,plain,
( ( sdtpldt0(xn,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz10) ),
inference(superposition,[status(thm)],[c_241282,c_194]) ).
tcf(c_241416,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241282,c_165]) ).
tcf(c_241417,plain,
( iLess0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241282,c_173]) ).
tcf(c_241418,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241282,c_193]) ).
tcf(c_241419,plain,
( iLess0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241417,c_155,c_234277]) ).
tcf(c_241422,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241418,c_155,c_234277]) ).
tcf(c_241426,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241416,c_155,c_234277]) ).
tcf(c_241427,plain,
( ( sdtpldt0(xn,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241415,c_155,c_234277]) ).
tcf(c_241446,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_64]) ).
tcf(c_241447,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_62]) ).
tcf(c_241448,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_66]) ).
tcf(c_241454,plain,
( doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234399,c_272]) ).
tcf(c_241456,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),sK7(X0,sdtpldt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_64]) ).
tcf(c_241457,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_62]) ).
tcf(c_241458,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| doDivides0(sdtpldt0(xn,xm),X0)
| sP1(X1,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_66]) ).
tcf(c_241459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234399,c_141]) ).
tcf(c_241460,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234399,c_137]) ).
tcf(c_241461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_234399,c_141]) ).
tcf(c_241462,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_145]) ).
tcf(c_241463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234399,c_139]) ).
tcf(c_241464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234399,c_139]) ).
tcf(c_241465,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234399,c_146]) ).
tcf(c_241466,plain,
doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241454,c_155,c_234277]) ).
tcf(c_241467,plain,
sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241460,c_156,c_155,c_234277]) ).
tcf(c_241468,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241465,c_156,c_155,c_234277]) ).
tcf(c_241472,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241462,c_234282,c_155,c_234277]) ).
tcf(c_241476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241464,c_234282,c_155,c_234277]) ).
tcf(c_241481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241463,c_234282,c_155,c_234277]) ).
tcf(c_241486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241461,c_156,c_155,c_234277]) ).
tcf(c_241491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241459,c_156,c_155,c_234277]) ).
tcf(c_241496,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241448,c_155,c_234277]) ).
tcf(c_241504,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241447,c_155,c_234277]) ).
tcf(c_241512,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| doDivides0(sdtpldt0(xn,xm),X0)
| sP1(X1,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241458,c_155,c_234277]) ).
tcf(c_241520,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241457,c_155,c_234277]) ).
tcf(c_241528,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241446,c_155,c_234277]) ).
tcf(c_241536,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xm))
| sP1(X1,sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),sK7(X0,sdtpldt0(xn,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241456,c_155,c_234277]) ).
tcf(c_241579,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241466,c_196]) ).
tcf(c_241580,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241466,c_199]) ).
tcf(c_241583,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241466,c_176]) ).
tcf(c_241585,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_241466,c_157]) ).
tcf(c_241586,plain,
sdtasdt0(sdtpldt0(xn,xm),sK20(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241583,c_234277]) ).
tcf(c_241587,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241585,c_50,c_49,c_234277]) ).
tcf(c_241590,plain,
sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241580,c_234282,c_234277]) ).
tcf(c_241591,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241579,c_234282,c_234277]) ).
tcf(c_241595,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),sK19(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241467,c_165]) ).
tcf(c_241598,plain,
sdtpldt0(sdtpldt0(xn,xm),sK19(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241595,c_234277]) ).
tcf(c_241599,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234400,c_65]) ).
tcf(c_241600,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234400,c_63]) ).
tcf(c_241601,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234400,c_67]) ).
tcf(c_241606,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234400,c_275]) ).
tcf(c_241608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234400,c_162]) ).
tcf(c_241611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_234400,c_160]) ).
tcf(c_241612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234400,c_160]) ).
tcf(c_241613,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234400,c_167]) ).
tcf(c_241614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234400,c_162]) ).
tcf(c_241615,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234400,c_166]) ).
tcf(c_241616,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241606,c_151,c_234277]) ).
tcf(c_241617,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241615,c_151,c_234277]) ).
tcf(c_241621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241613,c_151,c_234277]) ).
tcf(c_241625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241614,c_151,c_234277]) ).
tcf(c_241630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241608,c_151,c_234277]) ).
tcf(c_241635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241612,c_151,c_234277]) ).
tcf(c_241640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241611,c_151,c_234277]) ).
tcf(c_241646,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_241600,c_234402]) ).
tcf(c_241647,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241646,c_151,c_234277]) ).
tcf(c_241654,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_241599,c_234402]) ).
tcf(c_241655,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241654,c_151,c_234277]) ).
tcf(c_241673,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_241616,c_194]) ).
tcf(c_241674,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241616,c_165]) ).
tcf(c_241675,plain,
( iLess0(sz00,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241616,c_173]) ).
tcf(c_241676,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_241616,c_193]) ).
tcf(c_241677,plain,
iLess0(sz00,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_241675,c_234282,c_151,c_234277]) ).
tcf(c_241678,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241676,c_151,c_234277]) ).
tcf(c_241682,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_241674,c_151,c_234277]) ).
tcf(c_241683,plain,
~ sdtlseqdt0(sdtpldt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_241673,c_234282,c_151,c_234277]) ).
tcf(c_241686,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_65]) ).
tcf(c_241687,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_63]) ).
tcf(c_241688,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_67]) ).
tcf(c_241695,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_65]) ).
tcf(c_241696,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_63]) ).
tcf(c_241697,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234401,c_67]) ).
tcf(c_241698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234401,c_162]) ).
tcf(c_241700,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234401,c_157]) ).
tcf(c_241701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234401,c_160]) ).
tcf(c_241702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_234401,c_160]) ).
tcf(c_241703,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234401,c_167]) ).
tcf(c_241704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_234401,c_162]) ).
tcf(c_241705,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_234401,c_166]) ).
tcf(c_241706,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241700,c_151,c_234277]) ).
tcf(c_241710,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241705,c_151,c_234277]) ).
tcf(c_241714,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241703,c_151,c_234277]) ).
tcf(c_241718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241702,c_151,c_234277]) ).
tcf(c_241723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241701,c_151,c_234277]) ).
tcf(c_241728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241704,c_151,c_234277]) ).
tcf(c_241733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241698,c_151,c_234277]) ).
tcf(c_241738,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xm,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241697,c_151,c_50,c_49]) ).
tcf(c_241744,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241696,c_151,c_50,c_49]) ).
tcf(c_241750,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,xm))
| ~ iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241695,c_151,c_50,c_49]) ).
tcf(c_241756,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_241688,c_234403]) ).
tcf(c_241757,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241756,c_151,c_234277]) ).
tcf(c_241764,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_241687,c_234403]) ).
tcf(c_241765,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xm),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241764,c_151,c_234277]) ).
tcf(c_241772,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_241686,c_234403]) ).
tcf(c_241773,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xm),X0)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241772,c_151,c_234277]) ).
tcf(c_241811,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_64]) ).
tcf(c_241812,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_62]) ).
tcf(c_241813,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_66]) ).
tcf(c_241816,plain,
( ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_195818,c_142]) ).
tcf(c_241821,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_64]) ).
tcf(c_241822,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_62]) ).
tcf(c_241823,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_66]) ).
tcf(c_241824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK18)),sz00)
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_195818,c_141]) ).
tcf(c_241825,plain,
( sdtlseqdt0(sK18,sz00)
| ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_195818,c_137]) ).
tcf(c_241826,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK18)))
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_195818,c_141]) ).
tcf(c_241827,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_145]) ).
tcf(c_241828,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK18),X0) ),
inference(superposition,[status(thm)],[c_195818,c_139]) ).
tcf(c_241829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK18)) ),
inference(superposition,[status(thm)],[c_195818,c_139]) ).
tcf(c_241830,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK18)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195818,c_146]) ).
tcf(c_241831,plain,
( ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241816,c_127]) ).
tcf(c_241836,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ( sdtasdt0(sK18,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241827,c_127]) ).
tcf(c_241842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK18,X0),sz00)
| ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241829,c_127]) ).
tcf(c_241849,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK18,X0))
| ( sz00 = sK18 )
| ( sdtsldt0(sz00,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241828,c_127]) ).
tcf(c_241856,plain,
! [X0: $i] :
( ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK18)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241830,c_127]) ).
tcf(c_241863,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK18)))
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241826,c_127]) ).
tcf(c_241871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK18)),sz00)
| ( sz00 = sK18 )
| ( X0 = sK18 )
| ( sdtsldt0(sz00,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241824,c_127]) ).
tcf(c_241879,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| doDivides0(sK18,X0)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241823,c_127]) ).
tcf(c_241889,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| aNaturalNumber0(sK7(X0,sK18))
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241822,c_127]) ).
tcf(c_241899,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241813,c_127]) ).
tcf(c_241909,plain,
! [X0: $i,X1: $i] :
( sP0(sK18)
| sP1(X1,sK18)
| ( sz00 = sK18 )
| ( sdtasdt0(sK18,sK7(X0,sK18)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK18),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241821,c_127]) ).
tcf(c_241919,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK18,X0))
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241812,c_127]) ).
tcf(c_241929,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK18),X0)
| ( sz00 = sK18 )
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sK18,sdtsldt0(sz00,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241811,c_127]) ).
tcf(c_241998,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_64]) ).
tcf(c_241999,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_62]) ).
tcf(c_242000,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_66]) ).
tcf(c_242006,plain,
( doDivides0(sz10,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234530,c_272]) ).
tcf(c_242008,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_64]) ).
tcf(c_242009,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_62]) ).
tcf(c_242010,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_66]) ).
tcf(c_242011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234530,c_141]) ).
tcf(c_242012,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234530,c_137]) ).
tcf(c_242013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234530,c_141]) ).
tcf(c_242014,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_145]) ).
tcf(c_242015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_234530,c_139]) ).
tcf(c_242016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234530,c_139]) ).
tcf(c_242017,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234530,c_146]) ).
tcf(c_242018,plain,
doDivides0(sz10,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242006,c_155,c_234461]) ).
tcf(c_242019,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242012,c_234463,c_155,c_234461]) ).
tcf(c_242020,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242014,c_156,c_155,c_234461]) ).
tcf(c_242024,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242017,c_234463,c_155,c_234461]) ).
tcf(c_242028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242016,c_156,c_155,c_234461]) ).
tcf(c_242033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242015,c_156,c_155,c_234461]) ).
tcf(c_242038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242013,c_234463,c_155,c_234461]) ).
tcf(c_242043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242011,c_234463,c_155,c_234461]) ).
tcf(c_242048,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242010,c_155,c_234461]) ).
tcf(c_242056,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242009,c_155,c_234461]) ).
tcf(c_242064,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242000,c_155,c_234461]) ).
tcf(c_242072,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242008,c_155,c_234461]) ).
tcf(c_242080,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241999,c_155,c_234461]) ).
tcf(c_242088,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241998,c_155,c_234461]) ).
tcf(c_242131,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242018,c_196]) ).
tcf(c_242132,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242018,c_199]) ).
tcf(c_242134,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_242018,c_180]) ).
tcf(c_242135,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242018,c_176]) ).
tcf(c_242138,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242135,c_155,c_234461]) ).
tcf(c_242139,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242134,c_155,c_234461]) ).
tcf(c_242143,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242132,c_156,c_155,c_234461]) ).
tcf(c_242144,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242131,c_156,c_155,c_234461]) ).
tcf(c_242147,plain,
( ( sdtpldt0(xn,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz10) ),
inference(superposition,[status(thm)],[c_242019,c_194]) ).
tcf(c_242148,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242019,c_165]) ).
tcf(c_242149,plain,
( iLess0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242019,c_173]) ).
tcf(c_242150,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242019,c_193]) ).
tcf(c_242151,plain,
( iLess0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242149,c_155,c_234461]) ).
tcf(c_242154,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242150,c_155,c_234461]) ).
tcf(c_242158,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242148,c_155,c_234461]) ).
tcf(c_242159,plain,
( ( sdtpldt0(xn,xp) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242147,c_155,c_234461]) ).
tcf(c_242162,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_64]) ).
tcf(c_242163,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_62]) ).
tcf(c_242164,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_66]) ).
tcf(c_242170,plain,
( doDivides0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234531,c_272]) ).
tcf(c_242172,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),sK7(X0,sdtpldt0(xn,xp))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_64]) ).
tcf(c_242173,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_62]) ).
tcf(c_242174,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| doDivides0(sdtpldt0(xn,xp),X0)
| sP1(X1,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_66]) ).
tcf(c_242175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234531,c_141]) ).
tcf(c_242176,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234531,c_137]) ).
tcf(c_242177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_234531,c_141]) ).
tcf(c_242178,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_145]) ).
tcf(c_242179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234531,c_139]) ).
tcf(c_242180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234531,c_139]) ).
tcf(c_242181,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234531,c_146]) ).
tcf(c_242182,plain,
doDivides0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242170,c_155,c_234461]) ).
tcf(c_242183,plain,
sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242176,c_156,c_155,c_234461]) ).
tcf(c_242184,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242181,c_156,c_155,c_234461]) ).
tcf(c_242188,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242178,c_234463,c_155,c_234461]) ).
tcf(c_242192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242180,c_234463,c_155,c_234461]) ).
tcf(c_242197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242179,c_234463,c_155,c_234461]) ).
tcf(c_242202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242177,c_156,c_155,c_234461]) ).
tcf(c_242207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242175,c_156,c_155,c_234461]) ).
tcf(c_242212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242164,c_155,c_234461]) ).
tcf(c_242220,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242163,c_155,c_234461]) ).
tcf(c_242228,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| doDivides0(sdtpldt0(xn,xp),X0)
| sP1(X1,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242174,c_155,c_234461]) ).
tcf(c_242236,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242173,c_155,c_234461]) ).
tcf(c_242244,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242162,c_155,c_234461]) ).
tcf(c_242252,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xp))
| sP1(X1,sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),sK7(X0,sdtpldt0(xn,xp))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242172,c_155,c_234461]) ).
tcf(c_242276,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242182,c_196]) ).
tcf(c_242277,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242182,c_199]) ).
tcf(c_242280,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK20(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242182,c_176]) ).
tcf(c_242282,plain,
( doDivides0(sdtpldt0(xn,xp),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_242182,c_157]) ).
tcf(c_242283,plain,
sdtasdt0(sdtpldt0(xn,xp),sK20(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242280,c_234461]) ).
tcf(c_242284,plain,
( doDivides0(sdtpldt0(xn,xp),xp)
| ~ doDivides0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242282,c_51,c_49,c_234461]) ).
tcf(c_242287,plain,
sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242277,c_234463,c_234461]) ).
tcf(c_242288,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242276,c_234463,c_234461]) ).
tcf(c_242303,plain,
( ( sdtpldt0(sdtpldt0(xn,xp),sK19(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242183,c_165]) ).
tcf(c_242306,plain,
sdtpldt0(sdtpldt0(xn,xp),sK19(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242303,c_234461]) ).
tcf(c_242307,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xp)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234532,c_65]) ).
tcf(c_242308,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xp)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234532,c_63]) ).
tcf(c_242309,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xp)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234532,c_67]) ).
tcf(c_242314,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234532,c_275]) ).
tcf(c_242316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234532,c_162]) ).
tcf(c_242319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_234532,c_160]) ).
tcf(c_242320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234532,c_160]) ).
tcf(c_242321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234532,c_167]) ).
tcf(c_242322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234532,c_162]) ).
tcf(c_242323,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234532,c_166]) ).
tcf(c_242324,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242314,c_151,c_234461]) ).
tcf(c_242325,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242323,c_151,c_234461]) ).
tcf(c_242329,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242321,c_151,c_234461]) ).
tcf(c_242333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242322,c_151,c_234461]) ).
tcf(c_242338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242316,c_151,c_234461]) ).
tcf(c_242343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242320,c_151,c_234461]) ).
tcf(c_242348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242319,c_151,c_234461]) ).
tcf(c_242354,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_242308,c_234534]) ).
tcf(c_242355,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242354,c_151,c_234461]) ).
tcf(c_242362,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_242307,c_234534]) ).
tcf(c_242363,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xp),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242362,c_151,c_234461]) ).
tcf(c_242386,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_242324,c_194]) ).
tcf(c_242387,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242324,c_165]) ).
tcf(c_242388,plain,
( iLess0(sz00,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242324,c_173]) ).
tcf(c_242389,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_242324,c_193]) ).
tcf(c_242390,plain,
iLess0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_242388,c_234463,c_151,c_234461]) ).
tcf(c_242391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242389,c_151,c_234461]) ).
tcf(c_242395,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_242387,c_151,c_234461]) ).
tcf(c_242396,plain,
~ sdtlseqdt0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_242386,c_234463,c_151,c_234461]) ).
tcf(c_242810,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_65]) ).
tcf(c_242811,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_63]) ).
tcf(c_242812,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_67]) ).
tcf(c_242819,plain,
( sP0(sz00)
| sP1(xp,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_65]) ).
tcf(c_242820,plain,
( sP0(sz00)
| sP1(xp,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_63]) ).
tcf(c_242821,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234533,c_67]) ).
tcf(c_242822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234533,c_162]) ).
tcf(c_242824,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234533,c_157]) ).
tcf(c_242825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234533,c_160]) ).
tcf(c_242826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_234533,c_160]) ).
tcf(c_242827,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234533,c_167]) ).
tcf(c_242828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_234533,c_162]) ).
tcf(c_242829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_234533,c_166]) ).
tcf(c_242830,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242824,c_151,c_234461]) ).
tcf(c_242834,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242829,c_151,c_234461]) ).
tcf(c_242838,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242827,c_151,c_234461]) ).
tcf(c_242842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242826,c_151,c_234461]) ).
tcf(c_242847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242825,c_151,c_234461]) ).
tcf(c_242852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242828,c_151,c_234461]) ).
tcf(c_242857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242822,c_151,c_234461]) ).
tcf(c_242862,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xp,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242821,c_151,c_51,c_49]) ).
tcf(c_242868,plain,
( sP0(sz00)
| sP1(xp,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242820,c_151,c_51,c_49]) ).
tcf(c_242874,plain,
( sP0(sz00)
| sP1(xp,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242819,c_151,c_51,c_49]) ).
tcf(c_242880,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_242812,c_234535]) ).
tcf(c_242881,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242880,c_151,c_234461]) ).
tcf(c_242888,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_242811,c_234535]) ).
tcf(c_242889,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xp),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242888,c_151,c_234461]) ).
tcf(c_242896,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_242810,c_234535]) ).
tcf(c_242897,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xp),X0)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242896,c_151,c_234461]) ).
tcf(c_242904,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_64]) ).
tcf(c_242905,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_62]) ).
tcf(c_242906,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_66]) ).
tcf(c_242912,plain,
( doDivides0(sz10,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234708,c_272]) ).
tcf(c_242914,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_64]) ).
tcf(c_242915,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_62]) ).
tcf(c_242916,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_66]) ).
tcf(c_242917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234708,c_141]) ).
tcf(c_242918,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234708,c_137]) ).
tcf(c_242919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234708,c_141]) ).
tcf(c_242920,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_145]) ).
tcf(c_242921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(superposition,[status(thm)],[c_234708,c_139]) ).
tcf(c_242922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234708,c_139]) ).
tcf(c_242923,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(X0,sdtpldt0(xn,sK8)) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234708,c_146]) ).
tcf(c_242924,plain,
doDivides0(sz10,sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_242912,c_155,c_234636]) ).
tcf(c_242925,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_242918,c_234641,c_155,c_234636]) ).
tcf(c_242926,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242920,c_156,c_155,c_234636]) ).
tcf(c_242930,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK8)) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242923,c_234641,c_155,c_234636]) ).
tcf(c_242934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242922,c_156,c_155,c_234636]) ).
tcf(c_242939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242921,c_156,c_155,c_234636]) ).
tcf(c_242944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242919,c_234641,c_155,c_234636]) ).
tcf(c_242949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242917,c_234641,c_155,c_234636]) ).
tcf(c_242954,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242916,c_155,c_234636]) ).
tcf(c_242962,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242915,c_155,c_234636]) ).
tcf(c_242970,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242906,c_155,c_234636]) ).
tcf(c_242978,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242914,c_155,c_234636]) ).
tcf(c_242986,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242905,c_155,c_234636]) ).
tcf(c_242994,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242904,c_155,c_234636]) ).
tcf(c_243037,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242924,c_196]) ).
tcf(c_243038,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK8),sz10)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242924,c_199]) ).
tcf(c_243040,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(sdtpldt0(xn,sK8),X0) ),
inference(superposition,[status(thm)],[c_242924,c_180]) ).
tcf(c_243041,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242924,c_176]) ).
tcf(c_243044,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243041,c_155,c_234636]) ).
tcf(c_243045,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243040,c_155,c_234636]) ).
tcf(c_243049,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK8),sz10)) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243038,c_156,c_155,c_234636]) ).
tcf(c_243050,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243037,c_156,c_155,c_234636]) ).
tcf(c_243070,plain,
( ( sdtpldt0(xn,sK8) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),sz10) ),
inference(superposition,[status(thm)],[c_242925,c_194]) ).
tcf(c_243071,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242925,c_165]) ).
tcf(c_243072,plain,
( iLess0(sz10,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242925,c_173]) ).
tcf(c_243073,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_242925,c_193]) ).
tcf(c_243074,plain,
( iLess0(sz10,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243072,c_155,c_234636]) ).
tcf(c_243077,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243073,c_155,c_234636]) ).
tcf(c_243081,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243071,c_155,c_234636]) ).
tcf(c_243082,plain,
( ( sdtpldt0(xn,sK8) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243070,c_155,c_234636]) ).
tcf(c_243167,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_64]) ).
tcf(c_243168,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_62]) ).
tcf(c_243169,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_66]) ).
tcf(c_243175,plain,
( doDivides0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234709,c_272]) ).
tcf(c_243177,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),sK7(X0,sdtpldt0(xn,sK8))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_64]) ).
tcf(c_243178,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK8)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_62]) ).
tcf(c_243179,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| doDivides0(sdtpldt0(xn,sK8),X0)
| sP1(X1,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_66]) ).
tcf(c_243180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234709,c_141]) ).
tcf(c_243181,plain,
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234709,c_137]) ).
tcf(c_243182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(superposition,[status(thm)],[c_234709,c_141]) ).
tcf(c_243183,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),X0) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_145]) ).
tcf(c_243184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234709,c_139]) ).
tcf(c_243185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sdtpldt0(xn,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234709,c_139]) ).
tcf(c_243186,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234709,c_146]) ).
tcf(c_243187,plain,
doDivides0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_243175,c_155,c_234636]) ).
tcf(c_243188,plain,
sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_243181,c_156,c_155,c_234636]) ).
tcf(c_243189,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243186,c_156,c_155,c_234636]) ).
tcf(c_243193,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK8),X0) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243183,c_234641,c_155,c_234636]) ).
tcf(c_243197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK8),X0),sdtpldt0(xn,sK8))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243185,c_234641,c_155,c_234636]) ).
tcf(c_243202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243184,c_234641,c_155,c_234636]) ).
tcf(c_243207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243182,c_156,c_155,c_234636]) ).
tcf(c_243212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243180,c_156,c_155,c_234636]) ).
tcf(c_243217,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243169,c_155,c_234636]) ).
tcf(c_243225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243168,c_155,c_234636]) ).
tcf(c_243233,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| doDivides0(sdtpldt0(xn,sK8),X0)
| sP1(X1,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243179,c_155,c_234636]) ).
tcf(c_243241,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK8)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243178,c_155,c_234636]) ).
tcf(c_243249,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243167,c_155,c_234636]) ).
tcf(c_243257,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK8))
| sP1(X1,sdtpldt0(xn,sK8))
| ( sdtasdt0(sdtpldt0(xn,sK8),sK7(X0,sdtpldt0(xn,sK8))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243177,c_155,c_234636]) ).
tcf(c_243313,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243187,c_196]) ).
tcf(c_243314,plain,
( ( sdtpldt0(xn,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK8),sdtsldt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243187,c_199]) ).
tcf(c_243317,plain,
( ( sdtasdt0(sdtpldt0(xn,sK8),sK20(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243187,c_176]) ).
tcf(c_243319,plain,
( doDivides0(sdtpldt0(xn,sK8),sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(sdtpldt0(xn,sK8),xn) ),
inference(superposition,[status(thm)],[c_243187,c_157]) ).
tcf(c_243320,plain,
sdtasdt0(sdtpldt0(xn,sK8),sK20(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243317,c_234636]) ).
tcf(c_243321,plain,
( doDivides0(sdtpldt0(xn,sK8),sK8)
| ~ doDivides0(sdtpldt0(xn,sK8),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243319,c_73,c_49,c_234636]) ).
tcf(c_243324,plain,
sdtasdt0(sdtpldt0(xn,sK8),sdtsldt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243314,c_234641,c_234636]) ).
tcf(c_243325,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243313,c_234641,c_234636]) ).
tcf(c_243332,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_64]) ).
tcf(c_243333,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_62]) ).
tcf(c_243334,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_66]) ).
tcf(c_243337,plain,
( ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_195821,c_142]) ).
tcf(c_243342,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_64]) ).
tcf(c_243343,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_62]) ).
tcf(c_243344,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_66]) ).
tcf(c_243345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK17)),sz00)
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_195821,c_141]) ).
tcf(c_243346,plain,
( sdtlseqdt0(sK17,sz00)
| ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_195821,c_137]) ).
tcf(c_243347,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK17)))
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_195821,c_141]) ).
tcf(c_243348,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_145]) ).
tcf(c_243349,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK17),X0) ),
inference(superposition,[status(thm)],[c_195821,c_139]) ).
tcf(c_243350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK17)) ),
inference(superposition,[status(thm)],[c_195821,c_139]) ).
tcf(c_243351,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK17)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195821,c_146]) ).
tcf(c_243352,plain,
( ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243337,c_119]) ).
tcf(c_243357,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ( sdtasdt0(sK17,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243348,c_119]) ).
tcf(c_243363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK17,X0),sz00)
| ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243350,c_119]) ).
tcf(c_243370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK17,X0))
| ( sz00 = sK17 )
| ( sdtsldt0(sz00,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243349,c_119]) ).
tcf(c_243377,plain,
! [X0: $i] :
( ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK17)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243351,c_119]) ).
tcf(c_243384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK17)))
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243347,c_119]) ).
tcf(c_243392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK17)),sz00)
| ( sz00 = sK17 )
| ( X0 = sK17 )
| ( sdtsldt0(sz00,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243345,c_119]) ).
tcf(c_243400,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| doDivides0(sK17,X0)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243344,c_119]) ).
tcf(c_243410,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| aNaturalNumber0(sK7(X0,sK17))
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243343,c_119]) ).
tcf(c_243420,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243334,c_119]) ).
tcf(c_243430,plain,
! [X0: $i,X1: $i] :
( sP0(sK17)
| sP1(X1,sK17)
| ( sz00 = sK17 )
| ( sdtasdt0(sK17,sK7(X0,sK17)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK17),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243342,c_119]) ).
tcf(c_243440,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK17,X0))
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243333,c_119]) ).
tcf(c_243450,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK17),X0)
| ( sz00 = sK17 )
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sK17,sdtsldt0(sz00,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243332,c_119]) ).
tcf(c_243461,plain,
( ( sdtpldt0(sdtpldt0(xn,sK8),sK19(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243188,c_165]) ).
tcf(c_243464,plain,
sdtpldt0(sdtpldt0(xn,sK8),sK19(sdtpldt0(xn,sK8),sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243461,c_234636]) ).
tcf(c_243465,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234710,c_65]) ).
tcf(c_243466,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234710,c_63]) ).
tcf(c_243467,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234710,c_67]) ).
tcf(c_243472,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234710,c_275]) ).
tcf(c_243474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234710,c_162]) ).
tcf(c_243477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(superposition,[status(thm)],[c_234710,c_160]) ).
tcf(c_243478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234710,c_160]) ).
tcf(c_243479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtpldt0(X0,sdtpldt0(xn,sK8)) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234710,c_167]) ).
tcf(c_243480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234710,c_162]) ).
tcf(c_243481,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234710,c_166]) ).
tcf(c_243482,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_243472,c_151,c_234636]) ).
tcf(c_243483,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243481,c_151,c_234636]) ).
tcf(c_243487,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK8)) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243479,c_151,c_234636]) ).
tcf(c_243491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,sdtpldt0(xn,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243480,c_151,c_234636]) ).
tcf(c_243496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK8)),sdtpldt0(xn,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243474,c_151,c_234636]) ).
tcf(c_243501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243478,c_151,c_234636]) ).
tcf(c_243506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243477,c_151,c_234636]) ).
tcf(c_243512,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243466,c_234712]) ).
tcf(c_243513,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243512,c_151,c_234636]) ).
tcf(c_243520,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243465,c_234712]) ).
tcf(c_243521,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243520,c_151,c_234636]) ).
tcf(c_243528,plain,
( ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),sz00) ),
inference(superposition,[status(thm)],[c_243482,c_194]) ).
tcf(c_243529,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243482,c_165]) ).
tcf(c_243530,plain,
( iLess0(sz00,sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243482,c_173]) ).
tcf(c_243531,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_243482,c_193]) ).
tcf(c_243532,plain,
iLess0(sz00,sdtpldt0(xn,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_243530,c_234641,c_151,c_234636]) ).
tcf(c_243533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243531,c_151,c_234636]) ).
tcf(c_243537,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK8))) = sdtpldt0(xn,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_243529,c_151,c_234636]) ).
tcf(c_243538,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK8),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_243528,c_234641,c_151,c_234636]) ).
tcf(c_243541,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_65]) ).
tcf(c_243542,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_63]) ).
tcf(c_243543,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_67]) ).
tcf(c_243550,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_65]) ).
tcf(c_243551,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_63]) ).
tcf(c_243552,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK8,sz00)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_234711,c_67]) ).
tcf(c_243553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234711,c_162]) ).
tcf(c_243555,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ doDivides0(X0,sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234711,c_157]) ).
tcf(c_243556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234711,c_160]) ).
tcf(c_243557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(xn,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8)) ),
inference(superposition,[status(thm)],[c_234711,c_160]) ).
tcf(c_243558,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234711,c_167]) ).
tcf(c_243559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(superposition,[status(thm)],[c_234711,c_162]) ).
tcf(c_243560,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ( sdtpldt0(sdtpldt0(xn,sK8),X0) != sdtpldt0(xn,sK8) ) ),
inference(superposition,[status(thm)],[c_234711,c_166]) ).
tcf(c_243561,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243555,c_151,c_234636]) ).
tcf(c_243565,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK8),X0) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243560,c_151,c_234636]) ).
tcf(c_243569,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243558,c_151,c_234636]) ).
tcf(c_243573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(xn,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243557,c_151,c_234636]) ).
tcf(c_243578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243556,c_151,c_234636]) ).
tcf(c_243583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243559,c_151,c_234636]) ).
tcf(c_243588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK8))
| ( sdtpldt0(xn,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243553,c_151,c_234636]) ).
tcf(c_243593,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK8,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243552,c_73,c_151,c_49]) ).
tcf(c_243599,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243551,c_73,c_151,c_49]) ).
tcf(c_243605,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK8))
| ~ iLess0(sdtpldt0(xn,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243550,c_73,c_151,c_49]) ).
tcf(c_243611,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243543,c_234713]) ).
tcf(c_243612,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243611,c_151,c_234636]) ).
tcf(c_243619,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243542,c_234713]) ).
tcf(c_243620,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK8),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243619,c_151,c_234636]) ).
tcf(c_243627,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243541,c_234713]) ).
tcf(c_243628,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK8),X0)) = sdtpldt0(xn,sK8) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243627,c_151,c_234636]) ).
tcf(c_243651,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_64]) ).
tcf(c_243652,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_62]) ).
tcf(c_243653,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_66]) ).
tcf(c_243659,plain,
( doDivides0(sz10,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235009,c_272]) ).
tcf(c_243661,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_64]) ).
tcf(c_243662,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_62]) ).
tcf(c_243663,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_66]) ).
tcf(c_243664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235009,c_141]) ).
tcf(c_243665,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235009,c_137]) ).
tcf(c_243666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235009,c_141]) ).
tcf(c_243667,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_145]) ).
tcf(c_243668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(superposition,[status(thm)],[c_235009,c_139]) ).
tcf(c_243669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235009,c_139]) ).
tcf(c_243670,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(X0,sdtpldt0(xn,sK10)) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235009,c_146]) ).
tcf(c_243671,plain,
doDivides0(sz10,sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_243659,c_155,c_234937]) ).
tcf(c_243672,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_243665,c_234942,c_155,c_234937]) ).
tcf(c_243673,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243667,c_156,c_155,c_234937]) ).
tcf(c_243677,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK10)) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243670,c_234942,c_155,c_234937]) ).
tcf(c_243681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243669,c_156,c_155,c_234937]) ).
tcf(c_243686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243668,c_156,c_155,c_234937]) ).
tcf(c_243691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243666,c_234942,c_155,c_234937]) ).
tcf(c_243696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243664,c_234942,c_155,c_234937]) ).
tcf(c_243701,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243663,c_155,c_234937]) ).
tcf(c_243709,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243662,c_155,c_234937]) ).
tcf(c_243717,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243653,c_155,c_234937]) ).
tcf(c_243725,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243661,c_155,c_234937]) ).
tcf(c_243733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243652,c_155,c_234937]) ).
tcf(c_243741,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243651,c_155,c_234937]) ).
tcf(c_243758,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243671,c_196]) ).
tcf(c_243759,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK10),sz10)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243671,c_199]) ).
tcf(c_243761,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(sdtpldt0(xn,sK10),X0) ),
inference(superposition,[status(thm)],[c_243671,c_180]) ).
tcf(c_243762,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243671,c_176]) ).
tcf(c_243765,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243762,c_155,c_234937]) ).
tcf(c_243766,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243761,c_155,c_234937]) ).
tcf(c_243770,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK10),sz10)) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243759,c_156,c_155,c_234937]) ).
tcf(c_243771,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243758,c_156,c_155,c_234937]) ).
tcf(c_243774,plain,
( ( sdtpldt0(xn,sK10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),sz10) ),
inference(superposition,[status(thm)],[c_243672,c_194]) ).
tcf(c_243775,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243672,c_165]) ).
tcf(c_243776,plain,
( iLess0(sz10,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243672,c_173]) ).
tcf(c_243777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243672,c_193]) ).
tcf(c_243778,plain,
( iLess0(sz10,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243776,c_155,c_234937]) ).
tcf(c_243781,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243777,c_155,c_234937]) ).
tcf(c_243785,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243775,c_155,c_234937]) ).
tcf(c_243786,plain,
( ( sdtpldt0(xn,sK10) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243774,c_155,c_234937]) ).
tcf(c_243824,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_64]) ).
tcf(c_243825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_62]) ).
tcf(c_243826,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_66]) ).
tcf(c_243832,plain,
( doDivides0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235010,c_272]) ).
tcf(c_243834,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),sK7(X0,sdtpldt0(xn,sK10))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_64]) ).
tcf(c_243835,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK10)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_62]) ).
tcf(c_243836,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| doDivides0(sdtpldt0(xn,sK10),X0)
| sP1(X1,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_66]) ).
tcf(c_243837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235010,c_141]) ).
tcf(c_243838,plain,
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235010,c_137]) ).
tcf(c_243839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(superposition,[status(thm)],[c_235010,c_141]) ).
tcf(c_243840,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),X0) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_145]) ).
tcf(c_243841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235010,c_139]) ).
tcf(c_243842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sdtpldt0(xn,sK10))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235010,c_139]) ).
tcf(c_243843,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235010,c_146]) ).
tcf(c_243844,plain,
doDivides0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_243832,c_155,c_234937]) ).
tcf(c_243845,plain,
sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_243838,c_156,c_155,c_234937]) ).
tcf(c_243846,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243843,c_156,c_155,c_234937]) ).
tcf(c_243850,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK10),X0) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243840,c_234942,c_155,c_234937]) ).
tcf(c_243854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK10),X0),sdtpldt0(xn,sK10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243842,c_234942,c_155,c_234937]) ).
tcf(c_243859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243841,c_234942,c_155,c_234937]) ).
tcf(c_243864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243839,c_156,c_155,c_234937]) ).
tcf(c_243869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243837,c_156,c_155,c_234937]) ).
tcf(c_243874,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243826,c_155,c_234937]) ).
tcf(c_243882,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243825,c_155,c_234937]) ).
tcf(c_243890,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| doDivides0(sdtpldt0(xn,sK10),X0)
| sP1(X1,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243836,c_155,c_234937]) ).
tcf(c_243898,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK10)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243835,c_155,c_234937]) ).
tcf(c_243906,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243824,c_155,c_234937]) ).
tcf(c_243914,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK10))
| sP1(X1,sdtpldt0(xn,sK10))
| ( sdtasdt0(sdtpldt0(xn,sK10),sK7(X0,sdtpldt0(xn,sK10))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243834,c_155,c_234937]) ).
tcf(c_243935,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243844,c_196]) ).
tcf(c_243936,plain,
( ( sdtpldt0(xn,sK10) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK10),sdtsldt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243844,c_199]) ).
tcf(c_243939,plain,
( ( sdtasdt0(sdtpldt0(xn,sK10),sK20(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243844,c_176]) ).
tcf(c_243941,plain,
( doDivides0(sdtpldt0(xn,sK10),sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(sdtpldt0(xn,sK10),xn) ),
inference(superposition,[status(thm)],[c_243844,c_157]) ).
tcf(c_243942,plain,
sdtasdt0(sdtpldt0(xn,sK10),sK20(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243939,c_234937]) ).
tcf(c_243943,plain,
( doDivides0(sdtpldt0(xn,sK10),sK10)
| ~ doDivides0(sdtpldt0(xn,sK10),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243941,c_85,c_49,c_234937]) ).
tcf(c_243946,plain,
sdtasdt0(sdtpldt0(xn,sK10),sdtsldt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243936,c_234942,c_234937]) ).
tcf(c_243947,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243935,c_234942,c_234937]) ).
tcf(c_243951,plain,
( ( sdtpldt0(sdtpldt0(xn,sK10),sK19(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243845,c_165]) ).
tcf(c_243954,plain,
sdtpldt0(sdtpldt0(xn,sK10),sK19(sdtpldt0(xn,sK10),sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_243951,c_234937]) ).
tcf(c_243955,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235011,c_65]) ).
tcf(c_243956,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235011,c_63]) ).
tcf(c_243957,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235011,c_67]) ).
tcf(c_243962,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235011,c_275]) ).
tcf(c_243964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235011,c_162]) ).
tcf(c_243967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(superposition,[status(thm)],[c_235011,c_160]) ).
tcf(c_243968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235011,c_160]) ).
tcf(c_243969,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtpldt0(X0,sdtpldt0(xn,sK10)) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235011,c_167]) ).
tcf(c_243970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235011,c_162]) ).
tcf(c_243971,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235011,c_166]) ).
tcf(c_243972,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_243962,c_151,c_234937]) ).
tcf(c_243973,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243971,c_151,c_234937]) ).
tcf(c_243977,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK10)) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243969,c_151,c_234937]) ).
tcf(c_243981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,sdtpldt0(xn,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243970,c_151,c_234937]) ).
tcf(c_243986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK10)),sdtpldt0(xn,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243964,c_151,c_234937]) ).
tcf(c_243991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243968,c_151,c_234937]) ).
tcf(c_243996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243967,c_151,c_234937]) ).
tcf(c_244002,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243956,c_235013]) ).
tcf(c_244003,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244002,c_151,c_234937]) ).
tcf(c_244010,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_243955,c_235013]) ).
tcf(c_244011,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244010,c_151,c_234937]) ).
tcf(c_244032,plain,
( ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),sz00) ),
inference(superposition,[status(thm)],[c_243972,c_194]) ).
tcf(c_244033,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243972,c_165]) ).
tcf(c_244034,plain,
( iLess0(sz00,sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243972,c_173]) ).
tcf(c_244035,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_243972,c_193]) ).
tcf(c_244036,plain,
iLess0(sz00,sdtpldt0(xn,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_244034,c_234942,c_151,c_234937]) ).
tcf(c_244037,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244035,c_151,c_234937]) ).
tcf(c_244041,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK10))) = sdtpldt0(xn,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_244033,c_151,c_234937]) ).
tcf(c_244042,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_244032,c_234942,c_151,c_234937]) ).
tcf(c_244086,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_64]) ).
tcf(c_244087,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_62]) ).
tcf(c_244088,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_66]) ).
tcf(c_244091,plain,
( ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_195824,c_142]) ).
tcf(c_244096,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_64]) ).
tcf(c_244097,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_62]) ).
tcf(c_244098,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_66]) ).
tcf(c_244099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK14)),sz00)
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_195824,c_141]) ).
tcf(c_244100,plain,
( sdtlseqdt0(sK14,sz00)
| ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_195824,c_137]) ).
tcf(c_244101,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK14)))
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_195824,c_141]) ).
tcf(c_244102,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_145]) ).
tcf(c_244103,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK14),X0) ),
inference(superposition,[status(thm)],[c_195824,c_139]) ).
tcf(c_244104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK14)) ),
inference(superposition,[status(thm)],[c_195824,c_139]) ).
tcf(c_244105,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK14)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195824,c_146]) ).
tcf(c_244106,plain,
( ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244091,c_110]) ).
tcf(c_244111,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ( sdtasdt0(sK14,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244102,c_110]) ).
tcf(c_244117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK14,X0),sz00)
| ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244104,c_110]) ).
tcf(c_244124,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK14,X0))
| ( sz00 = sK14 )
| ( sdtsldt0(sz00,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244103,c_110]) ).
tcf(c_244131,plain,
! [X0: $i] :
( ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK14)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244105,c_110]) ).
tcf(c_244138,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK14)))
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244101,c_110]) ).
tcf(c_244146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK14)),sz00)
| ( sz00 = sK14 )
| ( X0 = sK14 )
| ( sdtsldt0(sz00,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244099,c_110]) ).
tcf(c_244154,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| doDivides0(sK14,X0)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244098,c_110]) ).
tcf(c_244164,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| aNaturalNumber0(sK7(X0,sK14))
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244097,c_110]) ).
tcf(c_244174,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244088,c_110]) ).
tcf(c_244184,plain,
! [X0: $i,X1: $i] :
( sP0(sK14)
| sP1(X1,sK14)
| ( sz00 = sK14 )
| ( sdtasdt0(sK14,sK7(X0,sK14)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK14),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244096,c_110]) ).
tcf(c_244194,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK14,X0))
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244087,c_110]) ).
tcf(c_244204,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK14),X0)
| ( sz00 = sK14 )
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sK14,sdtsldt0(sz00,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244086,c_110]) ).
tcf(c_244214,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_65]) ).
tcf(c_244215,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_63]) ).
tcf(c_244216,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_67]) ).
tcf(c_244223,plain,
( sP0(sz00)
| sP1(sK10,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_65]) ).
tcf(c_244224,plain,
( sP0(sz00)
| sP1(sK10,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_63]) ).
tcf(c_244225,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK10,sz00)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235012,c_67]) ).
tcf(c_244226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235012,c_162]) ).
tcf(c_244228,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ doDivides0(X0,sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235012,c_157]) ).
tcf(c_244229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235012,c_160]) ).
tcf(c_244230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(xn,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10)) ),
inference(superposition,[status(thm)],[c_235012,c_160]) ).
tcf(c_244231,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235012,c_167]) ).
tcf(c_244232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(superposition,[status(thm)],[c_235012,c_162]) ).
tcf(c_244233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ( sdtpldt0(sdtpldt0(xn,sK10),X0) != sdtpldt0(xn,sK10) ) ),
inference(superposition,[status(thm)],[c_235012,c_166]) ).
tcf(c_244234,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244228,c_151,c_234937]) ).
tcf(c_244238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK10),X0) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244233,c_151,c_234937]) ).
tcf(c_244242,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244231,c_151,c_234937]) ).
tcf(c_244246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(xn,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244230,c_151,c_234937]) ).
tcf(c_244251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244229,c_151,c_234937]) ).
tcf(c_244256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244232,c_151,c_234937]) ).
tcf(c_244261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK10))
| ( sdtpldt0(xn,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244226,c_151,c_234937]) ).
tcf(c_244266,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK10,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244225,c_85,c_151,c_49]) ).
tcf(c_244272,plain,
( sP0(sz00)
| sP1(sK10,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244224,c_85,c_151,c_49]) ).
tcf(c_244278,plain,
( sP0(sz00)
| sP1(sK10,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK10))
| ~ iLess0(sdtpldt0(xn,sK10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244223,c_85,c_151,c_49]) ).
tcf(c_244284,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_244216,c_235014]) ).
tcf(c_244285,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244284,c_151,c_234937]) ).
tcf(c_244292,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_244215,c_235014]) ).
tcf(c_244293,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK10),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244292,c_151,c_234937]) ).
tcf(c_244300,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_244214,c_235014]) ).
tcf(c_244301,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK10),X0)) = sdtpldt0(xn,sK10) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244300,c_151,c_234937]) ).
tcf(c_244308,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_64]) ).
tcf(c_244309,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_62]) ).
tcf(c_244310,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_66]) ).
tcf(c_244316,plain,
( doDivides0(sz10,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235137,c_272]) ).
tcf(c_244318,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_64]) ).
tcf(c_244319,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_62]) ).
tcf(c_244320,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_66]) ).
tcf(c_244321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235137,c_141]) ).
tcf(c_244322,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235137,c_137]) ).
tcf(c_244323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235137,c_141]) ).
tcf(c_244324,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_145]) ).
tcf(c_244325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(superposition,[status(thm)],[c_235137,c_139]) ).
tcf(c_244326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235137,c_139]) ).
tcf(c_244327,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(X0,sdtpldt0(xn,xk)) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235137,c_146]) ).
tcf(c_244328,plain,
doDivides0(sz10,sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_244316,c_155,c_235068]) ).
tcf(c_244329,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_244322,c_235070,c_155,c_235068]) ).
tcf(c_244330,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244324,c_156,c_155,c_235068]) ).
tcf(c_244334,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xk)) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244327,c_235070,c_155,c_235068]) ).
tcf(c_244338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244326,c_156,c_155,c_235068]) ).
tcf(c_244343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244325,c_156,c_155,c_235068]) ).
tcf(c_244348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244323,c_235070,c_155,c_235068]) ).
tcf(c_244353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244321,c_235070,c_155,c_235068]) ).
tcf(c_244358,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244320,c_155,c_235068]) ).
tcf(c_244366,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244319,c_155,c_235068]) ).
tcf(c_244374,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244310,c_155,c_235068]) ).
tcf(c_244382,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244318,c_155,c_235068]) ).
tcf(c_244390,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244309,c_155,c_235068]) ).
tcf(c_244398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244308,c_155,c_235068]) ).
tcf(c_244436,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244328,c_196]) ).
tcf(c_244437,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xk),sz10)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244328,c_199]) ).
tcf(c_244439,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(sdtpldt0(xn,xk),X0) ),
inference(superposition,[status(thm)],[c_244328,c_180]) ).
tcf(c_244440,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244328,c_176]) ).
tcf(c_244443,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244440,c_155,c_235068]) ).
tcf(c_244444,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244439,c_155,c_235068]) ).
tcf(c_244448,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xk),sz10)) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244437,c_156,c_155,c_235068]) ).
tcf(c_244449,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244436,c_156,c_155,c_235068]) ).
tcf(c_244452,plain,
( ( sdtpldt0(xn,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),sz10) ),
inference(superposition,[status(thm)],[c_244329,c_194]) ).
tcf(c_244453,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244329,c_165]) ).
tcf(c_244454,plain,
( iLess0(sz10,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244329,c_173]) ).
tcf(c_244455,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244329,c_193]) ).
tcf(c_244456,plain,
( iLess0(sz10,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244454,c_155,c_235068]) ).
tcf(c_244459,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244455,c_155,c_235068]) ).
tcf(c_244463,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244453,c_155,c_235068]) ).
tcf(c_244464,plain,
( ( sdtpldt0(xn,xk) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244452,c_155,c_235068]) ).
tcf(c_244467,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_64]) ).
tcf(c_244468,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_62]) ).
tcf(c_244469,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_66]) ).
tcf(c_244475,plain,
( doDivides0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235138,c_272]) ).
tcf(c_244477,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),sK7(X0,sdtpldt0(xn,xk))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_64]) ).
tcf(c_244478,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xk)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_62]) ).
tcf(c_244479,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| doDivides0(sdtpldt0(xn,xk),X0)
| sP1(X1,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_66]) ).
tcf(c_244480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235138,c_141]) ).
tcf(c_244481,plain,
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235138,c_137]) ).
tcf(c_244482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(superposition,[status(thm)],[c_235138,c_141]) ).
tcf(c_244483,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),X0) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_145]) ).
tcf(c_244484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235138,c_139]) ).
tcf(c_244485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xk),X0),sdtpldt0(xn,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235138,c_139]) ).
tcf(c_244486,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235138,c_146]) ).
tcf(c_244487,plain,
doDivides0(sdtpldt0(xn,xk),sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_244475,c_155,c_235068]) ).
tcf(c_244488,plain,
sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_244481,c_156,c_155,c_235068]) ).
tcf(c_244489,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244486,c_156,c_155,c_235068]) ).
tcf(c_244493,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xk),X0) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244483,c_235070,c_155,c_235068]) ).
tcf(c_244497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xk),X0),sdtpldt0(xn,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244485,c_235070,c_155,c_235068]) ).
tcf(c_244502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244484,c_235070,c_155,c_235068]) ).
tcf(c_244507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244482,c_156,c_155,c_235068]) ).
tcf(c_244512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244480,c_156,c_155,c_235068]) ).
tcf(c_244517,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244469,c_155,c_235068]) ).
tcf(c_244525,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244468,c_155,c_235068]) ).
tcf(c_244533,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| doDivides0(sdtpldt0(xn,xk),X0)
| sP1(X1,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244479,c_155,c_235068]) ).
tcf(c_244541,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xk)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244478,c_155,c_235068]) ).
tcf(c_244549,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244467,c_155,c_235068]) ).
tcf(c_244557,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xk))
| sP1(X1,sdtpldt0(xn,xk))
| ( sdtasdt0(sdtpldt0(xn,xk),sK7(X0,sdtpldt0(xn,xk))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244477,c_155,c_235068]) ).
tcf(c_244593,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244487,c_196]) ).
tcf(c_244594,plain,
( ( sdtpldt0(xn,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xk),sdtsldt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244487,c_199]) ).
tcf(c_244597,plain,
( ( sdtasdt0(sdtpldt0(xn,xk),sK20(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244487,c_176]) ).
tcf(c_244599,plain,
( doDivides0(sdtpldt0(xn,xk),xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(sdtpldt0(xn,xk),xn) ),
inference(superposition,[status(thm)],[c_244487,c_157]) ).
tcf(c_244600,plain,
sdtasdt0(sdtpldt0(xn,xk),sK20(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244597,c_235068]) ).
tcf(c_244601,plain,
( doDivides0(sdtpldt0(xn,xk),xk)
| ~ doDivides0(sdtpldt0(xn,xk),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244599,c_88,c_49,c_235068]) ).
tcf(c_244604,plain,
sdtasdt0(sdtpldt0(xn,xk),sdtsldt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244594,c_235070,c_235068]) ).
tcf(c_244605,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244593,c_235070,c_235068]) ).
tcf(c_244724,plain,
( ( sdtpldt0(sdtpldt0(xn,xk),sK19(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244488,c_165]) ).
tcf(c_244727,plain,
sdtpldt0(sdtpldt0(xn,xk),sK19(sdtpldt0(xn,xk),sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_244724,c_235068]) ).
tcf(c_244728,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235139,c_65]) ).
tcf(c_244729,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235139,c_63]) ).
tcf(c_244730,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235139,c_67]) ).
tcf(c_244735,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235139,c_275]) ).
tcf(c_244737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235139,c_162]) ).
tcf(c_244740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(superposition,[status(thm)],[c_235139,c_160]) ).
tcf(c_244741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235139,c_160]) ).
tcf(c_244742,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtpldt0(X0,sdtpldt0(xn,xk)) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235139,c_167]) ).
tcf(c_244743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235139,c_162]) ).
tcf(c_244744,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235139,c_166]) ).
tcf(c_244745,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_244735,c_151,c_235068]) ).
tcf(c_244746,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244744,c_151,c_235068]) ).
tcf(c_244750,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xk)) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244742,c_151,c_235068]) ).
tcf(c_244754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,sdtpldt0(xn,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244743,c_151,c_235068]) ).
tcf(c_244759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xk)),sdtpldt0(xn,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244737,c_151,c_235068]) ).
tcf(c_244764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244741,c_151,c_235068]) ).
tcf(c_244769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244740,c_151,c_235068]) ).
tcf(c_244775,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_244729,c_235141]) ).
tcf(c_244776,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244775,c_151,c_235068]) ).
tcf(c_244783,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_244728,c_235141]) ).
tcf(c_244784,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244783,c_151,c_235068]) ).
tcf(c_245597,plain,
( ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),sz00) ),
inference(superposition,[status(thm)],[c_244745,c_194]) ).
tcf(c_245598,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244745,c_165]) ).
tcf(c_245599,plain,
( iLess0(sz00,sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244745,c_173]) ).
tcf(c_245600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_244745,c_193]) ).
tcf(c_245601,plain,
iLess0(sz00,sdtpldt0(xn,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_245599,c_235070,c_151,c_235068]) ).
tcf(c_245602,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245600,c_151,c_235068]) ).
tcf(c_245606,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xk))) = sdtpldt0(xn,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_245598,c_151,c_235068]) ).
tcf(c_245607,plain,
~ sdtlseqdt0(sdtpldt0(xn,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_245597,c_235070,c_151,c_235068]) ).
tcf(c_245610,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_65]) ).
tcf(c_245611,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_63]) ).
tcf(c_245612,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_67]) ).
tcf(c_245619,plain,
( sP0(sz00)
| sP1(xk,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_65]) ).
tcf(c_245620,plain,
( sP0(sz00)
| sP1(xk,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_63]) ).
tcf(c_245621,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xk,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235140,c_67]) ).
tcf(c_245622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235140,c_162]) ).
tcf(c_245624,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ doDivides0(X0,sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235140,c_157]) ).
tcf(c_245625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235140,c_160]) ).
tcf(c_245626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(xn,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk)) ),
inference(superposition,[status(thm)],[c_235140,c_160]) ).
tcf(c_245627,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235140,c_167]) ).
tcf(c_245628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(superposition,[status(thm)],[c_235140,c_162]) ).
tcf(c_245629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ( sdtpldt0(sdtpldt0(xn,xk),X0) != sdtpldt0(xn,xk) ) ),
inference(superposition,[status(thm)],[c_235140,c_166]) ).
tcf(c_245630,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245624,c_151,c_235068]) ).
tcf(c_245634,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xk),X0) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245629,c_151,c_235068]) ).
tcf(c_245638,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245627,c_151,c_235068]) ).
tcf(c_245642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(xn,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245626,c_151,c_235068]) ).
tcf(c_245647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245625,c_151,c_235068]) ).
tcf(c_245652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245628,c_151,c_235068]) ).
tcf(c_245657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xk))
| ( sdtpldt0(xn,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245622,c_151,c_235068]) ).
tcf(c_245662,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xk,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245621,c_88,c_151,c_49]) ).
tcf(c_245668,plain,
( sP0(sz00)
| sP1(xk,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245620,c_88,c_151,c_49]) ).
tcf(c_245674,plain,
( sP0(sz00)
| sP1(xk,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,xk))
| ~ iLess0(sdtpldt0(xn,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245619,c_88,c_151,c_49]) ).
tcf(c_245680,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_245612,c_235142]) ).
tcf(c_245681,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245680,c_151,c_235068]) ).
tcf(c_245688,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_245611,c_235142]) ).
tcf(c_245689,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xk),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245688,c_151,c_235068]) ).
tcf(c_245696,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_245610,c_235142]) ).
tcf(c_245697,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xk),X0)) = sdtpldt0(xn,xk) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245696,c_151,c_235068]) ).
tcf(c_245704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_64]) ).
tcf(c_245705,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_62]) ).
tcf(c_245706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_66]) ).
tcf(c_245712,plain,
( doDivides0(sz10,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235322,c_272]) ).
tcf(c_245714,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_64]) ).
tcf(c_245715,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_62]) ).
tcf(c_245716,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_66]) ).
tcf(c_245717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235322,c_141]) ).
tcf(c_245718,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235322,c_137]) ).
tcf(c_245719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235322,c_141]) ).
tcf(c_245720,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_145]) ).
tcf(c_245721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_235322,c_139]) ).
tcf(c_245722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235322,c_139]) ).
tcf(c_245723,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235322,c_146]) ).
tcf(c_245724,plain,
doDivides0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_245712,c_155,c_235253]) ).
tcf(c_245725,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_245718,c_235255,c_155,c_235253]) ).
tcf(c_245726,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245720,c_156,c_155,c_235253]) ).
tcf(c_245730,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245723,c_235255,c_155,c_235253]) ).
tcf(c_245734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245722,c_156,c_155,c_235253]) ).
tcf(c_245739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245721,c_156,c_155,c_235253]) ).
tcf(c_245744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245719,c_235255,c_155,c_235253]) ).
tcf(c_245749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245717,c_235255,c_155,c_235253]) ).
tcf(c_245754,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245716,c_155,c_235253]) ).
tcf(c_245762,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245715,c_155,c_235253]) ).
tcf(c_245770,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245706,c_155,c_235253]) ).
tcf(c_245778,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245714,c_155,c_235253]) ).
tcf(c_245786,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245705,c_155,c_235253]) ).
tcf(c_245794,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245704,c_155,c_235253]) ).
tcf(c_245820,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245724,c_196]) ).
tcf(c_245821,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245724,c_199]) ).
tcf(c_245823,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_245724,c_180]) ).
tcf(c_245824,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245724,c_176]) ).
tcf(c_245827,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_245824,c_155,c_235253]) ).
tcf(c_245828,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245823,c_155,c_235253]) ).
tcf(c_245832,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_245821,c_156,c_155,c_235253]) ).
tcf(c_245833,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245820,c_156,c_155,c_235253]) ).
tcf(c_245927,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_245725,c_194]) ).
tcf(c_245928,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245725,c_165]) ).
tcf(c_245929,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245725,c_173]) ).
tcf(c_245930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245725,c_193]) ).
tcf(c_245931,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245929,c_155,c_235253]) ).
tcf(c_245934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245930,c_155,c_235253]) ).
tcf(c_245938,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_245928,c_155,c_235253]) ).
tcf(c_245939,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245927,c_155,c_235253]) ).
tcf(c_245942,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_64]) ).
tcf(c_245943,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_62]) ).
tcf(c_245944,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_66]) ).
tcf(c_245950,plain,
( doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235323,c_272]) ).
tcf(c_245952,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),sK7(X0,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_64]) ).
tcf(c_245953,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_62]) ).
tcf(c_245954,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| doDivides0(sdtpldt0(xn,xr),X0)
| sP1(X1,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_66]) ).
tcf(c_245955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235323,c_141]) ).
tcf(c_245956,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235323,c_137]) ).
tcf(c_245957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_235323,c_141]) ).
tcf(c_245958,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_145]) ).
tcf(c_245959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235323,c_139]) ).
tcf(c_245960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235323,c_139]) ).
tcf(c_245961,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235323,c_146]) ).
tcf(c_245962,plain,
doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_245950,c_155,c_235253]) ).
tcf(c_245963,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_245956,c_156,c_155,c_235253]) ).
tcf(c_245964,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245961,c_156,c_155,c_235253]) ).
tcf(c_245968,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245958,c_235255,c_155,c_235253]) ).
tcf(c_245972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245960,c_235255,c_155,c_235253]) ).
tcf(c_245977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245959,c_235255,c_155,c_235253]) ).
tcf(c_245982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245957,c_156,c_155,c_235253]) ).
tcf(c_245987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245955,c_156,c_155,c_235253]) ).
tcf(c_245992,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245944,c_155,c_235253]) ).
tcf(c_246000,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245943,c_155,c_235253]) ).
tcf(c_246008,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| doDivides0(sdtpldt0(xn,xr),X0)
| sP1(X1,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245954,c_155,c_235253]) ).
tcf(c_246016,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245953,c_155,c_235253]) ).
tcf(c_246024,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245942,c_155,c_235253]) ).
tcf(c_246032,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,xr))
| sP1(X1,sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),sK7(X0,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245952,c_155,c_235253]) ).
tcf(c_246101,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_64]) ).
tcf(c_246102,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_62]) ).
tcf(c_246103,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_66]) ).
tcf(c_246106,plain,
( ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_195827,c_142]) ).
tcf(c_246111,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_64]) ).
tcf(c_246112,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_62]) ).
tcf(c_246113,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_66]) ).
tcf(c_246114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK13)),sz00)
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_195827,c_141]) ).
tcf(c_246115,plain,
( sdtlseqdt0(sK13,sz00)
| ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_195827,c_137]) ).
tcf(c_246116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK13)))
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_195827,c_141]) ).
tcf(c_246117,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_145]) ).
tcf(c_246118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK13),X0) ),
inference(superposition,[status(thm)],[c_195827,c_139]) ).
tcf(c_246119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK13)) ),
inference(superposition,[status(thm)],[c_195827,c_139]) ).
tcf(c_246120,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK13)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195827,c_146]) ).
tcf(c_246121,plain,
( ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246106,c_106]) ).
tcf(c_246126,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ( sdtasdt0(sK13,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246117,c_106]) ).
tcf(c_246132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK13,X0),sz00)
| ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246119,c_106]) ).
tcf(c_246139,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK13,X0))
| ( sz00 = sK13 )
| ( sdtsldt0(sz00,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246118,c_106]) ).
tcf(c_246146,plain,
! [X0: $i] :
( ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK13)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246120,c_106]) ).
tcf(c_246153,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK13)))
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246116,c_106]) ).
tcf(c_246161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK13)),sz00)
| ( sz00 = sK13 )
| ( X0 = sK13 )
| ( sdtsldt0(sz00,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246114,c_106]) ).
tcf(c_246169,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| doDivides0(sK13,X0)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246113,c_106]) ).
tcf(c_246179,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| aNaturalNumber0(sK7(X0,sK13))
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246112,c_106]) ).
tcf(c_246189,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246103,c_106]) ).
tcf(c_246199,plain,
! [X0: $i,X1: $i] :
( sP0(sK13)
| sP1(X1,sK13)
| ( sz00 = sK13 )
| ( sdtasdt0(sK13,sK7(X0,sK13)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK13),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246111,c_106]) ).
tcf(c_246209,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK13,X0))
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246102,c_106]) ).
tcf(c_246219,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK13),X0)
| ( sz00 = sK13 )
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sK13,sdtsldt0(sz00,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246101,c_106]) ).
tcf(c_246229,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245962,c_196]) ).
tcf(c_246230,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245962,c_199]) ).
tcf(c_246233,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK20(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245962,c_176]) ).
tcf(c_246235,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_245962,c_157]) ).
tcf(c_246236,plain,
sdtasdt0(sdtpldt0(xn,xr),sK20(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_246233,c_235253]) ).
tcf(c_246237,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246235,c_95,c_49,c_235253]) ).
tcf(c_246240,plain,
sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_246230,c_235255,c_235253]) ).
tcf(c_246241,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246229,c_235255,c_235253]) ).
tcf(c_246245,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK19(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_245963,c_165]) ).
tcf(c_246248,plain,
sdtpldt0(sdtpldt0(xn,xr),sK19(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_246245,c_235253]) ).
tcf(c_246249,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235324,c_65]) ).
tcf(c_246250,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235324,c_63]) ).
tcf(c_246251,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235324,c_67]) ).
tcf(c_246256,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235324,c_275]) ).
tcf(c_246258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235324,c_162]) ).
tcf(c_246261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_235324,c_160]) ).
tcf(c_246262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235324,c_160]) ).
tcf(c_246263,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235324,c_167]) ).
tcf(c_246264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235324,c_162]) ).
tcf(c_246265,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235324,c_166]) ).
tcf(c_246266,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_246256,c_151,c_235253]) ).
tcf(c_246267,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246265,c_151,c_235253]) ).
tcf(c_246271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246263,c_151,c_235253]) ).
tcf(c_246275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246264,c_151,c_235253]) ).
tcf(c_246280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246258,c_151,c_235253]) ).
tcf(c_246285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246262,c_151,c_235253]) ).
tcf(c_246290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246261,c_151,c_235253]) ).
tcf(c_246296,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246250,c_235326]) ).
tcf(c_246297,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246296,c_151,c_235253]) ).
tcf(c_246304,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246249,c_235326]) ).
tcf(c_246305,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,xr),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246304,c_151,c_235253]) ).
tcf(c_246312,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_246266,c_194]) ).
tcf(c_246313,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_246266,c_165]) ).
tcf(c_246314,plain,
( iLess0(sz00,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_246266,c_173]) ).
tcf(c_246315,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_246266,c_193]) ).
tcf(c_246316,plain,
iLess0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_246314,c_235255,c_151,c_235253]) ).
tcf(c_246317,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246315,c_151,c_235253]) ).
tcf(c_246321,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_246313,c_151,c_235253]) ).
tcf(c_246322,plain,
~ sdtlseqdt0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_246312,c_235255,c_151,c_235253]) ).
tcf(c_246325,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_65]) ).
tcf(c_246326,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_63]) ).
tcf(c_246327,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_67]) ).
tcf(c_246334,plain,
( sP0(sz00)
| sP1(xr,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_65]) ).
tcf(c_246335,plain,
( sP0(sz00)
| sP1(xr,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_63]) ).
tcf(c_246336,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235325,c_67]) ).
tcf(c_246337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235325,c_162]) ).
tcf(c_246339,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235325,c_157]) ).
tcf(c_246340,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235325,c_160]) ).
tcf(c_246341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_235325,c_160]) ).
tcf(c_246342,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235325,c_167]) ).
tcf(c_246343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_235325,c_162]) ).
tcf(c_246344,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_235325,c_166]) ).
tcf(c_246345,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246339,c_151,c_235253]) ).
tcf(c_246349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246344,c_151,c_235253]) ).
tcf(c_246353,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246342,c_151,c_235253]) ).
tcf(c_246357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246341,c_151,c_235253]) ).
tcf(c_246362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246340,c_151,c_235253]) ).
tcf(c_246367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246343,c_151,c_235253]) ).
tcf(c_246372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246337,c_151,c_235253]) ).
tcf(c_246377,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(xr,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246336,c_95,c_151,c_49]) ).
tcf(c_246383,plain,
( sP0(sz00)
| sP1(xr,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246335,c_95,c_151,c_49]) ).
tcf(c_246389,plain,
( sP0(sz00)
| sP1(xr,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,xr))
| ~ iLess0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246334,c_95,c_151,c_49]) ).
tcf(c_246395,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246327,c_235327]) ).
tcf(c_246396,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246395,c_151,c_235253]) ).
tcf(c_246403,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246326,c_235327]) ).
tcf(c_246404,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,xr),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246403,c_151,c_235253]) ).
tcf(c_246411,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246325,c_235327]) ).
tcf(c_246412,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246411,c_151,c_235253]) ).
tcf(c_246419,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_64]) ).
tcf(c_246420,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_62]) ).
tcf(c_246421,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_66]) ).
tcf(c_246427,plain,
( doDivides0(sz10,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235638,c_272]) ).
tcf(c_246429,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_64]) ).
tcf(c_246430,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_62]) ).
tcf(c_246431,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_66]) ).
tcf(c_246432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235638,c_141]) ).
tcf(c_246433,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235638,c_137]) ).
tcf(c_246434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235638,c_141]) ).
tcf(c_246435,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_145]) ).
tcf(c_246436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(superposition,[status(thm)],[c_235638,c_139]) ).
tcf(c_246437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235638,c_139]) ).
tcf(c_246438,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(X0,sdtpldt0(xn,sK11)) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235638,c_146]) ).
tcf(c_246439,plain,
doDivides0(sz10,sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246427,c_155,c_235479]) ).
tcf(c_246440,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246433,c_235484,c_155,c_235479]) ).
tcf(c_246441,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246435,c_156,c_155,c_235479]) ).
tcf(c_246445,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK11)) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246438,c_235484,c_155,c_235479]) ).
tcf(c_246449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246437,c_156,c_155,c_235479]) ).
tcf(c_246454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246436,c_156,c_155,c_235479]) ).
tcf(c_246459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246434,c_235484,c_155,c_235479]) ).
tcf(c_246464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246432,c_235484,c_155,c_235479]) ).
tcf(c_246469,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246431,c_155,c_235479]) ).
tcf(c_246477,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246430,c_155,c_235479]) ).
tcf(c_246485,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246421,c_155,c_235479]) ).
tcf(c_246493,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246429,c_155,c_235479]) ).
tcf(c_246501,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246420,c_155,c_235479]) ).
tcf(c_246509,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246419,c_155,c_235479]) ).
tcf(c_246567,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246439,c_196]) ).
tcf(c_246568,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK11),sz10)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246439,c_199]) ).
tcf(c_246570,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(sdtpldt0(xn,sK11),X0) ),
inference(superposition,[status(thm)],[c_246439,c_180]) ).
tcf(c_246571,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246439,c_176]) ).
tcf(c_246574,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246571,c_155,c_235479]) ).
tcf(c_246575,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246570,c_155,c_235479]) ).
tcf(c_246579,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK11),sz10)) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246568,c_156,c_155,c_235479]) ).
tcf(c_246580,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246567,c_156,c_155,c_235479]) ).
tcf(c_246583,plain,
( ( sdtpldt0(xn,sK11) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),sz10) ),
inference(superposition,[status(thm)],[c_246440,c_194]) ).
tcf(c_246584,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246440,c_165]) ).
tcf(c_246585,plain,
( iLess0(sz10,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246440,c_173]) ).
tcf(c_246586,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246440,c_193]) ).
tcf(c_246587,plain,
( iLess0(sz10,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246585,c_155,c_235479]) ).
tcf(c_246590,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246586,c_155,c_235479]) ).
tcf(c_246594,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246584,c_155,c_235479]) ).
tcf(c_246595,plain,
( ( sdtpldt0(xn,sK11) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246583,c_155,c_235479]) ).
tcf(c_246598,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_64]) ).
tcf(c_246599,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_62]) ).
tcf(c_246600,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_66]) ).
tcf(c_246606,plain,
( doDivides0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235639,c_272]) ).
tcf(c_246608,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),sK7(X0,sdtpldt0(xn,sK11))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_64]) ).
tcf(c_246609,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK11)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_62]) ).
tcf(c_246610,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| doDivides0(sdtpldt0(xn,sK11),X0)
| sP1(X1,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_66]) ).
tcf(c_246611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235639,c_141]) ).
tcf(c_246612,plain,
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235639,c_137]) ).
tcf(c_246613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(superposition,[status(thm)],[c_235639,c_141]) ).
tcf(c_246614,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),X0) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_145]) ).
tcf(c_246615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235639,c_139]) ).
tcf(c_246616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sdtpldt0(xn,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235639,c_139]) ).
tcf(c_246617,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235639,c_146]) ).
tcf(c_246618,plain,
doDivides0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246606,c_155,c_235479]) ).
tcf(c_246619,plain,
sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246612,c_156,c_155,c_235479]) ).
tcf(c_246620,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246617,c_156,c_155,c_235479]) ).
tcf(c_246624,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK11),X0) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246614,c_235484,c_155,c_235479]) ).
tcf(c_246628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK11),X0),sdtpldt0(xn,sK11))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246616,c_235484,c_155,c_235479]) ).
tcf(c_246633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246615,c_235484,c_155,c_235479]) ).
tcf(c_246638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246613,c_156,c_155,c_235479]) ).
tcf(c_246643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246611,c_156,c_155,c_235479]) ).
tcf(c_246648,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246600,c_155,c_235479]) ).
tcf(c_246656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246599,c_155,c_235479]) ).
tcf(c_246664,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| doDivides0(sdtpldt0(xn,sK11),X0)
| sP1(X1,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246610,c_155,c_235479]) ).
tcf(c_246672,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK11)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246609,c_155,c_235479]) ).
tcf(c_246680,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246598,c_155,c_235479]) ).
tcf(c_246688,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK11))
| sP1(X1,sdtpldt0(xn,sK11))
| ( sdtasdt0(sdtpldt0(xn,sK11),sK7(X0,sdtpldt0(xn,sK11))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246608,c_155,c_235479]) ).
tcf(c_246711,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246618,c_196]) ).
tcf(c_246712,plain,
( ( sdtpldt0(xn,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK11),sdtsldt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246618,c_199]) ).
tcf(c_246715,plain,
( ( sdtasdt0(sdtpldt0(xn,sK11),sK20(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246618,c_176]) ).
tcf(c_246717,plain,
( doDivides0(sdtpldt0(xn,sK11),sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(sdtpldt0(xn,sK11),xn) ),
inference(superposition,[status(thm)],[c_246618,c_157]) ).
tcf(c_246718,plain,
sdtasdt0(sdtpldt0(xn,sK11),sK20(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246715,c_235479]) ).
tcf(c_246719,plain,
( doDivides0(sdtpldt0(xn,sK11),sK11)
| ~ doDivides0(sdtpldt0(xn,sK11),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246717,c_96,c_49,c_235479]) ).
tcf(c_246722,plain,
sdtasdt0(sdtpldt0(xn,sK11),sdtsldt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246712,c_235484,c_235479]) ).
tcf(c_246723,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246711,c_235484,c_235479]) ).
tcf(c_246727,plain,
( ( sdtpldt0(sdtpldt0(xn,sK11),sK19(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246619,c_165]) ).
tcf(c_246730,plain,
sdtpldt0(sdtpldt0(xn,sK11),sK19(sdtpldt0(xn,sK11),sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246727,c_235479]) ).
tcf(c_246731,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235640,c_65]) ).
tcf(c_246732,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235640,c_63]) ).
tcf(c_246733,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235640,c_67]) ).
tcf(c_246738,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235640,c_275]) ).
tcf(c_246740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235640,c_162]) ).
tcf(c_246743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(superposition,[status(thm)],[c_235640,c_160]) ).
tcf(c_246744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235640,c_160]) ).
tcf(c_246745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtpldt0(X0,sdtpldt0(xn,sK11)) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235640,c_167]) ).
tcf(c_246746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235640,c_162]) ).
tcf(c_246747,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235640,c_166]) ).
tcf(c_246748,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246738,c_151,c_235479]) ).
tcf(c_246749,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246747,c_151,c_235479]) ).
tcf(c_246753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK11)) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246745,c_151,c_235479]) ).
tcf(c_246757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,sdtpldt0(xn,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246746,c_151,c_235479]) ).
tcf(c_246762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK11)),sdtpldt0(xn,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246740,c_151,c_235479]) ).
tcf(c_246767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246744,c_151,c_235479]) ).
tcf(c_246772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246743,c_151,c_235479]) ).
tcf(c_246778,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246732,c_235642]) ).
tcf(c_246779,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246778,c_151,c_235479]) ).
tcf(c_246786,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246731,c_235642]) ).
tcf(c_246787,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246786,c_151,c_235479]) ).
tcf(c_246808,plain,
( ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),sz00) ),
inference(superposition,[status(thm)],[c_246748,c_194]) ).
tcf(c_246809,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246748,c_165]) ).
tcf(c_246810,plain,
( iLess0(sz00,sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246748,c_173]) ).
tcf(c_246811,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_246748,c_193]) ).
tcf(c_246812,plain,
iLess0(sz00,sdtpldt0(xn,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_246810,c_235484,c_151,c_235479]) ).
tcf(c_246813,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246811,c_151,c_235479]) ).
tcf(c_246817,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK11))) = sdtpldt0(xn,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_246809,c_151,c_235479]) ).
tcf(c_246818,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK11),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_246808,c_235484,c_151,c_235479]) ).
tcf(c_246823,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_64]) ).
tcf(c_246824,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_62]) ).
tcf(c_246825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_66]) ).
tcf(c_246828,plain,
( ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_195830,c_142]) ).
tcf(c_246833,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_64]) ).
tcf(c_246834,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_62]) ).
tcf(c_246835,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_66]) ).
tcf(c_246836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK12)),sz00)
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_195830,c_141]) ).
tcf(c_246837,plain,
( sdtlseqdt0(sK12,sz00)
| ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_195830,c_137]) ).
tcf(c_246838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK12)))
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_195830,c_141]) ).
tcf(c_246839,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_145]) ).
tcf(c_246840,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK12),X0) ),
inference(superposition,[status(thm)],[c_195830,c_139]) ).
tcf(c_246841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK12)) ),
inference(superposition,[status(thm)],[c_195830,c_139]) ).
tcf(c_246842,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK12)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195830,c_146]) ).
tcf(c_246843,plain,
( ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246828,c_104]) ).
tcf(c_246848,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ( sdtasdt0(sK12,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246839,c_104]) ).
tcf(c_246854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK12,X0),sz00)
| ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246841,c_104]) ).
tcf(c_246861,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK12,X0))
| ( sz00 = sK12 )
| ( sdtsldt0(sz00,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246840,c_104]) ).
tcf(c_246868,plain,
! [X0: $i] :
( ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK12)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246842,c_104]) ).
tcf(c_246875,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK12)))
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246838,c_104]) ).
tcf(c_246883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK12)),sz00)
| ( sz00 = sK12 )
| ( X0 = sK12 )
| ( sdtsldt0(sz00,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246836,c_104]) ).
tcf(c_246891,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| doDivides0(sK12,X0)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246835,c_104]) ).
tcf(c_246901,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| aNaturalNumber0(sK7(X0,sK12))
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246834,c_104]) ).
tcf(c_246911,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246825,c_104]) ).
tcf(c_246921,plain,
! [X0: $i,X1: $i] :
( sP0(sK12)
| sP1(X1,sK12)
| ( sz00 = sK12 )
| ( sdtasdt0(sK12,sK7(X0,sK12)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK12),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246833,c_104]) ).
tcf(c_246931,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK12,X0))
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246824,c_104]) ).
tcf(c_246941,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK12),X0)
| ( sz00 = sK12 )
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sK12,sdtsldt0(sz00,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246823,c_104]) ).
tcf(c_246981,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_65]) ).
tcf(c_246982,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_63]) ).
tcf(c_246983,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_67]) ).
tcf(c_246990,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_65]) ).
tcf(c_246991,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_63]) ).
tcf(c_246992,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK11,sz00)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_235641,c_67]) ).
tcf(c_246993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235641,c_162]) ).
tcf(c_246995,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ doDivides0(X0,sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235641,c_157]) ).
tcf(c_246996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235641,c_160]) ).
tcf(c_246997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(xn,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11)) ),
inference(superposition,[status(thm)],[c_235641,c_160]) ).
tcf(c_246998,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235641,c_167]) ).
tcf(c_246999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(superposition,[status(thm)],[c_235641,c_162]) ).
tcf(c_247000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ( sdtpldt0(sdtpldt0(xn,sK11),X0) != sdtpldt0(xn,sK11) ) ),
inference(superposition,[status(thm)],[c_235641,c_166]) ).
tcf(c_247001,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246995,c_151,c_235479]) ).
tcf(c_247005,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK11),X0) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247000,c_151,c_235479]) ).
tcf(c_247009,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246998,c_151,c_235479]) ).
tcf(c_247013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(xn,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246997,c_151,c_235479]) ).
tcf(c_247018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246996,c_151,c_235479]) ).
tcf(c_247023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246999,c_151,c_235479]) ).
tcf(c_247028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK11))
| ( sdtpldt0(xn,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246993,c_151,c_235479]) ).
tcf(c_247033,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK11,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246992,c_96,c_151,c_49]) ).
tcf(c_247039,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246991,c_96,c_151,c_49]) ).
tcf(c_247045,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK11))
| ~ iLess0(sdtpldt0(xn,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_246990,c_96,c_151,c_49]) ).
tcf(c_247051,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246983,c_235643]) ).
tcf(c_247052,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247051,c_151,c_235479]) ).
tcf(c_247059,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246982,c_235643]) ).
tcf(c_247060,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK11),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247059,c_151,c_235479]) ).
tcf(c_247067,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_246981,c_235643]) ).
tcf(c_247068,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK11),X0)) = sdtpldt0(xn,sK11) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247067,c_151,c_235479]) ).
tcf(c_247133,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_64]) ).
tcf(c_247134,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_62]) ).
tcf(c_247135,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_66]) ).
tcf(c_247141,plain,
( doDivides0(sz10,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236467,c_272]) ).
tcf(c_247143,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_64]) ).
tcf(c_247144,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_62]) ).
tcf(c_247145,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_66]) ).
tcf(c_247146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236467,c_141]) ).
tcf(c_247147,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236467,c_137]) ).
tcf(c_247148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236467,c_141]) ).
tcf(c_247149,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_145]) ).
tcf(c_247150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(superposition,[status(thm)],[c_236467,c_139]) ).
tcf(c_247151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236467,c_139]) ).
tcf(c_247152,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(X0,sdtpldt0(xn,sK12)) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236467,c_146]) ).
tcf(c_247153,plain,
doDivides0(sz10,sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247141,c_155,c_235887]) ).
tcf(c_247154,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247147,c_235892,c_155,c_235887]) ).
tcf(c_247155,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247149,c_156,c_155,c_235887]) ).
tcf(c_247159,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK12)) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247152,c_235892,c_155,c_235887]) ).
tcf(c_247163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247151,c_156,c_155,c_235887]) ).
tcf(c_247168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247150,c_156,c_155,c_235887]) ).
tcf(c_247173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247148,c_235892,c_155,c_235887]) ).
tcf(c_247178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247146,c_235892,c_155,c_235887]) ).
tcf(c_247183,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247145,c_155,c_235887]) ).
tcf(c_247191,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247144,c_155,c_235887]) ).
tcf(c_247199,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247135,c_155,c_235887]) ).
tcf(c_247207,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247143,c_155,c_235887]) ).
tcf(c_247215,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247134,c_155,c_235887]) ).
tcf(c_247223,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247133,c_155,c_235887]) ).
tcf(c_247231,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247153,c_196]) ).
tcf(c_247232,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK12),sz10)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247153,c_199]) ).
tcf(c_247234,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(sdtpldt0(xn,sK12),X0) ),
inference(superposition,[status(thm)],[c_247153,c_180]) ).
tcf(c_247235,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247153,c_176]) ).
tcf(c_247238,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247235,c_155,c_235887]) ).
tcf(c_247239,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247234,c_155,c_235887]) ).
tcf(c_247243,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK12),sz10)) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247232,c_156,c_155,c_235887]) ).
tcf(c_247244,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247231,c_156,c_155,c_235887]) ).
tcf(c_247247,plain,
( ( sdtpldt0(xn,sK12) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),sz10) ),
inference(superposition,[status(thm)],[c_247154,c_194]) ).
tcf(c_247248,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247154,c_165]) ).
tcf(c_247249,plain,
( iLess0(sz10,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247154,c_173]) ).
tcf(c_247250,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247154,c_193]) ).
tcf(c_247251,plain,
( iLess0(sz10,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247249,c_155,c_235887]) ).
tcf(c_247254,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247250,c_155,c_235887]) ).
tcf(c_247258,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247248,c_155,c_235887]) ).
tcf(c_247259,plain,
( ( sdtpldt0(xn,sK12) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247247,c_155,c_235887]) ).
tcf(c_247262,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_64]) ).
tcf(c_247263,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_62]) ).
tcf(c_247264,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_66]) ).
tcf(c_247270,plain,
( doDivides0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236468,c_272]) ).
tcf(c_247272,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),sK7(X0,sdtpldt0(xn,sK12))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_64]) ).
tcf(c_247273,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK12)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_62]) ).
tcf(c_247274,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| doDivides0(sdtpldt0(xn,sK12),X0)
| sP1(X1,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_66]) ).
tcf(c_247275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236468,c_141]) ).
tcf(c_247276,plain,
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236468,c_137]) ).
tcf(c_247277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(superposition,[status(thm)],[c_236468,c_141]) ).
tcf(c_247278,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),X0) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_145]) ).
tcf(c_247279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236468,c_139]) ).
tcf(c_247280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sdtpldt0(xn,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236468,c_139]) ).
tcf(c_247281,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236468,c_146]) ).
tcf(c_247282,plain,
doDivides0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247270,c_155,c_235887]) ).
tcf(c_247283,plain,
sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247276,c_156,c_155,c_235887]) ).
tcf(c_247284,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247281,c_156,c_155,c_235887]) ).
tcf(c_247288,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK12),X0) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247278,c_235892,c_155,c_235887]) ).
tcf(c_247292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK12),X0),sdtpldt0(xn,sK12))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247280,c_235892,c_155,c_235887]) ).
tcf(c_247297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247279,c_235892,c_155,c_235887]) ).
tcf(c_247302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247277,c_156,c_155,c_235887]) ).
tcf(c_247307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247275,c_156,c_155,c_235887]) ).
tcf(c_247312,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247264,c_155,c_235887]) ).
tcf(c_247320,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247263,c_155,c_235887]) ).
tcf(c_247328,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| doDivides0(sdtpldt0(xn,sK12),X0)
| sP1(X1,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247274,c_155,c_235887]) ).
tcf(c_247336,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK12)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247273,c_155,c_235887]) ).
tcf(c_247344,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247262,c_155,c_235887]) ).
tcf(c_247352,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK12))
| sP1(X1,sdtpldt0(xn,sK12))
| ( sdtasdt0(sdtpldt0(xn,sK12),sK7(X0,sdtpldt0(xn,sK12))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247272,c_155,c_235887]) ).
tcf(c_247399,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247282,c_196]) ).
tcf(c_247400,plain,
( ( sdtpldt0(xn,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK12),sdtsldt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247282,c_199]) ).
tcf(c_247403,plain,
( ( sdtasdt0(sdtpldt0(xn,sK12),sK20(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247282,c_176]) ).
tcf(c_247405,plain,
( doDivides0(sdtpldt0(xn,sK12),sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(sdtpldt0(xn,sK12),xn) ),
inference(superposition,[status(thm)],[c_247282,c_157]) ).
tcf(c_247406,plain,
sdtasdt0(sdtpldt0(xn,sK12),sK20(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247403,c_235887]) ).
tcf(c_247407,plain,
( doDivides0(sdtpldt0(xn,sK12),sK12)
| ~ doDivides0(sdtpldt0(xn,sK12),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247405,c_104,c_49,c_235887]) ).
tcf(c_247410,plain,
sdtasdt0(sdtpldt0(xn,sK12),sdtsldt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247400,c_235892,c_235887]) ).
tcf(c_247411,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247399,c_235892,c_235887]) ).
tcf(c_247415,plain,
( ( sdtpldt0(sdtpldt0(xn,sK12),sK19(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247283,c_165]) ).
tcf(c_247418,plain,
sdtpldt0(sdtpldt0(xn,sK12),sK19(sdtpldt0(xn,sK12),sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247415,c_235887]) ).
tcf(c_247419,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236469,c_65]) ).
tcf(c_247420,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236469,c_63]) ).
tcf(c_247421,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236469,c_67]) ).
tcf(c_247426,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236469,c_275]) ).
tcf(c_247428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236469,c_162]) ).
tcf(c_247431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(superposition,[status(thm)],[c_236469,c_160]) ).
tcf(c_247432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236469,c_160]) ).
tcf(c_247433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtpldt0(X0,sdtpldt0(xn,sK12)) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236469,c_167]) ).
tcf(c_247434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236469,c_162]) ).
tcf(c_247435,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236469,c_166]) ).
tcf(c_247436,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247426,c_151,c_235887]) ).
tcf(c_247437,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247435,c_151,c_235887]) ).
tcf(c_247441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK12)) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247433,c_151,c_235887]) ).
tcf(c_247445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,sdtpldt0(xn,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247434,c_151,c_235887]) ).
tcf(c_247450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK12)),sdtpldt0(xn,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247428,c_151,c_235887]) ).
tcf(c_247455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247432,c_151,c_235887]) ).
tcf(c_247460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247431,c_151,c_235887]) ).
tcf(c_247466,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_247420,c_236471]) ).
tcf(c_247467,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247466,c_151,c_235887]) ).
tcf(c_247474,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_247419,c_236471]) ).
tcf(c_247475,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247474,c_151,c_235887]) ).
tcf(c_247482,plain,
( ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),sz00) ),
inference(superposition,[status(thm)],[c_247436,c_194]) ).
tcf(c_247483,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247436,c_165]) ).
tcf(c_247484,plain,
( iLess0(sz00,sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247436,c_173]) ).
tcf(c_247485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_247436,c_193]) ).
tcf(c_247486,plain,
iLess0(sz00,sdtpldt0(xn,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_247484,c_235892,c_151,c_235887]) ).
tcf(c_247487,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247485,c_151,c_235887]) ).
tcf(c_247491,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK12))) = sdtpldt0(xn,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_247483,c_151,c_235887]) ).
tcf(c_247492,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK12),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_247482,c_235892,c_151,c_235887]) ).
tcf(c_247499,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_65]) ).
tcf(c_247500,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_63]) ).
tcf(c_247501,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_67]) ).
tcf(c_247508,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_65]) ).
tcf(c_247509,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_63]) ).
tcf(c_247510,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK12,sz00)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236470,c_67]) ).
tcf(c_247511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236470,c_162]) ).
tcf(c_247513,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ doDivides0(X0,sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236470,c_157]) ).
tcf(c_247514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236470,c_160]) ).
tcf(c_247515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(xn,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12)) ),
inference(superposition,[status(thm)],[c_236470,c_160]) ).
tcf(c_247516,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236470,c_167]) ).
tcf(c_247517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(superposition,[status(thm)],[c_236470,c_162]) ).
tcf(c_247518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ( sdtpldt0(sdtpldt0(xn,sK12),X0) != sdtpldt0(xn,sK12) ) ),
inference(superposition,[status(thm)],[c_236470,c_166]) ).
tcf(c_247519,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247513,c_151,c_235887]) ).
tcf(c_247523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK12),X0) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247518,c_151,c_235887]) ).
tcf(c_247527,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247516,c_151,c_235887]) ).
tcf(c_247531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(xn,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247515,c_151,c_235887]) ).
tcf(c_247536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247514,c_151,c_235887]) ).
tcf(c_247541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247517,c_151,c_235887]) ).
tcf(c_247546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK12))
| ( sdtpldt0(xn,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247511,c_151,c_235887]) ).
tcf(c_247551,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK12,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247510,c_104,c_151,c_49]) ).
tcf(c_247557,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247509,c_104,c_151,c_49]) ).
tcf(c_247563,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK12))
| ~ iLess0(sdtpldt0(xn,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247508,c_104,c_151,c_49]) ).
tcf(c_247569,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_247501,c_236472]) ).
tcf(c_247570,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247569,c_151,c_235887]) ).
tcf(c_247577,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_247500,c_236472]) ).
tcf(c_247578,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK12),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247577,c_151,c_235887]) ).
tcf(c_247585,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_247499,c_236472]) ).
tcf(c_247586,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK12),X0)) = sdtpldt0(xn,sK12) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247585,c_151,c_235887]) ).
tcf(c_247650,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_64]) ).
tcf(c_247651,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_62]) ).
tcf(c_247652,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_66]) ).
tcf(c_247658,plain,
( doDivides0(sz10,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236645,c_272]) ).
tcf(c_247660,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_64]) ).
tcf(c_247661,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_62]) ).
tcf(c_247662,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_66]) ).
tcf(c_247663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236645,c_141]) ).
tcf(c_247664,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236645,c_137]) ).
tcf(c_247665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236645,c_141]) ).
tcf(c_247666,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_145]) ).
tcf(c_247667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(superposition,[status(thm)],[c_236645,c_139]) ).
tcf(c_247668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236645,c_139]) ).
tcf(c_247669,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(X0,sdtpldt0(xn,sK13)) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236645,c_146]) ).
tcf(c_247670,plain,
doDivides0(sz10,sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_247658,c_155,c_236573]) ).
tcf(c_247671,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_247664,c_236578,c_155,c_236573]) ).
tcf(c_247672,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247666,c_156,c_155,c_236573]) ).
tcf(c_247676,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK13)) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247669,c_236578,c_155,c_236573]) ).
tcf(c_247680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247668,c_156,c_155,c_236573]) ).
tcf(c_247685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247667,c_156,c_155,c_236573]) ).
tcf(c_247690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247665,c_236578,c_155,c_236573]) ).
tcf(c_247695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247663,c_236578,c_155,c_236573]) ).
tcf(c_247700,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247662,c_155,c_236573]) ).
tcf(c_247708,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247661,c_155,c_236573]) ).
tcf(c_247716,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247652,c_155,c_236573]) ).
tcf(c_247724,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247660,c_155,c_236573]) ).
tcf(c_247732,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247651,c_155,c_236573]) ).
tcf(c_247740,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247650,c_155,c_236573]) ).
tcf(c_247748,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247670,c_196]) ).
tcf(c_247749,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK13),sz10)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247670,c_199]) ).
tcf(c_247751,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(sdtpldt0(xn,sK13),X0) ),
inference(superposition,[status(thm)],[c_247670,c_180]) ).
tcf(c_247752,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247670,c_176]) ).
tcf(c_247755,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_247752,c_155,c_236573]) ).
tcf(c_247756,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247751,c_155,c_236573]) ).
tcf(c_247760,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK13),sz10)) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_247749,c_156,c_155,c_236573]) ).
tcf(c_247761,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247748,c_156,c_155,c_236573]) ).
tcf(c_247764,plain,
( ( sdtpldt0(xn,sK13) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),sz10) ),
inference(superposition,[status(thm)],[c_247671,c_194]) ).
tcf(c_247765,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247671,c_165]) ).
tcf(c_247766,plain,
( iLess0(sz10,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247671,c_173]) ).
tcf(c_247767,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247671,c_193]) ).
tcf(c_247768,plain,
( iLess0(sz10,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247766,c_155,c_236573]) ).
tcf(c_247771,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247767,c_155,c_236573]) ).
tcf(c_247775,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_247765,c_155,c_236573]) ).
tcf(c_247776,plain,
( ( sdtpldt0(xn,sK13) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247764,c_155,c_236573]) ).
tcf(c_247783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_64]) ).
tcf(c_247784,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_62]) ).
tcf(c_247785,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_66]) ).
tcf(c_247788,plain,
( ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_195833,c_142]) ).
tcf(c_247793,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_64]) ).
tcf(c_247794,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_62]) ).
tcf(c_247795,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_66]) ).
tcf(c_247796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK11)),sz00)
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_195833,c_141]) ).
tcf(c_247797,plain,
( sdtlseqdt0(sK11,sz00)
| ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_195833,c_137]) ).
tcf(c_247798,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK11)))
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_195833,c_141]) ).
tcf(c_247799,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_145]) ).
tcf(c_247800,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK11),X0) ),
inference(superposition,[status(thm)],[c_195833,c_139]) ).
tcf(c_247801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK11)) ),
inference(superposition,[status(thm)],[c_195833,c_139]) ).
tcf(c_247802,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK11)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195833,c_146]) ).
tcf(c_247803,plain,
( ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247788,c_96]) ).
tcf(c_247808,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ( sdtasdt0(sK11,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247799,c_96]) ).
tcf(c_247814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK11,X0),sz00)
| ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247801,c_96]) ).
tcf(c_247821,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK11,X0))
| ( sz00 = sK11 )
| ( sdtsldt0(sz00,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247800,c_96]) ).
tcf(c_247828,plain,
! [X0: $i] :
( ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK11)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247802,c_96]) ).
tcf(c_247835,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK11)))
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247798,c_96]) ).
tcf(c_247843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK11)),sz00)
| ( sz00 = sK11 )
| ( X0 = sK11 )
| ( sdtsldt0(sz00,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247796,c_96]) ).
tcf(c_247851,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| doDivides0(sK11,X0)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247795,c_96]) ).
tcf(c_247861,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| aNaturalNumber0(sK7(X0,sK11))
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247794,c_96]) ).
tcf(c_247871,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247785,c_96]) ).
tcf(c_247881,plain,
! [X0: $i,X1: $i] :
( sP0(sK11)
| sP1(X1,sK11)
| ( sz00 = sK11 )
| ( sdtasdt0(sK11,sK7(X0,sK11)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK11),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247793,c_96]) ).
tcf(c_247891,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK11,X0))
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247784,c_96]) ).
tcf(c_247901,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK11),X0)
| ( sz00 = sK11 )
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sK11,sdtsldt0(sz00,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247783,c_96]) ).
tcf(c_247911,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_64]) ).
tcf(c_247912,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_62]) ).
tcf(c_247913,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_66]) ).
tcf(c_247919,plain,
( doDivides0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236646,c_272]) ).
tcf(c_247921,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),sK7(X0,sdtpldt0(xn,sK13))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_64]) ).
tcf(c_247922,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK13)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_62]) ).
tcf(c_247923,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| doDivides0(sdtpldt0(xn,sK13),X0)
| sP1(X1,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_66]) ).
tcf(c_247924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236646,c_141]) ).
tcf(c_247925,plain,
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236646,c_137]) ).
tcf(c_247926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(superposition,[status(thm)],[c_236646,c_141]) ).
tcf(c_247927,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),X0) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_145]) ).
tcf(c_247928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236646,c_139]) ).
tcf(c_247929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sdtpldt0(xn,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236646,c_139]) ).
tcf(c_247930,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236646,c_146]) ).
tcf(c_247931,plain,
doDivides0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_247919,c_155,c_236573]) ).
tcf(c_247932,plain,
sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_247925,c_156,c_155,c_236573]) ).
tcf(c_247933,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247930,c_156,c_155,c_236573]) ).
tcf(c_247937,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK13),X0) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247927,c_236578,c_155,c_236573]) ).
tcf(c_247941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK13),X0),sdtpldt0(xn,sK13))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247929,c_236578,c_155,c_236573]) ).
tcf(c_247946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247928,c_236578,c_155,c_236573]) ).
tcf(c_247951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247926,c_156,c_155,c_236573]) ).
tcf(c_247956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247924,c_156,c_155,c_236573]) ).
tcf(c_247961,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247913,c_155,c_236573]) ).
tcf(c_247969,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247912,c_155,c_236573]) ).
tcf(c_247977,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| doDivides0(sdtpldt0(xn,sK13),X0)
| sP1(X1,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247923,c_155,c_236573]) ).
tcf(c_247985,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK13)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247922,c_155,c_236573]) ).
tcf(c_247993,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247911,c_155,c_236573]) ).
tcf(c_248001,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK13))
| sP1(X1,sdtpldt0(xn,sK13))
| ( sdtasdt0(sdtpldt0(xn,sK13),sK7(X0,sdtpldt0(xn,sK13))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247921,c_155,c_236573]) ).
tcf(c_248048,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247931,c_196]) ).
tcf(c_248049,plain,
( ( sdtpldt0(xn,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK13),sdtsldt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247931,c_199]) ).
tcf(c_248052,plain,
( ( sdtasdt0(sdtpldt0(xn,sK13),sK20(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247931,c_176]) ).
tcf(c_248054,plain,
( doDivides0(sdtpldt0(xn,sK13),sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(sdtpldt0(xn,sK13),xn) ),
inference(superposition,[status(thm)],[c_247931,c_157]) ).
tcf(c_248055,plain,
sdtasdt0(sdtpldt0(xn,sK13),sK20(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_248052,c_236573]) ).
tcf(c_248056,plain,
( doDivides0(sdtpldt0(xn,sK13),sK13)
| ~ doDivides0(sdtpldt0(xn,sK13),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248054,c_106,c_49,c_236573]) ).
tcf(c_248059,plain,
sdtasdt0(sdtpldt0(xn,sK13),sdtsldt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_248049,c_236578,c_236573]) ).
tcf(c_248060,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248048,c_236578,c_236573]) ).
tcf(c_248085,plain,
( ( sdtpldt0(sdtpldt0(xn,sK13),sK19(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_247932,c_165]) ).
tcf(c_248088,plain,
sdtpldt0(sdtpldt0(xn,sK13),sK19(sdtpldt0(xn,sK13),sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_248085,c_236573]) ).
tcf(c_248190,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236647,c_65]) ).
tcf(c_248191,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236647,c_63]) ).
tcf(c_248192,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236647,c_67]) ).
tcf(c_248197,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236647,c_275]) ).
tcf(c_248199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236647,c_162]) ).
tcf(c_248202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(superposition,[status(thm)],[c_236647,c_160]) ).
tcf(c_248203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236647,c_160]) ).
tcf(c_248204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtpldt0(X0,sdtpldt0(xn,sK13)) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236647,c_167]) ).
tcf(c_248205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236647,c_162]) ).
tcf(c_248206,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236647,c_166]) ).
tcf(c_248207,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_248197,c_151,c_236573]) ).
tcf(c_248208,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248206,c_151,c_236573]) ).
tcf(c_248212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK13)) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248204,c_151,c_236573]) ).
tcf(c_248216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,sdtpldt0(xn,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248205,c_151,c_236573]) ).
tcf(c_248221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK13)),sdtpldt0(xn,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248199,c_151,c_236573]) ).
tcf(c_248226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248203,c_151,c_236573]) ).
tcf(c_248231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248202,c_151,c_236573]) ).
tcf(c_248237,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248191,c_236649]) ).
tcf(c_248238,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248237,c_151,c_236573]) ).
tcf(c_248245,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248190,c_236649]) ).
tcf(c_248246,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248245,c_151,c_236573]) ).
tcf(c_248276,plain,
( ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),sz00) ),
inference(superposition,[status(thm)],[c_248207,c_194]) ).
tcf(c_248277,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_248207,c_165]) ).
tcf(c_248278,plain,
( iLess0(sz00,sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_248207,c_173]) ).
tcf(c_248279,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_248207,c_193]) ).
tcf(c_248280,plain,
iLess0(sz00,sdtpldt0(xn,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_248278,c_236578,c_151,c_236573]) ).
tcf(c_248281,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248279,c_151,c_236573]) ).
tcf(c_248285,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK13))) = sdtpldt0(xn,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_248277,c_151,c_236573]) ).
tcf(c_248286,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK13),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248276,c_236578,c_151,c_236573]) ).
tcf(c_248346,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_65]) ).
tcf(c_248347,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_63]) ).
tcf(c_248348,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_67]) ).
tcf(c_248355,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_65]) ).
tcf(c_248356,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_63]) ).
tcf(c_248357,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK13,sz00)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236648,c_67]) ).
tcf(c_248358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236648,c_162]) ).
tcf(c_248360,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ doDivides0(X0,sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236648,c_157]) ).
tcf(c_248361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236648,c_160]) ).
tcf(c_248362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(xn,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13)) ),
inference(superposition,[status(thm)],[c_236648,c_160]) ).
tcf(c_248363,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236648,c_167]) ).
tcf(c_248364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(superposition,[status(thm)],[c_236648,c_162]) ).
tcf(c_248365,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ( sdtpldt0(sdtpldt0(xn,sK13),X0) != sdtpldt0(xn,sK13) ) ),
inference(superposition,[status(thm)],[c_236648,c_166]) ).
tcf(c_248366,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248360,c_151,c_236573]) ).
tcf(c_248370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK13),X0) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248365,c_151,c_236573]) ).
tcf(c_248374,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248363,c_151,c_236573]) ).
tcf(c_248378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(xn,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248362,c_151,c_236573]) ).
tcf(c_248383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248361,c_151,c_236573]) ).
tcf(c_248388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248364,c_151,c_236573]) ).
tcf(c_248393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK13))
| ( sdtpldt0(xn,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248358,c_151,c_236573]) ).
tcf(c_248398,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK13,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248357,c_106,c_151,c_49]) ).
tcf(c_248404,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248356,c_106,c_151,c_49]) ).
tcf(c_248410,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK13))
| ~ iLess0(sdtpldt0(xn,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248355,c_106,c_151,c_49]) ).
tcf(c_248416,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248348,c_236650]) ).
tcf(c_248417,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248416,c_151,c_236573]) ).
tcf(c_248424,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248347,c_236650]) ).
tcf(c_248425,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK13),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248424,c_151,c_236573]) ).
tcf(c_248432,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248346,c_236650]) ).
tcf(c_248433,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK13),X0)) = sdtpldt0(xn,sK13) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248432,c_151,c_236573]) ).
tcf(c_248440,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_64]) ).
tcf(c_248441,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_62]) ).
tcf(c_248442,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_66]) ).
tcf(c_248448,plain,
( doDivides0(sz10,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236776,c_272]) ).
tcf(c_248450,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_64]) ).
tcf(c_248451,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_62]) ).
tcf(c_248452,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_66]) ).
tcf(c_248453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236776,c_141]) ).
tcf(c_248454,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236776,c_137]) ).
tcf(c_248455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236776,c_141]) ).
tcf(c_248456,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_145]) ).
tcf(c_248457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(superposition,[status(thm)],[c_236776,c_139]) ).
tcf(c_248458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236776,c_139]) ).
tcf(c_248459,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(X0,sdtpldt0(xn,sK14)) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236776,c_146]) ).
tcf(c_248460,plain,
doDivides0(sz10,sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248448,c_155,c_236704]) ).
tcf(c_248461,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248454,c_236709,c_155,c_236704]) ).
tcf(c_248462,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248456,c_156,c_155,c_236704]) ).
tcf(c_248466,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK14)) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248459,c_236709,c_155,c_236704]) ).
tcf(c_248470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248458,c_156,c_155,c_236704]) ).
tcf(c_248475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248457,c_156,c_155,c_236704]) ).
tcf(c_248480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248455,c_236709,c_155,c_236704]) ).
tcf(c_248485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248453,c_236709,c_155,c_236704]) ).
tcf(c_248490,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248452,c_155,c_236704]) ).
tcf(c_248498,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248451,c_155,c_236704]) ).
tcf(c_248506,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248442,c_155,c_236704]) ).
tcf(c_248514,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248450,c_155,c_236704]) ).
tcf(c_248522,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248441,c_155,c_236704]) ).
tcf(c_248530,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248440,c_155,c_236704]) ).
tcf(c_248538,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248460,c_196]) ).
tcf(c_248539,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK14),sz10)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248460,c_199]) ).
tcf(c_248541,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(sdtpldt0(xn,sK14),X0) ),
inference(superposition,[status(thm)],[c_248460,c_180]) ).
tcf(c_248542,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248460,c_176]) ).
tcf(c_248545,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248542,c_155,c_236704]) ).
tcf(c_248546,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248541,c_155,c_236704]) ).
tcf(c_248550,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK14),sz10)) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248539,c_156,c_155,c_236704]) ).
tcf(c_248551,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248538,c_156,c_155,c_236704]) ).
tcf(c_248581,plain,
( ( sdtpldt0(xn,sK14) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),sz10) ),
inference(superposition,[status(thm)],[c_248461,c_194]) ).
tcf(c_248582,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248461,c_165]) ).
tcf(c_248583,plain,
( iLess0(sz10,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248461,c_173]) ).
tcf(c_248584,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248461,c_193]) ).
tcf(c_248585,plain,
( iLess0(sz10,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248583,c_155,c_236704]) ).
tcf(c_248588,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248584,c_155,c_236704]) ).
tcf(c_248592,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248582,c_155,c_236704]) ).
tcf(c_248593,plain,
( ( sdtpldt0(xn,sK14) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248581,c_155,c_236704]) ).
tcf(c_248596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_64]) ).
tcf(c_248597,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_62]) ).
tcf(c_248598,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_66]) ).
tcf(c_248604,plain,
( doDivides0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236777,c_272]) ).
tcf(c_248606,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),sK7(X0,sdtpldt0(xn,sK14))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_64]) ).
tcf(c_248607,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK14)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_62]) ).
tcf(c_248608,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| doDivides0(sdtpldt0(xn,sK14),X0)
| sP1(X1,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_66]) ).
tcf(c_248609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236777,c_141]) ).
tcf(c_248610,plain,
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236777,c_137]) ).
tcf(c_248611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(superposition,[status(thm)],[c_236777,c_141]) ).
tcf(c_248612,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),X0) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_145]) ).
tcf(c_248613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236777,c_139]) ).
tcf(c_248614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sdtpldt0(xn,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236777,c_139]) ).
tcf(c_248615,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236777,c_146]) ).
tcf(c_248616,plain,
doDivides0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248604,c_155,c_236704]) ).
tcf(c_248617,plain,
sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248610,c_156,c_155,c_236704]) ).
tcf(c_248618,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248615,c_156,c_155,c_236704]) ).
tcf(c_248622,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK14),X0) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248612,c_236709,c_155,c_236704]) ).
tcf(c_248626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK14),X0),sdtpldt0(xn,sK14))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248614,c_236709,c_155,c_236704]) ).
tcf(c_248631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248613,c_236709,c_155,c_236704]) ).
tcf(c_248636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248611,c_156,c_155,c_236704]) ).
tcf(c_248641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248609,c_156,c_155,c_236704]) ).
tcf(c_248646,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248598,c_155,c_236704]) ).
tcf(c_248654,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248597,c_155,c_236704]) ).
tcf(c_248662,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| doDivides0(sdtpldt0(xn,sK14),X0)
| sP1(X1,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248608,c_155,c_236704]) ).
tcf(c_248670,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK14)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248607,c_155,c_236704]) ).
tcf(c_248678,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248596,c_155,c_236704]) ).
tcf(c_248686,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK14))
| sP1(X1,sdtpldt0(xn,sK14))
| ( sdtasdt0(sdtpldt0(xn,sK14),sK7(X0,sdtpldt0(xn,sK14))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248606,c_155,c_236704]) ).
tcf(c_248694,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248616,c_196]) ).
tcf(c_248695,plain,
( ( sdtpldt0(xn,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK14),sdtsldt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248616,c_199]) ).
tcf(c_248698,plain,
( ( sdtasdt0(sdtpldt0(xn,sK14),sK20(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248616,c_176]) ).
tcf(c_248700,plain,
( doDivides0(sdtpldt0(xn,sK14),sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(sdtpldt0(xn,sK14),xn) ),
inference(superposition,[status(thm)],[c_248616,c_157]) ).
tcf(c_248701,plain,
sdtasdt0(sdtpldt0(xn,sK14),sK20(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248698,c_236704]) ).
tcf(c_248702,plain,
( doDivides0(sdtpldt0(xn,sK14),sK14)
| ~ doDivides0(sdtpldt0(xn,sK14),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248700,c_110,c_49,c_236704]) ).
tcf(c_248705,plain,
sdtasdt0(sdtpldt0(xn,sK14),sdtsldt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248695,c_236709,c_236704]) ).
tcf(c_248706,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248694,c_236709,c_236704]) ).
tcf(c_248738,plain,
( ( sdtpldt0(sdtpldt0(xn,sK14),sK19(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248617,c_165]) ).
tcf(c_248741,plain,
sdtpldt0(sdtpldt0(xn,sK14),sK19(sdtpldt0(xn,sK14),sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248738,c_236704]) ).
tcf(c_248742,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236778,c_65]) ).
tcf(c_248743,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236778,c_63]) ).
tcf(c_248744,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236778,c_67]) ).
tcf(c_248749,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236778,c_275]) ).
tcf(c_248751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236778,c_162]) ).
tcf(c_248754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(superposition,[status(thm)],[c_236778,c_160]) ).
tcf(c_248755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236778,c_160]) ).
tcf(c_248756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtpldt0(X0,sdtpldt0(xn,sK14)) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236778,c_167]) ).
tcf(c_248757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236778,c_162]) ).
tcf(c_248758,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236778,c_166]) ).
tcf(c_248759,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248749,c_151,c_236704]) ).
tcf(c_248760,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248758,c_151,c_236704]) ).
tcf(c_248764,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK14)) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248756,c_151,c_236704]) ).
tcf(c_248768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,sdtpldt0(xn,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248757,c_151,c_236704]) ).
tcf(c_248773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK14)),sdtpldt0(xn,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248751,c_151,c_236704]) ).
tcf(c_248778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248755,c_151,c_236704]) ).
tcf(c_248783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248754,c_151,c_236704]) ).
tcf(c_248789,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248743,c_236780]) ).
tcf(c_248790,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248789,c_151,c_236704]) ).
tcf(c_248797,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248742,c_236780]) ).
tcf(c_248798,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248797,c_151,c_236704]) ).
tcf(c_248852,plain,
( ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),sz00) ),
inference(superposition,[status(thm)],[c_248759,c_194]) ).
tcf(c_248853,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248759,c_165]) ).
tcf(c_248854,plain,
( iLess0(sz00,sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248759,c_173]) ).
tcf(c_248855,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_248759,c_193]) ).
tcf(c_248856,plain,
iLess0(sz00,sdtpldt0(xn,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_248854,c_236709,c_151,c_236704]) ).
tcf(c_248857,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248855,c_151,c_236704]) ).
tcf(c_248861,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK14))) = sdtpldt0(xn,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_248853,c_151,c_236704]) ).
tcf(c_248862,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK14),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248852,c_236709,c_151,c_236704]) ).
tcf(c_248867,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_64]) ).
tcf(c_248868,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_62]) ).
tcf(c_248869,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_66]) ).
tcf(c_248872,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_195839,c_142]) ).
tcf(c_248877,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( xm = sz00 )
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_64]) ).
tcf(c_248878,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_62]) ).
tcf(c_248879,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_66]) ).
tcf(c_248880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_195839,c_141]) ).
tcf(c_248881,plain,
( sdtlseqdt0(xm,sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_195839,c_137]) ).
tcf(c_248882,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_195839,c_141]) ).
tcf(c_248883,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_145]) ).
tcf(c_248884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_195839,c_139]) ).
tcf(c_248885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_195839,c_139]) ).
tcf(c_248886,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195839,c_146]) ).
tcf(c_248887,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248872,c_50]) ).
tcf(c_248892,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248883,c_50]) ).
tcf(c_248898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248885,c_50]) ).
tcf(c_248905,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248884,c_50]) ).
tcf(c_248912,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248886,c_50]) ).
tcf(c_248919,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248882,c_50]) ).
tcf(c_248927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248880,c_50]) ).
tcf(c_248935,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248879,c_50]) ).
tcf(c_248945,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK7(X0,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248878,c_50]) ).
tcf(c_248955,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248869,c_50]) ).
tcf(c_248965,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( xm = sz00 )
| ( sdtasdt0(xm,sK7(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248877,c_50]) ).
tcf(c_248975,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xm,X0))
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248868,c_50]) ).
tcf(c_248985,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sdtsldt0(sz00,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248867,c_50]) ).
tcf(c_248997,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_65]) ).
tcf(c_248998,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_63]) ).
tcf(c_248999,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_67]) ).
tcf(c_249006,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_65]) ).
tcf(c_249007,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_63]) ).
tcf(c_249008,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK14,sz00)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236779,c_67]) ).
tcf(c_249009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236779,c_162]) ).
tcf(c_249011,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ doDivides0(X0,sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236779,c_157]) ).
tcf(c_249012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236779,c_160]) ).
tcf(c_249013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(xn,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14)) ),
inference(superposition,[status(thm)],[c_236779,c_160]) ).
tcf(c_249014,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236779,c_167]) ).
tcf(c_249015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(superposition,[status(thm)],[c_236779,c_162]) ).
tcf(c_249016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ( sdtpldt0(sdtpldt0(xn,sK14),X0) != sdtpldt0(xn,sK14) ) ),
inference(superposition,[status(thm)],[c_236779,c_166]) ).
tcf(c_249017,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249011,c_151,c_236704]) ).
tcf(c_249021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK14),X0) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249016,c_151,c_236704]) ).
tcf(c_249025,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249014,c_151,c_236704]) ).
tcf(c_249029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(xn,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249013,c_151,c_236704]) ).
tcf(c_249034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249012,c_151,c_236704]) ).
tcf(c_249039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249015,c_151,c_236704]) ).
tcf(c_249044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK14))
| ( sdtpldt0(xn,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249009,c_151,c_236704]) ).
tcf(c_249049,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK14,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249008,c_110,c_151,c_49]) ).
tcf(c_249055,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249007,c_110,c_151,c_49]) ).
tcf(c_249061,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK14))
| ~ iLess0(sdtpldt0(xn,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249006,c_110,c_151,c_49]) ).
tcf(c_249067,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248999,c_236781]) ).
tcf(c_249068,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249067,c_151,c_236704]) ).
tcf(c_249075,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248998,c_236781]) ).
tcf(c_249076,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK14),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249075,c_151,c_236704]) ).
tcf(c_249083,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_248997,c_236781]) ).
tcf(c_249084,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK14),X0)) = sdtpldt0(xn,sK14) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249083,c_151,c_236704]) ).
tcf(c_249091,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_64]) ).
tcf(c_249092,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_62]) ).
tcf(c_249093,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_66]) ).
tcf(c_249099,plain,
( doDivides0(sz10,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236942,c_272]) ).
tcf(c_249101,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_64]) ).
tcf(c_249102,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_62]) ).
tcf(c_249103,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_66]) ).
tcf(c_249104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236942,c_141]) ).
tcf(c_249105,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236942,c_137]) ).
tcf(c_249106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236942,c_141]) ).
tcf(c_249107,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_145]) ).
tcf(c_249108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(superposition,[status(thm)],[c_236942,c_139]) ).
tcf(c_249109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236942,c_139]) ).
tcf(c_249110,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(X0,sdtpldt0(xn,sK17)) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236942,c_146]) ).
tcf(c_249111,plain,
doDivides0(sz10,sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_249099,c_155,c_236870]) ).
tcf(c_249112,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_249105,c_236875,c_155,c_236870]) ).
tcf(c_249113,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249107,c_156,c_155,c_236870]) ).
tcf(c_249117,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK17)) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249110,c_236875,c_155,c_236870]) ).
tcf(c_249121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249109,c_156,c_155,c_236870]) ).
tcf(c_249126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249108,c_156,c_155,c_236870]) ).
tcf(c_249131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249106,c_236875,c_155,c_236870]) ).
tcf(c_249136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249104,c_236875,c_155,c_236870]) ).
tcf(c_249141,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249103,c_155,c_236870]) ).
tcf(c_249149,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249102,c_155,c_236870]) ).
tcf(c_249157,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249093,c_155,c_236870]) ).
tcf(c_249165,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249101,c_155,c_236870]) ).
tcf(c_249173,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249092,c_155,c_236870]) ).
tcf(c_249181,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249091,c_155,c_236870]) ).
tcf(c_249189,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249111,c_196]) ).
tcf(c_249190,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK17),sz10)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249111,c_199]) ).
tcf(c_249192,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(sdtpldt0(xn,sK17),X0) ),
inference(superposition,[status(thm)],[c_249111,c_180]) ).
tcf(c_249193,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249111,c_176]) ).
tcf(c_249196,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249193,c_155,c_236870]) ).
tcf(c_249197,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249192,c_155,c_236870]) ).
tcf(c_249201,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK17),sz10)) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249190,c_156,c_155,c_236870]) ).
tcf(c_249202,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249189,c_156,c_155,c_236870]) ).
tcf(c_249252,plain,
( ( sdtpldt0(xn,sK17) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),sz10) ),
inference(superposition,[status(thm)],[c_249112,c_194]) ).
tcf(c_249253,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249112,c_165]) ).
tcf(c_249254,plain,
( iLess0(sz10,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249112,c_173]) ).
tcf(c_249255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249112,c_193]) ).
tcf(c_249256,plain,
( iLess0(sz10,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249254,c_155,c_236870]) ).
tcf(c_249259,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249255,c_155,c_236870]) ).
tcf(c_249263,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249253,c_155,c_236870]) ).
tcf(c_249264,plain,
( ( sdtpldt0(xn,sK17) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249252,c_155,c_236870]) ).
tcf(c_249267,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_64]) ).
tcf(c_249268,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_62]) ).
tcf(c_249269,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_66]) ).
tcf(c_249275,plain,
( doDivides0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236943,c_272]) ).
tcf(c_249277,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),sK7(X0,sdtpldt0(xn,sK17))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_64]) ).
tcf(c_249278,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK17)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_62]) ).
tcf(c_249279,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| doDivides0(sdtpldt0(xn,sK17),X0)
| sP1(X1,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_66]) ).
tcf(c_249280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236943,c_141]) ).
tcf(c_249281,plain,
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236943,c_137]) ).
tcf(c_249282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(superposition,[status(thm)],[c_236943,c_141]) ).
tcf(c_249283,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),X0) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_145]) ).
tcf(c_249284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236943,c_139]) ).
tcf(c_249285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sdtpldt0(xn,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236943,c_139]) ).
tcf(c_249286,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236943,c_146]) ).
tcf(c_249287,plain,
doDivides0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_249275,c_155,c_236870]) ).
tcf(c_249288,plain,
sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_249281,c_156,c_155,c_236870]) ).
tcf(c_249289,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249286,c_156,c_155,c_236870]) ).
tcf(c_249293,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK17),X0) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249283,c_236875,c_155,c_236870]) ).
tcf(c_249297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK17),X0),sdtpldt0(xn,sK17))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249285,c_236875,c_155,c_236870]) ).
tcf(c_249302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249284,c_236875,c_155,c_236870]) ).
tcf(c_249307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249282,c_156,c_155,c_236870]) ).
tcf(c_249312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249280,c_156,c_155,c_236870]) ).
tcf(c_249317,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249269,c_155,c_236870]) ).
tcf(c_249325,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249268,c_155,c_236870]) ).
tcf(c_249333,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| doDivides0(sdtpldt0(xn,sK17),X0)
| sP1(X1,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249279,c_155,c_236870]) ).
tcf(c_249341,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK17)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249278,c_155,c_236870]) ).
tcf(c_249349,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249267,c_155,c_236870]) ).
tcf(c_249357,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK17))
| sP1(X1,sdtpldt0(xn,sK17))
| ( sdtasdt0(sdtpldt0(xn,sK17),sK7(X0,sdtpldt0(xn,sK17))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249277,c_155,c_236870]) ).
tcf(c_249365,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249287,c_196]) ).
tcf(c_249366,plain,
( ( sdtpldt0(xn,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK17),sdtsldt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249287,c_199]) ).
tcf(c_249369,plain,
( ( sdtasdt0(sdtpldt0(xn,sK17),sK20(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249287,c_176]) ).
tcf(c_249371,plain,
( doDivides0(sdtpldt0(xn,sK17),sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(sdtpldt0(xn,sK17),xn) ),
inference(superposition,[status(thm)],[c_249287,c_157]) ).
tcf(c_249372,plain,
sdtasdt0(sdtpldt0(xn,sK17),sK20(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249369,c_236870]) ).
tcf(c_249373,plain,
( doDivides0(sdtpldt0(xn,sK17),sK17)
| ~ doDivides0(sdtpldt0(xn,sK17),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249371,c_119,c_49,c_236870]) ).
tcf(c_249376,plain,
sdtasdt0(sdtpldt0(xn,sK17),sdtsldt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249366,c_236875,c_236870]) ).
tcf(c_249377,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249365,c_236875,c_236870]) ).
tcf(c_249381,plain,
( ( sdtpldt0(sdtpldt0(xn,sK17),sK19(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249288,c_165]) ).
tcf(c_249384,plain,
sdtpldt0(sdtpldt0(xn,sK17),sK19(sdtpldt0(xn,sK17),sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_249381,c_236870]) ).
tcf(c_249385,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236944,c_65]) ).
tcf(c_249386,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236944,c_63]) ).
tcf(c_249387,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236944,c_67]) ).
tcf(c_249392,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236944,c_275]) ).
tcf(c_249394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236944,c_162]) ).
tcf(c_249397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(superposition,[status(thm)],[c_236944,c_160]) ).
tcf(c_249398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236944,c_160]) ).
tcf(c_249399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtpldt0(X0,sdtpldt0(xn,sK17)) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236944,c_167]) ).
tcf(c_249400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236944,c_162]) ).
tcf(c_249401,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236944,c_166]) ).
tcf(c_249402,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_249392,c_151,c_236870]) ).
tcf(c_249403,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249401,c_151,c_236870]) ).
tcf(c_249407,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK17)) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249399,c_151,c_236870]) ).
tcf(c_249411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,sdtpldt0(xn,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249400,c_151,c_236870]) ).
tcf(c_249416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK17)),sdtpldt0(xn,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249394,c_151,c_236870]) ).
tcf(c_249421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249398,c_151,c_236870]) ).
tcf(c_249426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249397,c_151,c_236870]) ).
tcf(c_249432,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_249386,c_236946]) ).
tcf(c_249433,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249432,c_151,c_236870]) ).
tcf(c_249440,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_249385,c_236946]) ).
tcf(c_249441,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249440,c_151,c_236870]) ).
tcf(c_250268,plain,
( ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),sz00) ),
inference(superposition,[status(thm)],[c_249402,c_194]) ).
tcf(c_250269,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249402,c_165]) ).
tcf(c_250270,plain,
( iLess0(sz00,sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249402,c_173]) ).
tcf(c_250271,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_249402,c_193]) ).
tcf(c_250272,plain,
iLess0(sz00,sdtpldt0(xn,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_250270,c_236875,c_151,c_236870]) ).
tcf(c_250273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250271,c_151,c_236870]) ).
tcf(c_250277,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK17))) = sdtpldt0(xn,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_250269,c_151,c_236870]) ).
tcf(c_250278,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK17),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_250268,c_236875,c_151,c_236870]) ).
tcf(c_250281,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_65]) ).
tcf(c_250282,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_63]) ).
tcf(c_250283,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_67]) ).
tcf(c_250290,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_65]) ).
tcf(c_250291,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_63]) ).
tcf(c_250292,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK17,sz00)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_236945,c_67]) ).
tcf(c_250293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236945,c_162]) ).
tcf(c_250295,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ doDivides0(X0,sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236945,c_157]) ).
tcf(c_250296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236945,c_160]) ).
tcf(c_250297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(xn,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17)) ),
inference(superposition,[status(thm)],[c_236945,c_160]) ).
tcf(c_250298,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236945,c_167]) ).
tcf(c_250299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(superposition,[status(thm)],[c_236945,c_162]) ).
tcf(c_250300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ( sdtpldt0(sdtpldt0(xn,sK17),X0) != sdtpldt0(xn,sK17) ) ),
inference(superposition,[status(thm)],[c_236945,c_166]) ).
tcf(c_250301,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250295,c_151,c_236870]) ).
tcf(c_250305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK17),X0) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250300,c_151,c_236870]) ).
tcf(c_250309,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250298,c_151,c_236870]) ).
tcf(c_250313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(xn,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250297,c_151,c_236870]) ).
tcf(c_250318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250296,c_151,c_236870]) ).
tcf(c_250323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250299,c_151,c_236870]) ).
tcf(c_250328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK17))
| ( sdtpldt0(xn,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250293,c_151,c_236870]) ).
tcf(c_250333,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK17,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250292,c_119,c_151,c_49]) ).
tcf(c_250339,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250291,c_119,c_151,c_49]) ).
tcf(c_250345,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK17))
| ~ iLess0(sdtpldt0(xn,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250290,c_119,c_151,c_49]) ).
tcf(c_250351,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250283,c_236947]) ).
tcf(c_250352,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250351,c_151,c_236870]) ).
tcf(c_250359,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250282,c_236947]) ).
tcf(c_250360,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK17),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250359,c_151,c_236870]) ).
tcf(c_250367,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250281,c_236947]) ).
tcf(c_250368,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK17),X0)) = sdtpldt0(xn,sK17) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250367,c_151,c_236870]) ).
tcf(c_250375,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_64]) ).
tcf(c_250376,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_62]) ).
tcf(c_250377,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_66]) ).
tcf(c_250383,plain,
( doDivides0(sz10,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237279,c_272]) ).
tcf(c_250385,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_64]) ).
tcf(c_250386,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_62]) ).
tcf(c_250387,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_66]) ).
tcf(c_250388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237279,c_141]) ).
tcf(c_250389,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237279,c_137]) ).
tcf(c_250390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237279,c_141]) ).
tcf(c_250391,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_145]) ).
tcf(c_250392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(superposition,[status(thm)],[c_237279,c_139]) ).
tcf(c_250393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237279,c_139]) ).
tcf(c_250394,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(X0,sdtpldt0(xn,sK18)) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237279,c_146]) ).
tcf(c_250395,plain,
doDivides0(sz10,sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250383,c_155,c_237207]) ).
tcf(c_250396,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250389,c_237212,c_155,c_237207]) ).
tcf(c_250397,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250391,c_156,c_155,c_237207]) ).
tcf(c_250401,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK18)) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250394,c_237212,c_155,c_237207]) ).
tcf(c_250405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250393,c_156,c_155,c_237207]) ).
tcf(c_250410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250392,c_156,c_155,c_237207]) ).
tcf(c_250415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250390,c_237212,c_155,c_237207]) ).
tcf(c_250420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250388,c_237212,c_155,c_237207]) ).
tcf(c_250425,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250387,c_155,c_237207]) ).
tcf(c_250433,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250386,c_155,c_237207]) ).
tcf(c_250441,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250377,c_155,c_237207]) ).
tcf(c_250449,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250385,c_155,c_237207]) ).
tcf(c_250457,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250376,c_155,c_237207]) ).
tcf(c_250465,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250375,c_155,c_237207]) ).
tcf(c_250473,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250395,c_196]) ).
tcf(c_250474,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK18),sz10)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250395,c_199]) ).
tcf(c_250476,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(sdtpldt0(xn,sK18),X0) ),
inference(superposition,[status(thm)],[c_250395,c_180]) ).
tcf(c_250477,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250395,c_176]) ).
tcf(c_250480,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250477,c_155,c_237207]) ).
tcf(c_250481,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250476,c_155,c_237207]) ).
tcf(c_250485,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sK18),sz10)) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250474,c_156,c_155,c_237207]) ).
tcf(c_250486,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250473,c_156,c_155,c_237207]) ).
tcf(c_250493,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_64]) ).
tcf(c_250494,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_62]) ).
tcf(c_250495,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_66]) ).
tcf(c_250498,plain,
( ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_195843,c_142]) ).
tcf(c_250503,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_64]) ).
tcf(c_250504,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_62]) ).
tcf(c_250505,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_66]) ).
tcf(c_250506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK8)),sz00)
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_195843,c_141]) ).
tcf(c_250507,plain,
( sdtlseqdt0(sK8,sz00)
| ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_195843,c_137]) ).
tcf(c_250508,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK8)))
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_195843,c_141]) ).
tcf(c_250509,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_145]) ).
tcf(c_250510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK8),X0) ),
inference(superposition,[status(thm)],[c_195843,c_139]) ).
tcf(c_250511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK8)) ),
inference(superposition,[status(thm)],[c_195843,c_139]) ).
tcf(c_250512,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK8)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195843,c_146]) ).
tcf(c_250513,plain,
( ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250498,c_73]) ).
tcf(c_250518,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ( sdtasdt0(sK8,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250509,c_73]) ).
tcf(c_250524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK8,X0),sz00)
| ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250511,c_73]) ).
tcf(c_250531,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK8,X0))
| ( sz00 = sK8 )
| ( sdtsldt0(sz00,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250510,c_73]) ).
tcf(c_250538,plain,
! [X0: $i] :
( ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK8)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250512,c_73]) ).
tcf(c_250545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK8)))
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250508,c_73]) ).
tcf(c_250553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK8)),sz00)
| ( sz00 = sK8 )
| ( X0 = sK8 )
| ( sdtsldt0(sz00,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250506,c_73]) ).
tcf(c_250561,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| doDivides0(sK8,X0)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250505,c_73]) ).
tcf(c_250571,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| aNaturalNumber0(sK7(X0,sK8))
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250504,c_73]) ).
tcf(c_250581,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250495,c_73]) ).
tcf(c_250591,plain,
! [X0: $i,X1: $i] :
( sP0(sK8)
| sP1(X1,sK8)
| ( sz00 = sK8 )
| ( sdtasdt0(sK8,sK7(X0,sK8)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250503,c_73]) ).
tcf(c_250601,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK8,X0))
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250494,c_73]) ).
tcf(c_250611,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK8),X0)
| ( sz00 = sK8 )
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sK8,sdtsldt0(sz00,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250493,c_73]) ).
tcf(c_250656,plain,
( ( sdtpldt0(xn,sK18) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),sz10) ),
inference(superposition,[status(thm)],[c_250396,c_194]) ).
tcf(c_250657,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250396,c_165]) ).
tcf(c_250658,plain,
( iLess0(sz10,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250396,c_173]) ).
tcf(c_250659,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250396,c_193]) ).
tcf(c_250660,plain,
( iLess0(sz10,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250658,c_155,c_237207]) ).
tcf(c_250663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250659,c_155,c_237207]) ).
tcf(c_250667,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250657,c_155,c_237207]) ).
tcf(c_250668,plain,
( ( sdtpldt0(xn,sK18) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250656,c_155,c_237207]) ).
tcf(c_250671,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_64]) ).
tcf(c_250672,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_62]) ).
tcf(c_250673,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_66]) ).
tcf(c_250679,plain,
( doDivides0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237280,c_272]) ).
tcf(c_250681,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),sK7(X0,sdtpldt0(xn,sK18))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_64]) ).
tcf(c_250682,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK18)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_62]) ).
tcf(c_250683,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| doDivides0(sdtpldt0(xn,sK18),X0)
| sP1(X1,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_66]) ).
tcf(c_250684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237280,c_141]) ).
tcf(c_250685,plain,
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237280,c_137]) ).
tcf(c_250686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(superposition,[status(thm)],[c_237280,c_141]) ).
tcf(c_250687,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),X0) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_145]) ).
tcf(c_250688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237280,c_139]) ).
tcf(c_250689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sdtpldt0(xn,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237280,c_139]) ).
tcf(c_250690,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237280,c_146]) ).
tcf(c_250691,plain,
doDivides0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250679,c_155,c_237207]) ).
tcf(c_250692,plain,
sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250685,c_156,c_155,c_237207]) ).
tcf(c_250693,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250690,c_156,c_155,c_237207]) ).
tcf(c_250697,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK18),X0) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250687,c_237212,c_155,c_237207]) ).
tcf(c_250701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK18),X0),sdtpldt0(xn,sK18))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250689,c_237212,c_155,c_237207]) ).
tcf(c_250706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250688,c_237212,c_155,c_237207]) ).
tcf(c_250711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250686,c_156,c_155,c_237207]) ).
tcf(c_250716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250684,c_156,c_155,c_237207]) ).
tcf(c_250721,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250673,c_155,c_237207]) ).
tcf(c_250729,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250672,c_155,c_237207]) ).
tcf(c_250737,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| doDivides0(sdtpldt0(xn,sK18),X0)
| sP1(X1,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250683,c_155,c_237207]) ).
tcf(c_250745,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sK18)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250682,c_155,c_237207]) ).
tcf(c_250753,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250671,c_155,c_237207]) ).
tcf(c_250761,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sK18))
| sP1(X1,sdtpldt0(xn,sK18))
| ( sdtasdt0(sdtpldt0(xn,sK18),sK7(X0,sdtpldt0(xn,sK18))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250681,c_155,c_237207]) ).
tcf(c_250769,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250691,c_196]) ).
tcf(c_250770,plain,
( ( sdtpldt0(xn,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK18),sdtsldt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250691,c_199]) ).
tcf(c_250773,plain,
( ( sdtasdt0(sdtpldt0(xn,sK18),sK20(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250691,c_176]) ).
tcf(c_250775,plain,
( doDivides0(sdtpldt0(xn,sK18),sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(sdtpldt0(xn,sK18),xn) ),
inference(superposition,[status(thm)],[c_250691,c_157]) ).
tcf(c_250776,plain,
sdtasdt0(sdtpldt0(xn,sK18),sK20(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250773,c_237207]) ).
tcf(c_250777,plain,
( doDivides0(sdtpldt0(xn,sK18),sK18)
| ~ doDivides0(sdtpldt0(xn,sK18),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250775,c_127,c_49,c_237207]) ).
tcf(c_250780,plain,
sdtasdt0(sdtpldt0(xn,sK18),sdtsldt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250770,c_237212,c_237207]) ).
tcf(c_250781,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250769,c_237212,c_237207]) ).
tcf(c_250785,plain,
( ( sdtpldt0(sdtpldt0(xn,sK18),sK19(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250692,c_165]) ).
tcf(c_250788,plain,
sdtpldt0(sdtpldt0(xn,sK18),sK19(sdtpldt0(xn,sK18),sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250785,c_237207]) ).
tcf(c_250789,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237281,c_65]) ).
tcf(c_250790,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237281,c_63]) ).
tcf(c_250791,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237281,c_67]) ).
tcf(c_250796,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237281,c_275]) ).
tcf(c_250798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237281,c_162]) ).
tcf(c_250801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(superposition,[status(thm)],[c_237281,c_160]) ).
tcf(c_250802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237281,c_160]) ).
tcf(c_250803,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtpldt0(X0,sdtpldt0(xn,sK18)) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237281,c_167]) ).
tcf(c_250804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237281,c_162]) ).
tcf(c_250805,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237281,c_166]) ).
tcf(c_250806,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250796,c_151,c_237207]) ).
tcf(c_250807,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250805,c_151,c_237207]) ).
tcf(c_250811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK18)) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250803,c_151,c_237207]) ).
tcf(c_250815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,sdtpldt0(xn,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250804,c_151,c_237207]) ).
tcf(c_250820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK18)),sdtpldt0(xn,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250798,c_151,c_237207]) ).
tcf(c_250825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250802,c_151,c_237207]) ).
tcf(c_250830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250801,c_151,c_237207]) ).
tcf(c_250836,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250790,c_237283]) ).
tcf(c_250837,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250836,c_151,c_237207]) ).
tcf(c_250844,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250789,c_237283]) ).
tcf(c_250845,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250844,c_151,c_237207]) ).
tcf(c_250852,plain,
( ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),sz00) ),
inference(superposition,[status(thm)],[c_250806,c_194]) ).
tcf(c_250853,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250806,c_165]) ).
tcf(c_250854,plain,
( iLess0(sz00,sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250806,c_173]) ).
tcf(c_250855,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_250806,c_193]) ).
tcf(c_250856,plain,
iLess0(sz00,sdtpldt0(xn,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_250854,c_237212,c_151,c_237207]) ).
tcf(c_250857,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250855,c_151,c_237207]) ).
tcf(c_250861,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sK18))) = sdtpldt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_250853,c_151,c_237207]) ).
tcf(c_250862,plain,
~ sdtlseqdt0(sdtpldt0(xn,sK18),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_250852,c_237212,c_151,c_237207]) ).
tcf(c_250865,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_65]) ).
tcf(c_250866,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_63]) ).
tcf(c_250867,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_67]) ).
tcf(c_250874,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_65]) ).
tcf(c_250875,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_63]) ).
tcf(c_250876,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK18,sz00)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237282,c_67]) ).
tcf(c_250877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237282,c_162]) ).
tcf(c_250879,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ doDivides0(X0,sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237282,c_157]) ).
tcf(c_250880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237282,c_160]) ).
tcf(c_250881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(xn,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18)) ),
inference(superposition,[status(thm)],[c_237282,c_160]) ).
tcf(c_250882,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237282,c_167]) ).
tcf(c_250883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(superposition,[status(thm)],[c_237282,c_162]) ).
tcf(c_250884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ( sdtpldt0(sdtpldt0(xn,sK18),X0) != sdtpldt0(xn,sK18) ) ),
inference(superposition,[status(thm)],[c_237282,c_166]) ).
tcf(c_250885,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250879,c_151,c_237207]) ).
tcf(c_250889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK18),X0) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250884,c_151,c_237207]) ).
tcf(c_250893,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250882,c_151,c_237207]) ).
tcf(c_250897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(xn,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250881,c_151,c_237207]) ).
tcf(c_250902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250880,c_151,c_237207]) ).
tcf(c_250907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250883,c_151,c_237207]) ).
tcf(c_250912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK18))
| ( sdtpldt0(xn,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250877,c_151,c_237207]) ).
tcf(c_250917,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK18,sz00)
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250876,c_127,c_151,c_49]) ).
tcf(c_250923,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250875,c_127,c_151,c_49]) ).
tcf(c_250929,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,sdtasdt0(xn,sK18))
| ~ iLess0(sdtpldt0(xn,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250874,c_127,c_151,c_49]) ).
tcf(c_250935,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250867,c_237284]) ).
tcf(c_250936,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250935,c_151,c_237207]) ).
tcf(c_250943,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250866,c_237284]) ).
tcf(c_250944,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sK18),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250943,c_151,c_237207]) ).
tcf(c_250951,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_250865,c_237284]) ).
tcf(c_250952,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sK18),X0)) = sdtpldt0(xn,sK18) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250951,c_151,c_237207]) ).
tcf(c_251006,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_64]) ).
tcf(c_251007,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_62]) ).
tcf(c_251008,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_66]) ).
tcf(c_251014,plain,
( doDivides0(sz10,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237433,c_272]) ).
tcf(c_251016,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_64]) ).
tcf(c_251017,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_62]) ).
tcf(c_251018,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_66]) ).
tcf(c_251019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237433,c_141]) ).
tcf(c_251021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237433,c_141]) ).
tcf(c_251022,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_145]) ).
tcf(c_251023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_237433,c_139]) ).
tcf(c_251024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237433,c_139]) ).
tcf(c_251025,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(X0,sdtpldt0(xn,sz10)) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237433,c_146]) ).
tcf(c_251026,plain,
doDivides0(sz10,sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_251014,c_155,c_237361]) ).
tcf(c_251027,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251022,c_156,c_155,c_237361]) ).
tcf(c_251031,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sz10)) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251025,c_237363,c_155,c_237361]) ).
tcf(c_251035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251024,c_156,c_155,c_237361]) ).
tcf(c_251040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251023,c_156,c_155,c_237361]) ).
tcf(c_251045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251021,c_237363,c_155,c_237361]) ).
tcf(c_251050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251019,c_237363,c_155,c_237361]) ).
tcf(c_251055,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251018,c_155,c_237361]) ).
tcf(c_251063,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251017,c_155,c_237361]) ).
tcf(c_251071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251008,c_155,c_237361]) ).
tcf(c_251079,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251016,c_155,c_237361]) ).
tcf(c_251087,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251007,c_155,c_237361]) ).
tcf(c_251095,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xn,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251006,c_155,c_237361]) ).
tcf(c_251103,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sz10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251026,c_196]) ).
tcf(c_251104,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sz10),sz10)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251026,c_199]) ).
tcf(c_251106,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(sdtpldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_251026,c_180]) ).
tcf(c_251107,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251026,c_176]) ).
tcf(c_251110,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251107,c_155,c_237361]) ).
tcf(c_251111,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251106,c_155,c_237361]) ).
tcf(c_251115,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sz10),sz10)) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251104,c_156,c_155,c_237361]) ).
tcf(c_251116,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sz10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251103,c_156,c_155,c_237361]) ).
tcf(c_251119,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_64]) ).
tcf(c_251120,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_62]) ).
tcf(c_251121,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_66]) ).
tcf(c_251127,plain,
( doDivides0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237434,c_272]) ).
tcf(c_251129,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),sK7(X0,sdtpldt0(xn,sz10))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_64]) ).
tcf(c_251130,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sz10)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_62]) ).
tcf(c_251131,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| doDivides0(sdtpldt0(xn,sz10),X0)
| sP1(X1,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_66]) ).
tcf(c_251132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237434,c_141]) ).
tcf(c_251133,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237434,c_137]) ).
tcf(c_251134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_237434,c_141]) ).
tcf(c_251135,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),X0) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_145]) ).
tcf(c_251136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237434,c_139]) ).
tcf(c_251137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237434,c_139]) ).
tcf(c_251138,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237434,c_146]) ).
tcf(c_251139,plain,
doDivides0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_251127,c_155,c_237361]) ).
tcf(c_251140,plain,
sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_251133,c_156,c_155,c_237361]) ).
tcf(c_251141,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251138,c_156,c_155,c_237361]) ).
tcf(c_251145,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sz10),X0) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251135,c_237363,c_155,c_237361]) ).
tcf(c_251149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sz10),X0),sdtpldt0(xn,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251137,c_237363,c_155,c_237361]) ).
tcf(c_251154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251136,c_237363,c_155,c_237361]) ).
tcf(c_251159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251134,c_156,c_155,c_237361]) ).
tcf(c_251164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251132,c_156,c_155,c_237361]) ).
tcf(c_251169,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251121,c_155,c_237361]) ).
tcf(c_251177,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251120,c_155,c_237361]) ).
tcf(c_251185,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| doDivides0(sdtpldt0(xn,sz10),X0)
| sP1(X1,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251131,c_155,c_237361]) ).
tcf(c_251193,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| aNaturalNumber0(sK7(X0,sdtpldt0(xn,sz10)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251130,c_155,c_237361]) ).
tcf(c_251201,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xn,sz10),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251119,c_155,c_237361]) ).
tcf(c_251209,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xn,sz10))
| sP1(X1,sdtpldt0(xn,sz10))
| ( sdtasdt0(sdtpldt0(xn,sz10),sK7(X0,sdtpldt0(xn,sz10))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251129,c_155,c_237361]) ).
tcf(c_251217,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251139,c_196]) ).
tcf(c_251218,plain,
( ( sdtpldt0(xn,sz10) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sz10),sdtsldt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251139,c_199]) ).
tcf(c_251221,plain,
( ( sdtasdt0(sdtpldt0(xn,sz10),sK20(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251139,c_176]) ).
tcf(c_251223,plain,
( doDivides0(sdtpldt0(xn,sz10),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(sdtpldt0(xn,sz10),xn) ),
inference(superposition,[status(thm)],[c_251139,c_157]) ).
tcf(c_251224,plain,
sdtasdt0(sdtpldt0(xn,sz10),sK20(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251221,c_237361]) ).
tcf(c_251225,plain,
( doDivides0(sdtpldt0(xn,sz10),sz10)
| ~ doDivides0(sdtpldt0(xn,sz10),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251223,c_155,c_49,c_237361]) ).
tcf(c_251228,plain,
sdtasdt0(sdtpldt0(xn,sz10),sdtsldt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251218,c_237363,c_237361]) ).
tcf(c_251229,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251217,c_237363,c_237361]) ).
tcf(c_251233,plain,
( ( sdtpldt0(sdtpldt0(xn,sz10),sK19(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251140,c_165]) ).
tcf(c_251236,plain,
sdtpldt0(sdtpldt0(xn,sz10),sK19(sdtpldt0(xn,sz10),sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251233,c_237361]) ).
tcf(c_251237,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sz10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237435,c_65]) ).
tcf(c_251238,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sz10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237435,c_63]) ).
tcf(c_251239,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sz10)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237435,c_67]) ).
tcf(c_251244,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237435,c_275]) ).
tcf(c_251246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237435,c_162]) ).
tcf(c_251249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_237435,c_160]) ).
tcf(c_251250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237435,c_160]) ).
tcf(c_251251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtpldt0(X0,sdtpldt0(xn,sz10)) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237435,c_167]) ).
tcf(c_251252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237435,c_162]) ).
tcf(c_251253,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237435,c_166]) ).
tcf(c_251254,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_251244,c_151,c_237361]) ).
tcf(c_251255,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251253,c_151,c_237361]) ).
tcf(c_251259,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sz10)) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251251,c_151,c_237361]) ).
tcf(c_251263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,sdtpldt0(xn,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251252,c_151,c_237361]) ).
tcf(c_251268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sz10)),sdtpldt0(xn,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251246,c_151,c_237361]) ).
tcf(c_251273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251250,c_151,c_237361]) ).
tcf(c_251278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251249,c_151,c_237361]) ).
tcf(c_251284,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251238,c_237437]) ).
tcf(c_251285,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xn,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251284,c_151,c_237361]) ).
tcf(c_251292,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251237,c_237437]) ).
tcf(c_251293,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251292,c_151,c_237361]) ).
tcf(c_251300,plain,
( ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),sz00) ),
inference(superposition,[status(thm)],[c_251254,c_194]) ).
tcf(c_251301,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251254,c_165]) ).
tcf(c_251302,plain,
( iLess0(sz00,sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251254,c_173]) ).
tcf(c_251303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_251254,c_193]) ).
tcf(c_251304,plain,
iLess0(sz00,sdtpldt0(xn,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_251302,c_237363,c_151,c_237361]) ).
tcf(c_251305,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251303,c_151,c_237361]) ).
tcf(c_251309,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_251301,c_151,c_237361]) ).
tcf(c_251310,plain,
~ sdtlseqdt0(sdtpldt0(xn,sz10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_251300,c_237363,c_151,c_237361]) ).
tcf(c_251401,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_64]) ).
tcf(c_251402,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_62]) ).
tcf(c_251403,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_66]) ).
tcf(c_251406,plain,
( ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_195846,c_142]) ).
tcf(c_251411,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_64]) ).
tcf(c_251412,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_62]) ).
tcf(c_251413,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_66]) ).
tcf(c_251414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK9)),sz00)
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_195846,c_141]) ).
tcf(c_251415,plain,
( sdtlseqdt0(sK9,sz00)
| ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_195846,c_137]) ).
tcf(c_251416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK9)))
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_195846,c_141]) ).
tcf(c_251417,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_145]) ).
tcf(c_251418,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK9),X0) ),
inference(superposition,[status(thm)],[c_195846,c_139]) ).
tcf(c_251419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK9)) ),
inference(superposition,[status(thm)],[c_195846,c_139]) ).
tcf(c_251420,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK9)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195846,c_146]) ).
tcf(c_251421,plain,
( ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251406,c_81]) ).
tcf(c_251426,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ( sdtasdt0(sK9,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251417,c_81]) ).
tcf(c_251432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9,X0),sz00)
| ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251419,c_81]) ).
tcf(c_251439,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9,X0))
| ( sz00 = sK9 )
| ( sdtsldt0(sz00,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251418,c_81]) ).
tcf(c_251446,plain,
! [X0: $i] :
( ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK9)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251420,c_81]) ).
tcf(c_251453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK9)))
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251416,c_81]) ).
tcf(c_251461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK9)),sz00)
| ( sz00 = sK9 )
| ( X0 = sK9 )
| ( sdtsldt0(sz00,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251414,c_81]) ).
tcf(c_251469,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| doDivides0(sK9,X0)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251413,c_81]) ).
tcf(c_251479,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| aNaturalNumber0(sK7(X0,sK9))
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251412,c_81]) ).
tcf(c_251489,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251403,c_81]) ).
tcf(c_251499,plain,
! [X0: $i,X1: $i] :
( sP0(sK9)
| sP1(X1,sK9)
| ( sz00 = sK9 )
| ( sdtasdt0(sK9,sK7(X0,sK9)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK9),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251411,c_81]) ).
tcf(c_251509,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK9,X0))
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251402,c_81]) ).
tcf(c_251519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK9),X0)
| ( sz00 = sK9 )
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sK9,sdtsldt0(sz00,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251401,c_81]) ).
tcf(c_251531,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sz10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_65]) ).
tcf(c_251532,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sz10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_63]) ).
tcf(c_251533,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sz10),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_67]) ).
tcf(c_251540,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sz10))
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_65]) ).
tcf(c_251541,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sz10))
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_63]) ).
tcf(c_251542,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,sdtasdt0(xn,sz10))
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_237436,c_67]) ).
tcf(c_251543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237436,c_162]) ).
tcf(c_251545,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ doDivides0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237436,c_157]) ).
tcf(c_251546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237436,c_160]) ).
tcf(c_251547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(xn,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_237436,c_160]) ).
tcf(c_251548,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237436,c_167]) ).
tcf(c_251549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_237436,c_162]) ).
tcf(c_251550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ( sdtpldt0(sdtpldt0(xn,sz10),X0) != sdtpldt0(xn,sz10) ) ),
inference(superposition,[status(thm)],[c_237436,c_166]) ).
tcf(c_251551,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251545,c_151,c_237361]) ).
tcf(c_251555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sz10),X0) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251550,c_151,c_237361]) ).
tcf(c_251559,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251548,c_151,c_237361]) ).
tcf(c_251563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(xn,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251547,c_151,c_237361]) ).
tcf(c_251568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251546,c_151,c_237361]) ).
tcf(c_251573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251549,c_151,c_237361]) ).
tcf(c_251578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sz10))
| ( sdtpldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251543,c_151,c_237361]) ).
tcf(c_251584,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xn)
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251541,c_191042]) ).
tcf(c_251585,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| aNaturalNumber0(sK7(xn,sz00))
| ~ doDivides0(sz00,xn)
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251584,c_155,c_151,c_49]) ).
tcf(c_251591,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xn)
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251540,c_191042]) ).
tcf(c_251592,plain,
( sP0(sz00)
| sP1(sz10,sz00)
| ( sdtasdt0(sz00,sK7(xn,sz00)) = xn )
| ~ doDivides0(sz00,xn)
| ~ iLess0(sdtpldt0(xn,sz10),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251591,c_155,c_151,c_49]) ).
tcf(c_251598,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251533,c_237438]) ).
tcf(c_251599,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251598,c_151,c_237361]) ).
tcf(c_251606,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251532,c_237438]) ).
tcf(c_251607,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xn,sz10),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251606,c_151,c_237361]) ).
tcf(c_251614,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_251531,c_237438]) ).
tcf(c_251615,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xn,sz10),X0)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251614,c_151,c_237361]) ).
tcf(c_251628,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_51,c_191566]) ).
tcf(c_251629,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xm) = sdtpldt0(xm,sK4(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_191566]) ).
tcf(c_251632,plain,
sdtpldt0(xm,sK8) = sdtpldt0(sK8,xm),
inference(superposition,[status(thm)],[c_73,c_191566]) ).
tcf(c_251633,plain,
sdtpldt0(xm,sK9) = sdtpldt0(sK9,xm),
inference(superposition,[status(thm)],[c_81,c_191566]) ).
tcf(c_251634,plain,
sdtpldt0(xm,sK10) = sdtpldt0(sK10,xm),
inference(superposition,[status(thm)],[c_85,c_191566]) ).
tcf(c_251635,plain,
sdtpldt0(xm,xk) = sdtpldt0(xk,xm),
inference(superposition,[status(thm)],[c_88,c_191566]) ).
tcf(c_251636,plain,
sdtpldt0(xm,xr) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_95,c_191566]) ).
tcf(c_251637,plain,
sdtpldt0(xm,sK11) = sdtpldt0(sK11,xm),
inference(superposition,[status(thm)],[c_96,c_191566]) ).
tcf(c_251638,plain,
sdtpldt0(xm,sK12) = sdtpldt0(sK12,xm),
inference(superposition,[status(thm)],[c_104,c_191566]) ).
tcf(c_251639,plain,
sdtpldt0(xm,sK13) = sdtpldt0(sK13,xm),
inference(superposition,[status(thm)],[c_106,c_191566]) ).
tcf(c_251640,plain,
sdtpldt0(xm,sK14) = sdtpldt0(sK14,xm),
inference(superposition,[status(thm)],[c_110,c_191566]) ).
tcf(c_251642,plain,
( sP2
| ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) ) ),
inference(superposition,[status(thm)],[c_116,c_191566]) ).
tcf(c_251643,plain,
sdtpldt0(xm,sK17) = sdtpldt0(sK17,xm),
inference(superposition,[status(thm)],[c_119,c_191566]) ).
tcf(c_251644,plain,
sdtpldt0(sdtsldt0(xn,xr),xm) = sdtpldt0(xm,sdtsldt0(xn,xr)),
inference(superposition,[status(thm)],[c_125,c_191566]) ).
tcf(c_251645,plain,
sdtpldt0(xm,sK18) = sdtpldt0(sK18,xm),
inference(superposition,[status(thm)],[c_127,c_191566]) ).
tcf(c_251646,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_151,c_191566]) ).
tcf(c_251647,plain,
sdtpldt0(xm,sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_155,c_191566]) ).
tcf(c_251648,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_191566]) ).
tcf(c_251649,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK19(X0,X1),xm) = sdtpldt0(xm,sK19(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_191566]) ).
tcf(c_251650,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_191566]) ).
tcf(c_251651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK20(X0,X1),xm) = sdtpldt0(xm,sK20(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_191566]) ).
tcf(c_251652,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),xm) = sdtpldt0(xm,sK21(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_191566]) ).
tcf(c_251653,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),xm) = sdtpldt0(xm,sK22(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_191566]) ).
tcf(c_251654,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xm) = sdtpldt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_191566]) ).
tcf(c_251656,plain,
sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_191219,c_191566]) ).
tcf(c_251657,plain,
sdtpldt0(sdtpldt0(xn,xp),xm) = sdtpldt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_234461,c_191566]) ).
tcf(c_251658,plain,
sdtpldt0(sdtpldt0(xn,xm),xm) = sdtpldt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_234277,c_191566]) ).
tcf(c_251659,plain,
sdtpldt0(sdtpldt0(xn,sK8),xm) = sdtpldt0(xm,sdtpldt0(xn,sK8)),
inference(superposition,[status(thm)],[c_234636,c_191566]) ).
tcf(c_251660,plain,
sdtpldt0(sdtpldt0(xn,sK10),xm) = sdtpldt0(xm,sdtpldt0(xn,sK10)),
inference(superposition,[status(thm)],[c_234937,c_191566]) ).
tcf(c_251661,plain,
sdtpldt0(sdtpldt0(xn,xk),xm) = sdtpldt0(xm,sdtpldt0(xn,xk)),
inference(superposition,[status(thm)],[c_235068,c_191566]) ).
tcf(c_251662,plain,
sdtpldt0(sdtpldt0(xn,xr),xm) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_235253,c_191566]) ).
tcf(c_251663,plain,
sdtpldt0(sdtpldt0(xn,sK11),xm) = sdtpldt0(xm,sdtpldt0(xn,sK11)),
inference(superposition,[status(thm)],[c_235479,c_191566]) ).
tcf(c_251664,plain,
sdtpldt0(sdtpldt0(xn,sK12),xm) = sdtpldt0(xm,sdtpldt0(xn,sK12)),
inference(superposition,[status(thm)],[c_235887,c_191566]) ).
tcf(c_251665,plain,
sdtpldt0(sdtpldt0(xn,sK13),xm) = sdtpldt0(xm,sdtpldt0(xn,sK13)),
inference(superposition,[status(thm)],[c_236573,c_191566]) ).
tcf(c_251666,plain,
sdtpldt0(sdtpldt0(xn,sK14),xm) = sdtpldt0(xm,sdtpldt0(xn,sK14)),
inference(superposition,[status(thm)],[c_236704,c_191566]) ).
tcf(c_251667,plain,
sdtpldt0(sdtpldt0(xn,sK17),xm) = sdtpldt0(xm,sdtpldt0(xn,sK17)),
inference(superposition,[status(thm)],[c_236870,c_191566]) ).
tcf(c_251668,plain,
sdtpldt0(sdtpldt0(xn,sK18),xm) = sdtpldt0(xm,sdtpldt0(xn,sK18)),
inference(superposition,[status(thm)],[c_237207,c_191566]) ).
tcf(c_251669,plain,
sdtpldt0(sdtpldt0(xn,sz10),xm) = sdtpldt0(xm,sdtpldt0(xn,sz10)),
inference(superposition,[status(thm)],[c_237361,c_191566]) ).
tcf(c_251671,plain,
sdtpldt0(sK10,xm) = xp,
inference(light_normalisation,[status(thm)],[c_251634,c_86]) ).
tcf(c_251763,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251671,c_65]) ).
tcf(c_251764,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251671,c_63]) ).
tcf(c_251765,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251671,c_67]) ).
tcf(c_251770,plain,
( sdtlseqdt0(sK10,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251671,c_275]) ).
tcf(c_251772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_251671,c_162]) ).
tcf(c_251774,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_251671,c_157]) ).
tcf(c_251775,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251671,c_160]) ).
tcf(c_251776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251671,c_160]) ).
tcf(c_251777,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xp ) ),
inference(superposition,[status(thm)],[c_251671,c_167]) ).
tcf(c_251778,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xm))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_251671,c_162]) ).
tcf(c_251779,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_251671,c_166]) ).
tcf(c_251780,plain,
sdtlseqdt0(sK10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_251770,c_85,c_50]) ).
tcf(c_251781,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251779,c_85,c_50]) ).
tcf(c_251785,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251777,c_85,c_50]) ).
tcf(c_251789,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251774,c_85,c_50]) ).
tcf(c_251794,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xm))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251778,c_85,c_50]) ).
tcf(c_251799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251776,c_85,c_50]) ).
tcf(c_251804,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251775,c_85,c_50]) ).
tcf(c_251809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251772,c_85,c_50]) ).
tcf(c_251814,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251765,c_85,c_50]) ).
tcf(c_251821,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251764,c_85,c_50]) ).
tcf(c_251828,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK10,xm))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251763,c_85,c_50]) ).
tcf(c_251835,plain,
( ( xp = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sK10) ),
inference(superposition,[status(thm)],[c_251780,c_194]) ).
tcf(c_251836,plain,
( ( sdtpldt0(sK10,sK19(sK10,xp)) = xp )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_251780,c_165]) ).
tcf(c_251837,plain,
( iLess0(sK10,xp)
| ( xp = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_251780,c_173]) ).
tcf(c_251838,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_251780,c_193]) ).
tcf(c_251839,plain,
( iLess0(sK10,xp)
| ( xp = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251837,c_85,c_51]) ).
tcf(c_251842,plain,
sdtpldt0(sK10,sK19(sK10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_251836,c_85,c_51]) ).
tcf(c_251843,plain,
( ( xp = sK10 )
| ~ sdtlseqdt0(xp,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251835,c_85,c_51]) ).
tcf(c_251846,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251838,c_85,c_51]) ).
tcf(c_251854,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251628,c_65]) ).
tcf(c_251855,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251628,c_63]) ).
tcf(c_251856,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251628,c_67]) ).
tcf(c_251859,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251628,c_144]) ).
tcf(c_251860,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251628,c_143]) ).
tcf(c_251861,plain,
( sdtlseqdt0(xm,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251628,c_275]) ).
tcf(c_251862,plain,
( aNaturalNumber0(sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251628,c_172]) ).
tcf(c_251863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251628,c_162]) ).
tcf(c_251864,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251628,c_158]) ).
tcf(c_251865,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251628,c_157]) ).
tcf(c_251866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_251628,c_160]) ).
tcf(c_251867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_251628,c_160]) ).
tcf(c_251868,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251628,c_167]) ).
tcf(c_251869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251628,c_162]) ).
tcf(c_251870,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251628,c_166]) ).
tcf(c_251871,plain,
aNaturalNumber0(sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_251862,c_51,c_50]) ).
tcf(c_251872,plain,
sdtlseqdt0(xm,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_251861,c_51,c_50]) ).
tcf(c_251876,plain,
sdtpldt0(xp,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251859,c_68,c_51,c_50]) ).
tcf(c_251877,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251870,c_51,c_50]) ).
tcf(c_251881,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251868,c_51,c_50]) ).
tcf(c_251885,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251865,c_51,c_50]) ).
tcf(c_251890,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251864,c_51,c_50]) ).
tcf(c_251895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251869,c_51,c_50]) ).
tcf(c_251900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251867,c_51,c_50]) ).
tcf(c_251905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251866,c_51,c_50]) ).
tcf(c_251910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251863,c_51,c_50]) ).
tcf(c_251915,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251856,c_51,c_50]) ).
tcf(c_251922,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251855,c_51,c_50]) ).
tcf(c_251929,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251854,c_51,c_50]) ).
tcf(c_251975,plain,
sdtpldt0(sdtpldt0(xp,xm),xm) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_251871,c_191566]) ).
tcf(c_251976,plain,
sdtpldt0(sdtpldt0(xp,xm),xn) = sdtpldt0(xn,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_251871,c_191565]) ).
tcf(c_251977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtasdt0(X1,sdtpldt0(xp,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_169]) ).
tcf(c_251978,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtasdt0(sdtpldt0(xp,xm),X1)) = sdtasdt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_168]) ).
tcf(c_251979,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xm),X0),X1) = sdtasdt0(sdtpldt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_177]) ).
tcf(c_251980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) = sdtpldt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_170]) ).
tcf(c_251981,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xm),X0) = sdtasdt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_178]) ).
tcf(c_251982,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xm),X0) = sdtpldt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_171]) ).
tcf(c_251983,plain,
sdtasdt0(sz10,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_251871,c_154]) ).
tcf(c_251984,plain,
sdtasdt0(sdtpldt0(xp,xm),sz10) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_251871,c_153]) ).
tcf(c_251985,plain,
sdtpldt0(sz00,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_251871,c_150]) ).
tcf(c_251986,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_251871,c_149]) ).
tcf(c_251987,plain,
sdtasdt0(sz00,sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_251871,c_148]) ).
tcf(c_251988,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_251871,c_147]) ).
tcf(c_251989,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,xm)),xn) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_251871,c_190836]) ).
tcf(c_251990,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251871,c_282]) ).
tcf(c_252018,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(superposition,[status(thm)],[c_251872,c_194]) ).
tcf(c_252019,plain,
( ( sdtpldt0(xm,sK19(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251872,c_165]) ).
tcf(c_252020,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251872,c_173]) ).
tcf(c_252021,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251872,c_193]) ).
tcf(c_252022,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252020,c_50,c_251871]) ).
tcf(c_252025,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252021,c_50,c_251871]) ).
tcf(c_252029,plain,
sdtpldt0(xm,sK19(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_252019,c_50,c_251871]) ).
tcf(c_252030,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252018,c_50,c_251871]) ).
tcf(c_252040,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251632,c_65]) ).
tcf(c_252041,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251632,c_63]) ).
tcf(c_252042,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251632,c_67]) ).
tcf(c_252045,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_251632,c_144]) ).
tcf(c_252046,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_251632,c_143]) ).
tcf(c_252047,plain,
( sdtlseqdt0(sK8,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251632,c_275]) ).
tcf(c_252048,plain,
( aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251632,c_172]) ).
tcf(c_252049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_251632,c_162]) ).
tcf(c_252050,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251632,c_158]) ).
tcf(c_252051,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_251632,c_157]) ).
tcf(c_252052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sK8,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251632,c_160]) ).
tcf(c_252053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xm,sK8))
| ( X0 = xm )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251632,c_160]) ).
tcf(c_252054,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_251632,c_167]) ).
tcf(c_252055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,xm))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_251632,c_162]) ).
tcf(c_252056,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_251632,c_166]) ).
tcf(c_252057,plain,
aNaturalNumber0(sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_252048,c_73,c_50]) ).
tcf(c_252058,plain,
sdtlseqdt0(sK8,sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_252047,c_73,c_50]) ).
tcf(c_252059,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(xm,sK8) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252046,c_73,c_50]) ).
tcf(c_252062,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK8) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252045,c_73,c_50]) ).
tcf(c_252065,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252056,c_73,c_50]) ).
tcf(c_252069,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252054,c_73,c_50]) ).
tcf(c_252073,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252051,c_73,c_50]) ).
tcf(c_252078,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252050,c_73,c_50]) ).
tcf(c_252083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,xm))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252055,c_73,c_50]) ).
tcf(c_252088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xm,sK8))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252053,c_73,c_50]) ).
tcf(c_252093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sK8,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252052,c_73,c_50]) ).
tcf(c_252098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252049,c_73,c_50]) ).
tcf(c_252103,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK8)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252042,c_73,c_50]) ).
tcf(c_252110,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK8,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252041,c_73,c_50]) ).
tcf(c_252117,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK8,X0)) = sK8 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK8,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252040,c_73,c_50]) ).
tcf(c_252142,plain,
sdtpldt0(sdtpldt0(xm,sK8),xm) = sdtpldt0(xm,sdtpldt0(xm,sK8)),
inference(superposition,[status(thm)],[c_252057,c_191566]) ).
tcf(c_252143,plain,
sdtpldt0(sdtpldt0(xm,sK8),xn) = sdtpldt0(xn,sdtpldt0(xm,sK8)),
inference(superposition,[status(thm)],[c_252057,c_191565]) ).
tcf(c_252144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sdtasdt0(X1,sdtpldt0(xm,sK8))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_169]) ).
tcf(c_252145,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sdtasdt0(sdtpldt0(xm,sK8),X1)) = sdtasdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_168]) ).
tcf(c_252146,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK8),X0),X1) = sdtasdt0(sdtpldt0(xm,sK8),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_177]) ).
tcf(c_252147,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),X0),X1) = sdtpldt0(sdtpldt0(xm,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_170]) ).
tcf(c_252148,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK8),X0) = sdtasdt0(X0,sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_178]) ).
tcf(c_252149,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK8),X0) = sdtpldt0(X0,sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_171]) ).
tcf(c_252150,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK8)) = sdtpldt0(xm,sK8),
inference(superposition,[status(thm)],[c_252057,c_154]) ).
tcf(c_252151,plain,
sdtasdt0(sdtpldt0(xm,sK8),sz10) = sdtpldt0(xm,sK8),
inference(superposition,[status(thm)],[c_252057,c_153]) ).
tcf(c_252152,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK8)) = sdtpldt0(xm,sK8),
inference(superposition,[status(thm)],[c_252057,c_150]) ).
tcf(c_252153,plain,
sdtpldt0(sdtpldt0(xm,sK8),sz00) = sdtpldt0(xm,sK8),
inference(superposition,[status(thm)],[c_252057,c_149]) ).
tcf(c_252154,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK8)) = sz00,
inference(superposition,[status(thm)],[c_252057,c_148]) ).
tcf(c_252155,plain,
sdtasdt0(sdtpldt0(xm,sK8),sz00) = sz00,
inference(superposition,[status(thm)],[c_252057,c_147]) ).
tcf(c_252156,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK8)),xn) = sdtpldt0(xm,sK8),
inference(superposition,[status(thm)],[c_252057,c_190836]) ).
tcf(c_252157,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sdtpldt0(xm,sK8)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252057,c_282]) ).
tcf(c_252223,plain,
( ( sdtpldt0(xm,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),sK8) ),
inference(superposition,[status(thm)],[c_252058,c_194]) ).
tcf(c_252224,plain,
( ( sdtpldt0(sK8,sK19(sK8,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252058,c_165]) ).
tcf(c_252225,plain,
( iLess0(sK8,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252058,c_173]) ).
tcf(c_252226,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252058,c_193]) ).
tcf(c_252227,plain,
( iLess0(sK8,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252225,c_73,c_252057]) ).
tcf(c_252230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252226,c_73,c_252057]) ).
tcf(c_252234,plain,
sdtpldt0(sK8,sK19(sK8,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_252224,c_73,c_252057]) ).
tcf(c_252235,plain,
( ( sdtpldt0(xm,sK8) = sK8 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252223,c_73,c_252057]) ).
tcf(c_252245,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251633,c_65]) ).
tcf(c_252246,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251633,c_63]) ).
tcf(c_252247,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251633,c_67]) ).
tcf(c_252250,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_251633,c_144]) ).
tcf(c_252251,plain,
( ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_251633,c_143]) ).
tcf(c_252252,plain,
( sdtlseqdt0(sK9,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251633,c_275]) ).
tcf(c_252253,plain,
( aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251633,c_172]) ).
tcf(c_252254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_251633,c_162]) ).
tcf(c_252255,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251633,c_158]) ).
tcf(c_252256,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_251633,c_157]) ).
tcf(c_252257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sK9,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251633,c_160]) ).
tcf(c_252258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(xm,sK9))
| ( X0 = xm )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251633,c_160]) ).
tcf(c_252259,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_251633,c_167]) ).
tcf(c_252260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,xm))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_251633,c_162]) ).
tcf(c_252261,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_251633,c_166]) ).
tcf(c_252262,plain,
aNaturalNumber0(sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_252253,c_81,c_50]) ).
tcf(c_252263,plain,
sdtlseqdt0(sK9,sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_252252,c_81,c_50]) ).
tcf(c_252264,plain,
( ( sz00 = sK9 )
| ( sdtpldt0(xm,sK9) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252251,c_81,c_50]) ).
tcf(c_252267,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK9) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252250,c_81,c_50]) ).
tcf(c_252270,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252261,c_81,c_50]) ).
tcf(c_252274,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252259,c_81,c_50]) ).
tcf(c_252278,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252256,c_81,c_50]) ).
tcf(c_252283,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252255,c_81,c_50]) ).
tcf(c_252288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,xm))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252260,c_81,c_50]) ).
tcf(c_252293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(xm,sK9))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252258,c_81,c_50]) ).
tcf(c_252298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sK9,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252257,c_81,c_50]) ).
tcf(c_252303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252254,c_81,c_50]) ).
tcf(c_252308,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK9)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252247,c_81,c_50]) ).
tcf(c_252315,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK9,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252246,c_81,c_50]) ).
tcf(c_252322,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK9,X0)) = sK9 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK9,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252245,c_81,c_50]) ).
tcf(c_252404,plain,
sdtpldt0(sdtpldt0(xm,sK9),xm) = sdtpldt0(xm,sdtpldt0(xm,sK9)),
inference(superposition,[status(thm)],[c_252262,c_191566]) ).
tcf(c_252405,plain,
sdtpldt0(sdtpldt0(xm,sK9),xn) = sdtpldt0(xn,sdtpldt0(xm,sK9)),
inference(superposition,[status(thm)],[c_252262,c_191565]) ).
tcf(c_252406,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sdtasdt0(X1,sdtpldt0(xm,sK9))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_169]) ).
tcf(c_252407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sdtasdt0(sdtpldt0(xm,sK9),X1)) = sdtasdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_168]) ).
tcf(c_252408,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK9),X0),X1) = sdtasdt0(sdtpldt0(xm,sK9),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_177]) ).
tcf(c_252409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),X0),X1) = sdtpldt0(sdtpldt0(xm,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_170]) ).
tcf(c_252410,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK9),X0) = sdtasdt0(X0,sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_178]) ).
tcf(c_252411,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK9),X0) = sdtpldt0(X0,sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_171]) ).
tcf(c_252412,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK9)) = sdtpldt0(xm,sK9),
inference(superposition,[status(thm)],[c_252262,c_154]) ).
tcf(c_252413,plain,
sdtasdt0(sdtpldt0(xm,sK9),sz10) = sdtpldt0(xm,sK9),
inference(superposition,[status(thm)],[c_252262,c_153]) ).
tcf(c_252414,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK9)) = sdtpldt0(xm,sK9),
inference(superposition,[status(thm)],[c_252262,c_150]) ).
tcf(c_252415,plain,
sdtpldt0(sdtpldt0(xm,sK9),sz00) = sdtpldt0(xm,sK9),
inference(superposition,[status(thm)],[c_252262,c_149]) ).
tcf(c_252416,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK9)) = sz00,
inference(superposition,[status(thm)],[c_252262,c_148]) ).
tcf(c_252417,plain,
sdtasdt0(sdtpldt0(xm,sK9),sz00) = sz00,
inference(superposition,[status(thm)],[c_252262,c_147]) ).
tcf(c_252418,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK9)),xn) = sdtpldt0(xm,sK9),
inference(superposition,[status(thm)],[c_252262,c_190836]) ).
tcf(c_252419,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sdtpldt0(xm,sK9)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252262,c_282]) ).
tcf(c_252477,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_64]) ).
tcf(c_252478,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_62]) ).
tcf(c_252479,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_66]) ).
tcf(c_252482,plain,
( ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_195849,c_142]) ).
tcf(c_252487,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_64]) ).
tcf(c_252488,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_62]) ).
tcf(c_252489,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_66]) ).
tcf(c_252490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK10)),sz00)
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_195849,c_141]) ).
tcf(c_252491,plain,
( sdtlseqdt0(sK10,sz00)
| ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_195849,c_137]) ).
tcf(c_252492,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK10)))
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_195849,c_141]) ).
tcf(c_252493,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_145]) ).
tcf(c_252494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK10),X0) ),
inference(superposition,[status(thm)],[c_195849,c_139]) ).
tcf(c_252495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK10)) ),
inference(superposition,[status(thm)],[c_195849,c_139]) ).
tcf(c_252496,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_195849,c_146]) ).
tcf(c_252497,plain,
( ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252482,c_85]) ).
tcf(c_252502,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ( sdtasdt0(sK10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252493,c_85]) ).
tcf(c_252508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK10,X0),sz00)
| ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252495,c_85]) ).
tcf(c_252515,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK10,X0))
| ( sz00 = sK10 )
| ( sdtsldt0(sz00,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252494,c_85]) ).
tcf(c_252522,plain,
! [X0: $i] :
( ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sK10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252496,c_85]) ).
tcf(c_252529,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sK10)))
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252492,c_85]) ).
tcf(c_252537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sK10)),sz00)
| ( sz00 = sK10 )
| ( X0 = sK10 )
| ( sdtsldt0(sz00,sK10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252490,c_85]) ).
tcf(c_252545,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| doDivides0(sK10,X0)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252489,c_85]) ).
tcf(c_252555,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| aNaturalNumber0(sK7(X0,sK10))
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252488,c_85]) ).
tcf(c_252565,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252479,c_85]) ).
tcf(c_252575,plain,
! [X0: $i,X1: $i] :
( sP0(sK10)
| sP1(X1,sK10)
| ( sz00 = sK10 )
| ( sdtasdt0(sK10,sK7(X0,sK10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252487,c_85]) ).
tcf(c_252585,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252478,c_85]) ).
tcf(c_252595,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sK10),X0)
| ( sz00 = sK10 )
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sK10))
| ~ iLess0(sdtpldt0(sdtpldt0(sK10,sdtsldt0(sz00,sK10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252477,c_85]) ).
tcf(c_252626,plain,
( ( sdtpldt0(xm,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),sK9) ),
inference(superposition,[status(thm)],[c_252263,c_194]) ).
tcf(c_252627,plain,
( ( sdtpldt0(sK9,sK19(sK9,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252263,c_165]) ).
tcf(c_252628,plain,
( iLess0(sK9,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252263,c_173]) ).
tcf(c_252629,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252263,c_193]) ).
tcf(c_252630,plain,
( iLess0(sK9,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252628,c_81,c_252262]) ).
tcf(c_252633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252629,c_81,c_252262]) ).
tcf(c_252637,plain,
sdtpldt0(sK9,sK19(sK9,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_252627,c_81,c_252262]) ).
tcf(c_252638,plain,
( ( sdtpldt0(xm,sK9) = sK9 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252626,c_81,c_252262]) ).
tcf(c_252650,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251635,c_65]) ).
tcf(c_252651,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251635,c_63]) ).
tcf(c_252652,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(xm,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251635,c_67]) ).
tcf(c_252656,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_251635,c_143]) ).
tcf(c_252657,plain,
( sdtlseqdt0(xk,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251635,c_275]) ).
tcf(c_252658,plain,
( aNaturalNumber0(sdtpldt0(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251635,c_172]) ).
tcf(c_252659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_251635,c_162]) ).
tcf(c_252660,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251635,c_158]) ).
tcf(c_252661,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_251635,c_157]) ).
tcf(c_252662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(xk,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251635,c_160]) ).
tcf(c_252663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xm,xk))
| ( X0 = xm )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251635,c_160]) ).
tcf(c_252664,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_251635,c_167]) ).
tcf(c_252665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,xm))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_251635,c_162]) ).
tcf(c_252666,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_251635,c_166]) ).
tcf(c_252667,plain,
aNaturalNumber0(sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_252658,c_88,c_50]) ).
tcf(c_252668,plain,
sdtlseqdt0(xk,sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_252657,c_88,c_50]) ).
tcf(c_252669,plain,
sdtpldt0(xm,xk) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_252656,c_93,c_88,c_50]) ).
tcf(c_252670,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252666,c_88,c_50]) ).
tcf(c_252674,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252664,c_88,c_50]) ).
tcf(c_252678,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252661,c_88,c_50]) ).
tcf(c_252683,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252660,c_88,c_50]) ).
tcf(c_252688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,xm))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252665,c_88,c_50]) ).
tcf(c_252693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xm,xk))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252663,c_88,c_50]) ).
tcf(c_252698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(xk,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252662,c_88,c_50]) ).
tcf(c_252703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252659,c_88,c_50]) ).
tcf(c_252708,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xk)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252652,c_88,c_50]) ).
tcf(c_252715,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(xk,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252651,c_88,c_50]) ).
tcf(c_252722,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(xk,X0)) = xk )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252650,c_88,c_50]) ).
tcf(c_252759,plain,
sdtpldt0(sdtpldt0(xm,xk),xm) = sdtpldt0(xm,sdtpldt0(xm,xk)),
inference(superposition,[status(thm)],[c_252667,c_191566]) ).
tcf(c_252760,plain,
sdtpldt0(sdtpldt0(xm,xk),xn) = sdtpldt0(xn,sdtpldt0(xm,xk)),
inference(superposition,[status(thm)],[c_252667,c_191565]) ).
tcf(c_252761,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sdtasdt0(X1,sdtpldt0(xm,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_169]) ).
tcf(c_252762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xk),X0),sdtasdt0(sdtpldt0(xm,xk),X1)) = sdtasdt0(sdtpldt0(xm,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_168]) ).
tcf(c_252763,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xk),X0),X1) = sdtasdt0(sdtpldt0(xm,xk),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_177]) ).
tcf(c_252764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),X0),X1) = sdtpldt0(sdtpldt0(xm,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_170]) ).
tcf(c_252765,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xk),X0) = sdtasdt0(X0,sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_178]) ).
tcf(c_252766,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xk),X0) = sdtpldt0(X0,sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_171]) ).
tcf(c_252767,plain,
sdtasdt0(sz10,sdtpldt0(xm,xk)) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_252667,c_154]) ).
tcf(c_252768,plain,
sdtasdt0(sdtpldt0(xm,xk),sz10) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_252667,c_153]) ).
tcf(c_252769,plain,
sdtpldt0(sz00,sdtpldt0(xm,xk)) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_252667,c_150]) ).
tcf(c_252770,plain,
sdtpldt0(sdtpldt0(xm,xk),sz00) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_252667,c_149]) ).
tcf(c_252771,plain,
sdtasdt0(sz00,sdtpldt0(xm,xk)) = sz00,
inference(superposition,[status(thm)],[c_252667,c_148]) ).
tcf(c_252772,plain,
sdtasdt0(sdtpldt0(xm,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_252667,c_147]) ).
tcf(c_252773,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,xk)),xn) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_252667,c_190836]) ).
tcf(c_252774,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xk),X0),sdtpldt0(xm,xk)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252667,c_282]) ).
tcf(c_252799,plain,
( ( sdtpldt0(xm,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),xk) ),
inference(superposition,[status(thm)],[c_252668,c_194]) ).
tcf(c_252800,plain,
( ( sdtpldt0(xk,sK19(xk,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252668,c_165]) ).
tcf(c_252801,plain,
( iLess0(xk,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252668,c_173]) ).
tcf(c_252802,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252668,c_193]) ).
tcf(c_252803,plain,
( iLess0(xk,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252801,c_88,c_252667]) ).
tcf(c_252806,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252802,c_88,c_252667]) ).
tcf(c_252810,plain,
sdtpldt0(xk,sK19(xk,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_252800,c_88,c_252667]) ).
tcf(c_252811,plain,
( ( sdtpldt0(xm,xk) = xk )
| ~ sdtlseqdt0(sdtpldt0(xm,xk),xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252799,c_88,c_252667]) ).
tcf(c_252818,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251636,c_65]) ).
tcf(c_252819,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251636,c_63]) ).
tcf(c_252820,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251636,c_67]) ).
tcf(c_252823,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xr,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251636,c_144]) ).
tcf(c_252824,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xr,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251636,c_143]) ).
tcf(c_252825,plain,
( sdtlseqdt0(xm,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251636,c_275]) ).
tcf(c_252826,plain,
( aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251636,c_172]) ).
tcf(c_252827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251636,c_162]) ).
tcf(c_252828,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251636,c_158]) ).
tcf(c_252829,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_251636,c_157]) ).
tcf(c_252830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xm,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_251636,c_160]) ).
tcf(c_252831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xr,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_251636,c_160]) ).
tcf(c_252832,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_251636,c_167]) ).
tcf(c_252833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251636,c_162]) ).
tcf(c_252834,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_251636,c_166]) ).
tcf(c_252835,plain,
aNaturalNumber0(sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_252826,c_95,c_50]) ).
tcf(c_252836,plain,
sdtlseqdt0(xm,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_252825,c_95,c_50]) ).
tcf(c_252840,plain,
sdtpldt0(xr,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_252823,c_99,c_95,c_50]) ).
tcf(c_252841,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252834,c_95,c_50]) ).
tcf(c_252845,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252832,c_95,c_50]) ).
tcf(c_252849,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252829,c_95,c_50]) ).
tcf(c_252854,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252828,c_95,c_50]) ).
tcf(c_252859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252833,c_95,c_50]) ).
tcf(c_252864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xr,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252831,c_95,c_50]) ).
tcf(c_252869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xm,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252830,c_95,c_50]) ).
tcf(c_252874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252827,c_95,c_50]) ).
tcf(c_252879,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252820,c_95,c_50]) ).
tcf(c_252886,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252819,c_95,c_50]) ).
tcf(c_252893,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252818,c_95,c_50]) ).
tcf(c_252937,plain,
sdtpldt0(sdtpldt0(xr,xm),xm) = sdtpldt0(xm,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_252835,c_191566]) ).
tcf(c_252938,plain,
sdtpldt0(sdtpldt0(xr,xm),xn) = sdtpldt0(xn,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_252835,c_191565]) ).
tcf(c_252939,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtasdt0(X1,sdtpldt0(xr,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_169]) ).
tcf(c_252940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtasdt0(sdtpldt0(xr,xm),X1)) = sdtasdt0(sdtpldt0(xr,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_168]) ).
tcf(c_252941,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xr,xm),X0),X1) = sdtasdt0(sdtpldt0(xr,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_177]) ).
tcf(c_252942,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),X0),X1) = sdtpldt0(sdtpldt0(xr,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_170]) ).
tcf(c_252943,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xr,xm),X0) = sdtasdt0(X0,sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_178]) ).
tcf(c_252944,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xr,xm),X0) = sdtpldt0(X0,sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_171]) ).
tcf(c_252945,plain,
sdtasdt0(sz10,sdtpldt0(xr,xm)) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_252835,c_154]) ).
tcf(c_252946,plain,
sdtasdt0(sdtpldt0(xr,xm),sz10) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_252835,c_153]) ).
tcf(c_252947,plain,
sdtpldt0(sz00,sdtpldt0(xr,xm)) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_252835,c_150]) ).
tcf(c_252948,plain,
sdtpldt0(sdtpldt0(xr,xm),sz00) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_252835,c_149]) ).
tcf(c_252949,plain,
sdtasdt0(sz00,sdtpldt0(xr,xm)) = sz00,
inference(superposition,[status(thm)],[c_252835,c_148]) ).
tcf(c_252950,plain,
sdtasdt0(sdtpldt0(xr,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_252835,c_147]) ).
tcf(c_252951,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xr,xm)),xn) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_252835,c_190836]) ).
tcf(c_252952,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_252835,c_282]) ).
tcf(c_252989,plain,
( ( sdtpldt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xm) ),
inference(superposition,[status(thm)],[c_252836,c_194]) ).
tcf(c_252990,plain,
( ( sdtpldt0(xm,sK19(xm,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252836,c_165]) ).
tcf(c_252991,plain,
( iLess0(xm,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252836,c_173]) ).
tcf(c_252992,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252836,c_193]) ).
tcf(c_252993,plain,
( iLess0(xm,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252991,c_50,c_252835]) ).
tcf(c_252996,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252992,c_50,c_252835]) ).
tcf(c_253000,plain,
sdtpldt0(xm,sK19(xm,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_252990,c_50,c_252835]) ).
tcf(c_253001,plain,
( ( sdtpldt0(xr,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252989,c_50,c_252835]) ).
tcf(c_253028,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251637,c_65]) ).
tcf(c_253029,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251637,c_63]) ).
tcf(c_253030,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251637,c_67]) ).
tcf(c_253033,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_251637,c_144]) ).
tcf(c_253034,plain,
( ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_251637,c_143]) ).
tcf(c_253035,plain,
( sdtlseqdt0(sK11,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251637,c_275]) ).
tcf(c_253036,plain,
( aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251637,c_172]) ).
tcf(c_253037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_251637,c_162]) ).
tcf(c_253038,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251637,c_158]) ).
tcf(c_253039,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_251637,c_157]) ).
tcf(c_253040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sK11,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251637,c_160]) ).
tcf(c_253041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xm,sK11))
| ( X0 = xm )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251637,c_160]) ).
tcf(c_253042,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_251637,c_167]) ).
tcf(c_253043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,xm))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_251637,c_162]) ).
tcf(c_253044,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_251637,c_166]) ).
tcf(c_253045,plain,
aNaturalNumber0(sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_253036,c_96,c_50]) ).
tcf(c_253046,plain,
sdtlseqdt0(sK11,sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_253035,c_96,c_50]) ).
tcf(c_253047,plain,
( ( sz00 = sK11 )
| ( sdtpldt0(xm,sK11) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253034,c_96,c_50]) ).
tcf(c_253050,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK11) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253033,c_96,c_50]) ).
tcf(c_253053,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253044,c_96,c_50]) ).
tcf(c_253057,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253042,c_96,c_50]) ).
tcf(c_253061,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253039,c_96,c_50]) ).
tcf(c_253066,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253038,c_96,c_50]) ).
tcf(c_253071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,xm))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253043,c_96,c_50]) ).
tcf(c_253076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xm,sK11))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253041,c_96,c_50]) ).
tcf(c_253081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sK11,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253040,c_96,c_50]) ).
tcf(c_253086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253037,c_96,c_50]) ).
tcf(c_253091,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK11)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253030,c_96,c_50]) ).
tcf(c_253098,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK11,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253029,c_96,c_50]) ).
tcf(c_253105,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK11,X0)) = sK11 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK11,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253028,c_96,c_50]) ).
tcf(c_253156,plain,
sdtpldt0(sdtpldt0(xm,sK11),xm) = sdtpldt0(xm,sdtpldt0(xm,sK11)),
inference(superposition,[status(thm)],[c_253045,c_191566]) ).
tcf(c_253157,plain,
sdtpldt0(sdtpldt0(xm,sK11),xn) = sdtpldt0(xn,sdtpldt0(xm,sK11)),
inference(superposition,[status(thm)],[c_253045,c_191565]) ).
tcf(c_253158,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sdtasdt0(X1,sdtpldt0(xm,sK11))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_169]) ).
tcf(c_253159,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sdtasdt0(sdtpldt0(xm,sK11),X1)) = sdtasdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_168]) ).
tcf(c_253160,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK11),X0),X1) = sdtasdt0(sdtpldt0(xm,sK11),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_177]) ).
tcf(c_253161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),X0),X1) = sdtpldt0(sdtpldt0(xm,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_170]) ).
tcf(c_253162,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK11),X0) = sdtasdt0(X0,sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_178]) ).
tcf(c_253163,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK11),X0) = sdtpldt0(X0,sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_171]) ).
tcf(c_253164,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK11)) = sdtpldt0(xm,sK11),
inference(superposition,[status(thm)],[c_253045,c_154]) ).
tcf(c_253165,plain,
sdtasdt0(sdtpldt0(xm,sK11),sz10) = sdtpldt0(xm,sK11),
inference(superposition,[status(thm)],[c_253045,c_153]) ).
tcf(c_253166,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK11)) = sdtpldt0(xm,sK11),
inference(superposition,[status(thm)],[c_253045,c_150]) ).
tcf(c_253167,plain,
sdtpldt0(sdtpldt0(xm,sK11),sz00) = sdtpldt0(xm,sK11),
inference(superposition,[status(thm)],[c_253045,c_149]) ).
tcf(c_253168,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK11)) = sz00,
inference(superposition,[status(thm)],[c_253045,c_148]) ).
tcf(c_253169,plain,
sdtasdt0(sdtpldt0(xm,sK11),sz00) = sz00,
inference(superposition,[status(thm)],[c_253045,c_147]) ).
tcf(c_253170,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK11)),xn) = sdtpldt0(xm,sK11),
inference(superposition,[status(thm)],[c_253045,c_190836]) ).
tcf(c_253171,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sdtpldt0(xm,sK11)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253045,c_282]) ).
tcf(c_253191,plain,
( ( sdtpldt0(xm,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),sK11) ),
inference(superposition,[status(thm)],[c_253046,c_194]) ).
tcf(c_253192,plain,
( ( sdtpldt0(sK11,sK19(sK11,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253046,c_165]) ).
tcf(c_253193,plain,
( iLess0(sK11,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253046,c_173]) ).
tcf(c_253194,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253046,c_193]) ).
tcf(c_253195,plain,
( iLess0(sK11,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253193,c_96,c_253045]) ).
tcf(c_253198,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253194,c_96,c_253045]) ).
tcf(c_253202,plain,
sdtpldt0(sK11,sK19(sK11,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_253192,c_96,c_253045]) ).
tcf(c_253203,plain,
( ( sdtpldt0(xm,sK11) = sK11 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253191,c_96,c_253045]) ).
tcf(c_253206,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251638,c_65]) ).
tcf(c_253207,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251638,c_63]) ).
tcf(c_253208,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251638,c_67]) ).
tcf(c_253211,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_251638,c_144]) ).
tcf(c_253212,plain,
( ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_251638,c_143]) ).
tcf(c_253213,plain,
( sdtlseqdt0(sK12,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251638,c_275]) ).
tcf(c_253214,plain,
( aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251638,c_172]) ).
tcf(c_253215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_251638,c_162]) ).
tcf(c_253216,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251638,c_158]) ).
tcf(c_253217,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_251638,c_157]) ).
tcf(c_253218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sK12,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251638,c_160]) ).
tcf(c_253219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xm,sK12))
| ( X0 = xm )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251638,c_160]) ).
tcf(c_253220,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_251638,c_167]) ).
tcf(c_253221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,xm))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_251638,c_162]) ).
tcf(c_253222,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_251638,c_166]) ).
tcf(c_253223,plain,
aNaturalNumber0(sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_253214,c_104,c_50]) ).
tcf(c_253224,plain,
sdtlseqdt0(sK12,sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_253213,c_104,c_50]) ).
tcf(c_253225,plain,
( ( sz00 = sK12 )
| ( sdtpldt0(xm,sK12) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253212,c_104,c_50]) ).
tcf(c_253228,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK12) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253211,c_104,c_50]) ).
tcf(c_253231,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253222,c_104,c_50]) ).
tcf(c_253235,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253220,c_104,c_50]) ).
tcf(c_253239,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253217,c_104,c_50]) ).
tcf(c_253244,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253216,c_104,c_50]) ).
tcf(c_253249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,xm))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253221,c_104,c_50]) ).
tcf(c_253254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xm,sK12))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253219,c_104,c_50]) ).
tcf(c_253259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sK12,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253218,c_104,c_50]) ).
tcf(c_253264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253215,c_104,c_50]) ).
tcf(c_253269,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK12)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253208,c_104,c_50]) ).
tcf(c_253276,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK12,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253207,c_104,c_50]) ).
tcf(c_253283,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK12,X0)) = sK12 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK12,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253206,c_104,c_50]) ).
tcf(c_253573,plain,
sdtpldt0(sdtpldt0(xm,sK12),xm) = sdtpldt0(xm,sdtpldt0(xm,sK12)),
inference(superposition,[status(thm)],[c_253223,c_191566]) ).
tcf(c_253574,plain,
sdtpldt0(sdtpldt0(xm,sK12),xn) = sdtpldt0(xn,sdtpldt0(xm,sK12)),
inference(superposition,[status(thm)],[c_253223,c_191565]) ).
tcf(c_253575,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sdtasdt0(X1,sdtpldt0(xm,sK12))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_169]) ).
tcf(c_253576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sdtasdt0(sdtpldt0(xm,sK12),X1)) = sdtasdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_168]) ).
tcf(c_253577,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK12),X0),X1) = sdtasdt0(sdtpldt0(xm,sK12),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_177]) ).
tcf(c_253578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),X0),X1) = sdtpldt0(sdtpldt0(xm,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_170]) ).
tcf(c_253579,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK12),X0) = sdtasdt0(X0,sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_178]) ).
tcf(c_253580,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK12),X0) = sdtpldt0(X0,sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_171]) ).
tcf(c_253581,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK12)) = sdtpldt0(xm,sK12),
inference(superposition,[status(thm)],[c_253223,c_154]) ).
tcf(c_253582,plain,
sdtasdt0(sdtpldt0(xm,sK12),sz10) = sdtpldt0(xm,sK12),
inference(superposition,[status(thm)],[c_253223,c_153]) ).
tcf(c_253583,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK12)) = sdtpldt0(xm,sK12),
inference(superposition,[status(thm)],[c_253223,c_150]) ).
tcf(c_253584,plain,
sdtpldt0(sdtpldt0(xm,sK12),sz00) = sdtpldt0(xm,sK12),
inference(superposition,[status(thm)],[c_253223,c_149]) ).
tcf(c_253585,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK12)) = sz00,
inference(superposition,[status(thm)],[c_253223,c_148]) ).
tcf(c_253586,plain,
sdtasdt0(sdtpldt0(xm,sK12),sz00) = sz00,
inference(superposition,[status(thm)],[c_253223,c_147]) ).
tcf(c_253587,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK12)),xn) = sdtpldt0(xm,sK12),
inference(superposition,[status(thm)],[c_253223,c_190836]) ).
tcf(c_253588,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sdtpldt0(xm,sK12)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253223,c_282]) ).
tcf(c_253608,plain,
( ( sdtpldt0(xm,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),sK12) ),
inference(superposition,[status(thm)],[c_253224,c_194]) ).
tcf(c_253609,plain,
( ( sdtpldt0(sK12,sK19(sK12,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253224,c_165]) ).
tcf(c_253610,plain,
( iLess0(sK12,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253224,c_173]) ).
tcf(c_253611,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253224,c_193]) ).
tcf(c_253612,plain,
( iLess0(sK12,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253610,c_104,c_253223]) ).
tcf(c_253615,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253611,c_104,c_253223]) ).
tcf(c_253619,plain,
sdtpldt0(sK12,sK19(sK12,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_253609,c_104,c_253223]) ).
tcf(c_253620,plain,
( ( sdtpldt0(xm,sK12) = sK12 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253608,c_104,c_253223]) ).
tcf(c_253623,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251639,c_65]) ).
tcf(c_253624,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251639,c_63]) ).
tcf(c_253625,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251639,c_67]) ).
tcf(c_253628,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_251639,c_144]) ).
tcf(c_253629,plain,
( ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_251639,c_143]) ).
tcf(c_253630,plain,
( sdtlseqdt0(sK13,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251639,c_275]) ).
tcf(c_253631,plain,
( aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251639,c_172]) ).
tcf(c_253632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_251639,c_162]) ).
tcf(c_253633,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251639,c_158]) ).
tcf(c_253634,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_251639,c_157]) ).
tcf(c_253635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sK13,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251639,c_160]) ).
tcf(c_253636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xm,sK13))
| ( X0 = xm )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251639,c_160]) ).
tcf(c_253637,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_251639,c_167]) ).
tcf(c_253638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,xm))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_251639,c_162]) ).
tcf(c_253639,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_251639,c_166]) ).
tcf(c_253640,plain,
aNaturalNumber0(sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_253631,c_106,c_50]) ).
tcf(c_253641,plain,
sdtlseqdt0(sK13,sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_253630,c_106,c_50]) ).
tcf(c_253642,plain,
( ( sz00 = sK13 )
| ( sdtpldt0(xm,sK13) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253629,c_106,c_50]) ).
tcf(c_253645,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK13) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253628,c_106,c_50]) ).
tcf(c_253648,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253639,c_106,c_50]) ).
tcf(c_253652,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253637,c_106,c_50]) ).
tcf(c_253656,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253634,c_106,c_50]) ).
tcf(c_253661,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253633,c_106,c_50]) ).
tcf(c_253666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,xm))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253638,c_106,c_50]) ).
tcf(c_253671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xm,sK13))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253636,c_106,c_50]) ).
tcf(c_253676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sK13,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253635,c_106,c_50]) ).
tcf(c_253681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253632,c_106,c_50]) ).
tcf(c_253686,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK13)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253625,c_106,c_50]) ).
tcf(c_253693,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK13,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253624,c_106,c_50]) ).
tcf(c_253700,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK13,X0)) = sK13 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK13,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253623,c_106,c_50]) ).
tcf(c_253758,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_64]) ).
tcf(c_253759,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_62]) ).
tcf(c_253760,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_66]) ).
tcf(c_253763,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_195858,c_142]) ).
tcf(c_253768,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_64]) ).
tcf(c_253769,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_62]) ).
tcf(c_253770,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_66]) ).
tcf(c_253771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_195858,c_141]) ).
tcf(c_253772,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_195858,c_137]) ).
tcf(c_253773,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_195858,c_141]) ).
tcf(c_253774,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_145]) ).
tcf(c_253775,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_195858,c_139]) ).
tcf(c_253776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_195858,c_139]) ).
tcf(c_253777,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_195858,c_146]) ).
tcf(c_253778,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253763,c_125]) ).
tcf(c_253783,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253774,c_125]) ).
tcf(c_253789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253776,c_125]) ).
tcf(c_253796,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253775,c_125]) ).
tcf(c_253803,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253777,c_125]) ).
tcf(c_253810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253773,c_125]) ).
tcf(c_253818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtsldt0(xn,xr))),sz00)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253771,c_125]) ).
tcf(c_253826,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| doDivides0(sdtsldt0(xn,xr),X0)
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253770,c_125]) ).
tcf(c_253836,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| aNaturalNumber0(sK7(X0,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253769,c_125]) ).
tcf(c_253846,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sdtsldt0(xn,xr))
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253760,c_125]) ).
tcf(c_253856,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sdtsldt0(xn,xr),X0))
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253759,c_125]) ).
tcf(c_253866,plain,
! [X0: $i,X1: $i] :
( sP0(sdtsldt0(xn,xr))
| sP1(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xr),sK7(X0,sdtsldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253768,c_125]) ).
tcf(c_253876,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sz00,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sK7(sdtsldt0(xn,xr),X0)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),sdtsldt0(sz00,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253758,c_125]) ).
tcf(c_253891,plain,
sdtpldt0(sdtpldt0(xm,sK13),xm) = sdtpldt0(xm,sdtpldt0(xm,sK13)),
inference(superposition,[status(thm)],[c_253640,c_191566]) ).
tcf(c_253892,plain,
sdtpldt0(sdtpldt0(xm,sK13),xn) = sdtpldt0(xn,sdtpldt0(xm,sK13)),
inference(superposition,[status(thm)],[c_253640,c_191565]) ).
tcf(c_253893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sdtasdt0(X1,sdtpldt0(xm,sK13))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_169]) ).
tcf(c_253894,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sdtasdt0(sdtpldt0(xm,sK13),X1)) = sdtasdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_168]) ).
tcf(c_253895,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK13),X0),X1) = sdtasdt0(sdtpldt0(xm,sK13),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_177]) ).
tcf(c_253896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),X0),X1) = sdtpldt0(sdtpldt0(xm,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_170]) ).
tcf(c_253897,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK13),X0) = sdtasdt0(X0,sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_178]) ).
tcf(c_253898,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK13),X0) = sdtpldt0(X0,sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_171]) ).
tcf(c_253899,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK13)) = sdtpldt0(xm,sK13),
inference(superposition,[status(thm)],[c_253640,c_154]) ).
tcf(c_253900,plain,
sdtasdt0(sdtpldt0(xm,sK13),sz10) = sdtpldt0(xm,sK13),
inference(superposition,[status(thm)],[c_253640,c_153]) ).
tcf(c_253901,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK13)) = sdtpldt0(xm,sK13),
inference(superposition,[status(thm)],[c_253640,c_150]) ).
tcf(c_253902,plain,
sdtpldt0(sdtpldt0(xm,sK13),sz00) = sdtpldt0(xm,sK13),
inference(superposition,[status(thm)],[c_253640,c_149]) ).
tcf(c_253903,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK13)) = sz00,
inference(superposition,[status(thm)],[c_253640,c_148]) ).
tcf(c_253904,plain,
sdtasdt0(sdtpldt0(xm,sK13),sz00) = sz00,
inference(superposition,[status(thm)],[c_253640,c_147]) ).
tcf(c_253905,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK13)),xn) = sdtpldt0(xm,sK13),
inference(superposition,[status(thm)],[c_253640,c_190836]) ).
tcf(c_253906,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sdtpldt0(xm,sK13)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253640,c_282]) ).
tcf(c_253926,plain,
( ( sdtpldt0(xm,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),sK13) ),
inference(superposition,[status(thm)],[c_253641,c_194]) ).
tcf(c_253927,plain,
( ( sdtpldt0(sK13,sK19(sK13,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253641,c_165]) ).
tcf(c_253928,plain,
( iLess0(sK13,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253641,c_173]) ).
tcf(c_253929,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253641,c_193]) ).
tcf(c_253930,plain,
( iLess0(sK13,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253928,c_106,c_253640]) ).
tcf(c_253933,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253929,c_106,c_253640]) ).
tcf(c_253937,plain,
sdtpldt0(sK13,sK19(sK13,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_253927,c_106,c_253640]) ).
tcf(c_253938,plain,
( ( sdtpldt0(xm,sK13) = sK13 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253926,c_106,c_253640]) ).
tcf(c_253941,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251640,c_65]) ).
tcf(c_253942,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251640,c_63]) ).
tcf(c_253943,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251640,c_67]) ).
tcf(c_253946,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_251640,c_144]) ).
tcf(c_253947,plain,
( ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_251640,c_143]) ).
tcf(c_253948,plain,
( sdtlseqdt0(sK14,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251640,c_275]) ).
tcf(c_253949,plain,
( aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251640,c_172]) ).
tcf(c_253950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_251640,c_162]) ).
tcf(c_253951,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251640,c_158]) ).
tcf(c_253952,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_251640,c_157]) ).
tcf(c_253953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sK14,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251640,c_160]) ).
tcf(c_253954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xm,sK14))
| ( X0 = xm )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251640,c_160]) ).
tcf(c_253955,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_251640,c_167]) ).
tcf(c_253956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,xm))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_251640,c_162]) ).
tcf(c_253957,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_251640,c_166]) ).
tcf(c_253958,plain,
aNaturalNumber0(sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_253949,c_110,c_50]) ).
tcf(c_253959,plain,
sdtlseqdt0(sK14,sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_253948,c_110,c_50]) ).
tcf(c_253960,plain,
( ( sz00 = sK14 )
| ( sdtpldt0(xm,sK14) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253947,c_110,c_50]) ).
tcf(c_253963,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK14) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253946,c_110,c_50]) ).
tcf(c_253966,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253957,c_110,c_50]) ).
tcf(c_253970,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253955,c_110,c_50]) ).
tcf(c_253974,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253952,c_110,c_50]) ).
tcf(c_253979,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253951,c_110,c_50]) ).
tcf(c_253984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,xm))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253956,c_110,c_50]) ).
tcf(c_253989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xm,sK14))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253954,c_110,c_50]) ).
tcf(c_253994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sK14,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253953,c_110,c_50]) ).
tcf(c_253999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253950,c_110,c_50]) ).
tcf(c_254004,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK14)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253943,c_110,c_50]) ).
tcf(c_254011,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK14,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253942,c_110,c_50]) ).
tcf(c_254018,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK14,X0)) = sK14 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK14,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253941,c_110,c_50]) ).
tcf(c_254072,plain,
sdtpldt0(sdtpldt0(xm,sK14),xm) = sdtpldt0(xm,sdtpldt0(xm,sK14)),
inference(superposition,[status(thm)],[c_253958,c_191566]) ).
tcf(c_254073,plain,
sdtpldt0(sdtpldt0(xm,sK14),xn) = sdtpldt0(xn,sdtpldt0(xm,sK14)),
inference(superposition,[status(thm)],[c_253958,c_191565]) ).
tcf(c_254074,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sdtasdt0(X1,sdtpldt0(xm,sK14))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_169]) ).
tcf(c_254075,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sdtasdt0(sdtpldt0(xm,sK14),X1)) = sdtasdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_168]) ).
tcf(c_254076,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK14),X0),X1) = sdtasdt0(sdtpldt0(xm,sK14),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_177]) ).
tcf(c_254077,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),X0),X1) = sdtpldt0(sdtpldt0(xm,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_170]) ).
tcf(c_254078,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK14),X0) = sdtasdt0(X0,sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_178]) ).
tcf(c_254079,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK14),X0) = sdtpldt0(X0,sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_171]) ).
tcf(c_254080,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK14)) = sdtpldt0(xm,sK14),
inference(superposition,[status(thm)],[c_253958,c_154]) ).
tcf(c_254081,plain,
sdtasdt0(sdtpldt0(xm,sK14),sz10) = sdtpldt0(xm,sK14),
inference(superposition,[status(thm)],[c_253958,c_153]) ).
tcf(c_254082,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK14)) = sdtpldt0(xm,sK14),
inference(superposition,[status(thm)],[c_253958,c_150]) ).
tcf(c_254083,plain,
sdtpldt0(sdtpldt0(xm,sK14),sz00) = sdtpldt0(xm,sK14),
inference(superposition,[status(thm)],[c_253958,c_149]) ).
tcf(c_254084,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK14)) = sz00,
inference(superposition,[status(thm)],[c_253958,c_148]) ).
tcf(c_254085,plain,
sdtasdt0(sdtpldt0(xm,sK14),sz00) = sz00,
inference(superposition,[status(thm)],[c_253958,c_147]) ).
tcf(c_254086,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK14)),xn) = sdtpldt0(xm,sK14),
inference(superposition,[status(thm)],[c_253958,c_190836]) ).
tcf(c_254087,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sdtpldt0(xm,sK14)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_253958,c_282]) ).
tcf(c_254107,plain,
( ( sdtpldt0(xm,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),sK14) ),
inference(superposition,[status(thm)],[c_253959,c_194]) ).
tcf(c_254108,plain,
( ( sdtpldt0(sK14,sK19(sK14,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_253959,c_165]) ).
tcf(c_254109,plain,
( iLess0(sK14,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_253959,c_173]) ).
tcf(c_254110,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_253959,c_193]) ).
tcf(c_254111,plain,
( iLess0(sK14,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254109,c_110,c_253958]) ).
tcf(c_254114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254110,c_110,c_253958]) ).
tcf(c_254118,plain,
sdtpldt0(sK14,sK19(sK14,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_254108,c_110,c_253958]) ).
tcf(c_254119,plain,
( ( sdtpldt0(xm,sK14) = sK14 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254107,c_110,c_253958]) ).
tcf(c_254154,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251643,c_65]) ).
tcf(c_254155,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251643,c_63]) ).
tcf(c_254156,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251643,c_67]) ).
tcf(c_254159,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_251643,c_144]) ).
tcf(c_254160,plain,
( ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_251643,c_143]) ).
tcf(c_254161,plain,
( sdtlseqdt0(sK17,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251643,c_275]) ).
tcf(c_254162,plain,
( aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251643,c_172]) ).
tcf(c_254163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_251643,c_162]) ).
tcf(c_254164,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251643,c_158]) ).
tcf(c_254165,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_251643,c_157]) ).
tcf(c_254166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sK17,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251643,c_160]) ).
tcf(c_254167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xm,sK17))
| ( X0 = xm )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251643,c_160]) ).
tcf(c_254168,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_251643,c_167]) ).
tcf(c_254169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,xm))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_251643,c_162]) ).
tcf(c_254170,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_251643,c_166]) ).
tcf(c_254171,plain,
aNaturalNumber0(sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_254162,c_119,c_50]) ).
tcf(c_254172,plain,
sdtlseqdt0(sK17,sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_254161,c_119,c_50]) ).
tcf(c_254173,plain,
( ( sz00 = sK17 )
| ( sdtpldt0(xm,sK17) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254160,c_119,c_50]) ).
tcf(c_254176,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK17) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254159,c_119,c_50]) ).
tcf(c_254179,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254170,c_119,c_50]) ).
tcf(c_254183,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254168,c_119,c_50]) ).
tcf(c_254187,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254165,c_119,c_50]) ).
tcf(c_254192,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254164,c_119,c_50]) ).
tcf(c_254197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,xm))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254169,c_119,c_50]) ).
tcf(c_254202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xm,sK17))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254167,c_119,c_50]) ).
tcf(c_254207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sK17,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254166,c_119,c_50]) ).
tcf(c_254212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254163,c_119,c_50]) ).
tcf(c_254217,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK17)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254156,c_119,c_50]) ).
tcf(c_254224,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK17,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254155,c_119,c_50]) ).
tcf(c_254231,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK17,X0)) = sK17 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK17,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254154,c_119,c_50]) ).
tcf(c_254238,plain,
sdtpldt0(sdtpldt0(xm,sK17),xm) = sdtpldt0(xm,sdtpldt0(xm,sK17)),
inference(superposition,[status(thm)],[c_254171,c_191566]) ).
tcf(c_254239,plain,
sdtpldt0(sdtpldt0(xm,sK17),xn) = sdtpldt0(xn,sdtpldt0(xm,sK17)),
inference(superposition,[status(thm)],[c_254171,c_191565]) ).
tcf(c_254240,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sdtasdt0(X1,sdtpldt0(xm,sK17))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_169]) ).
tcf(c_254241,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sdtasdt0(sdtpldt0(xm,sK17),X1)) = sdtasdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_168]) ).
tcf(c_254242,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK17),X0),X1) = sdtasdt0(sdtpldt0(xm,sK17),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_177]) ).
tcf(c_254243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),X0),X1) = sdtpldt0(sdtpldt0(xm,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_170]) ).
tcf(c_254244,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK17),X0) = sdtasdt0(X0,sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_178]) ).
tcf(c_254245,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK17),X0) = sdtpldt0(X0,sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_171]) ).
tcf(c_254246,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK17)) = sdtpldt0(xm,sK17),
inference(superposition,[status(thm)],[c_254171,c_154]) ).
tcf(c_254247,plain,
sdtasdt0(sdtpldt0(xm,sK17),sz10) = sdtpldt0(xm,sK17),
inference(superposition,[status(thm)],[c_254171,c_153]) ).
tcf(c_254248,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK17)) = sdtpldt0(xm,sK17),
inference(superposition,[status(thm)],[c_254171,c_150]) ).
tcf(c_254249,plain,
sdtpldt0(sdtpldt0(xm,sK17),sz00) = sdtpldt0(xm,sK17),
inference(superposition,[status(thm)],[c_254171,c_149]) ).
tcf(c_254250,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK17)) = sz00,
inference(superposition,[status(thm)],[c_254171,c_148]) ).
tcf(c_254251,plain,
sdtasdt0(sdtpldt0(xm,sK17),sz00) = sz00,
inference(superposition,[status(thm)],[c_254171,c_147]) ).
tcf(c_254252,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK17)),xn) = sdtpldt0(xm,sK17),
inference(superposition,[status(thm)],[c_254171,c_190836]) ).
tcf(c_254253,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sdtpldt0(xm,sK17)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254171,c_282]) ).
tcf(c_254320,plain,
( ( sdtpldt0(xm,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),sK17) ),
inference(superposition,[status(thm)],[c_254172,c_194]) ).
tcf(c_254321,plain,
( ( sdtpldt0(sK17,sK19(sK17,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254172,c_165]) ).
tcf(c_254322,plain,
( iLess0(sK17,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254172,c_173]) ).
tcf(c_254323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254172,c_193]) ).
tcf(c_254324,plain,
( iLess0(sK17,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254322,c_119,c_254171]) ).
tcf(c_254327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254323,c_119,c_254171]) ).
tcf(c_254331,plain,
sdtpldt0(sK17,sK19(sK17,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_254321,c_119,c_254171]) ).
tcf(c_254332,plain,
( ( sdtpldt0(xm,sK17) = sK17 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254320,c_119,c_254171]) ).
tcf(c_254335,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251645,c_65]) ).
tcf(c_254336,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251645,c_63]) ).
tcf(c_254337,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(xm,X0)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251645,c_67]) ).
tcf(c_254340,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_251645,c_144]) ).
tcf(c_254341,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_251645,c_143]) ).
tcf(c_254342,plain,
( sdtlseqdt0(sK18,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251645,c_275]) ).
tcf(c_254343,plain,
( aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251645,c_172]) ).
tcf(c_254344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_251645,c_162]) ).
tcf(c_254345,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251645,c_158]) ).
tcf(c_254346,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_251645,c_157]) ).
tcf(c_254347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sK18,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251645,c_160]) ).
tcf(c_254348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xm,sK18))
| ( X0 = xm )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251645,c_160]) ).
tcf(c_254349,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_251645,c_167]) ).
tcf(c_254350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,xm))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_251645,c_162]) ).
tcf(c_254351,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_251645,c_166]) ).
tcf(c_254352,plain,
aNaturalNumber0(sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_254343,c_127,c_50]) ).
tcf(c_254353,plain,
sdtlseqdt0(sK18,sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_254342,c_127,c_50]) ).
tcf(c_254354,plain,
( ( sz00 = sK18 )
| ( sdtpldt0(xm,sK18) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254341,c_127,c_50]) ).
tcf(c_254357,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sK18) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254340,c_127,c_50]) ).
tcf(c_254360,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254351,c_127,c_50]) ).
tcf(c_254364,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254349,c_127,c_50]) ).
tcf(c_254368,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254346,c_127,c_50]) ).
tcf(c_254373,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254345,c_127,c_50]) ).
tcf(c_254378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,xm))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254350,c_127,c_50]) ).
tcf(c_254383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xm,sK18))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254348,c_127,c_50]) ).
tcf(c_254388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sK18,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254347,c_127,c_50]) ).
tcf(c_254393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254344,c_127,c_50]) ).
tcf(c_254398,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK18)
| sP1(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254337,c_127,c_50]) ).
tcf(c_254405,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK7(sK18,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254336,c_127,c_50]) ).
tcf(c_254412,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK7(sK18,X0)) = sK18 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK18,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254335,c_127,c_50]) ).
tcf(c_254419,plain,
sdtpldt0(sdtpldt0(xm,sK18),xm) = sdtpldt0(xm,sdtpldt0(xm,sK18)),
inference(superposition,[status(thm)],[c_254352,c_191566]) ).
tcf(c_254420,plain,
sdtpldt0(sdtpldt0(xm,sK18),xn) = sdtpldt0(xn,sdtpldt0(xm,sK18)),
inference(superposition,[status(thm)],[c_254352,c_191565]) ).
tcf(c_254421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sdtasdt0(X1,sdtpldt0(xm,sK18))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_169]) ).
tcf(c_254422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sdtasdt0(sdtpldt0(xm,sK18),X1)) = sdtasdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_168]) ).
tcf(c_254423,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK18),X0),X1) = sdtasdt0(sdtpldt0(xm,sK18),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_177]) ).
tcf(c_254424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),X0),X1) = sdtpldt0(sdtpldt0(xm,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_170]) ).
tcf(c_254425,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK18),X0) = sdtasdt0(X0,sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_178]) ).
tcf(c_254426,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK18),X0) = sdtpldt0(X0,sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_171]) ).
tcf(c_254427,plain,
sdtasdt0(sz10,sdtpldt0(xm,sK18)) = sdtpldt0(xm,sK18),
inference(superposition,[status(thm)],[c_254352,c_154]) ).
tcf(c_254428,plain,
sdtasdt0(sdtpldt0(xm,sK18),sz10) = sdtpldt0(xm,sK18),
inference(superposition,[status(thm)],[c_254352,c_153]) ).
tcf(c_254429,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK18)) = sdtpldt0(xm,sK18),
inference(superposition,[status(thm)],[c_254352,c_150]) ).
tcf(c_254430,plain,
sdtpldt0(sdtpldt0(xm,sK18),sz00) = sdtpldt0(xm,sK18),
inference(superposition,[status(thm)],[c_254352,c_149]) ).
tcf(c_254431,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK18)) = sz00,
inference(superposition,[status(thm)],[c_254352,c_148]) ).
tcf(c_254432,plain,
sdtasdt0(sdtpldt0(xm,sK18),sz00) = sz00,
inference(superposition,[status(thm)],[c_254352,c_147]) ).
tcf(c_254433,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sK18)),xn) = sdtpldt0(xm,sK18),
inference(superposition,[status(thm)],[c_254352,c_190836]) ).
tcf(c_254434,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sdtpldt0(xm,sK18)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254352,c_282]) ).
tcf(c_254489,plain,
( ( sdtpldt0(xm,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),sK18) ),
inference(superposition,[status(thm)],[c_254353,c_194]) ).
tcf(c_254490,plain,
( ( sdtpldt0(sK18,sK19(sK18,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254353,c_165]) ).
tcf(c_254491,plain,
( iLess0(sK18,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254353,c_173]) ).
tcf(c_254492,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254353,c_193]) ).
tcf(c_254493,plain,
( iLess0(sK18,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254491,c_127,c_254352]) ).
tcf(c_254496,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254492,c_127,c_254352]) ).
tcf(c_254500,plain,
sdtpldt0(sK18,sK19(sK18,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_254490,c_127,c_254352]) ).
tcf(c_254501,plain,
( ( sdtpldt0(xm,sK18) = sK18 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254489,c_127,c_254352]) ).
tcf(c_254504,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251647,c_65]) ).
tcf(c_254505,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251647,c_63]) ).
tcf(c_254506,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251647,c_67]) ).
tcf(c_254509,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251647,c_144]) ).
tcf(c_254510,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_251647,c_143]) ).
tcf(c_254511,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251647,c_275]) ).
tcf(c_254512,plain,
( aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251647,c_172]) ).
tcf(c_254513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251647,c_162]) ).
tcf(c_254514,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_251647,c_158]) ).
tcf(c_254515,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_251647,c_157]) ).
tcf(c_254516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_251647,c_160]) ).
tcf(c_254517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_251647,c_160]) ).
tcf(c_254518,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_251647,c_167]) ).
tcf(c_254519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_251647,c_162]) ).
tcf(c_254520,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_251647,c_166]) ).
tcf(c_254521,plain,
aNaturalNumber0(sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_254512,c_155,c_50]) ).
tcf(c_254522,plain,
sdtlseqdt0(xm,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_254511,c_155,c_50]) ).
tcf(c_254526,plain,
sdtpldt0(sz10,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_254509,c_156,c_155,c_50]) ).
tcf(c_254527,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254520,c_155,c_50]) ).
tcf(c_254531,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254518,c_155,c_50]) ).
tcf(c_254535,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254515,c_155,c_50]) ).
tcf(c_254540,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254514,c_155,c_50]) ).
tcf(c_254545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254519,c_155,c_50]) ).
tcf(c_254550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254517,c_155,c_50]) ).
tcf(c_254555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254516,c_155,c_50]) ).
tcf(c_254560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254513,c_155,c_50]) ).
tcf(c_254566,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_254505,c_191043]) ).
tcf(c_254567,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254566,c_155,c_50]) ).
tcf(c_254574,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_254504,c_191043]) ).
tcf(c_254575,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254574,c_155,c_50]) ).
tcf(c_254629,plain,
sdtpldt0(sdtpldt0(sz10,xm),xm) = sdtpldt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_254521,c_191566]) ).
tcf(c_254630,plain,
sdtpldt0(sdtpldt0(sz10,xm),xn) = sdtpldt0(xn,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_254521,c_191565]) ).
tcf(c_254631,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtasdt0(X1,sdtpldt0(sz10,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_169]) ).
tcf(c_254632,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtasdt0(sdtpldt0(sz10,xm),X1)) = sdtasdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_168]) ).
tcf(c_254633,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),X1) = sdtasdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_177]) ).
tcf(c_254634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),X0),X1) = sdtpldt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_170]) ).
tcf(c_254635,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xm),X0) = sdtasdt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_178]) ).
tcf(c_254636,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xm),X0) = sdtpldt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_171]) ).
tcf(c_254637,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_254521,c_154]) ).
tcf(c_254638,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_254521,c_153]) ).
tcf(c_254639,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_254521,c_150]) ).
tcf(c_254640,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_254521,c_149]) ).
tcf(c_254641,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xm)) = sz00,
inference(superposition,[status(thm)],[c_254521,c_148]) ).
tcf(c_254642,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_254521,c_147]) ).
tcf(c_254643,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(sz10,xm)),xn) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_254521,c_190836]) ).
tcf(c_254644,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254521,c_282]) ).
tcf(c_254664,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(superposition,[status(thm)],[c_254522,c_194]) ).
tcf(c_254665,plain,
( ( sdtpldt0(xm,sK19(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254522,c_165]) ).
tcf(c_254666,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254522,c_173]) ).
tcf(c_254667,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254522,c_193]) ).
tcf(c_254668,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254666,c_50,c_254521]) ).
tcf(c_254671,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254667,c_50,c_254521]) ).
tcf(c_254675,plain,
sdtpldt0(xm,sK19(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_254665,c_50,c_254521]) ).
tcf(c_254676,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254664,c_50,c_254521]) ).
tcf(c_254679,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK10,xp),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251842,c_65]) ).
tcf(c_254680,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK19(sK10,xp),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251842,c_63]) ).
tcf(c_254681,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK19(sK10,xp),X0)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251842,c_67]) ).
tcf(c_254688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK10,xp)),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(superposition,[status(thm)],[c_251842,c_162]) ).
tcf(c_254689,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sK19(sK10,xp)) ),
inference(superposition,[status(thm)],[c_251842,c_158]) ).
tcf(c_254690,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK10,xp))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(superposition,[status(thm)],[c_251842,c_157]) ).
tcf(c_254691,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK10,X0))
| ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ sdtlseqdt0(sK19(sK10,xp),X0) ),
inference(superposition,[status(thm)],[c_251842,c_160]) ).
tcf(c_254692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),xp)
| ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ sdtlseqdt0(X0,sK19(sK10,xp)) ),
inference(superposition,[status(thm)],[c_251842,c_160]) ).
tcf(c_254693,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ( sdtpldt0(X0,sK19(sK10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_251842,c_167]) ).
tcf(c_254694,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sK10,xp)))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(superposition,[status(thm)],[c_251842,c_162]) ).
tcf(c_254695,plain,
! [X0: $i] :
( ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ( sdtpldt0(sK10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_251842,c_166]) ).
tcf(c_254696,plain,
! [X0: $i] :
( ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ( sdtpldt0(sK10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254695,c_85]) ).
tcf(c_254701,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ( sdtpldt0(X0,sK19(sK10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254693,c_85]) ).
tcf(c_254706,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sK10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254690,c_85]) ).
tcf(c_254712,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sK19(sK10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254689,c_85]) ).
tcf(c_254718,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK19(sK10,xp)))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254694,c_85]) ).
tcf(c_254724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sK10,xp)),xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sK19(sK10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254688,c_85]) ).
tcf(c_254730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),xp)
| ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ sdtlseqdt0(X0,sK19(sK10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254692,c_85]) ).
tcf(c_254736,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sK10,X0))
| ( sK19(sK10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ sdtlseqdt0(sK19(sK10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254691,c_85]) ).
tcf(c_254742,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK10)
| sP1(sK19(sK10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254681,c_85]) ).
tcf(c_254750,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sK10,X0))
| sP1(sK19(sK10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254680,c_85]) ).
tcf(c_254758,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK19(sK10,xp),X0)
| ( sdtasdt0(X0,sK7(sK10,X0)) = sK10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sK10,xp))
| ~ doDivides0(X0,sdtasdt0(sK10,sK19(sK10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254679,c_85]) ).
tcf(c_254781,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_64]) ).
tcf(c_254782,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_62]) ).
tcf(c_254783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_66]) ).
tcf(c_254786,plain,
( ( sz00 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_202691,c_142]) ).
tcf(c_254791,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_64]) ).
tcf(c_254792,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_62]) ).
tcf(c_254793,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_66]) ).
tcf(c_254794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_202691,c_141]) ).
tcf(c_254795,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_202691,c_137]) ).
tcf(c_254796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))))
| ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_202691,c_141]) ).
tcf(c_254797,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_145]) ).
tcf(c_254798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK20(sz10,sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_202691,c_139]) ).
tcf(c_254799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK20(sz10,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_202691,c_139]) ).
tcf(c_254800,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202691,c_146]) ).
tcf(c_254801,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254795,c_155]) ).
tcf(c_254805,plain,
( ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254786,c_156,c_155]) ).
tcf(c_254809,plain,
! [X0: $i] :
( ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254797,c_156,c_155]) ).
tcf(c_254814,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254800,c_155]) ).
tcf(c_254820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK20(sz10,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254799,c_156,c_155]) ).
tcf(c_254826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sK20(sz10,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK20(sz10,sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254798,c_156,c_155]) ).
tcf(c_254832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))))
| ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254796,c_155]) ).
tcf(c_254839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK20(sz10,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254794,c_155]) ).
tcf(c_254846,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254793,c_155]) ).
tcf(c_254855,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254792,c_155]) ).
tcf(c_254864,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254791,c_155]) ).
tcf(c_254873,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254783,c_155]) ).
tcf(c_254882,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254782,c_155]) ).
tcf(c_254891,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sdtsldt0(xn,xr)),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtsldt0(xn,xr))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254781,c_155]) ).
tcf(c_254956,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_64]) ).
tcf(c_254957,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_62]) ).
tcf(c_254958,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_66]) ).
tcf(c_254966,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_64]) ).
tcf(c_254967,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_62]) ).
tcf(c_254968,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_66]) ).
tcf(c_254969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251987,c_141]) ).
tcf(c_254971,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251987,c_141]) ).
tcf(c_254975,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_251987,c_146]) ).
tcf(c_254976,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254975,c_251876,c_151,c_251871]) ).
tcf(c_254980,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254971,c_251876,c_151,c_251871]) ).
tcf(c_254985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254969,c_251876,c_151,c_251871]) ).
tcf(c_254992,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_254958,c_251985]) ).
tcf(c_254993,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254992,c_151,c_251871]) ).
tcf(c_255002,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_254957,c_251985]) ).
tcf(c_255003,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255002,c_151,c_251871]) ).
tcf(c_255011,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_254956,c_251985]) ).
tcf(c_255012,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255011,c_151,c_251871]) ).
tcf(c_255082,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_64]) ).
tcf(c_255083,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_62]) ).
tcf(c_255084,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_66]) ).
tcf(c_255090,plain,
( doDivides0(sdtpldt0(xp,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251988,c_272]) ).
tcf(c_255092,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),sK7(X0,sdtpldt0(xp,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_64]) ).
tcf(c_255093,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xp,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_62]) ).
tcf(c_255094,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| doDivides0(sdtpldt0(xp,xm),X0)
| sP1(X1,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_66]) ).
tcf(c_255098,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_251988,c_145]) ).
tcf(c_255099,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251988,c_139]) ).
tcf(c_255100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251988,c_139]) ).
tcf(c_255102,plain,
doDivides0(sdtpldt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_255090,c_151,c_251871]) ).
tcf(c_255103,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255098,c_251876,c_151,c_251871]) ).
tcf(c_255107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255100,c_251876,c_151,c_251871]) ).
tcf(c_255112,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255099,c_251876,c_151,c_251871]) ).
tcf(c_255117,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255084,c_251986]) ).
tcf(c_255118,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255117,c_151,c_251871]) ).
tcf(c_255126,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255083,c_251986]) ).
tcf(c_255127,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255126,c_151,c_251871]) ).
tcf(c_255135,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| doDivides0(sdtpldt0(xp,xm),X0)
| sP1(X1,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255094,c_151,c_251871]) ).
tcf(c_255143,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xp,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255093,c_151,c_251871]) ).
tcf(c_255151,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255082,c_251986]) ).
tcf(c_255152,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255151,c_151,c_251871]) ).
tcf(c_255160,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),sK7(X0,sdtpldt0(xp,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255092,c_151,c_251871]) ).
tcf(c_255168,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_255102,c_196]) ).
tcf(c_255169,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_255102,c_199]) ).
tcf(c_255171,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_255102,c_180]) ).
tcf(c_255172,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK20(sdtpldt0(xp,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_255102,c_176]) ).
tcf(c_255174,plain,
sdtasdt0(sdtpldt0(xp,xm),sK20(sdtpldt0(xp,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_255172,c_151,c_251871]) ).
tcf(c_255175,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255171,c_151,c_251871]) ).
tcf(c_255179,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_255169,c_251876,c_151,c_251871]) ).
tcf(c_255180,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255168,c_251876,c_151,c_251871]) ).
tcf(c_255183,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_64]) ).
tcf(c_255184,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_62]) ).
tcf(c_255185,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_66]) ).
tcf(c_255193,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_64]) ).
tcf(c_255194,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_62]) ).
tcf(c_255195,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_66]) ).
tcf(c_255196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252154,c_141]) ).
tcf(c_255198,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252154,c_141]) ).
tcf(c_255202,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(X0,sdtpldt0(xm,sK8)) != sz00 ) ),
inference(superposition,[status(thm)],[c_252154,c_146]) ).
tcf(c_255203,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK8)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255202,c_151,c_252057]) ).
tcf(c_255208,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255198,c_151,c_252057]) ).
tcf(c_255214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255196,c_151,c_252057]) ).
tcf(c_255222,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255185,c_252152]) ).
tcf(c_255223,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255222,c_151,c_252057]) ).
tcf(c_255232,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255184,c_252152]) ).
tcf(c_255233,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255232,c_151,c_252057]) ).
tcf(c_255241,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255183,c_252152]) ).
tcf(c_255242,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255241,c_151,c_252057]) ).
tcf(c_255250,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_64]) ).
tcf(c_255251,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_62]) ).
tcf(c_255252,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_66]) ).
tcf(c_255258,plain,
( doDivides0(sdtpldt0(xm,sK8),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252155,c_272]) ).
tcf(c_255260,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),sK7(X0,sdtpldt0(xm,sK8))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_64]) ).
tcf(c_255261,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK8)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_62]) ).
tcf(c_255262,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| doDivides0(sdtpldt0(xm,sK8),X0)
| sP1(X1,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_66]) ).
tcf(c_255266,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_252155,c_145]) ).
tcf(c_255267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252155,c_139]) ).
tcf(c_255268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252155,c_139]) ).
tcf(c_255270,plain,
doDivides0(sdtpldt0(xm,sK8),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_255258,c_151,c_252057]) ).
tcf(c_255271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK8),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255266,c_151,c_252057]) ).
tcf(c_255276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255268,c_151,c_252057]) ).
tcf(c_255282,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255267,c_151,c_252057]) ).
tcf(c_255288,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255252,c_252153]) ).
tcf(c_255289,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255288,c_151,c_252057]) ).
tcf(c_255297,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255251,c_252153]) ).
tcf(c_255298,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255297,c_151,c_252057]) ).
tcf(c_255306,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| doDivides0(sdtpldt0(xm,sK8),X0)
| sP1(X1,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255262,c_151,c_252057]) ).
tcf(c_255314,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK8)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255261,c_151,c_252057]) ).
tcf(c_255322,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255250,c_252153]) ).
tcf(c_255323,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255322,c_151,c_252057]) ).
tcf(c_255331,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),sK7(X0,sdtpldt0(xm,sK8))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255260,c_151,c_252057]) ).
tcf(c_255363,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_255270,c_196]) ).
tcf(c_255364,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK8),sdtsldt0(sz00,sdtpldt0(xm,sK8))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_255270,c_199]) ).
tcf(c_255366,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_255270,c_180]) ).
tcf(c_255367,plain,
( ( sdtasdt0(sdtpldt0(xm,sK8),sK20(sdtpldt0(xm,sK8),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_255270,c_176]) ).
tcf(c_255369,plain,
sdtasdt0(sdtpldt0(xm,sK8),sK20(sdtpldt0(xm,sK8),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_255367,c_151,c_252057]) ).
tcf(c_255370,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255366,c_151,c_252057]) ).
tcf(c_255374,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK8),sdtsldt0(sz00,sdtpldt0(xm,sK8))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255364,c_151,c_252057]) ).
tcf(c_255377,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255363,c_151,c_252057]) ).
tcf(c_255381,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_64]) ).
tcf(c_255382,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_62]) ).
tcf(c_255383,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_66]) ).
tcf(c_255391,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_64]) ).
tcf(c_255392,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_62]) ).
tcf(c_255393,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_66]) ).
tcf(c_255394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252416,c_141]) ).
tcf(c_255396,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252416,c_141]) ).
tcf(c_255400,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(X0,sdtpldt0(xm,sK9)) != sz00 ) ),
inference(superposition,[status(thm)],[c_252416,c_146]) ).
tcf(c_255401,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK9)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255400,c_151,c_252262]) ).
tcf(c_255406,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255396,c_151,c_252262]) ).
tcf(c_255412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255394,c_151,c_252262]) ).
tcf(c_255420,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255383,c_252414]) ).
tcf(c_255421,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255420,c_151,c_252262]) ).
tcf(c_255430,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255382,c_252414]) ).
tcf(c_255431,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255430,c_151,c_252262]) ).
tcf(c_255439,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255381,c_252414]) ).
tcf(c_255440,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255439,c_151,c_252262]) ).
tcf(c_255507,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_64]) ).
tcf(c_255508,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_62]) ).
tcf(c_255509,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_66]) ).
tcf(c_255515,plain,
( doDivides0(sdtpldt0(xm,sK9),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252417,c_272]) ).
tcf(c_255517,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),sK7(X0,sdtpldt0(xm,sK9))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_64]) ).
tcf(c_255518,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK9)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_62]) ).
tcf(c_255519,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| doDivides0(sdtpldt0(xm,sK9),X0)
| sP1(X1,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_66]) ).
tcf(c_255523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_252417,c_145]) ).
tcf(c_255524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252417,c_139]) ).
tcf(c_255525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252417,c_139]) ).
tcf(c_255527,plain,
doDivides0(sdtpldt0(xm,sK9),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_255515,c_151,c_252262]) ).
tcf(c_255528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK9),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255523,c_151,c_252262]) ).
tcf(c_255533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255525,c_151,c_252262]) ).
tcf(c_255539,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255524,c_151,c_252262]) ).
tcf(c_255545,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255509,c_252415]) ).
tcf(c_255546,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255545,c_151,c_252262]) ).
tcf(c_255554,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255508,c_252415]) ).
tcf(c_255555,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255554,c_151,c_252262]) ).
tcf(c_255563,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| doDivides0(sdtpldt0(xm,sK9),X0)
| sP1(X1,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255519,c_151,c_252262]) ).
tcf(c_255571,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK9)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255518,c_151,c_252262]) ).
tcf(c_255579,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255507,c_252415]) ).
tcf(c_255580,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255579,c_151,c_252262]) ).
tcf(c_255588,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),sK7(X0,sdtpldt0(xm,sK9))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255517,c_151,c_252262]) ).
tcf(c_255630,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK9))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_255527,c_196]) ).
tcf(c_255631,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK9),sdtsldt0(sz00,sdtpldt0(xm,sK9))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_255527,c_199]) ).
tcf(c_255633,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_255527,c_180]) ).
tcf(c_255634,plain,
( ( sdtasdt0(sdtpldt0(xm,sK9),sK20(sdtpldt0(xm,sK9),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_255527,c_176]) ).
tcf(c_255636,plain,
sdtasdt0(sdtpldt0(xm,sK9),sK20(sdtpldt0(xm,sK9),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_255634,c_151,c_252262]) ).
tcf(c_255637,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255633,c_151,c_252262]) ).
tcf(c_255641,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK9),sdtsldt0(sz00,sdtpldt0(xm,sK9))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255631,c_151,c_252262]) ).
tcf(c_255644,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK9))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255630,c_151,c_252262]) ).
tcf(c_255648,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_64]) ).
tcf(c_255649,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_62]) ).
tcf(c_255650,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_66]) ).
tcf(c_255658,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_64]) ).
tcf(c_255659,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_62]) ).
tcf(c_255660,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_66]) ).
tcf(c_255661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252771,c_141]) ).
tcf(c_255663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252771,c_141]) ).
tcf(c_255667,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(X0,sdtpldt0(xm,xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_252771,c_146]) ).
tcf(c_255668,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255667,c_252669,c_151,c_252667]) ).
tcf(c_255672,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255663,c_252669,c_151,c_252667]) ).
tcf(c_255677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255661,c_252669,c_151,c_252667]) ).
tcf(c_255684,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255650,c_252769]) ).
tcf(c_255685,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255684,c_151,c_252667]) ).
tcf(c_255694,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255649,c_252769]) ).
tcf(c_255695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255694,c_151,c_252667]) ).
tcf(c_255703,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255648,c_252769]) ).
tcf(c_255704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255703,c_151,c_252667]) ).
tcf(c_255951,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_64]) ).
tcf(c_255952,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_62]) ).
tcf(c_255953,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_66]) ).
tcf(c_255959,plain,
( doDivides0(sdtpldt0(xm,xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252772,c_272]) ).
tcf(c_255961,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),sK7(X0,sdtpldt0(xm,xk))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_64]) ).
tcf(c_255962,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,xk)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_62]) ).
tcf(c_255963,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| doDivides0(sdtpldt0(xm,xk),X0)
| sP1(X1,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_66]) ).
tcf(c_255967,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_252772,c_145]) ).
tcf(c_255968,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252772,c_139]) ).
tcf(c_255969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xk),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252772,c_139]) ).
tcf(c_255971,plain,
doDivides0(sdtpldt0(xm,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_255959,c_151,c_252667]) ).
tcf(c_255972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255967,c_252669,c_151,c_252667]) ).
tcf(c_255976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xk),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255969,c_252669,c_151,c_252667]) ).
tcf(c_255981,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255968,c_252669,c_151,c_252667]) ).
tcf(c_255986,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255953,c_252770]) ).
tcf(c_255987,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255986,c_151,c_252667]) ).
tcf(c_255995,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255952,c_252770]) ).
tcf(c_255996,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255995,c_151,c_252667]) ).
tcf(c_256004,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| doDivides0(sdtpldt0(xm,xk),X0)
| sP1(X1,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255963,c_151,c_252667]) ).
tcf(c_256012,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,xk)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255962,c_151,c_252667]) ).
tcf(c_256020,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_255951,c_252770]) ).
tcf(c_256021,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256020,c_151,c_252667]) ).
tcf(c_256029,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),sK7(X0,sdtpldt0(xm,xk))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255961,c_151,c_252667]) ).
tcf(c_256173,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_255971,c_196]) ).
tcf(c_256174,plain,
( ( sdtpldt0(xm,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xk),sdtsldt0(sz00,sdtpldt0(xm,xk))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_255971,c_199]) ).
tcf(c_256176,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_255971,c_180]) ).
tcf(c_256177,plain,
( ( sdtasdt0(sdtpldt0(xm,xk),sK20(sdtpldt0(xm,xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_255971,c_176]) ).
tcf(c_256179,plain,
sdtasdt0(sdtpldt0(xm,xk),sK20(sdtpldt0(xm,xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_256177,c_151,c_252667]) ).
tcf(c_256180,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256176,c_151,c_252667]) ).
tcf(c_256184,plain,
sdtasdt0(sdtpldt0(xm,xk),sdtsldt0(sz00,sdtpldt0(xm,xk))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_256174,c_252669,c_151,c_252667]) ).
tcf(c_256185,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256173,c_252669,c_151,c_252667]) ).
tcf(c_256188,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_64]) ).
tcf(c_256189,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_62]) ).
tcf(c_256190,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_66]) ).
tcf(c_256198,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_64]) ).
tcf(c_256199,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_62]) ).
tcf(c_256200,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_66]) ).
tcf(c_256201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252949,c_141]) ).
tcf(c_256203,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252949,c_141]) ).
tcf(c_256207,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_252949,c_146]) ).
tcf(c_256208,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256207,c_252840,c_151,c_252835]) ).
tcf(c_256212,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256203,c_252840,c_151,c_252835]) ).
tcf(c_256217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256201,c_252840,c_151,c_252835]) ).
tcf(c_256224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256190,c_252947]) ).
tcf(c_256225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256224,c_151,c_252835]) ).
tcf(c_256234,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256189,c_252947]) ).
tcf(c_256235,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256234,c_151,c_252835]) ).
tcf(c_256243,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256188,c_252947]) ).
tcf(c_256244,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256243,c_151,c_252835]) ).
tcf(c_256312,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_64]) ).
tcf(c_256313,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_62]) ).
tcf(c_256314,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_66]) ).
tcf(c_256320,plain,
( doDivides0(sdtpldt0(xr,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252950,c_272]) ).
tcf(c_256322,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),sK7(X0,sdtpldt0(xr,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_64]) ).
tcf(c_256323,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xr,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_62]) ).
tcf(c_256324,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| doDivides0(sdtpldt0(xr,xm),X0)
| sP1(X1,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_66]) ).
tcf(c_256328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_252950,c_145]) ).
tcf(c_256329,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252950,c_139]) ).
tcf(c_256330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252950,c_139]) ).
tcf(c_256332,plain,
doDivides0(sdtpldt0(xr,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_256320,c_151,c_252835]) ).
tcf(c_256333,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256328,c_252840,c_151,c_252835]) ).
tcf(c_256337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256330,c_252840,c_151,c_252835]) ).
tcf(c_256342,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256329,c_252840,c_151,c_252835]) ).
tcf(c_256347,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256314,c_252948]) ).
tcf(c_256348,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256347,c_151,c_252835]) ).
tcf(c_256356,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256313,c_252948]) ).
tcf(c_256357,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256356,c_151,c_252835]) ).
tcf(c_256365,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| doDivides0(sdtpldt0(xr,xm),X0)
| sP1(X1,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256324,c_151,c_252835]) ).
tcf(c_256373,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xr,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256323,c_151,c_252835]) ).
tcf(c_256381,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256312,c_252948]) ).
tcf(c_256382,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256381,c_151,c_252835]) ).
tcf(c_256390,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),sK7(X0,sdtpldt0(xr,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256322,c_151,c_252835]) ).
tcf(c_256457,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_256332,c_196]) ).
tcf(c_256458,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sz00,sdtpldt0(xr,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_256332,c_199]) ).
tcf(c_256460,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_256332,c_180]) ).
tcf(c_256461,plain,
( ( sdtasdt0(sdtpldt0(xr,xm),sK20(sdtpldt0(xr,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_256332,c_176]) ).
tcf(c_256463,plain,
sdtasdt0(sdtpldt0(xr,xm),sK20(sdtpldt0(xr,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_256461,c_151,c_252835]) ).
tcf(c_256464,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256460,c_151,c_252835]) ).
tcf(c_256468,plain,
sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sz00,sdtpldt0(xr,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_256458,c_252840,c_151,c_252835]) ).
tcf(c_256469,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256457,c_252840,c_151,c_252835]) ).
tcf(c_256472,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_64]) ).
tcf(c_256473,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_62]) ).
tcf(c_256474,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_66]) ).
tcf(c_256477,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_202696,c_142]) ).
tcf(c_256482,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_64]) ).
tcf(c_256483,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_62]) ).
tcf(c_256484,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_66]) ).
tcf(c_256485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(superposition,[status(thm)],[c_202696,c_141]) ).
tcf(c_256486,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(superposition,[status(thm)],[c_202696,c_137]) ).
tcf(c_256487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(superposition,[status(thm)],[c_202696,c_141]) ).
tcf(c_256488,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_145]) ).
tcf(c_256489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ sdtlseqdt0(sdtsldt0(sdtsldt0(xn,xr),sz10),X0) ),
inference(superposition,[status(thm)],[c_202696,c_139]) ).
tcf(c_256490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(superposition,[status(thm)],[c_202696,c_139]) ).
tcf(c_256491,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_202696,c_146]) ).
tcf(c_256492,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256486,c_155]) ).
tcf(c_256496,plain,
( ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256477,c_156,c_155]) ).
tcf(c_256500,plain,
! [X0: $i] :
( ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtasdt0(sz10,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256488,c_156,c_155]) ).
tcf(c_256505,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256491,c_155]) ).
tcf(c_256511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256490,c_156,c_155]) ).
tcf(c_256517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ sdtlseqdt0(sdtsldt0(sdtsldt0(xn,xr),sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256489,c_156,c_155]) ).
tcf(c_256523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256487,c_155]) ).
tcf(c_256530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sdtsldt0(xn,xr),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256485,c_155]) ).
tcf(c_256537,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256484,c_155]) ).
tcf(c_256546,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256483,c_155]) ).
tcf(c_256555,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256482,c_155]) ).
tcf(c_256564,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256474,c_155]) ).
tcf(c_256573,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256473,c_155]) ).
tcf(c_256582,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtsldt0(xn,xr),sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtsldt0(xn,xr),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256472,c_155]) ).
tcf(c_256605,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_64]) ).
tcf(c_256606,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_62]) ).
tcf(c_256607,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_66]) ).
tcf(c_256615,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_64]) ).
tcf(c_256616,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_62]) ).
tcf(c_256617,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_66]) ).
tcf(c_256618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253168,c_141]) ).
tcf(c_256620,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253168,c_141]) ).
tcf(c_256624,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(X0,sdtpldt0(xm,sK11)) != sz00 ) ),
inference(superposition,[status(thm)],[c_253168,c_146]) ).
tcf(c_256625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK11)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256624,c_151,c_253045]) ).
tcf(c_256630,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256620,c_151,c_253045]) ).
tcf(c_256636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256618,c_151,c_253045]) ).
tcf(c_256644,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256607,c_253166]) ).
tcf(c_256645,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256644,c_151,c_253045]) ).
tcf(c_256654,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256606,c_253166]) ).
tcf(c_256655,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256654,c_151,c_253045]) ).
tcf(c_256663,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256605,c_253166]) ).
tcf(c_256664,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256663,c_151,c_253045]) ).
tcf(c_256695,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_64]) ).
tcf(c_256696,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_62]) ).
tcf(c_256697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_66]) ).
tcf(c_256703,plain,
( doDivides0(sdtpldt0(xm,sK11),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253169,c_272]) ).
tcf(c_256705,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),sK7(X0,sdtpldt0(xm,sK11))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_64]) ).
tcf(c_256706,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK11)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_62]) ).
tcf(c_256707,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| doDivides0(sdtpldt0(xm,sK11),X0)
| sP1(X1,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_66]) ).
tcf(c_256711,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_253169,c_145]) ).
tcf(c_256712,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253169,c_139]) ).
tcf(c_256713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253169,c_139]) ).
tcf(c_256715,plain,
doDivides0(sdtpldt0(xm,sK11),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_256703,c_151,c_253045]) ).
tcf(c_256716,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK11),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256711,c_151,c_253045]) ).
tcf(c_256721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256713,c_151,c_253045]) ).
tcf(c_256727,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256712,c_151,c_253045]) ).
tcf(c_256733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256697,c_253167]) ).
tcf(c_256734,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256733,c_151,c_253045]) ).
tcf(c_256742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256696,c_253167]) ).
tcf(c_256743,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256742,c_151,c_253045]) ).
tcf(c_256751,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| doDivides0(sdtpldt0(xm,sK11),X0)
| sP1(X1,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256707,c_151,c_253045]) ).
tcf(c_256759,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK11)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256706,c_151,c_253045]) ).
tcf(c_256767,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256695,c_253167]) ).
tcf(c_256768,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256767,c_151,c_253045]) ).
tcf(c_256776,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),sK7(X0,sdtpldt0(xm,sK11))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256705,c_151,c_253045]) ).
tcf(c_256819,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_256715,c_196]) ).
tcf(c_256820,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK11),sdtsldt0(sz00,sdtpldt0(xm,sK11))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_256715,c_199]) ).
tcf(c_256822,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_256715,c_180]) ).
tcf(c_256823,plain,
( ( sdtasdt0(sdtpldt0(xm,sK11),sK20(sdtpldt0(xm,sK11),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_256715,c_176]) ).
tcf(c_256825,plain,
sdtasdt0(sdtpldt0(xm,sK11),sK20(sdtpldt0(xm,sK11),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_256823,c_151,c_253045]) ).
tcf(c_256826,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256822,c_151,c_253045]) ).
tcf(c_256830,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK11),sdtsldt0(sz00,sdtpldt0(xm,sK11))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256820,c_151,c_253045]) ).
tcf(c_256833,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256819,c_151,c_253045]) ).
tcf(c_256849,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_64]) ).
tcf(c_256850,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_62]) ).
tcf(c_256851,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_66]) ).
tcf(c_256859,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_64]) ).
tcf(c_256860,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_62]) ).
tcf(c_256861,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_66]) ).
tcf(c_256862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253585,c_141]) ).
tcf(c_256864,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253585,c_141]) ).
tcf(c_256868,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(X0,sdtpldt0(xm,sK12)) != sz00 ) ),
inference(superposition,[status(thm)],[c_253585,c_146]) ).
tcf(c_256869,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK12)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256868,c_151,c_253223]) ).
tcf(c_256874,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256864,c_151,c_253223]) ).
tcf(c_256880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256862,c_151,c_253223]) ).
tcf(c_256888,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256851,c_253583]) ).
tcf(c_256889,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256888,c_151,c_253223]) ).
tcf(c_256898,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256850,c_253583]) ).
tcf(c_256899,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256898,c_151,c_253223]) ).
tcf(c_256907,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256849,c_253583]) ).
tcf(c_256908,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256907,c_151,c_253223]) ).
tcf(c_256975,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_64]) ).
tcf(c_256976,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_62]) ).
tcf(c_256977,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_66]) ).
tcf(c_256983,plain,
( doDivides0(sdtpldt0(xm,sK12),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253586,c_272]) ).
tcf(c_256985,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),sK7(X0,sdtpldt0(xm,sK12))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_64]) ).
tcf(c_256986,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK12)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_62]) ).
tcf(c_256987,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| doDivides0(sdtpldt0(xm,sK12),X0)
| sP1(X1,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_66]) ).
tcf(c_256991,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_253586,c_145]) ).
tcf(c_256992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253586,c_139]) ).
tcf(c_256993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253586,c_139]) ).
tcf(c_256995,plain,
doDivides0(sdtpldt0(xm,sK12),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_256983,c_151,c_253223]) ).
tcf(c_256996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK12),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256991,c_151,c_253223]) ).
tcf(c_257001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256993,c_151,c_253223]) ).
tcf(c_257007,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256992,c_151,c_253223]) ).
tcf(c_257013,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256977,c_253584]) ).
tcf(c_257014,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257013,c_151,c_253223]) ).
tcf(c_257022,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256976,c_253584]) ).
tcf(c_257023,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257022,c_151,c_253223]) ).
tcf(c_257031,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| doDivides0(sdtpldt0(xm,sK12),X0)
| sP1(X1,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256987,c_151,c_253223]) ).
tcf(c_257039,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK12)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256986,c_151,c_253223]) ).
tcf(c_257047,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_256975,c_253584]) ).
tcf(c_257048,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257047,c_151,c_253223]) ).
tcf(c_257056,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),sK7(X0,sdtpldt0(xm,sK12))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256985,c_151,c_253223]) ).
tcf(c_257064,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_256995,c_196]) ).
tcf(c_257065,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK12),sdtsldt0(sz00,sdtpldt0(xm,sK12))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_256995,c_199]) ).
tcf(c_257067,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_256995,c_180]) ).
tcf(c_257068,plain,
( ( sdtasdt0(sdtpldt0(xm,sK12),sK20(sdtpldt0(xm,sK12),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_256995,c_176]) ).
tcf(c_257070,plain,
sdtasdt0(sdtpldt0(xm,sK12),sK20(sdtpldt0(xm,sK12),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_257068,c_151,c_253223]) ).
tcf(c_257071,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257067,c_151,c_253223]) ).
tcf(c_257075,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK12),sdtsldt0(sz00,sdtpldt0(xm,sK12))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257065,c_151,c_253223]) ).
tcf(c_257078,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257064,c_151,c_253223]) ).
tcf(c_257082,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_64]) ).
tcf(c_257083,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_62]) ).
tcf(c_257084,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_66]) ).
tcf(c_257092,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_64]) ).
tcf(c_257093,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_62]) ).
tcf(c_257094,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_66]) ).
tcf(c_257095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253903,c_141]) ).
tcf(c_257097,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253903,c_141]) ).
tcf(c_257101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(X0,sdtpldt0(xm,sK13)) != sz00 ) ),
inference(superposition,[status(thm)],[c_253903,c_146]) ).
tcf(c_257102,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK13)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257101,c_151,c_253640]) ).
tcf(c_257107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257097,c_151,c_253640]) ).
tcf(c_257113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257095,c_151,c_253640]) ).
tcf(c_257121,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257084,c_253901]) ).
tcf(c_257122,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257121,c_151,c_253640]) ).
tcf(c_257131,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257083,c_253901]) ).
tcf(c_257132,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257131,c_151,c_253640]) ).
tcf(c_257140,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257082,c_253901]) ).
tcf(c_257141,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257140,c_151,c_253640]) ).
tcf(c_257149,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_64]) ).
tcf(c_257150,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_62]) ).
tcf(c_257151,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_66]) ).
tcf(c_257157,plain,
( doDivides0(sdtpldt0(xm,sK13),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253904,c_272]) ).
tcf(c_257159,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),sK7(X0,sdtpldt0(xm,sK13))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_64]) ).
tcf(c_257160,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK13)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_62]) ).
tcf(c_257161,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| doDivides0(sdtpldt0(xm,sK13),X0)
| sP1(X1,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_66]) ).
tcf(c_257165,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_253904,c_145]) ).
tcf(c_257166,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253904,c_139]) ).
tcf(c_257167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253904,c_139]) ).
tcf(c_257169,plain,
doDivides0(sdtpldt0(xm,sK13),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_257157,c_151,c_253640]) ).
tcf(c_257170,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK13),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257165,c_151,c_253640]) ).
tcf(c_257175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257167,c_151,c_253640]) ).
tcf(c_257181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257166,c_151,c_253640]) ).
tcf(c_257187,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257151,c_253902]) ).
tcf(c_257188,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257187,c_151,c_253640]) ).
tcf(c_257196,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257150,c_253902]) ).
tcf(c_257197,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257196,c_151,c_253640]) ).
tcf(c_257205,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| doDivides0(sdtpldt0(xm,sK13),X0)
| sP1(X1,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257161,c_151,c_253640]) ).
tcf(c_257213,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK13)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257160,c_151,c_253640]) ).
tcf(c_257221,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_257149,c_253902]) ).
tcf(c_257222,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257221,c_151,c_253640]) ).
tcf(c_257230,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),sK7(X0,sdtpldt0(xm,sK13))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257159,c_151,c_253640]) ).
tcf(c_265559,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_257169,c_196]) ).
tcf(c_265560,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK13),sdtsldt0(sz00,sdtpldt0(xm,sK13))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_257169,c_199]) ).
tcf(c_265562,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_257169,c_180]) ).
tcf(c_265563,plain,
( ( sdtasdt0(sdtpldt0(xm,sK13),sK20(sdtpldt0(xm,sK13),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_257169,c_176]) ).
tcf(c_265565,plain,
sdtasdt0(sdtpldt0(xm,sK13),sK20(sdtpldt0(xm,sK13),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_265563,c_151,c_253640]) ).
tcf(c_265566,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265562,c_151,c_253640]) ).
tcf(c_265570,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK13),sdtsldt0(sz00,sdtpldt0(xm,sK13))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265560,c_151,c_253640]) ).
tcf(c_265573,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265559,c_151,c_253640]) ).
tcf(c_266022,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_64]) ).
tcf(c_266023,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_62]) ).
tcf(c_266024,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_66]) ).
tcf(c_266032,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_64]) ).
tcf(c_266033,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_62]) ).
tcf(c_266034,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_66]) ).
tcf(c_266035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254084,c_141]) ).
tcf(c_266037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254084,c_141]) ).
tcf(c_266041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(X0,sdtpldt0(xm,sK14)) != sz00 ) ),
inference(superposition,[status(thm)],[c_254084,c_146]) ).
tcf(c_266042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK14)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266041,c_151,c_253958]) ).
tcf(c_266047,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266037,c_151,c_253958]) ).
tcf(c_266053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266035,c_151,c_253958]) ).
tcf(c_266061,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266024,c_254082]) ).
tcf(c_266062,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266061,c_151,c_253958]) ).
tcf(c_266071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266023,c_254082]) ).
tcf(c_266072,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266071,c_151,c_253958]) ).
tcf(c_266080,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266022,c_254082]) ).
tcf(c_266081,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266080,c_151,c_253958]) ).
tcf(c_266089,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_64]) ).
tcf(c_266090,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_62]) ).
tcf(c_266091,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_66]) ).
tcf(c_266097,plain,
( doDivides0(sdtpldt0(xm,sK14),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254085,c_272]) ).
tcf(c_266099,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),sK7(X0,sdtpldt0(xm,sK14))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_64]) ).
tcf(c_266100,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK14)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_62]) ).
tcf(c_266101,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| doDivides0(sdtpldt0(xm,sK14),X0)
| sP1(X1,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_66]) ).
tcf(c_266105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_254085,c_145]) ).
tcf(c_266106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254085,c_139]) ).
tcf(c_266107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254085,c_139]) ).
tcf(c_266109,plain,
doDivides0(sdtpldt0(xm,sK14),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_266097,c_151,c_253958]) ).
tcf(c_266110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK14),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266105,c_151,c_253958]) ).
tcf(c_266115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266107,c_151,c_253958]) ).
tcf(c_266121,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266106,c_151,c_253958]) ).
tcf(c_266127,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266091,c_254083]) ).
tcf(c_266128,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266127,c_151,c_253958]) ).
tcf(c_266136,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266090,c_254083]) ).
tcf(c_266137,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266136,c_151,c_253958]) ).
tcf(c_266145,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| doDivides0(sdtpldt0(xm,sK14),X0)
| sP1(X1,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266101,c_151,c_253958]) ).
tcf(c_266153,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK14)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266100,c_151,c_253958]) ).
tcf(c_266161,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266089,c_254083]) ).
tcf(c_266162,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266161,c_151,c_253958]) ).
tcf(c_266170,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),sK7(X0,sdtpldt0(xm,sK14))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266099,c_151,c_253958]) ).
tcf(c_266178,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_266109,c_196]) ).
tcf(c_266179,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK14),sdtsldt0(sz00,sdtpldt0(xm,sK14))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_266109,c_199]) ).
tcf(c_266181,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_266109,c_180]) ).
tcf(c_266182,plain,
( ( sdtasdt0(sdtpldt0(xm,sK14),sK20(sdtpldt0(xm,sK14),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_266109,c_176]) ).
tcf(c_266184,plain,
sdtasdt0(sdtpldt0(xm,sK14),sK20(sdtpldt0(xm,sK14),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266182,c_151,c_253958]) ).
tcf(c_266185,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266181,c_151,c_253958]) ).
tcf(c_266189,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK14),sdtsldt0(sz00,sdtpldt0(xm,sK14))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266179,c_151,c_253958]) ).
tcf(c_266192,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266178,c_151,c_253958]) ).
tcf(c_266196,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_64]) ).
tcf(c_266197,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_62]) ).
tcf(c_266198,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_66]) ).
tcf(c_266206,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_64]) ).
tcf(c_266207,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_62]) ).
tcf(c_266208,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_66]) ).
tcf(c_266209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254250,c_141]) ).
tcf(c_266211,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254250,c_141]) ).
tcf(c_266215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(X0,sdtpldt0(xm,sK17)) != sz00 ) ),
inference(superposition,[status(thm)],[c_254250,c_146]) ).
tcf(c_266216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK17)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266215,c_151,c_254171]) ).
tcf(c_266221,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266211,c_151,c_254171]) ).
tcf(c_266227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266209,c_151,c_254171]) ).
tcf(c_266235,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266198,c_254248]) ).
tcf(c_266236,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266235,c_151,c_254171]) ).
tcf(c_266245,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266197,c_254248]) ).
tcf(c_266246,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266245,c_151,c_254171]) ).
tcf(c_266254,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266196,c_254248]) ).
tcf(c_266255,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266254,c_151,c_254171]) ).
tcf(c_266263,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_64]) ).
tcf(c_266264,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_62]) ).
tcf(c_266265,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_66]) ).
tcf(c_266271,plain,
( doDivides0(sdtpldt0(xm,sK17),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254251,c_272]) ).
tcf(c_266273,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),sK7(X0,sdtpldt0(xm,sK17))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_64]) ).
tcf(c_266274,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK17)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_62]) ).
tcf(c_266275,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| doDivides0(sdtpldt0(xm,sK17),X0)
| sP1(X1,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_66]) ).
tcf(c_266279,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_254251,c_145]) ).
tcf(c_266280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254251,c_139]) ).
tcf(c_266281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254251,c_139]) ).
tcf(c_266283,plain,
doDivides0(sdtpldt0(xm,sK17),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_266271,c_151,c_254171]) ).
tcf(c_266284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK17),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266279,c_151,c_254171]) ).
tcf(c_266289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266281,c_151,c_254171]) ).
tcf(c_266295,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266280,c_151,c_254171]) ).
tcf(c_266301,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266265,c_254249]) ).
tcf(c_266302,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266301,c_151,c_254171]) ).
tcf(c_266310,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266264,c_254249]) ).
tcf(c_266311,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266310,c_151,c_254171]) ).
tcf(c_266319,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| doDivides0(sdtpldt0(xm,sK17),X0)
| sP1(X1,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266275,c_151,c_254171]) ).
tcf(c_266327,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK17)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266274,c_151,c_254171]) ).
tcf(c_266335,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266263,c_254249]) ).
tcf(c_266336,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266335,c_151,c_254171]) ).
tcf(c_266344,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),sK7(X0,sdtpldt0(xm,sK17))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266273,c_151,c_254171]) ).
tcf(c_266399,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_266283,c_196]) ).
tcf(c_266400,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK17),sdtsldt0(sz00,sdtpldt0(xm,sK17))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_266283,c_199]) ).
tcf(c_266402,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_266283,c_180]) ).
tcf(c_266403,plain,
( ( sdtasdt0(sdtpldt0(xm,sK17),sK20(sdtpldt0(xm,sK17),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_266283,c_176]) ).
tcf(c_266405,plain,
sdtasdt0(sdtpldt0(xm,sK17),sK20(sdtpldt0(xm,sK17),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266403,c_151,c_254171]) ).
tcf(c_266406,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266402,c_151,c_254171]) ).
tcf(c_266410,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK17),sdtsldt0(sz00,sdtpldt0(xm,sK17))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266400,c_151,c_254171]) ).
tcf(c_266413,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266399,c_151,c_254171]) ).
tcf(c_266417,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_64]) ).
tcf(c_266418,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_62]) ).
tcf(c_266419,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_66]) ).
tcf(c_266427,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_64]) ).
tcf(c_266428,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_62]) ).
tcf(c_266429,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_66]) ).
tcf(c_266430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254431,c_141]) ).
tcf(c_266432,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254431,c_141]) ).
tcf(c_266436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(X0,sdtpldt0(xm,sK18)) != sz00 ) ),
inference(superposition,[status(thm)],[c_254431,c_146]) ).
tcf(c_266437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK18)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266436,c_151,c_254352]) ).
tcf(c_266442,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266432,c_151,c_254352]) ).
tcf(c_266448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266430,c_151,c_254352]) ).
tcf(c_266456,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266419,c_254429]) ).
tcf(c_266457,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266456,c_151,c_254352]) ).
tcf(c_266466,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266418,c_254429]) ).
tcf(c_266467,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266466,c_151,c_254352]) ).
tcf(c_266475,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266417,c_254429]) ).
tcf(c_266476,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266475,c_151,c_254352]) ).
tcf(c_266595,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_64]) ).
tcf(c_266596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_62]) ).
tcf(c_266597,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_66]) ).
tcf(c_266603,plain,
( doDivides0(sdtpldt0(xm,sK18),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254432,c_272]) ).
tcf(c_266605,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),sK7(X0,sdtpldt0(xm,sK18))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_64]) ).
tcf(c_266606,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK18)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_62]) ).
tcf(c_266607,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| doDivides0(sdtpldt0(xm,sK18),X0)
| sP1(X1,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_66]) ).
tcf(c_266611,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_254432,c_145]) ).
tcf(c_266612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254432,c_139]) ).
tcf(c_266613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254432,c_139]) ).
tcf(c_266615,plain,
doDivides0(sdtpldt0(xm,sK18),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_266603,c_151,c_254352]) ).
tcf(c_266616,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK18),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266611,c_151,c_254352]) ).
tcf(c_266621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266613,c_151,c_254352]) ).
tcf(c_266627,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266612,c_151,c_254352]) ).
tcf(c_266633,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266597,c_254430]) ).
tcf(c_266634,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266633,c_151,c_254352]) ).
tcf(c_266642,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266596,c_254430]) ).
tcf(c_266643,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266642,c_151,c_254352]) ).
tcf(c_266651,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| doDivides0(sdtpldt0(xm,sK18),X0)
| sP1(X1,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266607,c_151,c_254352]) ).
tcf(c_266659,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK18)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266606,c_151,c_254352]) ).
tcf(c_266667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266595,c_254430]) ).
tcf(c_266668,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266667,c_151,c_254352]) ).
tcf(c_266676,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),sK7(X0,sdtpldt0(xm,sK18))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266605,c_151,c_254352]) ).
tcf(c_266684,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_266615,c_196]) ).
tcf(c_266685,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK18),sdtsldt0(sz00,sdtpldt0(xm,sK18))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_266615,c_199]) ).
tcf(c_266687,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_266615,c_180]) ).
tcf(c_266688,plain,
( ( sdtasdt0(sdtpldt0(xm,sK18),sK20(sdtpldt0(xm,sK18),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_266615,c_176]) ).
tcf(c_266690,plain,
sdtasdt0(sdtpldt0(xm,sK18),sK20(sdtpldt0(xm,sK18),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266688,c_151,c_254352]) ).
tcf(c_266691,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266687,c_151,c_254352]) ).
tcf(c_266695,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK18),sdtsldt0(sz00,sdtpldt0(xm,sK18))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266685,c_151,c_254352]) ).
tcf(c_266698,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266684,c_151,c_254352]) ).
tcf(c_266702,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_64]) ).
tcf(c_266703,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_62]) ).
tcf(c_266704,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_66]) ).
tcf(c_266712,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK7(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_64]) ).
tcf(c_266713,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK7(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_62]) ).
tcf(c_266714,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_66]) ).
tcf(c_266715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254641,c_141]) ).
tcf(c_266717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254641,c_141]) ).
tcf(c_266721,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_254641,c_146]) ).
tcf(c_266722,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266721,c_254526,c_151,c_254521]) ).
tcf(c_266726,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266717,c_254526,c_151,c_254521]) ).
tcf(c_266731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266715,c_254526,c_151,c_254521]) ).
tcf(c_266738,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266704,c_254639]) ).
tcf(c_266739,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266738,c_151,c_254521]) ).
tcf(c_266748,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266703,c_254639]) ).
tcf(c_266749,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266748,c_151,c_254521]) ).
tcf(c_266757,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266702,c_254639]) ).
tcf(c_266758,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266757,c_151,c_254521]) ).
tcf(c_266766,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_64]) ).
tcf(c_266767,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_62]) ).
tcf(c_266768,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_66]) ).
tcf(c_266774,plain,
( doDivides0(sdtpldt0(sz10,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254642,c_272]) ).
tcf(c_266776,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),sK7(X0,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_64]) ).
tcf(c_266777,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_62]) ).
tcf(c_266778,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| doDivides0(sdtpldt0(sz10,xm),X0)
| sP1(X1,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_66]) ).
tcf(c_266782,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_254642,c_145]) ).
tcf(c_266783,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254642,c_139]) ).
tcf(c_266784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254642,c_139]) ).
tcf(c_266786,plain,
doDivides0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_266774,c_151,c_254521]) ).
tcf(c_266787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266782,c_254526,c_151,c_254521]) ).
tcf(c_266791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266784,c_254526,c_151,c_254521]) ).
tcf(c_266796,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266783,c_254526,c_151,c_254521]) ).
tcf(c_266801,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266768,c_254640]) ).
tcf(c_266802,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266801,c_151,c_254521]) ).
tcf(c_266810,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266767,c_254640]) ).
tcf(c_266811,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266810,c_151,c_254521]) ).
tcf(c_266819,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| doDivides0(sdtpldt0(sz10,xm),X0)
| sP1(X1,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266778,c_151,c_254521]) ).
tcf(c_266827,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266777,c_151,c_254521]) ).
tcf(c_266835,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_266766,c_254640]) ).
tcf(c_266836,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266835,c_151,c_254521]) ).
tcf(c_266844,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),sK7(X0,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266776,c_151,c_254521]) ).
tcf(c_266914,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_266786,c_196]) ).
tcf(c_266915,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_266786,c_199]) ).
tcf(c_266917,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_266786,c_180]) ).
tcf(c_266918,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK20(sdtpldt0(sz10,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_266786,c_176]) ).
tcf(c_266920,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK20(sdtpldt0(sz10,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266918,c_151,c_254521]) ).
tcf(c_266921,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266917,c_151,c_254521]) ).
tcf(c_266925,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266915,c_254526,c_151,c_254521]) ).
tcf(c_266926,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266914,c_254526,c_151,c_254521]) ).
tcf(c_267013,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_192,c_251846]) ).
tcf(c_267040,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267013,c_85]) ).
tcf(c_267050,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_267040,c_194]) ).
tcf(c_267051,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sK10,sK19(sK10,X0)) = X0 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_267040,c_165]) ).
tcf(c_267052,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sK10,X0)
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_267040,c_173]) ).
tcf(c_267053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_267040,c_193]) ).
tcf(c_267082,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_267040,c_194]) ).
tcf(c_267083,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_267040,c_165]) ).
tcf(c_267084,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_267040,c_173]) ).
tcf(c_267085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_267040,c_193]) ).
tcf(c_267086,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267084,c_51]) ).
tcf(c_267091,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sK10,X0)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267052,c_85]) ).
tcf(c_267096,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| ( sdtpldt0(X0,sK19(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267083,c_51]) ).
tcf(c_267100,plain,
! [X0: $i] :
( sdtlseqdt0(sK10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267082,c_51]) ).
tcf(c_267105,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sK10,sK19(sK10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267051,c_85]) ).
tcf(c_267109,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267050,c_85]) ).
tcf(c_267114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267085,c_51]) ).
tcf(c_267120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267053,c_85]) ).
tcf(c_267210,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_64]) ).
tcf(c_267211,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_62]) ).
tcf(c_267212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_66]) ).
tcf(c_267218,plain,
( doDivides0(sz10,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251983,c_272]) ).
tcf(c_267220,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_64]) ).
tcf(c_267221,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_62]) ).
tcf(c_267222,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_66]) ).
tcf(c_267223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251983,c_141]) ).
tcf(c_267224,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251983,c_137]) ).
tcf(c_267225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251983,c_141]) ).
tcf(c_267226,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_145]) ).
tcf(c_267227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_251983,c_139]) ).
tcf(c_267228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251983,c_139]) ).
tcf(c_267229,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251983,c_146]) ).
tcf(c_267230,plain,
doDivides0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267218,c_155,c_251871]) ).
tcf(c_267231,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267224,c_251876,c_155,c_251871]) ).
tcf(c_267232,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267226,c_156,c_155,c_251871]) ).
tcf(c_267236,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267229,c_251876,c_155,c_251871]) ).
tcf(c_267240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267228,c_156,c_155,c_251871]) ).
tcf(c_267245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267227,c_156,c_155,c_251871]) ).
tcf(c_267250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267225,c_251876,c_155,c_251871]) ).
tcf(c_267255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267223,c_251876,c_155,c_251871]) ).
tcf(c_267260,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267222,c_155,c_251871]) ).
tcf(c_267268,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267221,c_155,c_251871]) ).
tcf(c_267276,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267212,c_155,c_251871]) ).
tcf(c_267284,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267220,c_155,c_251871]) ).
tcf(c_267292,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267211,c_155,c_251871]) ).
tcf(c_267300,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xp,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267210,c_155,c_251871]) ).
tcf(c_267308,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267230,c_196]) ).
tcf(c_267309,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267230,c_199]) ).
tcf(c_267311,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_267230,c_180]) ).
tcf(c_267312,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267230,c_176]) ).
tcf(c_267315,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267312,c_155,c_251871]) ).
tcf(c_267316,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267311,c_155,c_251871]) ).
tcf(c_267320,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267309,c_156,c_155,c_251871]) ).
tcf(c_267321,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267308,c_156,c_155,c_251871]) ).
tcf(c_267324,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(superposition,[status(thm)],[c_267231,c_194]) ).
tcf(c_267325,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267231,c_165]) ).
tcf(c_267326,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267231,c_173]) ).
tcf(c_267327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267231,c_193]) ).
tcf(c_267328,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267326,c_155,c_251871]) ).
tcf(c_267331,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267327,c_155,c_251871]) ).
tcf(c_267335,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267325,c_155,c_251871]) ).
tcf(c_267336,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267324,c_155,c_251871]) ).
tcf(c_267386,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_64]) ).
tcf(c_267387,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_62]) ).
tcf(c_267388,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_66]) ).
tcf(c_267394,plain,
( doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251984,c_272]) ).
tcf(c_267396,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),sK7(X0,sdtpldt0(xp,xm))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_64]) ).
tcf(c_267397,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xp,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_62]) ).
tcf(c_267398,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| doDivides0(sdtpldt0(xp,xm),X0)
| sP1(X1,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_66]) ).
tcf(c_267399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251984,c_141]) ).
tcf(c_267400,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251984,c_137]) ).
tcf(c_267401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_251984,c_141]) ).
tcf(c_267402,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_145]) ).
tcf(c_267403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251984,c_139]) ).
tcf(c_267404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251984,c_139]) ).
tcf(c_267405,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251984,c_146]) ).
tcf(c_267406,plain,
doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267394,c_155,c_251871]) ).
tcf(c_267407,plain,
sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267400,c_156,c_155,c_251871]) ).
tcf(c_267408,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267405,c_156,c_155,c_251871]) ).
tcf(c_267412,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267402,c_251876,c_155,c_251871]) ).
tcf(c_267416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267404,c_251876,c_155,c_251871]) ).
tcf(c_267421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267403,c_251876,c_155,c_251871]) ).
tcf(c_267426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267401,c_156,c_155,c_251871]) ).
tcf(c_267431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267399,c_156,c_155,c_251871]) ).
tcf(c_267436,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267388,c_155,c_251871]) ).
tcf(c_267444,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267387,c_155,c_251871]) ).
tcf(c_267452,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| doDivides0(sdtpldt0(xp,xm),X0)
| sP1(X1,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267398,c_155,c_251871]) ).
tcf(c_267460,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xp,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267397,c_155,c_251871]) ).
tcf(c_267468,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267386,c_155,c_251871]) ).
tcf(c_267476,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xp,xm))
| sP1(X1,sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),sK7(X0,sdtpldt0(xp,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267396,c_155,c_251871]) ).
tcf(c_267484,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267406,c_196]) ).
tcf(c_267485,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267406,c_199]) ).
tcf(c_267488,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK20(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267406,c_176]) ).
tcf(c_267490,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(superposition,[status(thm)],[c_267406,c_157]) ).
tcf(c_267491,plain,
sdtasdt0(sdtpldt0(xp,xm),sK20(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267488,c_251871]) ).
tcf(c_267492,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267490,c_51,c_50,c_251871]) ).
tcf(c_267495,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267485,c_251876,c_251871]) ).
tcf(c_267496,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267484,c_251876,c_251871]) ).
tcf(c_267500,plain,
( ( sdtpldt0(sdtpldt0(xp,xm),sK19(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267407,c_165]) ).
tcf(c_267503,plain,
sdtpldt0(sdtpldt0(xp,xm),sK19(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267500,c_251871]) ).
tcf(c_267504,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251985,c_65]) ).
tcf(c_267505,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251985,c_63]) ).
tcf(c_267506,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251985,c_67]) ).
tcf(c_267511,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251985,c_275]) ).
tcf(c_267513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251985,c_162]) ).
tcf(c_267516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_251985,c_160]) ).
tcf(c_267517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251985,c_160]) ).
tcf(c_267518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251985,c_167]) ).
tcf(c_267519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251985,c_162]) ).
tcf(c_267520,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251985,c_166]) ).
tcf(c_267521,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267511,c_151,c_251871]) ).
tcf(c_267522,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267520,c_151,c_251871]) ).
tcf(c_267526,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267518,c_151,c_251871]) ).
tcf(c_267530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267519,c_151,c_251871]) ).
tcf(c_267535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267513,c_151,c_251871]) ).
tcf(c_267540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267517,c_151,c_251871]) ).
tcf(c_267545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267516,c_151,c_251871]) ).
tcf(c_267551,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_267505,c_251987]) ).
tcf(c_267552,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267551,c_151,c_251871]) ).
tcf(c_267559,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_267504,c_251987]) ).
tcf(c_267560,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xp,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267559,c_151,c_251871]) ).
tcf(c_267708,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz00) ),
inference(superposition,[status(thm)],[c_267521,c_194]) ).
tcf(c_267709,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267521,c_165]) ).
tcf(c_267710,plain,
( iLess0(sz00,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267521,c_173]) ).
tcf(c_267711,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_267521,c_193]) ).
tcf(c_267712,plain,
iLess0(sz00,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_267710,c_251876,c_151,c_251871]) ).
tcf(c_267713,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267711,c_151,c_251871]) ).
tcf(c_267717,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_267709,c_151,c_251871]) ).
tcf(c_267718,plain,
~ sdtlseqdt0(sdtpldt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_267708,c_251876,c_151,c_251871]) ).
tcf(c_267721,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_65]) ).
tcf(c_267722,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_63]) ).
tcf(c_267723,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_67]) ).
tcf(c_267730,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xp,sz00)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_65]) ).
tcf(c_267731,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_63]) ).
tcf(c_267732,plain,
( sP0(sz00)
| doDivides0(sz00,xp)
| sP1(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_251986,c_67]) ).
tcf(c_267733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251986,c_162]) ).
tcf(c_267735,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251986,c_157]) ).
tcf(c_267736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251986,c_160]) ).
tcf(c_267737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_251986,c_160]) ).
tcf(c_267738,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251986,c_167]) ).
tcf(c_267739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_251986,c_162]) ).
tcf(c_267740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_251986,c_166]) ).
tcf(c_267741,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267735,c_151,c_251871]) ).
tcf(c_267745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267740,c_151,c_251871]) ).
tcf(c_267749,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267738,c_151,c_251871]) ).
tcf(c_267753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267737,c_151,c_251871]) ).
tcf(c_267758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267736,c_151,c_251871]) ).
tcf(c_267763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267739,c_151,c_251871]) ).
tcf(c_267768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267733,c_151,c_251871]) ).
tcf(c_267773,plain,
( sP0(sz00)
| doDivides0(sz00,xp)
| sP1(xm,sz00)
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267732,c_151,c_51,c_50]) ).
tcf(c_267779,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xp,sz00))
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267731,c_151,c_51,c_50]) ).
tcf(c_267785,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xp,sz00)) = xp )
| ~ doDivides0(sz00,sdtasdt0(xp,xm))
| ~ iLess0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267730,c_151,c_51,c_50]) ).
tcf(c_267791,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_267723,c_251988]) ).
tcf(c_267792,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267791,c_151,c_251871]) ).
tcf(c_267799,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_267722,c_251988]) ).
tcf(c_267800,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xp,xm),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267799,c_151,c_251871]) ).
tcf(c_267807,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_267721,c_251988]) ).
tcf(c_267808,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xp,xm),X0)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267807,c_151,c_251871]) ).
tcf(c_267874,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_64]) ).
tcf(c_267875,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_62]) ).
tcf(c_267876,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_66]) ).
tcf(c_267882,plain,
( doDivides0(sz10,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252150,c_272]) ).
tcf(c_267884,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_64]) ).
tcf(c_267885,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_62]) ).
tcf(c_267886,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_66]) ).
tcf(c_267887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252150,c_141]) ).
tcf(c_267888,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252150,c_137]) ).
tcf(c_267889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252150,c_141]) ).
tcf(c_267890,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_145]) ).
tcf(c_267891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(superposition,[status(thm)],[c_252150,c_139]) ).
tcf(c_267892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252150,c_139]) ).
tcf(c_267893,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(X0,sdtpldt0(xm,sK8)) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252150,c_146]) ).
tcf(c_267894,plain,
doDivides0(sz10,sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_267882,c_155,c_252057]) ).
tcf(c_267895,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267888,c_155,c_252057]) ).
tcf(c_267898,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267890,c_156,c_155,c_252057]) ).
tcf(c_267902,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK8)) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267893,c_155,c_252057]) ).
tcf(c_267907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267892,c_156,c_155,c_252057]) ).
tcf(c_267912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267891,c_156,c_155,c_252057]) ).
tcf(c_267917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267889,c_155,c_252057]) ).
tcf(c_267923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267887,c_155,c_252057]) ).
tcf(c_267929,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267886,c_155,c_252057]) ).
tcf(c_267937,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267885,c_155,c_252057]) ).
tcf(c_267945,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267876,c_155,c_252057]) ).
tcf(c_267953,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267884,c_155,c_252057]) ).
tcf(c_267961,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267875,c_155,c_252057]) ).
tcf(c_267969,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK8)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267874,c_155,c_252057]) ).
tcf(c_268129,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_267894,c_196]) ).
tcf(c_268130,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK8),sz10)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_267894,c_199]) ).
tcf(c_268132,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(sdtpldt0(xm,sK8),X0) ),
inference(superposition,[status(thm)],[c_267894,c_180]) ).
tcf(c_268133,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_267894,c_176]) ).
tcf(c_268136,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_268133,c_155,c_252057]) ).
tcf(c_268137,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268132,c_155,c_252057]) ).
tcf(c_268141,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK8),sz10)) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_268130,c_156,c_155,c_252057]) ).
tcf(c_268142,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268129,c_156,c_155,c_252057]) ).
tcf(c_268145,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_64]) ).
tcf(c_268146,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_62]) ).
tcf(c_268147,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_66]) ).
tcf(c_268153,plain,
( doDivides0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252151,c_272]) ).
tcf(c_268155,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),sK7(X0,sdtpldt0(xm,sK8))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_64]) ).
tcf(c_268156,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK8)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_62]) ).
tcf(c_268157,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| doDivides0(sdtpldt0(xm,sK8),X0)
| sP1(X1,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_66]) ).
tcf(c_268158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252151,c_141]) ).
tcf(c_268159,plain,
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252151,c_137]) ).
tcf(c_268160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(superposition,[status(thm)],[c_252151,c_141]) ).
tcf(c_268161,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),X0) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_145]) ).
tcf(c_268162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252151,c_139]) ).
tcf(c_268163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sdtpldt0(xm,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252151,c_139]) ).
tcf(c_268164,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252151,c_146]) ).
tcf(c_268165,plain,
doDivides0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_268153,c_155,c_252057]) ).
tcf(c_268166,plain,
sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_268159,c_156,c_155,c_252057]) ).
tcf(c_268167,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268164,c_156,c_155,c_252057]) ).
tcf(c_268171,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK8),X0) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268161,c_155,c_252057]) ).
tcf(c_268176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK8),X0),sdtpldt0(xm,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268163,c_155,c_252057]) ).
tcf(c_268182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268162,c_155,c_252057]) ).
tcf(c_268188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268160,c_156,c_155,c_252057]) ).
tcf(c_268193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268158,c_156,c_155,c_252057]) ).
tcf(c_268198,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268147,c_155,c_252057]) ).
tcf(c_268206,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268146,c_155,c_252057]) ).
tcf(c_268214,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| doDivides0(sdtpldt0(xm,sK8),X0)
| sP1(X1,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268157,c_155,c_252057]) ).
tcf(c_268222,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK8)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268156,c_155,c_252057]) ).
tcf(c_268230,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK8),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268145,c_155,c_252057]) ).
tcf(c_268238,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK8))
| sP1(X1,sdtpldt0(xm,sK8))
| ( sdtasdt0(sdtpldt0(xm,sK8),sK7(X0,sdtpldt0(xm,sK8))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK8)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268155,c_155,c_252057]) ).
tcf(c_268246,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268165,c_196]) ).
tcf(c_268247,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK8),sdtsldt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268165,c_199]) ).
tcf(c_268250,plain,
( ( sdtasdt0(sdtpldt0(xm,sK8),sK20(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268165,c_176]) ).
tcf(c_268252,plain,
( doDivides0(sdtpldt0(xm,sK8),sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(sdtpldt0(xm,sK8),xm) ),
inference(superposition,[status(thm)],[c_268165,c_157]) ).
tcf(c_268253,plain,
sdtasdt0(sdtpldt0(xm,sK8),sK20(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_268250,c_252057]) ).
tcf(c_268254,plain,
( doDivides0(sdtpldt0(xm,sK8),sK8)
| ~ doDivides0(sdtpldt0(xm,sK8),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268252,c_73,c_50,c_252057]) ).
tcf(c_268257,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK8),sdtsldt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268247,c_252057]) ).
tcf(c_268260,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268246,c_252057]) ).
tcf(c_268278,plain,
( ( sdtpldt0(sdtpldt0(xm,sK8),sK19(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268166,c_165]) ).
tcf(c_268281,plain,
sdtpldt0(sdtpldt0(xm,sK8),sK19(sdtpldt0(xm,sK8),sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_268278,c_252057]) ).
tcf(c_268294,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252152,c_65]) ).
tcf(c_268295,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252152,c_63]) ).
tcf(c_268296,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK8)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252152,c_67]) ).
tcf(c_268301,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252152,c_275]) ).
tcf(c_268303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252152,c_162]) ).
tcf(c_268306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(superposition,[status(thm)],[c_252152,c_160]) ).
tcf(c_268307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252152,c_160]) ).
tcf(c_268308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtpldt0(X0,sdtpldt0(xm,sK8)) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252152,c_167]) ).
tcf(c_268309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252152,c_162]) ).
tcf(c_268310,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252152,c_166]) ).
tcf(c_268311,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_268301,c_151,c_252057]) ).
tcf(c_268312,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268310,c_151,c_252057]) ).
tcf(c_268316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK8)) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268308,c_151,c_252057]) ).
tcf(c_268320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,sdtpldt0(xm,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268309,c_151,c_252057]) ).
tcf(c_268325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK8)),sdtpldt0(xm,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268303,c_151,c_252057]) ).
tcf(c_268330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268307,c_151,c_252057]) ).
tcf(c_268335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268306,c_151,c_252057]) ).
tcf(c_268341,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268295,c_252154]) ).
tcf(c_268342,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268341,c_151,c_252057]) ).
tcf(c_268349,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268294,c_252154]) ).
tcf(c_268350,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK8),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268349,c_151,c_252057]) ).
tcf(c_268429,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),sz00) ),
inference(superposition,[status(thm)],[c_268311,c_194]) ).
tcf(c_268430,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268311,c_165]) ).
tcf(c_268431,plain,
( iLess0(sz00,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268311,c_173]) ).
tcf(c_268432,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_268311,c_193]) ).
tcf(c_268433,plain,
( iLess0(sz00,sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268431,c_151,c_252057]) ).
tcf(c_268436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268432,c_151,c_252057]) ).
tcf(c_268440,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK8))) = sdtpldt0(xm,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_268430,c_151,c_252057]) ).
tcf(c_268441,plain,
( ( sdtpldt0(xm,sK8) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268429,c_151,c_252057]) ).
tcf(c_268447,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_65]) ).
tcf(c_268448,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_63]) ).
tcf(c_268449,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK8),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_67]) ).
tcf(c_268456,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_65]) ).
tcf(c_268457,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_63]) ).
tcf(c_268458,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK8,sz00)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252153,c_67]) ).
tcf(c_268459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252153,c_162]) ).
tcf(c_268461,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ doDivides0(X0,sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252153,c_157]) ).
tcf(c_268462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252153,c_160]) ).
tcf(c_268463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(xm,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8)) ),
inference(superposition,[status(thm)],[c_252153,c_160]) ).
tcf(c_268464,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252153,c_167]) ).
tcf(c_268465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(superposition,[status(thm)],[c_252153,c_162]) ).
tcf(c_268466,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ( sdtpldt0(sdtpldt0(xm,sK8),X0) != sdtpldt0(xm,sK8) ) ),
inference(superposition,[status(thm)],[c_252153,c_166]) ).
tcf(c_268467,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268461,c_151,c_252057]) ).
tcf(c_268471,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK8),X0) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268466,c_151,c_252057]) ).
tcf(c_268475,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268464,c_151,c_252057]) ).
tcf(c_268479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(xm,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268463,c_151,c_252057]) ).
tcf(c_268484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xm,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268462,c_151,c_252057]) ).
tcf(c_268489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268465,c_151,c_252057]) ).
tcf(c_268494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK8))
| ( sdtpldt0(xm,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268459,c_151,c_252057]) ).
tcf(c_268499,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK8,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268458,c_73,c_151,c_50]) ).
tcf(c_268505,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268457,c_73,c_151,c_50]) ).
tcf(c_268511,plain,
( sP0(sz00)
| sP1(sK8,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK8))
| ~ iLess0(sdtpldt0(xm,sK8),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268456,c_73,c_151,c_50]) ).
tcf(c_268517,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268449,c_252155]) ).
tcf(c_268518,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268517,c_151,c_252057]) ).
tcf(c_268525,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268448,c_252155]) ).
tcf(c_268526,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK8),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268525,c_151,c_252057]) ).
tcf(c_268533,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK8))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268447,c_252155]) ).
tcf(c_268534,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK8),X0)) = sdtpldt0(xm,sK8) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK8),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268533,c_151,c_252057]) ).
tcf(c_268567,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_64]) ).
tcf(c_268568,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_62]) ).
tcf(c_268569,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_66]) ).
tcf(c_268575,plain,
( doDivides0(sz10,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252412,c_272]) ).
tcf(c_268577,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_64]) ).
tcf(c_268578,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_62]) ).
tcf(c_268579,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_66]) ).
tcf(c_268580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252412,c_141]) ).
tcf(c_268581,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252412,c_137]) ).
tcf(c_268582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252412,c_141]) ).
tcf(c_268583,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_145]) ).
tcf(c_268584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(superposition,[status(thm)],[c_252412,c_139]) ).
tcf(c_268585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK9))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252412,c_139]) ).
tcf(c_268586,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(X0,sdtpldt0(xm,sK9)) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252412,c_146]) ).
tcf(c_268587,plain,
doDivides0(sz10,sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_268575,c_155,c_252262]) ).
tcf(c_268588,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268581,c_155,c_252262]) ).
tcf(c_268591,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268583,c_156,c_155,c_252262]) ).
tcf(c_268595,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK9)) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268586,c_155,c_252262]) ).
tcf(c_268600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268585,c_156,c_155,c_252262]) ).
tcf(c_268605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268584,c_156,c_155,c_252262]) ).
tcf(c_268610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268582,c_155,c_252262]) ).
tcf(c_268616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268580,c_155,c_252262]) ).
tcf(c_268622,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268579,c_155,c_252262]) ).
tcf(c_268630,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268578,c_155,c_252262]) ).
tcf(c_268638,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268569,c_155,c_252262]) ).
tcf(c_268646,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268577,c_155,c_252262]) ).
tcf(c_268654,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268568,c_155,c_252262]) ).
tcf(c_268662,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK9)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268567,c_155,c_252262]) ).
tcf(c_268686,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK9),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268587,c_196]) ).
tcf(c_268687,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK9),sz10)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268587,c_199]) ).
tcf(c_268689,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(sdtpldt0(xm,sK9),X0) ),
inference(superposition,[status(thm)],[c_268587,c_180]) ).
tcf(c_268690,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268587,c_176]) ).
tcf(c_268693,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_268690,c_155,c_252262]) ).
tcf(c_268694,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268689,c_155,c_252262]) ).
tcf(c_268698,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK9),sz10)) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_268687,c_156,c_155,c_252262]) ).
tcf(c_268699,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK9),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268686,c_156,c_155,c_252262]) ).
tcf(c_268708,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_64]) ).
tcf(c_268709,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_62]) ).
tcf(c_268710,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_66]) ).
tcf(c_268716,plain,
( doDivides0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252413,c_272]) ).
tcf(c_268718,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),sK7(X0,sdtpldt0(xm,sK9))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_64]) ).
tcf(c_268719,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK9)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_62]) ).
tcf(c_268720,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| doDivides0(sdtpldt0(xm,sK9),X0)
| sP1(X1,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_66]) ).
tcf(c_268721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK9))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252413,c_141]) ).
tcf(c_268722,plain,
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252413,c_137]) ).
tcf(c_268723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(superposition,[status(thm)],[c_252413,c_141]) ).
tcf(c_268724,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),X0) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_145]) ).
tcf(c_268725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252413,c_139]) ).
tcf(c_268726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sdtpldt0(xm,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252413,c_139]) ).
tcf(c_268727,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252413,c_146]) ).
tcf(c_268728,plain,
doDivides0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_268716,c_155,c_252262]) ).
tcf(c_268729,plain,
sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_268722,c_156,c_155,c_252262]) ).
tcf(c_268730,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268727,c_156,c_155,c_252262]) ).
tcf(c_268734,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK9),X0) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268724,c_155,c_252262]) ).
tcf(c_268739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK9),X0),sdtpldt0(xm,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268726,c_155,c_252262]) ).
tcf(c_268745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268725,c_155,c_252262]) ).
tcf(c_268751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268723,c_156,c_155,c_252262]) ).
tcf(c_268756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268721,c_156,c_155,c_252262]) ).
tcf(c_268761,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268710,c_155,c_252262]) ).
tcf(c_268769,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268709,c_155,c_252262]) ).
tcf(c_268777,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| doDivides0(sdtpldt0(xm,sK9),X0)
| sP1(X1,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268720,c_155,c_252262]) ).
tcf(c_268785,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK9)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268719,c_155,c_252262]) ).
tcf(c_268793,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK9),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268708,c_155,c_252262]) ).
tcf(c_268801,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK9))
| sP1(X1,sdtpldt0(xm,sK9))
| ( sdtasdt0(sdtpldt0(xm,sK9),sK7(X0,sdtpldt0(xm,sK9))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK9)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268718,c_155,c_252262]) ).
tcf(c_268847,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268728,c_196]) ).
tcf(c_268848,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK9),sdtsldt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268728,c_199]) ).
tcf(c_268851,plain,
( ( sdtasdt0(sdtpldt0(xm,sK9),sK20(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268728,c_176]) ).
tcf(c_268853,plain,
( doDivides0(sdtpldt0(xm,sK9),sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(sdtpldt0(xm,sK9),xm) ),
inference(superposition,[status(thm)],[c_268728,c_157]) ).
tcf(c_268854,plain,
sdtasdt0(sdtpldt0(xm,sK9),sK20(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_268851,c_252262]) ).
tcf(c_268855,plain,
( doDivides0(sdtpldt0(xm,sK9),sK9)
| ~ doDivides0(sdtpldt0(xm,sK9),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268853,c_81,c_50,c_252262]) ).
tcf(c_268858,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK9),sdtsldt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268848,c_252262]) ).
tcf(c_268861,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268847,c_252262]) ).
tcf(c_268990,plain,
( ( sdtpldt0(sdtpldt0(xm,sK9),sK19(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_268729,c_165]) ).
tcf(c_268993,plain,
sdtpldt0(sdtpldt0(xm,sK9),sK19(sdtpldt0(xm,sK9),sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_268990,c_252262]) ).
tcf(c_268994,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK9)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252414,c_65]) ).
tcf(c_268995,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK9)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252414,c_63]) ).
tcf(c_268996,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK9)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252414,c_67]) ).
tcf(c_269001,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252414,c_275]) ).
tcf(c_269003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252414,c_162]) ).
tcf(c_269006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(superposition,[status(thm)],[c_252414,c_160]) ).
tcf(c_269007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252414,c_160]) ).
tcf(c_269008,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtpldt0(X0,sdtpldt0(xm,sK9)) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252414,c_167]) ).
tcf(c_269009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252414,c_162]) ).
tcf(c_269010,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252414,c_166]) ).
tcf(c_269011,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_269001,c_151,c_252262]) ).
tcf(c_269012,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269010,c_151,c_252262]) ).
tcf(c_269016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK9)) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269008,c_151,c_252262]) ).
tcf(c_269020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,sdtpldt0(xm,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269009,c_151,c_252262]) ).
tcf(c_269025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK9)),sdtpldt0(xm,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269003,c_151,c_252262]) ).
tcf(c_269030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269007,c_151,c_252262]) ).
tcf(c_269035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269006,c_151,c_252262]) ).
tcf(c_269041,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268995,c_252416]) ).
tcf(c_269042,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269041,c_151,c_252262]) ).
tcf(c_269049,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_268994,c_252416]) ).
tcf(c_269050,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK9),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269049,c_151,c_252262]) ).
tcf(c_269096,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),sz00) ),
inference(superposition,[status(thm)],[c_269011,c_194]) ).
tcf(c_269097,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_269011,c_165]) ).
tcf(c_269098,plain,
( iLess0(sz00,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_269011,c_173]) ).
tcf(c_269099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_269011,c_193]) ).
tcf(c_269100,plain,
( iLess0(sz00,sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269098,c_151,c_252262]) ).
tcf(c_269103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269099,c_151,c_252262]) ).
tcf(c_269107,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK9))) = sdtpldt0(xm,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_269097,c_151,c_252262]) ).
tcf(c_269108,plain,
( ( sdtpldt0(xm,sK9) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269096,c_151,c_252262]) ).
tcf(c_269114,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK9),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_65]) ).
tcf(c_269115,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK9),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_63]) ).
tcf(c_269116,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK9),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_67]) ).
tcf(c_269123,plain,
( sP0(sz00)
| sP1(sK9,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_65]) ).
tcf(c_269124,plain,
( sP0(sz00)
| sP1(sK9,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_63]) ).
tcf(c_269125,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK9,sz00)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252415,c_67]) ).
tcf(c_269126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252415,c_162]) ).
tcf(c_269128,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ doDivides0(X0,sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252415,c_157]) ).
tcf(c_269129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252415,c_160]) ).
tcf(c_269130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(xm,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9)) ),
inference(superposition,[status(thm)],[c_252415,c_160]) ).
tcf(c_269131,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252415,c_167]) ).
tcf(c_269132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(superposition,[status(thm)],[c_252415,c_162]) ).
tcf(c_269133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ( sdtpldt0(sdtpldt0(xm,sK9),X0) != sdtpldt0(xm,sK9) ) ),
inference(superposition,[status(thm)],[c_252415,c_166]) ).
tcf(c_269134,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269128,c_151,c_252262]) ).
tcf(c_269138,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK9),X0) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269133,c_151,c_252262]) ).
tcf(c_269142,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269131,c_151,c_252262]) ).
tcf(c_269146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(xm,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269130,c_151,c_252262]) ).
tcf(c_269151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xm,sK9),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269129,c_151,c_252262]) ).
tcf(c_269156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK9),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269132,c_151,c_252262]) ).
tcf(c_269161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK9))
| ( sdtpldt0(xm,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269126,c_151,c_252262]) ).
tcf(c_269166,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK9,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269125,c_81,c_151,c_50]) ).
tcf(c_269172,plain,
( sP0(sz00)
| sP1(sK9,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269124,c_81,c_151,c_50]) ).
tcf(c_269178,plain,
( sP0(sz00)
| sP1(sK9,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK9))
| ~ iLess0(sdtpldt0(xm,sK9),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269123,c_81,c_151,c_50]) ).
tcf(c_269184,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269116,c_252417]) ).
tcf(c_269185,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269184,c_151,c_252262]) ).
tcf(c_269192,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269115,c_252417]) ).
tcf(c_269193,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK9),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269192,c_151,c_252262]) ).
tcf(c_269200,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK9))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269114,c_252417]) ).
tcf(c_269201,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK9),X0)) = sdtpldt0(xm,sK9) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269200,c_151,c_252262]) ).
tcf(c_269270,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_64]) ).
tcf(c_269271,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_62]) ).
tcf(c_269272,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_66]) ).
tcf(c_269278,plain,
( doDivides0(sz10,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252767,c_272]) ).
tcf(c_269280,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_64]) ).
tcf(c_269281,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_62]) ).
tcf(c_269282,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_66]) ).
tcf(c_269283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252767,c_141]) ).
tcf(c_269284,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252767,c_137]) ).
tcf(c_269285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252767,c_141]) ).
tcf(c_269286,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_145]) ).
tcf(c_269287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(superposition,[status(thm)],[c_252767,c_139]) ).
tcf(c_269288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252767,c_139]) ).
tcf(c_269289,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(X0,sdtpldt0(xm,xk)) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252767,c_146]) ).
tcf(c_269290,plain,
doDivides0(sz10,sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269278,c_155,c_252667]) ).
tcf(c_269291,plain,
sdtlseqdt0(sz10,sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269284,c_252669,c_155,c_252667]) ).
tcf(c_269292,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269286,c_156,c_155,c_252667]) ).
tcf(c_269296,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xk)) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269289,c_252669,c_155,c_252667]) ).
tcf(c_269300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269288,c_156,c_155,c_252667]) ).
tcf(c_269305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269287,c_156,c_155,c_252667]) ).
tcf(c_269310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269285,c_252669,c_155,c_252667]) ).
tcf(c_269315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269283,c_252669,c_155,c_252667]) ).
tcf(c_269320,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269282,c_155,c_252667]) ).
tcf(c_269328,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269281,c_155,c_252667]) ).
tcf(c_269336,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269272,c_155,c_252667]) ).
tcf(c_269344,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269280,c_155,c_252667]) ).
tcf(c_269352,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269271,c_155,c_252667]) ).
tcf(c_269360,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,xk)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269270,c_155,c_252667]) ).
tcf(c_269445,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269290,c_196]) ).
tcf(c_269446,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,xk),sz10)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269290,c_199]) ).
tcf(c_269448,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(sdtpldt0(xm,xk),X0) ),
inference(superposition,[status(thm)],[c_269290,c_180]) ).
tcf(c_269449,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269290,c_176]) ).
tcf(c_269452,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269449,c_155,c_252667]) ).
tcf(c_269453,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269448,c_155,c_252667]) ).
tcf(c_269457,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,xk),sz10)) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269446,c_156,c_155,c_252667]) ).
tcf(c_269458,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269445,c_156,c_155,c_252667]) ).
tcf(c_269465,plain,
( ( sdtpldt0(xm,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),sz10) ),
inference(superposition,[status(thm)],[c_269291,c_194]) ).
tcf(c_269466,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269291,c_165]) ).
tcf(c_269467,plain,
( iLess0(sz10,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269291,c_173]) ).
tcf(c_269468,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269291,c_193]) ).
tcf(c_269469,plain,
( iLess0(sz10,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269467,c_155,c_252667]) ).
tcf(c_269472,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269468,c_155,c_252667]) ).
tcf(c_269476,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269466,c_155,c_252667]) ).
tcf(c_269477,plain,
( ( sdtpldt0(xm,xk) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xm,xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269465,c_155,c_252667]) ).
tcf(c_269484,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_64]) ).
tcf(c_269485,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_62]) ).
tcf(c_269486,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_66]) ).
tcf(c_269492,plain,
( doDivides0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252768,c_272]) ).
tcf(c_269494,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),sK7(X0,sdtpldt0(xm,xk))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_64]) ).
tcf(c_269495,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,xk)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_62]) ).
tcf(c_269496,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| doDivides0(sdtpldt0(xm,xk),X0)
| sP1(X1,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_66]) ).
tcf(c_269497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252768,c_141]) ).
tcf(c_269498,plain,
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252768,c_137]) ).
tcf(c_269499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(superposition,[status(thm)],[c_252768,c_141]) ).
tcf(c_269500,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),X0) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_145]) ).
tcf(c_269501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252768,c_139]) ).
tcf(c_269502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xk),X0),sdtpldt0(xm,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252768,c_139]) ).
tcf(c_269503,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252768,c_146]) ).
tcf(c_269504,plain,
doDivides0(sdtpldt0(xm,xk),sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269492,c_155,c_252667]) ).
tcf(c_269505,plain,
sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269498,c_156,c_155,c_252667]) ).
tcf(c_269506,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269503,c_156,c_155,c_252667]) ).
tcf(c_269510,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xk),X0) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269500,c_252669,c_155,c_252667]) ).
tcf(c_269514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xk),X0),sdtpldt0(xm,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269502,c_252669,c_155,c_252667]) ).
tcf(c_269519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269501,c_252669,c_155,c_252667]) ).
tcf(c_269524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269499,c_156,c_155,c_252667]) ).
tcf(c_269529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269497,c_156,c_155,c_252667]) ).
tcf(c_269534,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269486,c_155,c_252667]) ).
tcf(c_269542,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269485,c_155,c_252667]) ).
tcf(c_269550,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| doDivides0(sdtpldt0(xm,xk),X0)
| sP1(X1,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269496,c_155,c_252667]) ).
tcf(c_269558,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,xk)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269495,c_155,c_252667]) ).
tcf(c_269566,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,xk),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269484,c_155,c_252667]) ).
tcf(c_269574,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,xk))
| sP1(X1,sdtpldt0(xm,xk))
| ( sdtasdt0(sdtpldt0(xm,xk),sK7(X0,sdtpldt0(xm,xk))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xk)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269494,c_155,c_252667]) ).
tcf(c_269619,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269504,c_196]) ).
tcf(c_269620,plain,
( ( sdtpldt0(xm,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xk),sdtsldt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269504,c_199]) ).
tcf(c_269623,plain,
( ( sdtasdt0(sdtpldt0(xm,xk),sK20(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269504,c_176]) ).
tcf(c_269625,plain,
( doDivides0(sdtpldt0(xm,xk),xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(sdtpldt0(xm,xk),xm) ),
inference(superposition,[status(thm)],[c_269504,c_157]) ).
tcf(c_269626,plain,
sdtasdt0(sdtpldt0(xm,xk),sK20(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269623,c_252667]) ).
tcf(c_269627,plain,
( doDivides0(sdtpldt0(xm,xk),xk)
| ~ doDivides0(sdtpldt0(xm,xk),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269625,c_88,c_50,c_252667]) ).
tcf(c_269630,plain,
sdtasdt0(sdtpldt0(xm,xk),sdtsldt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269620,c_252669,c_252667]) ).
tcf(c_269631,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269619,c_252669,c_252667]) ).
tcf(c_269635,plain,
( ( sdtpldt0(sdtpldt0(xm,xk),sK19(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269505,c_165]) ).
tcf(c_269638,plain,
sdtpldt0(sdtpldt0(xm,xk),sK19(sdtpldt0(xm,xk),sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269635,c_252667]) ).
tcf(c_269639,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252769,c_65]) ).
tcf(c_269640,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252769,c_63]) ).
tcf(c_269641,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,xk)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252769,c_67]) ).
tcf(c_269646,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252769,c_275]) ).
tcf(c_269648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252769,c_162]) ).
tcf(c_269651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(superposition,[status(thm)],[c_252769,c_160]) ).
tcf(c_269652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252769,c_160]) ).
tcf(c_269653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtpldt0(X0,sdtpldt0(xm,xk)) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252769,c_167]) ).
tcf(c_269654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252769,c_162]) ).
tcf(c_269655,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252769,c_166]) ).
tcf(c_269656,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269646,c_151,c_252667]) ).
tcf(c_269657,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269655,c_151,c_252667]) ).
tcf(c_269661,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xk)) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269653,c_151,c_252667]) ).
tcf(c_269665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,sdtpldt0(xm,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269654,c_151,c_252667]) ).
tcf(c_269670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xk)),sdtpldt0(xm,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269648,c_151,c_252667]) ).
tcf(c_269675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269652,c_151,c_252667]) ).
tcf(c_269680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269651,c_151,c_252667]) ).
tcf(c_269686,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269640,c_252771]) ).
tcf(c_269687,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269686,c_151,c_252667]) ).
tcf(c_269694,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269639,c_252771]) ).
tcf(c_269695,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,xk),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269694,c_151,c_252667]) ).
tcf(c_269754,plain,
( ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),sz00) ),
inference(superposition,[status(thm)],[c_269656,c_194]) ).
tcf(c_269755,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269656,c_165]) ).
tcf(c_269756,plain,
( iLess0(sz00,sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269656,c_173]) ).
tcf(c_269757,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_269656,c_193]) ).
tcf(c_269758,plain,
iLess0(sz00,sdtpldt0(xm,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_269756,c_252669,c_151,c_252667]) ).
tcf(c_269759,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269757,c_151,c_252667]) ).
tcf(c_269763,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,xk))) = sdtpldt0(xm,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_269755,c_151,c_252667]) ).
tcf(c_269764,plain,
~ sdtlseqdt0(sdtpldt0(xm,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_269754,c_252669,c_151,c_252667]) ).
tcf(c_269800,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_65]) ).
tcf(c_269801,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_63]) ).
tcf(c_269802,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,xk),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_67]) ).
tcf(c_269809,plain,
( sP0(sz00)
| sP1(xk,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_65]) ).
tcf(c_269810,plain,
( sP0(sz00)
| sP1(xk,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_63]) ).
tcf(c_269811,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(xk,sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252770,c_67]) ).
tcf(c_269812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252770,c_162]) ).
tcf(c_269814,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ doDivides0(X0,sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252770,c_157]) ).
tcf(c_269815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252770,c_160]) ).
tcf(c_269816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(xm,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk)) ),
inference(superposition,[status(thm)],[c_252770,c_160]) ).
tcf(c_269817,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252770,c_167]) ).
tcf(c_269818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(superposition,[status(thm)],[c_252770,c_162]) ).
tcf(c_269819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ( sdtpldt0(sdtpldt0(xm,xk),X0) != sdtpldt0(xm,xk) ) ),
inference(superposition,[status(thm)],[c_252770,c_166]) ).
tcf(c_269820,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269814,c_151,c_252667]) ).
tcf(c_269824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xk),X0) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269819,c_151,c_252667]) ).
tcf(c_269828,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269817,c_151,c_252667]) ).
tcf(c_269832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(xm,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269816,c_151,c_252667]) ).
tcf(c_269837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xm,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269815,c_151,c_252667]) ).
tcf(c_269842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269818,c_151,c_252667]) ).
tcf(c_269847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xk))
| ( sdtpldt0(xm,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269812,c_151,c_252667]) ).
tcf(c_269852,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(xk,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269811,c_88,c_151,c_50]) ).
tcf(c_269858,plain,
( sP0(sz00)
| sP1(xk,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269810,c_88,c_151,c_50]) ).
tcf(c_269864,plain,
( sP0(sz00)
| sP1(xk,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,xk))
| ~ iLess0(sdtpldt0(xm,xk),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269809,c_88,c_151,c_50]) ).
tcf(c_269870,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269802,c_252772]) ).
tcf(c_269871,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269870,c_151,c_252667]) ).
tcf(c_269878,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269801,c_252772]) ).
tcf(c_269879,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,xk),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269878,c_151,c_252667]) ).
tcf(c_269886,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xk))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_269800,c_252772]) ).
tcf(c_269887,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,xk),X0)) = sdtpldt0(xm,xk) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xk),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269886,c_151,c_252667]) ).
tcf(c_269926,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_64]) ).
tcf(c_269927,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_62]) ).
tcf(c_269928,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_66]) ).
tcf(c_269934,plain,
( doDivides0(sz10,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252945,c_272]) ).
tcf(c_269936,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_64]) ).
tcf(c_269937,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_62]) ).
tcf(c_269938,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_66]) ).
tcf(c_269939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252945,c_141]) ).
tcf(c_269940,plain,
( sdtlseqdt0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252945,c_137]) ).
tcf(c_269941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252945,c_141]) ).
tcf(c_269942,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_145]) ).
tcf(c_269943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_252945,c_139]) ).
tcf(c_269944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252945,c_139]) ).
tcf(c_269945,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252945,c_146]) ).
tcf(c_269946,plain,
doDivides0(sz10,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_269934,c_155,c_252835]) ).
tcf(c_269947,plain,
sdtlseqdt0(sz10,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_269940,c_252840,c_155,c_252835]) ).
tcf(c_269948,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269942,c_156,c_155,c_252835]) ).
tcf(c_269952,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269945,c_252840,c_155,c_252835]) ).
tcf(c_269956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269944,c_156,c_155,c_252835]) ).
tcf(c_269961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269943,c_156,c_155,c_252835]) ).
tcf(c_269966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269941,c_252840,c_155,c_252835]) ).
tcf(c_269971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269939,c_252840,c_155,c_252835]) ).
tcf(c_269976,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269938,c_155,c_252835]) ).
tcf(c_269984,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269937,c_155,c_252835]) ).
tcf(c_269992,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269928,c_155,c_252835]) ).
tcf(c_270000,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269936,c_155,c_252835]) ).
tcf(c_270008,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269927,c_155,c_252835]) ).
tcf(c_270016,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xr,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269926,c_155,c_252835]) ).
tcf(c_270184,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269946,c_196]) ).
tcf(c_270185,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269946,c_199]) ).
tcf(c_270187,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_269946,c_180]) ).
tcf(c_270188,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269946,c_176]) ).
tcf(c_270191,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270188,c_155,c_252835]) ).
tcf(c_270192,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270187,c_155,c_252835]) ).
tcf(c_270196,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270185,c_156,c_155,c_252835]) ).
tcf(c_270197,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270184,c_156,c_155,c_252835]) ).
tcf(c_270211,plain,
( ( sdtpldt0(xr,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz10) ),
inference(superposition,[status(thm)],[c_269947,c_194]) ).
tcf(c_270212,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269947,c_165]) ).
tcf(c_270213,plain,
( iLess0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269947,c_173]) ).
tcf(c_270214,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_269947,c_193]) ).
tcf(c_270215,plain,
( iLess0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270213,c_155,c_252835]) ).
tcf(c_270218,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270214,c_155,c_252835]) ).
tcf(c_270222,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270212,c_155,c_252835]) ).
tcf(c_270223,plain,
( ( sdtpldt0(xr,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270211,c_155,c_252835]) ).
tcf(c_270226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_64]) ).
tcf(c_270227,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_62]) ).
tcf(c_270228,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_66]) ).
tcf(c_270234,plain,
( doDivides0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252946,c_272]) ).
tcf(c_270236,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),sK7(X0,sdtpldt0(xr,xm))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_64]) ).
tcf(c_270237,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xr,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_62]) ).
tcf(c_270238,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| doDivides0(sdtpldt0(xr,xm),X0)
| sP1(X1,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_66]) ).
tcf(c_270239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252946,c_141]) ).
tcf(c_270240,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252946,c_137]) ).
tcf(c_270241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_252946,c_141]) ).
tcf(c_270242,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_145]) ).
tcf(c_270243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252946,c_139]) ).
tcf(c_270244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252946,c_139]) ).
tcf(c_270245,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252946,c_146]) ).
tcf(c_270246,plain,
doDivides0(sdtpldt0(xr,xm),sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_270234,c_155,c_252835]) ).
tcf(c_270247,plain,
sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_270240,c_156,c_155,c_252835]) ).
tcf(c_270248,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270245,c_156,c_155,c_252835]) ).
tcf(c_270252,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270242,c_252840,c_155,c_252835]) ).
tcf(c_270256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270244,c_252840,c_155,c_252835]) ).
tcf(c_270261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270243,c_252840,c_155,c_252835]) ).
tcf(c_270266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270241,c_156,c_155,c_252835]) ).
tcf(c_270271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270239,c_156,c_155,c_252835]) ).
tcf(c_270276,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270228,c_155,c_252835]) ).
tcf(c_270284,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270227,c_155,c_252835]) ).
tcf(c_270292,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| doDivides0(sdtpldt0(xr,xm),X0)
| sP1(X1,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270238,c_155,c_252835]) ).
tcf(c_270300,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(xr,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270237,c_155,c_252835]) ).
tcf(c_270308,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270226,c_155,c_252835]) ).
tcf(c_270316,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xr,xm))
| sP1(X1,sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),sK7(X0,sdtpldt0(xr,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xr,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270236,c_155,c_252835]) ).
tcf(c_270395,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270246,c_196]) ).
tcf(c_270396,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270246,c_199]) ).
tcf(c_270399,plain,
( ( sdtasdt0(sdtpldt0(xr,xm),sK20(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270246,c_176]) ).
tcf(c_270401,plain,
( doDivides0(sdtpldt0(xr,xm),xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(sdtpldt0(xr,xm),xr) ),
inference(superposition,[status(thm)],[c_270246,c_157]) ).
tcf(c_270402,plain,
sdtasdt0(sdtpldt0(xr,xm),sK20(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270399,c_252835]) ).
tcf(c_270403,plain,
( doDivides0(sdtpldt0(xr,xm),xm)
| ~ doDivides0(sdtpldt0(xr,xm),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270401,c_95,c_50,c_252835]) ).
tcf(c_270406,plain,
sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270396,c_252840,c_252835]) ).
tcf(c_270407,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270395,c_252840,c_252835]) ).
tcf(c_270422,plain,
( ( sdtpldt0(sdtpldt0(xr,xm),sK19(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270247,c_165]) ).
tcf(c_270425,plain,
sdtpldt0(sdtpldt0(xr,xm),sK19(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270422,c_252835]) ).
tcf(c_270426,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xr,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252947,c_65]) ).
tcf(c_270427,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xr,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252947,c_63]) ).
tcf(c_270428,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xr,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252947,c_67]) ).
tcf(c_270433,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252947,c_275]) ).
tcf(c_270435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252947,c_162]) ).
tcf(c_270438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_252947,c_160]) ).
tcf(c_270439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252947,c_160]) ).
tcf(c_270440,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252947,c_167]) ).
tcf(c_270441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252947,c_162]) ).
tcf(c_270442,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252947,c_166]) ).
tcf(c_270443,plain,
sdtlseqdt0(sz00,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_270433,c_151,c_252835]) ).
tcf(c_270444,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270442,c_151,c_252835]) ).
tcf(c_270448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270440,c_151,c_252835]) ).
tcf(c_270452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270441,c_151,c_252835]) ).
tcf(c_270457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270435,c_151,c_252835]) ).
tcf(c_270462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270439,c_151,c_252835]) ).
tcf(c_270467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270438,c_151,c_252835]) ).
tcf(c_270473,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_270427,c_252949]) ).
tcf(c_270474,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xr,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270473,c_151,c_252835]) ).
tcf(c_270481,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_270426,c_252949]) ).
tcf(c_270482,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xr,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270481,c_151,c_252835]) ).
tcf(c_270513,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz00) ),
inference(superposition,[status(thm)],[c_270443,c_194]) ).
tcf(c_270514,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270443,c_165]) ).
tcf(c_270515,plain,
( iLess0(sz00,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270443,c_173]) ).
tcf(c_270516,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_270443,c_193]) ).
tcf(c_270517,plain,
iLess0(sz00,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_270515,c_252840,c_151,c_252835]) ).
tcf(c_270518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270516,c_151,c_252835]) ).
tcf(c_270522,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_270514,c_151,c_252835]) ).
tcf(c_270523,plain,
~ sdtlseqdt0(sdtpldt0(xr,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_270513,c_252840,c_151,c_252835]) ).
tcf(c_270611,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xr,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_65]) ).
tcf(c_270612,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xr,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_63]) ).
tcf(c_270613,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xr,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_67]) ).
tcf(c_270620,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xr,sz00)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_65]) ).
tcf(c_270621,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xr,sz00))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_63]) ).
tcf(c_270622,plain,
( sP0(sz00)
| doDivides0(sz00,xr)
| sP1(xm,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_252948,c_67]) ).
tcf(c_270623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252948,c_162]) ).
tcf(c_270625,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252948,c_157]) ).
tcf(c_270626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252948,c_160]) ).
tcf(c_270627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_252948,c_160]) ).
tcf(c_270628,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252948,c_167]) ).
tcf(c_270629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_252948,c_162]) ).
tcf(c_270630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_252948,c_166]) ).
tcf(c_270631,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270625,c_151,c_252835]) ).
tcf(c_270635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270630,c_151,c_252835]) ).
tcf(c_270639,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270628,c_151,c_252835]) ).
tcf(c_270643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270627,c_151,c_252835]) ).
tcf(c_270648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270626,c_151,c_252835]) ).
tcf(c_270653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270629,c_151,c_252835]) ).
tcf(c_270658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270623,c_151,c_252835]) ).
tcf(c_270663,plain,
( sP0(sz00)
| doDivides0(sz00,xr)
| sP1(xm,sz00)
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270622,c_95,c_151,c_50]) ).
tcf(c_270669,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(xr,sz00))
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270621,c_95,c_151,c_50]) ).
tcf(c_270675,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(xr,sz00)) = xr )
| ~ doDivides0(sz00,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270620,c_95,c_151,c_50]) ).
tcf(c_270681,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_270613,c_252950]) ).
tcf(c_270682,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270681,c_151,c_252835]) ).
tcf(c_270689,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_270612,c_252950]) ).
tcf(c_270690,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xr,xm),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270689,c_151,c_252835]) ).
tcf(c_270697,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_270611,c_252950]) ).
tcf(c_270698,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xr,xm),X0)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270697,c_151,c_252835]) ).
tcf(c_271130,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_64]) ).
tcf(c_271131,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_62]) ).
tcf(c_271132,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_66]) ).
tcf(c_271138,plain,
( doDivides0(sz10,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253164,c_272]) ).
tcf(c_271140,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_64]) ).
tcf(c_271141,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_62]) ).
tcf(c_271142,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_66]) ).
tcf(c_271143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253164,c_141]) ).
tcf(c_271144,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253164,c_137]) ).
tcf(c_271145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253164,c_141]) ).
tcf(c_271146,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_145]) ).
tcf(c_271147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(superposition,[status(thm)],[c_253164,c_139]) ).
tcf(c_271148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253164,c_139]) ).
tcf(c_271149,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(X0,sdtpldt0(xm,sK11)) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253164,c_146]) ).
tcf(c_271150,plain,
doDivides0(sz10,sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_271138,c_155,c_253045]) ).
tcf(c_271151,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271144,c_155,c_253045]) ).
tcf(c_271154,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271146,c_156,c_155,c_253045]) ).
tcf(c_271158,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK11)) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271149,c_155,c_253045]) ).
tcf(c_271163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271148,c_156,c_155,c_253045]) ).
tcf(c_271168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271147,c_156,c_155,c_253045]) ).
tcf(c_271173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271145,c_155,c_253045]) ).
tcf(c_271179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271143,c_155,c_253045]) ).
tcf(c_271185,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271142,c_155,c_253045]) ).
tcf(c_271193,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271141,c_155,c_253045]) ).
tcf(c_271201,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271132,c_155,c_253045]) ).
tcf(c_271209,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271140,c_155,c_253045]) ).
tcf(c_271217,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271131,c_155,c_253045]) ).
tcf(c_271225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK11)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271130,c_155,c_253045]) ).
tcf(c_271233,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271150,c_196]) ).
tcf(c_271234,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK11),sz10)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271150,c_199]) ).
tcf(c_271236,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(sdtpldt0(xm,sK11),X0) ),
inference(superposition,[status(thm)],[c_271150,c_180]) ).
tcf(c_271237,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271150,c_176]) ).
tcf(c_271240,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_271237,c_155,c_253045]) ).
tcf(c_271241,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271236,c_155,c_253045]) ).
tcf(c_271245,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK11),sz10)) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_271234,c_156,c_155,c_253045]) ).
tcf(c_271246,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271233,c_156,c_155,c_253045]) ).
tcf(c_271265,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_64]) ).
tcf(c_271266,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_62]) ).
tcf(c_271267,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_66]) ).
tcf(c_271273,plain,
( doDivides0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253165,c_272]) ).
tcf(c_271275,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),sK7(X0,sdtpldt0(xm,sK11))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_64]) ).
tcf(c_271276,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK11)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_62]) ).
tcf(c_271277,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| doDivides0(sdtpldt0(xm,sK11),X0)
| sP1(X1,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_66]) ).
tcf(c_271278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253165,c_141]) ).
tcf(c_271279,plain,
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253165,c_137]) ).
tcf(c_271280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(superposition,[status(thm)],[c_253165,c_141]) ).
tcf(c_271281,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),X0) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_145]) ).
tcf(c_271282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253165,c_139]) ).
tcf(c_271283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sdtpldt0(xm,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253165,c_139]) ).
tcf(c_271284,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253165,c_146]) ).
tcf(c_271285,plain,
doDivides0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_271273,c_155,c_253045]) ).
tcf(c_271286,plain,
sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_271279,c_156,c_155,c_253045]) ).
tcf(c_271287,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271284,c_156,c_155,c_253045]) ).
tcf(c_271291,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK11),X0) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271281,c_155,c_253045]) ).
tcf(c_271296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK11),X0),sdtpldt0(xm,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271283,c_155,c_253045]) ).
tcf(c_271302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271282,c_155,c_253045]) ).
tcf(c_271308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271280,c_156,c_155,c_253045]) ).
tcf(c_271313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271278,c_156,c_155,c_253045]) ).
tcf(c_271318,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271267,c_155,c_253045]) ).
tcf(c_271326,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271266,c_155,c_253045]) ).
tcf(c_271334,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| doDivides0(sdtpldt0(xm,sK11),X0)
| sP1(X1,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271277,c_155,c_253045]) ).
tcf(c_271342,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK11)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271276,c_155,c_253045]) ).
tcf(c_271350,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK11),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271265,c_155,c_253045]) ).
tcf(c_271358,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK11))
| sP1(X1,sdtpldt0(xm,sK11))
| ( sdtasdt0(sdtpldt0(xm,sK11),sK7(X0,sdtpldt0(xm,sK11))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK11)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271275,c_155,c_253045]) ).
tcf(c_271366,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271285,c_196]) ).
tcf(c_271367,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK11),sdtsldt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271285,c_199]) ).
tcf(c_271370,plain,
( ( sdtasdt0(sdtpldt0(xm,sK11),sK20(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271285,c_176]) ).
tcf(c_271372,plain,
( doDivides0(sdtpldt0(xm,sK11),sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(sdtpldt0(xm,sK11),xm) ),
inference(superposition,[status(thm)],[c_271285,c_157]) ).
tcf(c_271373,plain,
sdtasdt0(sdtpldt0(xm,sK11),sK20(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_271370,c_253045]) ).
tcf(c_271374,plain,
( doDivides0(sdtpldt0(xm,sK11),sK11)
| ~ doDivides0(sdtpldt0(xm,sK11),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271372,c_96,c_50,c_253045]) ).
tcf(c_271377,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK11),sdtsldt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271367,c_253045]) ).
tcf(c_271380,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271366,c_253045]) ).
tcf(c_271393,plain,
( ( sdtpldt0(sdtpldt0(xm,sK11),sK19(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271286,c_165]) ).
tcf(c_271396,plain,
sdtpldt0(sdtpldt0(xm,sK11),sK19(sdtpldt0(xm,sK11),sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_271393,c_253045]) ).
tcf(c_271397,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253166,c_65]) ).
tcf(c_271398,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253166,c_63]) ).
tcf(c_271399,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK11)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253166,c_67]) ).
tcf(c_271404,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253166,c_275]) ).
tcf(c_271406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253166,c_162]) ).
tcf(c_271409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(superposition,[status(thm)],[c_253166,c_160]) ).
tcf(c_271410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253166,c_160]) ).
tcf(c_271411,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtpldt0(X0,sdtpldt0(xm,sK11)) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253166,c_167]) ).
tcf(c_271412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253166,c_162]) ).
tcf(c_271413,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253166,c_166]) ).
tcf(c_271414,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_271404,c_151,c_253045]) ).
tcf(c_271415,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271413,c_151,c_253045]) ).
tcf(c_271419,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK11)) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271411,c_151,c_253045]) ).
tcf(c_271423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,sdtpldt0(xm,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271412,c_151,c_253045]) ).
tcf(c_271428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK11)),sdtpldt0(xm,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271406,c_151,c_253045]) ).
tcf(c_271433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271410,c_151,c_253045]) ).
tcf(c_271438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271409,c_151,c_253045]) ).
tcf(c_271444,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_271398,c_253168]) ).
tcf(c_271445,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271444,c_151,c_253045]) ).
tcf(c_271452,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_271397,c_253168]) ).
tcf(c_271453,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK11),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271452,c_151,c_253045]) ).
tcf(c_271658,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),sz00) ),
inference(superposition,[status(thm)],[c_271414,c_194]) ).
tcf(c_271659,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271414,c_165]) ).
tcf(c_271660,plain,
( iLess0(sz00,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271414,c_173]) ).
tcf(c_271661,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_271414,c_193]) ).
tcf(c_271662,plain,
( iLess0(sz00,sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271660,c_151,c_253045]) ).
tcf(c_271665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271661,c_151,c_253045]) ).
tcf(c_271669,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK11))) = sdtpldt0(xm,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_271659,c_151,c_253045]) ).
tcf(c_271670,plain,
( ( sdtpldt0(xm,sK11) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271658,c_151,c_253045]) ).
tcf(c_271673,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_65]) ).
tcf(c_271674,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_63]) ).
tcf(c_271675,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK11),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_67]) ).
tcf(c_271682,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_65]) ).
tcf(c_271683,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_63]) ).
tcf(c_271684,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK11,sz00)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253167,c_67]) ).
tcf(c_271685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253167,c_162]) ).
tcf(c_271687,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ doDivides0(X0,sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253167,c_157]) ).
tcf(c_271688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253167,c_160]) ).
tcf(c_271689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(xm,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11)) ),
inference(superposition,[status(thm)],[c_253167,c_160]) ).
tcf(c_271690,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253167,c_167]) ).
tcf(c_271691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(superposition,[status(thm)],[c_253167,c_162]) ).
tcf(c_271692,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ( sdtpldt0(sdtpldt0(xm,sK11),X0) != sdtpldt0(xm,sK11) ) ),
inference(superposition,[status(thm)],[c_253167,c_166]) ).
tcf(c_271693,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271687,c_151,c_253045]) ).
tcf(c_271697,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK11),X0) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271692,c_151,c_253045]) ).
tcf(c_271701,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271690,c_151,c_253045]) ).
tcf(c_271705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(xm,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271689,c_151,c_253045]) ).
tcf(c_271710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xm,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271688,c_151,c_253045]) ).
tcf(c_271715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271691,c_151,c_253045]) ).
tcf(c_271720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK11))
| ( sdtpldt0(xm,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271685,c_151,c_253045]) ).
tcf(c_271725,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK11,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271684,c_96,c_151,c_50]) ).
tcf(c_271731,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271683,c_96,c_151,c_50]) ).
tcf(c_271737,plain,
( sP0(sz00)
| sP1(sK11,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK11))
| ~ iLess0(sdtpldt0(xm,sK11),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271682,c_96,c_151,c_50]) ).
tcf(c_271743,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_271675,c_253169]) ).
tcf(c_271744,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271743,c_151,c_253045]) ).
tcf(c_271751,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_271674,c_253169]) ).
tcf(c_271752,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK11),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271751,c_151,c_253045]) ).
tcf(c_271759,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK11))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_271673,c_253169]) ).
tcf(c_271760,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK11),X0)) = sdtpldt0(xm,sK11) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK11),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271759,c_151,c_253045]) ).
tcf(c_271934,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_64]) ).
tcf(c_271935,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_62]) ).
tcf(c_271936,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_66]) ).
tcf(c_271942,plain,
( doDivides0(sz10,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253581,c_272]) ).
tcf(c_271944,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_64]) ).
tcf(c_271945,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_62]) ).
tcf(c_271946,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_66]) ).
tcf(c_271947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253581,c_141]) ).
tcf(c_271948,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253581,c_137]) ).
tcf(c_271949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253581,c_141]) ).
tcf(c_271950,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_145]) ).
tcf(c_271951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(superposition,[status(thm)],[c_253581,c_139]) ).
tcf(c_271952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253581,c_139]) ).
tcf(c_271953,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(X0,sdtpldt0(xm,sK12)) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253581,c_146]) ).
tcf(c_271954,plain,
doDivides0(sz10,sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_271942,c_155,c_253223]) ).
tcf(c_271955,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271948,c_155,c_253223]) ).
tcf(c_271958,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271950,c_156,c_155,c_253223]) ).
tcf(c_271962,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK12)) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271953,c_155,c_253223]) ).
tcf(c_271967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271952,c_156,c_155,c_253223]) ).
tcf(c_271972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271951,c_156,c_155,c_253223]) ).
tcf(c_271977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271949,c_155,c_253223]) ).
tcf(c_271983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271947,c_155,c_253223]) ).
tcf(c_271989,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271946,c_155,c_253223]) ).
tcf(c_271997,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271945,c_155,c_253223]) ).
tcf(c_272005,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271936,c_155,c_253223]) ).
tcf(c_272013,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271944,c_155,c_253223]) ).
tcf(c_272021,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271935,c_155,c_253223]) ).
tcf(c_272029,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK12)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271934,c_155,c_253223]) ).
tcf(c_272133,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_271954,c_196]) ).
tcf(c_272134,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK12),sz10)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_271954,c_199]) ).
tcf(c_272136,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(sdtpldt0(xm,sK12),X0) ),
inference(superposition,[status(thm)],[c_271954,c_180]) ).
tcf(c_272137,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_271954,c_176]) ).
tcf(c_272140,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_272137,c_155,c_253223]) ).
tcf(c_272141,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272136,c_155,c_253223]) ).
tcf(c_272145,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK12),sz10)) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_272134,c_156,c_155,c_253223]) ).
tcf(c_272146,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272133,c_156,c_155,c_253223]) ).
tcf(c_272149,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_64]) ).
tcf(c_272150,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_62]) ).
tcf(c_272151,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_66]) ).
tcf(c_272157,plain,
( doDivides0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253582,c_272]) ).
tcf(c_272159,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),sK7(X0,sdtpldt0(xm,sK12))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_64]) ).
tcf(c_272160,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK12)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_62]) ).
tcf(c_272161,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| doDivides0(sdtpldt0(xm,sK12),X0)
| sP1(X1,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_66]) ).
tcf(c_272162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253582,c_141]) ).
tcf(c_272163,plain,
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253582,c_137]) ).
tcf(c_272164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(superposition,[status(thm)],[c_253582,c_141]) ).
tcf(c_272165,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),X0) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_145]) ).
tcf(c_272166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253582,c_139]) ).
tcf(c_272167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sdtpldt0(xm,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253582,c_139]) ).
tcf(c_272168,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253582,c_146]) ).
tcf(c_272169,plain,
doDivides0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_272157,c_155,c_253223]) ).
tcf(c_272170,plain,
sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_272163,c_156,c_155,c_253223]) ).
tcf(c_272171,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272168,c_156,c_155,c_253223]) ).
tcf(c_272175,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK12),X0) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272165,c_155,c_253223]) ).
tcf(c_272180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK12),X0),sdtpldt0(xm,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272167,c_155,c_253223]) ).
tcf(c_272186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272166,c_155,c_253223]) ).
tcf(c_272192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272164,c_156,c_155,c_253223]) ).
tcf(c_272197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272162,c_156,c_155,c_253223]) ).
tcf(c_272202,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272151,c_155,c_253223]) ).
tcf(c_272210,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272150,c_155,c_253223]) ).
tcf(c_272218,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| doDivides0(sdtpldt0(xm,sK12),X0)
| sP1(X1,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272161,c_155,c_253223]) ).
tcf(c_272226,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK12)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272160,c_155,c_253223]) ).
tcf(c_272234,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK12),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272149,c_155,c_253223]) ).
tcf(c_272242,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK12))
| sP1(X1,sdtpldt0(xm,sK12))
| ( sdtasdt0(sdtpldt0(xm,sK12),sK7(X0,sdtpldt0(xm,sK12))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK12)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272159,c_155,c_253223]) ).
tcf(c_272314,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272169,c_196]) ).
tcf(c_272315,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK12),sdtsldt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272169,c_199]) ).
tcf(c_272318,plain,
( ( sdtasdt0(sdtpldt0(xm,sK12),sK20(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272169,c_176]) ).
tcf(c_272320,plain,
( doDivides0(sdtpldt0(xm,sK12),sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(sdtpldt0(xm,sK12),xm) ),
inference(superposition,[status(thm)],[c_272169,c_157]) ).
tcf(c_272321,plain,
sdtasdt0(sdtpldt0(xm,sK12),sK20(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_272318,c_253223]) ).
tcf(c_272322,plain,
( doDivides0(sdtpldt0(xm,sK12),sK12)
| ~ doDivides0(sdtpldt0(xm,sK12),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272320,c_104,c_50,c_253223]) ).
tcf(c_272325,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK12),sdtsldt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272315,c_253223]) ).
tcf(c_272328,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272314,c_253223]) ).
tcf(c_272333,plain,
( ( sdtpldt0(sdtpldt0(xm,sK12),sK19(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272170,c_165]) ).
tcf(c_272336,plain,
sdtpldt0(sdtpldt0(xm,sK12),sK19(sdtpldt0(xm,sK12),sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_272333,c_253223]) ).
tcf(c_272337,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253583,c_65]) ).
tcf(c_272338,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253583,c_63]) ).
tcf(c_272339,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK12)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253583,c_67]) ).
tcf(c_272344,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253583,c_275]) ).
tcf(c_272346,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253583,c_162]) ).
tcf(c_272349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(superposition,[status(thm)],[c_253583,c_160]) ).
tcf(c_272350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253583,c_160]) ).
tcf(c_272351,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtpldt0(X0,sdtpldt0(xm,sK12)) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253583,c_167]) ).
tcf(c_272352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253583,c_162]) ).
tcf(c_272353,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253583,c_166]) ).
tcf(c_272354,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_272344,c_151,c_253223]) ).
tcf(c_272355,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272353,c_151,c_253223]) ).
tcf(c_272359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK12)) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272351,c_151,c_253223]) ).
tcf(c_272363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,sdtpldt0(xm,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272352,c_151,c_253223]) ).
tcf(c_272368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK12)),sdtpldt0(xm,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272346,c_151,c_253223]) ).
tcf(c_272373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272350,c_151,c_253223]) ).
tcf(c_272378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272349,c_151,c_253223]) ).
tcf(c_272384,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_272338,c_253585]) ).
tcf(c_272385,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272384,c_151,c_253223]) ).
tcf(c_272392,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_272337,c_253585]) ).
tcf(c_272393,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK12),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272392,c_151,c_253223]) ).
tcf(c_272400,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),sz00) ),
inference(superposition,[status(thm)],[c_272354,c_194]) ).
tcf(c_272401,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272354,c_165]) ).
tcf(c_272402,plain,
( iLess0(sz00,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272354,c_173]) ).
tcf(c_272403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_272354,c_193]) ).
tcf(c_272404,plain,
( iLess0(sz00,sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272402,c_151,c_253223]) ).
tcf(c_272407,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272403,c_151,c_253223]) ).
tcf(c_272411,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK12))) = sdtpldt0(xm,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_272401,c_151,c_253223]) ).
tcf(c_272412,plain,
( ( sdtpldt0(xm,sK12) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272400,c_151,c_253223]) ).
tcf(c_272415,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_65]) ).
tcf(c_272416,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_63]) ).
tcf(c_272417,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK12),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_67]) ).
tcf(c_272424,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_65]) ).
tcf(c_272425,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_63]) ).
tcf(c_272426,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK12,sz00)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253584,c_67]) ).
tcf(c_272427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253584,c_162]) ).
tcf(c_272429,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ doDivides0(X0,sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253584,c_157]) ).
tcf(c_272430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253584,c_160]) ).
tcf(c_272431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(xm,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12)) ),
inference(superposition,[status(thm)],[c_253584,c_160]) ).
tcf(c_272432,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253584,c_167]) ).
tcf(c_272433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(superposition,[status(thm)],[c_253584,c_162]) ).
tcf(c_272434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ( sdtpldt0(sdtpldt0(xm,sK12),X0) != sdtpldt0(xm,sK12) ) ),
inference(superposition,[status(thm)],[c_253584,c_166]) ).
tcf(c_272435,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272429,c_151,c_253223]) ).
tcf(c_272439,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK12),X0) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272434,c_151,c_253223]) ).
tcf(c_272443,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272432,c_151,c_253223]) ).
tcf(c_272447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(xm,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272431,c_151,c_253223]) ).
tcf(c_272452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xm,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272430,c_151,c_253223]) ).
tcf(c_272457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272433,c_151,c_253223]) ).
tcf(c_272462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK12))
| ( sdtpldt0(xm,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272427,c_151,c_253223]) ).
tcf(c_272467,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK12,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272426,c_104,c_151,c_50]) ).
tcf(c_272473,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272425,c_104,c_151,c_50]) ).
tcf(c_272479,plain,
( sP0(sz00)
| sP1(sK12,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK12))
| ~ iLess0(sdtpldt0(xm,sK12),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272424,c_104,c_151,c_50]) ).
tcf(c_272485,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_272417,c_253586]) ).
tcf(c_272486,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272485,c_151,c_253223]) ).
tcf(c_272493,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_272416,c_253586]) ).
tcf(c_272494,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK12),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272493,c_151,c_253223]) ).
tcf(c_272501,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK12))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_272415,c_253586]) ).
tcf(c_272502,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK12),X0)) = sdtpldt0(xm,sK12) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK12),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272501,c_151,c_253223]) ).
tcf(c_272509,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_64]) ).
tcf(c_272510,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_62]) ).
tcf(c_272511,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_66]) ).
tcf(c_272517,plain,
( doDivides0(sz10,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253899,c_272]) ).
tcf(c_272519,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_64]) ).
tcf(c_272520,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_62]) ).
tcf(c_272521,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_66]) ).
tcf(c_272522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253899,c_141]) ).
tcf(c_272523,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253899,c_137]) ).
tcf(c_272524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253899,c_141]) ).
tcf(c_272525,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_145]) ).
tcf(c_272526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(superposition,[status(thm)],[c_253899,c_139]) ).
tcf(c_272527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253899,c_139]) ).
tcf(c_272528,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(X0,sdtpldt0(xm,sK13)) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253899,c_146]) ).
tcf(c_272529,plain,
doDivides0(sz10,sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_272517,c_155,c_253640]) ).
tcf(c_272530,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272523,c_155,c_253640]) ).
tcf(c_272533,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272525,c_156,c_155,c_253640]) ).
tcf(c_272537,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK13)) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272528,c_155,c_253640]) ).
tcf(c_272542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272527,c_156,c_155,c_253640]) ).
tcf(c_272547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272526,c_156,c_155,c_253640]) ).
tcf(c_272552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272524,c_155,c_253640]) ).
tcf(c_272558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272522,c_155,c_253640]) ).
tcf(c_272564,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272521,c_155,c_253640]) ).
tcf(c_272572,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272520,c_155,c_253640]) ).
tcf(c_272580,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272511,c_155,c_253640]) ).
tcf(c_272588,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272519,c_155,c_253640]) ).
tcf(c_272596,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272510,c_155,c_253640]) ).
tcf(c_272604,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK13)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272509,c_155,c_253640]) ).
tcf(c_273118,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_272529,c_196]) ).
tcf(c_273119,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK13),sz10)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_272529,c_199]) ).
tcf(c_273121,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(sdtpldt0(xm,sK13),X0) ),
inference(superposition,[status(thm)],[c_272529,c_180]) ).
tcf(c_273122,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_272529,c_176]) ).
tcf(c_273125,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_273122,c_155,c_253640]) ).
tcf(c_273126,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273121,c_155,c_253640]) ).
tcf(c_273130,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK13),sz10)) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_273119,c_156,c_155,c_253640]) ).
tcf(c_273131,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273118,c_156,c_155,c_253640]) ).
tcf(c_273134,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_64]) ).
tcf(c_273135,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_62]) ).
tcf(c_273136,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_66]) ).
tcf(c_273142,plain,
( doDivides0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253900,c_272]) ).
tcf(c_273144,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),sK7(X0,sdtpldt0(xm,sK13))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_64]) ).
tcf(c_273145,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK13)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_62]) ).
tcf(c_273146,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| doDivides0(sdtpldt0(xm,sK13),X0)
| sP1(X1,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_66]) ).
tcf(c_273147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253900,c_141]) ).
tcf(c_273148,plain,
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253900,c_137]) ).
tcf(c_273149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(superposition,[status(thm)],[c_253900,c_141]) ).
tcf(c_273150,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),X0) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_145]) ).
tcf(c_273151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253900,c_139]) ).
tcf(c_273152,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sdtpldt0(xm,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253900,c_139]) ).
tcf(c_273153,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253900,c_146]) ).
tcf(c_273154,plain,
doDivides0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_273142,c_155,c_253640]) ).
tcf(c_273155,plain,
sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_273148,c_156,c_155,c_253640]) ).
tcf(c_273156,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273153,c_156,c_155,c_253640]) ).
tcf(c_273160,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK13),X0) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273150,c_155,c_253640]) ).
tcf(c_273165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK13),X0),sdtpldt0(xm,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273152,c_155,c_253640]) ).
tcf(c_273171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273151,c_155,c_253640]) ).
tcf(c_273177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273149,c_156,c_155,c_253640]) ).
tcf(c_273182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273147,c_156,c_155,c_253640]) ).
tcf(c_273187,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273136,c_155,c_253640]) ).
tcf(c_273195,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273135,c_155,c_253640]) ).
tcf(c_273203,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| doDivides0(sdtpldt0(xm,sK13),X0)
| sP1(X1,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273146,c_155,c_253640]) ).
tcf(c_273211,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK13)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273145,c_155,c_253640]) ).
tcf(c_273219,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK13),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273134,c_155,c_253640]) ).
tcf(c_273227,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK13))
| sP1(X1,sdtpldt0(xm,sK13))
| ( sdtasdt0(sdtpldt0(xm,sK13),sK7(X0,sdtpldt0(xm,sK13))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK13)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273144,c_155,c_253640]) ).
tcf(c_273258,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273154,c_196]) ).
tcf(c_273259,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK13),sdtsldt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273154,c_199]) ).
tcf(c_273262,plain,
( ( sdtasdt0(sdtpldt0(xm,sK13),sK20(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273154,c_176]) ).
tcf(c_273264,plain,
( doDivides0(sdtpldt0(xm,sK13),sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(sdtpldt0(xm,sK13),xm) ),
inference(superposition,[status(thm)],[c_273154,c_157]) ).
tcf(c_273265,plain,
sdtasdt0(sdtpldt0(xm,sK13),sK20(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_273262,c_253640]) ).
tcf(c_273266,plain,
( doDivides0(sdtpldt0(xm,sK13),sK13)
| ~ doDivides0(sdtpldt0(xm,sK13),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273264,c_106,c_50,c_253640]) ).
tcf(c_273269,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK13),sdtsldt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273259,c_253640]) ).
tcf(c_273272,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273258,c_253640]) ).
tcf(c_273277,plain,
( ( sdtpldt0(sdtpldt0(xm,sK13),sK19(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273155,c_165]) ).
tcf(c_273280,plain,
sdtpldt0(sdtpldt0(xm,sK13),sK19(sdtpldt0(xm,sK13),sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_273277,c_253640]) ).
tcf(c_273281,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253901,c_65]) ).
tcf(c_273282,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253901,c_63]) ).
tcf(c_273283,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK13)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253901,c_67]) ).
tcf(c_273288,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253901,c_275]) ).
tcf(c_273290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253901,c_162]) ).
tcf(c_273293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(superposition,[status(thm)],[c_253901,c_160]) ).
tcf(c_273294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253901,c_160]) ).
tcf(c_273295,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtpldt0(X0,sdtpldt0(xm,sK13)) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253901,c_167]) ).
tcf(c_273296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253901,c_162]) ).
tcf(c_273297,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253901,c_166]) ).
tcf(c_273298,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_273288,c_151,c_253640]) ).
tcf(c_273299,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273297,c_151,c_253640]) ).
tcf(c_273303,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK13)) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273295,c_151,c_253640]) ).
tcf(c_273307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,sdtpldt0(xm,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273296,c_151,c_253640]) ).
tcf(c_273312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK13)),sdtpldt0(xm,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273290,c_151,c_253640]) ).
tcf(c_273317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273294,c_151,c_253640]) ).
tcf(c_273322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273293,c_151,c_253640]) ).
tcf(c_273328,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_273282,c_253903]) ).
tcf(c_273329,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273328,c_151,c_253640]) ).
tcf(c_273336,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_273281,c_253903]) ).
tcf(c_273337,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK13),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273336,c_151,c_253640]) ).
tcf(c_273546,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),sz00) ),
inference(superposition,[status(thm)],[c_273298,c_194]) ).
tcf(c_273547,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273298,c_165]) ).
tcf(c_273548,plain,
( iLess0(sz00,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273298,c_173]) ).
tcf(c_273549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_273298,c_193]) ).
tcf(c_273550,plain,
( iLess0(sz00,sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273548,c_151,c_253640]) ).
tcf(c_273553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273549,c_151,c_253640]) ).
tcf(c_273557,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK13))) = sdtpldt0(xm,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_273547,c_151,c_253640]) ).
tcf(c_273558,plain,
( ( sdtpldt0(xm,sK13) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273546,c_151,c_253640]) ).
tcf(c_273561,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_65]) ).
tcf(c_273562,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_63]) ).
tcf(c_273563,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK13),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_67]) ).
tcf(c_273570,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_65]) ).
tcf(c_273571,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_63]) ).
tcf(c_273572,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK13,sz00)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_253902,c_67]) ).
tcf(c_273573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253902,c_162]) ).
tcf(c_273575,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ doDivides0(X0,sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253902,c_157]) ).
tcf(c_273576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253902,c_160]) ).
tcf(c_273577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(xm,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13)) ),
inference(superposition,[status(thm)],[c_253902,c_160]) ).
tcf(c_273578,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253902,c_167]) ).
tcf(c_273579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(superposition,[status(thm)],[c_253902,c_162]) ).
tcf(c_273580,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ( sdtpldt0(sdtpldt0(xm,sK13),X0) != sdtpldt0(xm,sK13) ) ),
inference(superposition,[status(thm)],[c_253902,c_166]) ).
tcf(c_273581,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273575,c_151,c_253640]) ).
tcf(c_273585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK13),X0) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273580,c_151,c_253640]) ).
tcf(c_273589,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273578,c_151,c_253640]) ).
tcf(c_273593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(xm,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273577,c_151,c_253640]) ).
tcf(c_273598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xm,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273576,c_151,c_253640]) ).
tcf(c_273603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273579,c_151,c_253640]) ).
tcf(c_273608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK13))
| ( sdtpldt0(xm,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273573,c_151,c_253640]) ).
tcf(c_273613,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK13,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273572,c_106,c_151,c_50]) ).
tcf(c_273619,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273571,c_106,c_151,c_50]) ).
tcf(c_273625,plain,
( sP0(sz00)
| sP1(sK13,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK13))
| ~ iLess0(sdtpldt0(xm,sK13),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273570,c_106,c_151,c_50]) ).
tcf(c_273631,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_273563,c_253904]) ).
tcf(c_273632,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273631,c_151,c_253640]) ).
tcf(c_273639,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_273562,c_253904]) ).
tcf(c_273640,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK13),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273639,c_151,c_253640]) ).
tcf(c_273647,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK13))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_273561,c_253904]) ).
tcf(c_273648,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK13),X0)) = sdtpldt0(xm,sK13) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK13),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273647,c_151,c_253640]) ).
tcf(c_273655,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_64]) ).
tcf(c_273656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_62]) ).
tcf(c_273657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_66]) ).
tcf(c_273663,plain,
( doDivides0(sz10,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254080,c_272]) ).
tcf(c_273665,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_64]) ).
tcf(c_273666,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_62]) ).
tcf(c_273667,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_66]) ).
tcf(c_273668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254080,c_141]) ).
tcf(c_273669,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254080,c_137]) ).
tcf(c_273670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254080,c_141]) ).
tcf(c_273671,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_145]) ).
tcf(c_273672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(superposition,[status(thm)],[c_254080,c_139]) ).
tcf(c_273673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254080,c_139]) ).
tcf(c_273674,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(X0,sdtpldt0(xm,sK14)) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254080,c_146]) ).
tcf(c_273675,plain,
doDivides0(sz10,sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_273663,c_155,c_253958]) ).
tcf(c_273676,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273669,c_155,c_253958]) ).
tcf(c_273679,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273671,c_156,c_155,c_253958]) ).
tcf(c_273683,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK14)) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273674,c_155,c_253958]) ).
tcf(c_273688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273673,c_156,c_155,c_253958]) ).
tcf(c_273693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273672,c_156,c_155,c_253958]) ).
tcf(c_273698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273670,c_155,c_253958]) ).
tcf(c_273704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273668,c_155,c_253958]) ).
tcf(c_273710,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273667,c_155,c_253958]) ).
tcf(c_273718,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273666,c_155,c_253958]) ).
tcf(c_273726,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273657,c_155,c_253958]) ).
tcf(c_273734,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273665,c_155,c_253958]) ).
tcf(c_273742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273656,c_155,c_253958]) ).
tcf(c_273750,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK14)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273655,c_155,c_253958]) ).
tcf(c_273758,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273675,c_196]) ).
tcf(c_273759,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK14),sz10)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273675,c_199]) ).
tcf(c_273761,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(sdtpldt0(xm,sK14),X0) ),
inference(superposition,[status(thm)],[c_273675,c_180]) ).
tcf(c_273762,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273675,c_176]) ).
tcf(c_273765,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_273762,c_155,c_253958]) ).
tcf(c_273766,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273761,c_155,c_253958]) ).
tcf(c_273770,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK14),sz10)) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_273759,c_156,c_155,c_253958]) ).
tcf(c_273771,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273758,c_156,c_155,c_253958]) ).
tcf(c_273833,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_64]) ).
tcf(c_273834,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_62]) ).
tcf(c_273835,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_66]) ).
tcf(c_273841,plain,
( doDivides0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254081,c_272]) ).
tcf(c_273843,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),sK7(X0,sdtpldt0(xm,sK14))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_64]) ).
tcf(c_273844,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK14)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_62]) ).
tcf(c_273845,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| doDivides0(sdtpldt0(xm,sK14),X0)
| sP1(X1,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_66]) ).
tcf(c_273846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254081,c_141]) ).
tcf(c_273847,plain,
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254081,c_137]) ).
tcf(c_273848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(superposition,[status(thm)],[c_254081,c_141]) ).
tcf(c_273849,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),X0) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_145]) ).
tcf(c_273850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254081,c_139]) ).
tcf(c_273851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sdtpldt0(xm,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254081,c_139]) ).
tcf(c_273852,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254081,c_146]) ).
tcf(c_273853,plain,
doDivides0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_273841,c_155,c_253958]) ).
tcf(c_273854,plain,
sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_273847,c_156,c_155,c_253958]) ).
tcf(c_273855,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273852,c_156,c_155,c_253958]) ).
tcf(c_273859,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK14),X0) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273849,c_155,c_253958]) ).
tcf(c_273864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK14),X0),sdtpldt0(xm,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273851,c_155,c_253958]) ).
tcf(c_273870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273850,c_155,c_253958]) ).
tcf(c_273876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273848,c_156,c_155,c_253958]) ).
tcf(c_273881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273846,c_156,c_155,c_253958]) ).
tcf(c_273886,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273835,c_155,c_253958]) ).
tcf(c_273894,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273834,c_155,c_253958]) ).
tcf(c_273902,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| doDivides0(sdtpldt0(xm,sK14),X0)
| sP1(X1,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273845,c_155,c_253958]) ).
tcf(c_273910,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK14)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273844,c_155,c_253958]) ).
tcf(c_273918,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK14),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273833,c_155,c_253958]) ).
tcf(c_273926,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK14))
| sP1(X1,sdtpldt0(xm,sK14))
| ( sdtasdt0(sdtpldt0(xm,sK14),sK7(X0,sdtpldt0(xm,sK14))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK14)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273843,c_155,c_253958]) ).
tcf(c_273998,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273853,c_196]) ).
tcf(c_273999,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK14),sdtsldt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273853,c_199]) ).
tcf(c_274002,plain,
( ( sdtasdt0(sdtpldt0(xm,sK14),sK20(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273853,c_176]) ).
tcf(c_274004,plain,
( doDivides0(sdtpldt0(xm,sK14),sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(sdtpldt0(xm,sK14),xm) ),
inference(superposition,[status(thm)],[c_273853,c_157]) ).
tcf(c_274005,plain,
sdtasdt0(sdtpldt0(xm,sK14),sK20(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_274002,c_253958]) ).
tcf(c_274006,plain,
( doDivides0(sdtpldt0(xm,sK14),sK14)
| ~ doDivides0(sdtpldt0(xm,sK14),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274004,c_110,c_50,c_253958]) ).
tcf(c_274009,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK14),sdtsldt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273999,c_253958]) ).
tcf(c_274012,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273998,c_253958]) ).
tcf(c_274017,plain,
( ( sdtpldt0(sdtpldt0(xm,sK14),sK19(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_273854,c_165]) ).
tcf(c_274020,plain,
sdtpldt0(sdtpldt0(xm,sK14),sK19(sdtpldt0(xm,sK14),sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_274017,c_253958]) ).
tcf(c_274021,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254082,c_65]) ).
tcf(c_274022,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254082,c_63]) ).
tcf(c_274023,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK14)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254082,c_67]) ).
tcf(c_274028,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254082,c_275]) ).
tcf(c_274030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254082,c_162]) ).
tcf(c_274033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(superposition,[status(thm)],[c_254082,c_160]) ).
tcf(c_274034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254082,c_160]) ).
tcf(c_274035,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtpldt0(X0,sdtpldt0(xm,sK14)) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254082,c_167]) ).
tcf(c_274036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254082,c_162]) ).
tcf(c_274037,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254082,c_166]) ).
tcf(c_274038,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_274028,c_151,c_253958]) ).
tcf(c_274039,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274037,c_151,c_253958]) ).
tcf(c_274043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK14)) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274035,c_151,c_253958]) ).
tcf(c_274047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,sdtpldt0(xm,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274036,c_151,c_253958]) ).
tcf(c_274052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK14)),sdtpldt0(xm,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274030,c_151,c_253958]) ).
tcf(c_274057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274034,c_151,c_253958]) ).
tcf(c_274062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274033,c_151,c_253958]) ).
tcf(c_274068,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274022,c_254084]) ).
tcf(c_274069,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274068,c_151,c_253958]) ).
tcf(c_274076,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274021,c_254084]) ).
tcf(c_274077,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK14),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274076,c_151,c_253958]) ).
tcf(c_274084,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),sz00) ),
inference(superposition,[status(thm)],[c_274038,c_194]) ).
tcf(c_274085,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_274038,c_165]) ).
tcf(c_274086,plain,
( iLess0(sz00,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_274038,c_173]) ).
tcf(c_274087,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_274038,c_193]) ).
tcf(c_274088,plain,
( iLess0(sz00,sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274086,c_151,c_253958]) ).
tcf(c_274091,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274087,c_151,c_253958]) ).
tcf(c_274095,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK14))) = sdtpldt0(xm,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_274085,c_151,c_253958]) ).
tcf(c_274096,plain,
( ( sdtpldt0(xm,sK14) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274084,c_151,c_253958]) ).
tcf(c_274099,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_65]) ).
tcf(c_274100,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_63]) ).
tcf(c_274101,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK14),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_67]) ).
tcf(c_274108,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_65]) ).
tcf(c_274109,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_63]) ).
tcf(c_274110,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK14,sz00)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254083,c_67]) ).
tcf(c_274111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254083,c_162]) ).
tcf(c_274113,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ doDivides0(X0,sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254083,c_157]) ).
tcf(c_274114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254083,c_160]) ).
tcf(c_274115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(xm,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14)) ),
inference(superposition,[status(thm)],[c_254083,c_160]) ).
tcf(c_274116,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254083,c_167]) ).
tcf(c_274117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(superposition,[status(thm)],[c_254083,c_162]) ).
tcf(c_274118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ( sdtpldt0(sdtpldt0(xm,sK14),X0) != sdtpldt0(xm,sK14) ) ),
inference(superposition,[status(thm)],[c_254083,c_166]) ).
tcf(c_274119,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274113,c_151,c_253958]) ).
tcf(c_274123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK14),X0) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274118,c_151,c_253958]) ).
tcf(c_274127,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274116,c_151,c_253958]) ).
tcf(c_274131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(xm,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274115,c_151,c_253958]) ).
tcf(c_274136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xm,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274114,c_151,c_253958]) ).
tcf(c_274141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274117,c_151,c_253958]) ).
tcf(c_274146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK14))
| ( sdtpldt0(xm,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274111,c_151,c_253958]) ).
tcf(c_274151,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK14,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274110,c_110,c_151,c_50]) ).
tcf(c_274157,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274109,c_110,c_151,c_50]) ).
tcf(c_274163,plain,
( sP0(sz00)
| sP1(sK14,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK14))
| ~ iLess0(sdtpldt0(xm,sK14),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274108,c_110,c_151,c_50]) ).
tcf(c_274169,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274101,c_254085]) ).
tcf(c_274170,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274169,c_151,c_253958]) ).
tcf(c_274177,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274100,c_254085]) ).
tcf(c_274178,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK14),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274177,c_151,c_253958]) ).
tcf(c_274185,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK14))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274099,c_254085]) ).
tcf(c_274186,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK14),X0)) = sdtpldt0(xm,sK14) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK14),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274185,c_151,c_253958]) ).
tcf(c_274193,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_64]) ).
tcf(c_274194,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_62]) ).
tcf(c_274195,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_66]) ).
tcf(c_274201,plain,
( doDivides0(sz10,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254246,c_272]) ).
tcf(c_274203,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_64]) ).
tcf(c_274204,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_62]) ).
tcf(c_274205,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_66]) ).
tcf(c_274206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254246,c_141]) ).
tcf(c_274207,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254246,c_137]) ).
tcf(c_274208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254246,c_141]) ).
tcf(c_274209,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_145]) ).
tcf(c_274210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(superposition,[status(thm)],[c_254246,c_139]) ).
tcf(c_274211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254246,c_139]) ).
tcf(c_274212,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(X0,sdtpldt0(xm,sK17)) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254246,c_146]) ).
tcf(c_274213,plain,
doDivides0(sz10,sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_274201,c_155,c_254171]) ).
tcf(c_274214,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274207,c_155,c_254171]) ).
tcf(c_274217,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274209,c_156,c_155,c_254171]) ).
tcf(c_274221,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK17)) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274212,c_155,c_254171]) ).
tcf(c_274226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274211,c_156,c_155,c_254171]) ).
tcf(c_274231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274210,c_156,c_155,c_254171]) ).
tcf(c_274236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274208,c_155,c_254171]) ).
tcf(c_274242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274206,c_155,c_254171]) ).
tcf(c_274248,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274205,c_155,c_254171]) ).
tcf(c_274256,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274204,c_155,c_254171]) ).
tcf(c_274264,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274195,c_155,c_254171]) ).
tcf(c_274272,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274203,c_155,c_254171]) ).
tcf(c_274280,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274194,c_155,c_254171]) ).
tcf(c_274288,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK17)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274193,c_155,c_254171]) ).
tcf(c_274296,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274213,c_196]) ).
tcf(c_274297,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK17),sz10)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274213,c_199]) ).
tcf(c_274299,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(sdtpldt0(xm,sK17),X0) ),
inference(superposition,[status(thm)],[c_274213,c_180]) ).
tcf(c_274300,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274213,c_176]) ).
tcf(c_274303,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_274300,c_155,c_254171]) ).
tcf(c_274304,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274299,c_155,c_254171]) ).
tcf(c_274308,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK17),sz10)) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_274297,c_156,c_155,c_254171]) ).
tcf(c_274309,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274296,c_156,c_155,c_254171]) ).
tcf(c_274336,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_64]) ).
tcf(c_274337,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_62]) ).
tcf(c_274338,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_66]) ).
tcf(c_274344,plain,
( doDivides0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254247,c_272]) ).
tcf(c_274346,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),sK7(X0,sdtpldt0(xm,sK17))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_64]) ).
tcf(c_274347,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK17)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_62]) ).
tcf(c_274348,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| doDivides0(sdtpldt0(xm,sK17),X0)
| sP1(X1,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_66]) ).
tcf(c_274349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254247,c_141]) ).
tcf(c_274350,plain,
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254247,c_137]) ).
tcf(c_274351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(superposition,[status(thm)],[c_254247,c_141]) ).
tcf(c_274352,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),X0) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_145]) ).
tcf(c_274353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254247,c_139]) ).
tcf(c_274354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sdtpldt0(xm,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254247,c_139]) ).
tcf(c_274355,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254247,c_146]) ).
tcf(c_274356,plain,
doDivides0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_274344,c_155,c_254171]) ).
tcf(c_274357,plain,
sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_274350,c_156,c_155,c_254171]) ).
tcf(c_274358,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274355,c_156,c_155,c_254171]) ).
tcf(c_274362,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK17),X0) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274352,c_155,c_254171]) ).
tcf(c_274367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK17),X0),sdtpldt0(xm,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274354,c_155,c_254171]) ).
tcf(c_274373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274353,c_155,c_254171]) ).
tcf(c_274379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274351,c_156,c_155,c_254171]) ).
tcf(c_274384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274349,c_156,c_155,c_254171]) ).
tcf(c_274389,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274338,c_155,c_254171]) ).
tcf(c_274397,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274337,c_155,c_254171]) ).
tcf(c_274405,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| doDivides0(sdtpldt0(xm,sK17),X0)
| sP1(X1,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274348,c_155,c_254171]) ).
tcf(c_274413,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK17)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274347,c_155,c_254171]) ).
tcf(c_274421,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK17),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274336,c_155,c_254171]) ).
tcf(c_274429,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK17))
| sP1(X1,sdtpldt0(xm,sK17))
| ( sdtasdt0(sdtpldt0(xm,sK17),sK7(X0,sdtpldt0(xm,sK17))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK17)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274346,c_155,c_254171]) ).
tcf(c_274503,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274356,c_196]) ).
tcf(c_274504,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK17),sdtsldt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274356,c_199]) ).
tcf(c_274507,plain,
( ( sdtasdt0(sdtpldt0(xm,sK17),sK20(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274356,c_176]) ).
tcf(c_274509,plain,
( doDivides0(sdtpldt0(xm,sK17),sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(sdtpldt0(xm,sK17),xm) ),
inference(superposition,[status(thm)],[c_274356,c_157]) ).
tcf(c_274510,plain,
sdtasdt0(sdtpldt0(xm,sK17),sK20(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_274507,c_254171]) ).
tcf(c_274511,plain,
( doDivides0(sdtpldt0(xm,sK17),sK17)
| ~ doDivides0(sdtpldt0(xm,sK17),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274509,c_119,c_50,c_254171]) ).
tcf(c_274514,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK17),sdtsldt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274504,c_254171]) ).
tcf(c_274517,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274503,c_254171]) ).
tcf(c_274540,plain,
( ( sdtpldt0(sdtpldt0(xm,sK17),sK19(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274357,c_165]) ).
tcf(c_274543,plain,
sdtpldt0(sdtpldt0(xm,sK17),sK19(sdtpldt0(xm,sK17),sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_274540,c_254171]) ).
tcf(c_274562,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254248,c_65]) ).
tcf(c_274563,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254248,c_63]) ).
tcf(c_274564,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK17)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254248,c_67]) ).
tcf(c_274569,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254248,c_275]) ).
tcf(c_274571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254248,c_162]) ).
tcf(c_274574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(superposition,[status(thm)],[c_254248,c_160]) ).
tcf(c_274575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254248,c_160]) ).
tcf(c_274576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtpldt0(X0,sdtpldt0(xm,sK17)) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254248,c_167]) ).
tcf(c_274577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254248,c_162]) ).
tcf(c_274578,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254248,c_166]) ).
tcf(c_274579,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_274569,c_151,c_254171]) ).
tcf(c_274580,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274578,c_151,c_254171]) ).
tcf(c_274584,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK17)) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274576,c_151,c_254171]) ).
tcf(c_274588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,sdtpldt0(xm,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274577,c_151,c_254171]) ).
tcf(c_274593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK17)),sdtpldt0(xm,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274571,c_151,c_254171]) ).
tcf(c_274598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274575,c_151,c_254171]) ).
tcf(c_274603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274574,c_151,c_254171]) ).
tcf(c_274609,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274563,c_254250]) ).
tcf(c_274610,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274609,c_151,c_254171]) ).
tcf(c_274617,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274562,c_254250]) ).
tcf(c_274618,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK17),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274617,c_151,c_254171]) ).
tcf(c_274709,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_64]) ).
tcf(c_274710,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_62]) ).
tcf(c_274711,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_66]) ).
tcf(c_274719,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_64]) ).
tcf(c_274720,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_62]) ).
tcf(c_274721,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_66]) ).
tcf(c_274722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_207500,c_141]) ).
tcf(c_274723,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_207500,c_137]) ).
tcf(c_274724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))))
| ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_207500,c_141]) ).
tcf(c_274725,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_145]) ).
tcf(c_274726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(sz10,sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_207500,c_139]) ).
tcf(c_274727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(sz10,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_207500,c_139]) ).
tcf(c_274728,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207500,c_146]) ).
tcf(c_274729,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274723,c_155]) ).
tcf(c_274733,plain,
! [X0: $i] :
( ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274725,c_156,c_155]) ).
tcf(c_274738,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274728,c_155]) ).
tcf(c_274744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(sz10,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274727,c_156,c_155]) ).
tcf(c_274750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sK20(sz10,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(sz10,sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274726,c_156,c_155]) ).
tcf(c_274756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))))
| ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274724,c_155]) ).
tcf(c_274763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sz10,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sK20(sz10,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274722,c_155]) ).
tcf(c_274770,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274721,c_155]) ).
tcf(c_274779,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274720,c_155]) ).
tcf(c_274788,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274719,c_155]) ).
tcf(c_274797,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274711,c_155]) ).
tcf(c_274806,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274710,c_155]) ).
tcf(c_274815,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK20(sz10,sdtasdt0(xn,xm)),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sz10,sdtasdt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK20(sz10,sdtasdt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274709,c_155]) ).
tcf(c_274827,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),sz00) ),
inference(superposition,[status(thm)],[c_274579,c_194]) ).
tcf(c_274828,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274579,c_165]) ).
tcf(c_274829,plain,
( iLess0(sz00,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274579,c_173]) ).
tcf(c_274830,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_274579,c_193]) ).
tcf(c_274831,plain,
( iLess0(sz00,sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274829,c_151,c_254171]) ).
tcf(c_274834,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274830,c_151,c_254171]) ).
tcf(c_274838,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK17))) = sdtpldt0(xm,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_274828,c_151,c_254171]) ).
tcf(c_274839,plain,
( ( sdtpldt0(xm,sK17) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274827,c_151,c_254171]) ).
tcf(c_274842,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_65]) ).
tcf(c_274843,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_63]) ).
tcf(c_274844,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK17),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_67]) ).
tcf(c_274851,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_65]) ).
tcf(c_274852,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_63]) ).
tcf(c_274853,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK17,sz00)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254249,c_67]) ).
tcf(c_274854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254249,c_162]) ).
tcf(c_274856,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ doDivides0(X0,sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254249,c_157]) ).
tcf(c_274857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254249,c_160]) ).
tcf(c_274858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(xm,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17)) ),
inference(superposition,[status(thm)],[c_254249,c_160]) ).
tcf(c_274859,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254249,c_167]) ).
tcf(c_274860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(superposition,[status(thm)],[c_254249,c_162]) ).
tcf(c_274861,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ( sdtpldt0(sdtpldt0(xm,sK17),X0) != sdtpldt0(xm,sK17) ) ),
inference(superposition,[status(thm)],[c_254249,c_166]) ).
tcf(c_274862,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274856,c_151,c_254171]) ).
tcf(c_274866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK17),X0) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274861,c_151,c_254171]) ).
tcf(c_274870,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274859,c_151,c_254171]) ).
tcf(c_274874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(xm,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274858,c_151,c_254171]) ).
tcf(c_274879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xm,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274857,c_151,c_254171]) ).
tcf(c_274884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274860,c_151,c_254171]) ).
tcf(c_274889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK17))
| ( sdtpldt0(xm,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274854,c_151,c_254171]) ).
tcf(c_274894,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK17,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274853,c_119,c_151,c_50]) ).
tcf(c_274900,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274852,c_119,c_151,c_50]) ).
tcf(c_274906,plain,
( sP0(sz00)
| sP1(sK17,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK17))
| ~ iLess0(sdtpldt0(xm,sK17),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274851,c_119,c_151,c_50]) ).
tcf(c_274912,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274844,c_254251]) ).
tcf(c_274913,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274912,c_151,c_254171]) ).
tcf(c_274920,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274843,c_254251]) ).
tcf(c_274921,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK17),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274920,c_151,c_254171]) ).
tcf(c_274928,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK17))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_274842,c_254251]) ).
tcf(c_274929,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK17),X0)) = sdtpldt0(xm,sK17) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK17),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274928,c_151,c_254171]) ).
tcf(c_274976,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_64]) ).
tcf(c_274977,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_62]) ).
tcf(c_274978,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_66]) ).
tcf(c_274984,plain,
( doDivides0(sz10,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254427,c_272]) ).
tcf(c_274986,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_64]) ).
tcf(c_274987,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_62]) ).
tcf(c_274988,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_66]) ).
tcf(c_274989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254427,c_141]) ).
tcf(c_274990,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254427,c_137]) ).
tcf(c_274991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254427,c_141]) ).
tcf(c_274992,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_145]) ).
tcf(c_274993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(superposition,[status(thm)],[c_254427,c_139]) ).
tcf(c_274994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254427,c_139]) ).
tcf(c_274995,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(X0,sdtpldt0(xm,sK18)) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254427,c_146]) ).
tcf(c_274996,plain,
doDivides0(sz10,sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_274984,c_155,c_254352]) ).
tcf(c_274997,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274990,c_155,c_254352]) ).
tcf(c_275000,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274992,c_156,c_155,c_254352]) ).
tcf(c_275004,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK18)) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274995,c_155,c_254352]) ).
tcf(c_275009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274994,c_156,c_155,c_254352]) ).
tcf(c_275014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274993,c_156,c_155,c_254352]) ).
tcf(c_275019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274991,c_155,c_254352]) ).
tcf(c_275025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274989,c_155,c_254352]) ).
tcf(c_275031,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274988,c_155,c_254352]) ).
tcf(c_275039,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274987,c_155,c_254352]) ).
tcf(c_275047,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274978,c_155,c_254352]) ).
tcf(c_275055,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274986,c_155,c_254352]) ).
tcf(c_275063,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274977,c_155,c_254352]) ).
tcf(c_275071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(xm,sK18)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274976,c_155,c_254352]) ).
tcf(c_275695,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_274996,c_196]) ).
tcf(c_275696,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK18),sz10)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_274996,c_199]) ).
tcf(c_275698,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(sdtpldt0(xm,sK18),X0) ),
inference(superposition,[status(thm)],[c_274996,c_180]) ).
tcf(c_275699,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_274996,c_176]) ).
tcf(c_275702,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_275699,c_155,c_254352]) ).
tcf(c_275703,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275698,c_155,c_254352]) ).
tcf(c_275707,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,sK18),sz10)) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_275696,c_156,c_155,c_254352]) ).
tcf(c_275708,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275695,c_156,c_155,c_254352]) ).
tcf(c_275711,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_64]) ).
tcf(c_275712,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_62]) ).
tcf(c_275713,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_66]) ).
tcf(c_275719,plain,
( doDivides0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254428,c_272]) ).
tcf(c_275721,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),sK7(X0,sdtpldt0(xm,sK18))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_64]) ).
tcf(c_275722,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK18)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_62]) ).
tcf(c_275723,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| doDivides0(sdtpldt0(xm,sK18),X0)
| sP1(X1,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_66]) ).
tcf(c_275724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254428,c_141]) ).
tcf(c_275725,plain,
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254428,c_137]) ).
tcf(c_275726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(superposition,[status(thm)],[c_254428,c_141]) ).
tcf(c_275727,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),X0) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_145]) ).
tcf(c_275728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254428,c_139]) ).
tcf(c_275729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sdtpldt0(xm,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254428,c_139]) ).
tcf(c_275730,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254428,c_146]) ).
tcf(c_275731,plain,
doDivides0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_275719,c_155,c_254352]) ).
tcf(c_275732,plain,
sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_275725,c_156,c_155,c_254352]) ).
tcf(c_275733,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275730,c_156,c_155,c_254352]) ).
tcf(c_275737,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK18),X0) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275727,c_155,c_254352]) ).
tcf(c_275742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK18),X0),sdtpldt0(xm,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275729,c_155,c_254352]) ).
tcf(c_275748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275728,c_155,c_254352]) ).
tcf(c_275754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275726,c_156,c_155,c_254352]) ).
tcf(c_275759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275724,c_156,c_155,c_254352]) ).
tcf(c_275764,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275713,c_155,c_254352]) ).
tcf(c_275772,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275712,c_155,c_254352]) ).
tcf(c_275780,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| doDivides0(sdtpldt0(xm,sK18),X0)
| sP1(X1,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275723,c_155,c_254352]) ).
tcf(c_275788,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| aNaturalNumber0(sK7(X0,sdtpldt0(xm,sK18)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275722,c_155,c_254352]) ).
tcf(c_275796,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(xm,sK18),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275711,c_155,c_254352]) ).
tcf(c_275804,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(xm,sK18))
| sP1(X1,sdtpldt0(xm,sK18))
| ( sdtasdt0(sdtpldt0(xm,sK18),sK7(X0,sdtpldt0(xm,sK18))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sK18)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275721,c_155,c_254352]) ).
tcf(c_275812,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275731,c_196]) ).
tcf(c_275813,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK18),sdtsldt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275731,c_199]) ).
tcf(c_275816,plain,
( ( sdtasdt0(sdtpldt0(xm,sK18),sK20(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275731,c_176]) ).
tcf(c_275818,plain,
( doDivides0(sdtpldt0(xm,sK18),sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(sdtpldt0(xm,sK18),xm) ),
inference(superposition,[status(thm)],[c_275731,c_157]) ).
tcf(c_275819,plain,
sdtasdt0(sdtpldt0(xm,sK18),sK20(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_275816,c_254352]) ).
tcf(c_275820,plain,
( doDivides0(sdtpldt0(xm,sK18),sK18)
| ~ doDivides0(sdtpldt0(xm,sK18),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275818,c_127,c_50,c_254352]) ).
tcf(c_275823,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK18),sdtsldt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275813,c_254352]) ).
tcf(c_275826,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275812,c_254352]) ).
tcf(c_275895,plain,
( ( sdtpldt0(sdtpldt0(xm,sK18),sK19(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275732,c_165]) ).
tcf(c_275898,plain,
sdtpldt0(sdtpldt0(xm,sK18),sK19(sdtpldt0(xm,sK18),sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_275895,c_254352]) ).
tcf(c_275899,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254429,c_65]) ).
tcf(c_275900,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254429,c_63]) ).
tcf(c_275901,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,sK18)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254429,c_67]) ).
tcf(c_275906,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254429,c_275]) ).
tcf(c_275908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254429,c_162]) ).
tcf(c_275911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(superposition,[status(thm)],[c_254429,c_160]) ).
tcf(c_275912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254429,c_160]) ).
tcf(c_275913,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtpldt0(X0,sdtpldt0(xm,sK18)) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254429,c_167]) ).
tcf(c_275914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254429,c_162]) ).
tcf(c_275915,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254429,c_166]) ).
tcf(c_275916,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_275906,c_151,c_254352]) ).
tcf(c_275917,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275915,c_151,c_254352]) ).
tcf(c_275921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK18)) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275913,c_151,c_254352]) ).
tcf(c_275925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,sdtpldt0(xm,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275914,c_151,c_254352]) ).
tcf(c_275930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK18)),sdtpldt0(xm,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275908,c_151,c_254352]) ).
tcf(c_275935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275912,c_151,c_254352]) ).
tcf(c_275940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275911,c_151,c_254352]) ).
tcf(c_275946,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_275900,c_254431]) ).
tcf(c_275947,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(xm,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275946,c_151,c_254352]) ).
tcf(c_275954,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_275899,c_254431]) ).
tcf(c_275955,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(xm,sK18),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275954,c_151,c_254352]) ).
tcf(c_275962,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),sz00) ),
inference(superposition,[status(thm)],[c_275916,c_194]) ).
tcf(c_275963,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275916,c_165]) ).
tcf(c_275964,plain,
( iLess0(sz00,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275916,c_173]) ).
tcf(c_275965,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_275916,c_193]) ).
tcf(c_275966,plain,
( iLess0(sz00,sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275964,c_151,c_254352]) ).
tcf(c_275969,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275965,c_151,c_254352]) ).
tcf(c_275973,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xm,sK18))) = sdtpldt0(xm,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_275963,c_151,c_254352]) ).
tcf(c_275974,plain,
( ( sdtpldt0(xm,sK18) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275962,c_151,c_254352]) ).
tcf(c_275977,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_65]) ).
tcf(c_275978,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_63]) ).
tcf(c_275979,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,sK18),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_67]) ).
tcf(c_275986,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_65]) ).
tcf(c_275987,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_63]) ).
tcf(c_275988,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK18,sz00)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254430,c_67]) ).
tcf(c_275989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254430,c_162]) ).
tcf(c_275991,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ doDivides0(X0,sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254430,c_157]) ).
tcf(c_275992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254430,c_160]) ).
tcf(c_275993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(xm,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18)) ),
inference(superposition,[status(thm)],[c_254430,c_160]) ).
tcf(c_275994,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254430,c_167]) ).
tcf(c_275995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(superposition,[status(thm)],[c_254430,c_162]) ).
tcf(c_275996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ( sdtpldt0(sdtpldt0(xm,sK18),X0) != sdtpldt0(xm,sK18) ) ),
inference(superposition,[status(thm)],[c_254430,c_166]) ).
tcf(c_275997,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275991,c_151,c_254352]) ).
tcf(c_276001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK18),X0) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275996,c_151,c_254352]) ).
tcf(c_276005,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275994,c_151,c_254352]) ).
tcf(c_276009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(xm,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275993,c_151,c_254352]) ).
tcf(c_276014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xm,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275992,c_151,c_254352]) ).
tcf(c_276019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275995,c_151,c_254352]) ).
tcf(c_276024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK18))
| ( sdtpldt0(xm,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275989,c_151,c_254352]) ).
tcf(c_276029,plain,
( sP0(sz00)
| doDivides0(sz00,xm)
| sP1(sK18,sz00)
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275988,c_127,c_151,c_50]) ).
tcf(c_276035,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| aNaturalNumber0(sK7(xm,sz00))
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275987,c_127,c_151,c_50]) ).
tcf(c_276041,plain,
( sP0(sz00)
| sP1(sK18,sz00)
| ( sdtasdt0(sz00,sK7(xm,sz00)) = xm )
| ~ doDivides0(sz00,sdtasdt0(xm,sK18))
| ~ iLess0(sdtpldt0(xm,sK18),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275986,c_127,c_151,c_50]) ).
tcf(c_276047,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_275979,c_254432]) ).
tcf(c_276048,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(xm,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276047,c_151,c_254352]) ).
tcf(c_276055,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_275978,c_254432]) ).
tcf(c_276056,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(xm,sK18),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276055,c_151,c_254352]) ).
tcf(c_276063,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK18))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_275977,c_254432]) ).
tcf(c_276064,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(xm,sK18),X0)) = sdtpldt0(xm,sK18) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK18),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276063,c_151,c_254352]) ).
tcf(c_276071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_64]) ).
tcf(c_276072,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_62]) ).
tcf(c_276073,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_66]) ).
tcf(c_276079,plain,
( doDivides0(sz10,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254637,c_272]) ).
tcf(c_276081,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_64]) ).
tcf(c_276082,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_62]) ).
tcf(c_276083,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_66]) ).
tcf(c_276084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254637,c_141]) ).
tcf(c_276085,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254637,c_137]) ).
tcf(c_276086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254637,c_141]) ).
tcf(c_276087,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_145]) ).
tcf(c_276088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_254637,c_139]) ).
tcf(c_276089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254637,c_139]) ).
tcf(c_276090,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254637,c_146]) ).
tcf(c_276091,plain,
doDivides0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276079,c_155,c_254521]) ).
tcf(c_276092,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276085,c_254526,c_155,c_254521]) ).
tcf(c_276093,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276087,c_156,c_155,c_254521]) ).
tcf(c_276097,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276090,c_254526,c_155,c_254521]) ).
tcf(c_276101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276089,c_156,c_155,c_254521]) ).
tcf(c_276106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276088,c_156,c_155,c_254521]) ).
tcf(c_276111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276086,c_254526,c_155,c_254521]) ).
tcf(c_276116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276084,c_254526,c_155,c_254521]) ).
tcf(c_276121,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276083,c_155,c_254521]) ).
tcf(c_276129,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276082,c_155,c_254521]) ).
tcf(c_276137,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276073,c_155,c_254521]) ).
tcf(c_276145,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276081,c_155,c_254521]) ).
tcf(c_276153,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276072,c_155,c_254521]) ).
tcf(c_276161,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276071,c_155,c_254521]) ).
tcf(c_276169,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276091,c_196]) ).
tcf(c_276170,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276091,c_199]) ).
tcf(c_276172,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_276091,c_180]) ).
tcf(c_276173,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276091,c_176]) ).
tcf(c_276176,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276173,c_155,c_254521]) ).
tcf(c_276177,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276172,c_155,c_254521]) ).
tcf(c_276181,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276170,c_156,c_155,c_254521]) ).
tcf(c_276182,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276169,c_156,c_155,c_254521]) ).
tcf(c_276185,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_276092,c_194]) ).
tcf(c_276186,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276092,c_165]) ).
tcf(c_276187,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276092,c_173]) ).
tcf(c_276188,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276092,c_193]) ).
tcf(c_276189,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276187,c_155,c_254521]) ).
tcf(c_276192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276188,c_155,c_254521]) ).
tcf(c_276196,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276186,c_155,c_254521]) ).
tcf(c_276197,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276185,c_155,c_254521]) ).
tcf(c_276224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_64]) ).
tcf(c_276225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_62]) ).
tcf(c_276226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_66]) ).
tcf(c_276232,plain,
( doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254638,c_272]) ).
tcf(c_276234,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),sK7(X0,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_64]) ).
tcf(c_276235,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_62]) ).
tcf(c_276236,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| doDivides0(sdtpldt0(sz10,xm),X0)
| sP1(X1,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_66]) ).
tcf(c_276237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254638,c_141]) ).
tcf(c_276238,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254638,c_137]) ).
tcf(c_276239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_254638,c_141]) ).
tcf(c_276240,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_145]) ).
tcf(c_276241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254638,c_139]) ).
tcf(c_276242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254638,c_139]) ).
tcf(c_276243,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254638,c_146]) ).
tcf(c_276244,plain,
doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276232,c_155,c_254521]) ).
tcf(c_276245,plain,
sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276238,c_156,c_155,c_254521]) ).
tcf(c_276246,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276243,c_156,c_155,c_254521]) ).
tcf(c_276250,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276240,c_254526,c_155,c_254521]) ).
tcf(c_276254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276242,c_254526,c_155,c_254521]) ).
tcf(c_276259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276241,c_254526,c_155,c_254521]) ).
tcf(c_276264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276239,c_156,c_155,c_254521]) ).
tcf(c_276269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276237,c_156,c_155,c_254521]) ).
tcf(c_276274,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276226,c_155,c_254521]) ).
tcf(c_276282,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276225,c_155,c_254521]) ).
tcf(c_276290,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| doDivides0(sdtpldt0(sz10,xm),X0)
| sP1(X1,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276236,c_155,c_254521]) ).
tcf(c_276298,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| aNaturalNumber0(sK7(X0,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276235,c_155,c_254521]) ).
tcf(c_276306,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276224,c_155,c_254521]) ).
tcf(c_276314,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(sz10,xm))
| sP1(X1,sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),sK7(X0,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276234,c_155,c_254521]) ).
tcf(c_276322,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276244,c_196]) ).
tcf(c_276323,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276244,c_199]) ).
tcf(c_276326,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK20(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276244,c_176]) ).
tcf(c_276328,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_276244,c_157]) ).
tcf(c_276329,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK20(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276326,c_254521]) ).
tcf(c_276330,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276328,c_155,c_50,c_254521]) ).
tcf(c_276333,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276323,c_254526,c_254521]) ).
tcf(c_276334,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276322,c_254526,c_254521]) ).
tcf(c_276375,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sK19(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276245,c_165]) ).
tcf(c_276378,plain,
sdtpldt0(sdtpldt0(sz10,xm),sK19(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276375,c_254521]) ).
tcf(c_276379,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_64]) ).
tcf(c_276380,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_62]) ).
tcf(c_276381,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_66]) ).
tcf(c_276389,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_64]) ).
tcf(c_276390,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_62]) ).
tcf(c_276391,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_66]) ).
tcf(c_276392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(superposition,[status(thm)],[c_207505,c_141]) ).
tcf(c_276393,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(superposition,[status(thm)],[c_207505,c_137]) ).
tcf(c_276394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(superposition,[status(thm)],[c_207505,c_141]) ).
tcf(c_276395,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_145]) ).
tcf(c_276396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),sz10),X0) ),
inference(superposition,[status(thm)],[c_207505,c_139]) ).
tcf(c_276397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(superposition,[status(thm)],[c_207505,c_139]) ).
tcf(c_276398,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_207505,c_146]) ).
tcf(c_276399,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276393,c_155]) ).
tcf(c_276403,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276395,c_156,c_155]) ).
tcf(c_276408,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276398,c_155]) ).
tcf(c_276414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276397,c_156,c_155]) ).
tcf(c_276420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276396,c_156,c_155]) ).
tcf(c_276426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276394,c_155]) ).
tcf(c_276433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtsldt0(sdtasdt0(xn,xm),sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276392,c_155]) ).
tcf(c_276440,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276391,c_155]) ).
tcf(c_276449,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276390,c_155]) ).
tcf(c_276458,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276389,c_155]) ).
tcf(c_276467,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276381,c_155]) ).
tcf(c_276476,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz10,X0))
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276380,c_155]) ).
tcf(c_276485,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtasdt0(xn,xm),sz10),X0)
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276379,c_155]) ).
tcf(c_276563,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254639,c_65]) ).
tcf(c_276564,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254639,c_63]) ).
tcf(c_276565,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254639,c_67]) ).
tcf(c_276570,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254639,c_275]) ).
tcf(c_276572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254639,c_162]) ).
tcf(c_276575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_254639,c_160]) ).
tcf(c_276576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254639,c_160]) ).
tcf(c_276577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254639,c_167]) ).
tcf(c_276578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254639,c_162]) ).
tcf(c_276579,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254639,c_166]) ).
tcf(c_276580,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276570,c_151,c_254521]) ).
tcf(c_276581,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276579,c_151,c_254521]) ).
tcf(c_276585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276577,c_151,c_254521]) ).
tcf(c_276589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276578,c_151,c_254521]) ).
tcf(c_276594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276572,c_151,c_254521]) ).
tcf(c_276599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276576,c_151,c_254521]) ).
tcf(c_276604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276575,c_151,c_254521]) ).
tcf(c_276610,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276564,c_254641]) ).
tcf(c_276611,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(sz00,X0))
| sP1(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276610,c_151,c_254521]) ).
tcf(c_276618,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276563,c_254641]) ).
tcf(c_276619,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtpldt0(sz10,xm),X0)
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276618,c_151,c_254521]) ).
tcf(c_276626,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00) ),
inference(superposition,[status(thm)],[c_276580,c_194]) ).
tcf(c_276627,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276580,c_165]) ).
tcf(c_276628,plain,
( iLess0(sz00,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276580,c_173]) ).
tcf(c_276629,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_276580,c_193]) ).
tcf(c_276630,plain,
iLess0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_276628,c_254526,c_151,c_254521]) ).
tcf(c_276631,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276629,c_151,c_254521]) ).
tcf(c_276635,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_276627,c_151,c_254521]) ).
tcf(c_276636,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_276626,c_254526,c_151,c_254521]) ).
tcf(c_276639,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_65]) ).
tcf(c_276640,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_63]) ).
tcf(c_276641,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_67]) ).
tcf(c_276648,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(sz10,sz00)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(sz10,xm))
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_65]) ).
tcf(c_276649,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(sz10,sz00))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(sz10,xm))
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_63]) ).
tcf(c_276650,plain,
( sP0(sz00)
| doDivides0(sz00,sz10)
| sP1(xm,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,sdtasdt0(sz10,xm))
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_254640,c_67]) ).
tcf(c_276651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254640,c_162]) ).
tcf(c_276653,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254640,c_157]) ).
tcf(c_276654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254640,c_160]) ).
tcf(c_276655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_254640,c_160]) ).
tcf(c_276656,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254640,c_167]) ).
tcf(c_276657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_254640,c_162]) ).
tcf(c_276658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_254640,c_166]) ).
tcf(c_276659,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276653,c_151,c_254521]) ).
tcf(c_276663,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276658,c_151,c_254521]) ).
tcf(c_276667,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276656,c_151,c_254521]) ).
tcf(c_276671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276655,c_151,c_254521]) ).
tcf(c_276676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276654,c_151,c_254521]) ).
tcf(c_276681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276657,c_151,c_254521]) ).
tcf(c_276686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276651,c_151,c_254521]) ).
tcf(c_276691,plain,
( sP0(sz00)
| doDivides0(sz00,sz10)
| sP1(xm,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276650,c_191076]) ).
tcf(c_276692,plain,
( sP0(sz00)
| doDivides0(sz00,sz10)
| sP1(xm,sz00)
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276691,c_155,c_151,c_50]) ).
tcf(c_276698,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(sz10,sz00))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276649,c_191076]) ).
tcf(c_276699,plain,
( sP0(sz00)
| sP1(xm,sz00)
| aNaturalNumber0(sK7(sz10,sz00))
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276698,c_155,c_151,c_50]) ).
tcf(c_276705,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(sz10,sz00)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276648,c_191076]) ).
tcf(c_276706,plain,
( sP0(sz00)
| sP1(xm,sz00)
| ( sdtasdt0(sz00,sK7(sz10,sz00)) = sz10 )
| ~ doDivides0(sz00,xm)
| ~ iLess0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276705,c_155,c_151,c_50]) ).
tcf(c_276712,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276641,c_254642]) ).
tcf(c_276713,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276712,c_151,c_254521]) ).
tcf(c_276720,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276640,c_254642]) ).
tcf(c_276721,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sdtpldt0(sz10,xm),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276720,c_151,c_254521]) ).
tcf(c_276728,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_276639,c_254642]) ).
tcf(c_276729,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK7(sdtpldt0(sz10,xm),X0)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276728,c_151,c_254521]) ).
tcf(c_276743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xp) = sdtpldt0(xp,sK4(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_191567]) ).
tcf(c_276746,plain,
sdtpldt0(xp,sK8) = sdtpldt0(sK8,xp),
inference(superposition,[status(thm)],[c_73,c_191567]) ).
tcf(c_276747,plain,
sdtpldt0(xp,sK9) = sdtpldt0(sK9,xp),
inference(superposition,[status(thm)],[c_81,c_191567]) ).
tcf(c_276748,plain,
sdtpldt0(xp,sK10) = sdtpldt0(sK10,xp),
inference(superposition,[status(thm)],[c_85,c_191567]) ).
tcf(c_276749,plain,
sdtpldt0(xp,xk) = sdtpldt0(xk,xp),
inference(superposition,[status(thm)],[c_88,c_191567]) ).
tcf(c_276750,plain,
sdtpldt0(xp,xr) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_95,c_191567]) ).
tcf(c_276751,plain,
sdtpldt0(xp,sK11) = sdtpldt0(sK11,xp),
inference(superposition,[status(thm)],[c_96,c_191567]) ).
tcf(c_276752,plain,
sdtpldt0(xp,sK12) = sdtpldt0(sK12,xp),
inference(superposition,[status(thm)],[c_104,c_191567]) ).
tcf(c_276753,plain,
sdtpldt0(xp,sK13) = sdtpldt0(sK13,xp),
inference(superposition,[status(thm)],[c_106,c_191567]) ).
tcf(c_276754,plain,
sdtpldt0(xp,sK14) = sdtpldt0(sK14,xp),
inference(superposition,[status(thm)],[c_110,c_191567]) ).
tcf(c_276756,plain,
( sP2
| ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) ) ),
inference(superposition,[status(thm)],[c_116,c_191567]) ).
tcf(c_276757,plain,
sdtpldt0(xp,sK17) = sdtpldt0(sK17,xp),
inference(superposition,[status(thm)],[c_119,c_191567]) ).
tcf(c_276758,plain,
sdtpldt0(sdtsldt0(xn,xr),xp) = sdtpldt0(xp,sdtsldt0(xn,xr)),
inference(superposition,[status(thm)],[c_125,c_191567]) ).
tcf(c_276759,plain,
sdtpldt0(xp,sK18) = sdtpldt0(sK18,xp),
inference(superposition,[status(thm)],[c_127,c_191567]) ).
tcf(c_276760,plain,
sdtpldt0(xp,sz00) = sdtpldt0(sz00,xp),
inference(superposition,[status(thm)],[c_151,c_191567]) ).
tcf(c_276761,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_155,c_191567]) ).
tcf(c_276762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_191567]) ).
tcf(c_276763,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK19(X0,X1),xp) = sdtpldt0(xp,sK19(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_191567]) ).
tcf(c_276764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_191567]) ).
tcf(c_276765,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK20(X0,X1),xp) = sdtpldt0(xp,sK20(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_191567]) ).
tcf(c_276766,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),xp) = sdtpldt0(xp,sK21(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_191567]) ).
tcf(c_276767,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),xp) = sdtpldt0(xp,sK22(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_191567]) ).
tcf(c_276768,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xp) = sdtpldt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_191567]) ).
tcf(c_276770,plain,
sdtpldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xp,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_191219,c_191567]) ).
tcf(c_276771,plain,
sdtpldt0(sdtpldt0(xn,xp),xp) = sdtpldt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_234461,c_191567]) ).
tcf(c_276772,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_234277,c_191567]) ).
tcf(c_276773,plain,
sdtpldt0(sdtpldt0(xn,sK8),xp) = sdtpldt0(xp,sdtpldt0(xn,sK8)),
inference(superposition,[status(thm)],[c_234636,c_191567]) ).
tcf(c_276774,plain,
sdtpldt0(sdtpldt0(xn,sK10),xp) = sdtpldt0(xp,sdtpldt0(xn,sK10)),
inference(superposition,[status(thm)],[c_234937,c_191567]) ).
tcf(c_276775,plain,
sdtpldt0(sdtpldt0(xn,xk),xp) = sdtpldt0(xp,sdtpldt0(xn,xk)),
inference(superposition,[status(thm)],[c_235068,c_191567]) ).
tcf(c_276776,plain,
sdtpldt0(sdtpldt0(xn,xr),xp) = sdtpldt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_235253,c_191567]) ).
tcf(c_276777,plain,
sdtpldt0(sdtpldt0(xn,sK11),xp) = sdtpldt0(xp,sdtpldt0(xn,sK11)),
inference(superposition,[status(thm)],[c_235479,c_191567]) ).
tcf(c_276778,plain,
sdtpldt0(sdtpldt0(xn,sK12),xp) = sdtpldt0(xp,sdtpldt0(xn,sK12)),
inference(superposition,[status(thm)],[c_235887,c_191567]) ).
tcf(c_276779,plain,
sdtpldt0(sdtpldt0(xn,sK13),xp) = sdtpldt0(xp,sdtpldt0(xn,sK13)),
inference(superposition,[status(thm)],[c_236573,c_191567]) ).
tcf(c_276780,plain,
sdtpldt0(sdtpldt0(xn,sK14),xp) = sdtpldt0(xp,sdtpldt0(xn,sK14)),
inference(superposition,[status(thm)],[c_236704,c_191567]) ).
tcf(c_276781,plain,
sdtpldt0(sdtpldt0(xn,sK17),xp) = sdtpldt0(xp,sdtpldt0(xn,sK17)),
inference(superposition,[status(thm)],[c_236870,c_191567]) ).
tcf(c_276782,plain,
sdtpldt0(sdtpldt0(xn,sK18),xp) = sdtpldt0(xp,sdtpldt0(xn,sK18)),
inference(superposition,[status(thm)],[c_237207,c_191567]) ).
tcf(c_276783,plain,
sdtpldt0(sdtpldt0(xn,sz10),xp) = sdtpldt0(xp,sdtpldt0(xn,sz10)),
inference(superposition,[status(thm)],[c_237361,c_191567]) ).
tcf(c_276784,plain,
sdtpldt0(sdtpldt0(xp,xm),xp) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_251871,c_191567]) ).
tcf(c_276785,plain,
sdtpldt0(sdtpldt0(xm,sK8),xp) = sdtpldt0(xp,sdtpldt0(xm,sK8)),
inference(superposition,[status(thm)],[c_252057,c_191567]) ).
tcf(c_276786,plain,
sdtpldt0(sdtpldt0(xm,sK9),xp) = sdtpldt0(xp,sdtpldt0(xm,sK9)),
inference(superposition,[status(thm)],[c_252262,c_191567]) ).
tcf(c_276787,plain,
sdtpldt0(sdtpldt0(xm,xk),xp) = sdtpldt0(xp,sdtpldt0(xm,xk)),
inference(superposition,[status(thm)],[c_252667,c_191567]) ).
tcf(c_276788,plain,
sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xp,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_252835,c_191567]) ).
tcf(c_276789,plain,
sdtpldt0(sdtpldt0(xm,sK11),xp) = sdtpldt0(xp,sdtpldt0(xm,sK11)),
inference(superposition,[status(thm)],[c_253045,c_191567]) ).
tcf(c_276790,plain,
sdtpldt0(sdtpldt0(xm,sK12),xp) = sdtpldt0(xp,sdtpldt0(xm,sK12)),
inference(superposition,[status(thm)],[c_253223,c_191567]) ).
tcf(c_276791,plain,
sdtpldt0(sdtpldt0(xm,sK13),xp) = sdtpldt0(xp,sdtpldt0(xm,sK13)),
inference(superposition,[status(thm)],[c_253640,c_191567]) ).
tcf(c_276792,plain,
sdtpldt0(sdtpldt0(xm,sK14),xp) = sdtpldt0(xp,sdtpldt0(xm,sK14)),
inference(superposition,[status(thm)],[c_253958,c_191567]) ).
tcf(c_276793,plain,
sdtpldt0(sdtpldt0(xm,sK17),xp) = sdtpldt0(xp,sdtpldt0(xm,sK17)),
inference(superposition,[status(thm)],[c_254171,c_191567]) ).
tcf(c_276794,plain,
sdtpldt0(sdtpldt0(xm,sK18),xp) = sdtpldt0(xp,sdtpldt0(xm,sK18)),
inference(superposition,[status(thm)],[c_254352,c_191567]) ).
tcf(c_276795,plain,
sdtpldt0(sdtpldt0(sz10,xm),xp) = sdtpldt0(xp,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_254521,c_191567]) ).
tcf(c_276841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK7(X0,X2)) = X0 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_64,c_276772]) ).
tcf(c_276842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_62,c_276772]) ).
tcf(c_276843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| doDivides0(X2,X0)
| sP1(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_66,c_276772]) ).
tcf(c_276844,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK7(X0,X2)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_65,c_276772]) ).
tcf(c_276845,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK7(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_63,c_276772]) ).
tcf(c_276846,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| doDivides0(X2,X0)
| sP1(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_67,c_276772]) ).
tcf(c_276993,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_276746,c_144]) ).
tcf(c_276994,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_276746,c_143]) ).
tcf(c_276995,plain,
( sdtlseqdt0(sK8,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276746,c_275]) ).
tcf(c_276996,plain,
( aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276746,c_172]) ).
tcf(c_276997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_276746,c_162]) ).
tcf(c_276998,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276746,c_158]) ).
tcf(c_276999,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_276746,c_157]) ).
tcf(c_277000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sK8,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276746,c_160]) ).
tcf(c_277001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xp,sK8))
| ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276746,c_160]) ).
tcf(c_277002,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_276746,c_167]) ).
tcf(c_277003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,xp))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_276746,c_162]) ).
tcf(c_277004,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_276746,c_166]) ).
tcf(c_277005,plain,
aNaturalNumber0(sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_276996,c_73,c_51]) ).
tcf(c_277006,plain,
sdtlseqdt0(sK8,sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_276995,c_73,c_51]) ).
tcf(c_277010,plain,
sdtpldt0(xp,sK8) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_276993,c_68,c_73,c_51]) ).
tcf(c_277011,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277004,c_73,c_51]) ).
tcf(c_277015,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277002,c_73,c_51]) ).
tcf(c_277019,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276999,c_73,c_51]) ).
tcf(c_277024,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276998,c_73,c_51]) ).
tcf(c_277029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,xp))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277003,c_73,c_51]) ).
tcf(c_277034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xp,sK8))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277001,c_73,c_51]) ).
tcf(c_277039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sK8,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277000,c_73,c_51]) ).
tcf(c_277044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276997,c_73,c_51]) ).
tcf(c_277138,plain,
sdtpldt0(sdtpldt0(xp,sK8),xp) = sdtpldt0(xp,sdtpldt0(xp,sK8)),
inference(superposition,[status(thm)],[c_277005,c_191567]) ).
tcf(c_277139,plain,
sdtpldt0(sdtpldt0(xp,sK8),xm) = sdtpldt0(xm,sdtpldt0(xp,sK8)),
inference(superposition,[status(thm)],[c_277005,c_191566]) ).
tcf(c_277140,plain,
sdtpldt0(sdtpldt0(xp,sK8),xn) = sdtpldt0(xn,sdtpldt0(xp,sK8)),
inference(superposition,[status(thm)],[c_277005,c_191565]) ).
tcf(c_277141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sdtasdt0(X1,sdtpldt0(xp,sK8))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_169]) ).
tcf(c_277142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sdtasdt0(sdtpldt0(xp,sK8),X1)) = sdtasdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_168]) ).
tcf(c_277143,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK8),X0),X1) = sdtasdt0(sdtpldt0(xp,sK8),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_177]) ).
tcf(c_277144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK8),X0),X1) = sdtpldt0(sdtpldt0(xp,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_170]) ).
tcf(c_277145,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK8),X0) = sdtasdt0(X0,sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_178]) ).
tcf(c_277146,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK8),X0) = sdtpldt0(X0,sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_171]) ).
tcf(c_277147,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK8)) = sdtpldt0(xp,sK8),
inference(superposition,[status(thm)],[c_277005,c_154]) ).
tcf(c_277148,plain,
sdtasdt0(sdtpldt0(xp,sK8),sz10) = sdtpldt0(xp,sK8),
inference(superposition,[status(thm)],[c_277005,c_153]) ).
tcf(c_277149,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK8)) = sdtpldt0(xp,sK8),
inference(superposition,[status(thm)],[c_277005,c_150]) ).
tcf(c_277150,plain,
sdtpldt0(sdtpldt0(xp,sK8),sz00) = sdtpldt0(xp,sK8),
inference(superposition,[status(thm)],[c_277005,c_149]) ).
tcf(c_277151,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK8)) = sz00,
inference(superposition,[status(thm)],[c_277005,c_148]) ).
tcf(c_277152,plain,
sdtasdt0(sdtpldt0(xp,sK8),sz00) = sz00,
inference(superposition,[status(thm)],[c_277005,c_147]) ).
tcf(c_277153,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK8)),xn) = sdtpldt0(xp,sK8),
inference(superposition,[status(thm)],[c_277005,c_190836]) ).
tcf(c_277154,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sdtpldt0(xp,sK8)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277005,c_282]) ).
tcf(c_277174,plain,
( ( sdtpldt0(xp,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),sK8) ),
inference(superposition,[status(thm)],[c_277006,c_194]) ).
tcf(c_277175,plain,
( ( sdtpldt0(sK8,sK19(sK8,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277006,c_165]) ).
tcf(c_277176,plain,
( iLess0(sK8,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277006,c_173]) ).
tcf(c_277177,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277006,c_193]) ).
tcf(c_277178,plain,
( iLess0(sK8,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277176,c_73,c_277005]) ).
tcf(c_277181,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277177,c_73,c_277005]) ).
tcf(c_277185,plain,
sdtpldt0(sK8,sK19(sK8,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_277175,c_73,c_277005]) ).
tcf(c_277186,plain,
( ( sdtpldt0(xp,sK8) = sK8 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277174,c_73,c_277005]) ).
tcf(c_277216,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_276747,c_144]) ).
tcf(c_277217,plain,
( ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_276747,c_143]) ).
tcf(c_277218,plain,
( sdtlseqdt0(sK9,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276747,c_275]) ).
tcf(c_277219,plain,
( aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276747,c_172]) ).
tcf(c_277220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_276747,c_162]) ).
tcf(c_277221,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276747,c_158]) ).
tcf(c_277222,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_276747,c_157]) ).
tcf(c_277223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sK9,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276747,c_160]) ).
tcf(c_277224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(xp,sK9))
| ( X0 = xp )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276747,c_160]) ).
tcf(c_277225,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_276747,c_167]) ).
tcf(c_277226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,xp))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_276747,c_162]) ).
tcf(c_277227,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_276747,c_166]) ).
tcf(c_277228,plain,
aNaturalNumber0(sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_277219,c_81,c_51]) ).
tcf(c_277229,plain,
sdtlseqdt0(sK9,sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_277218,c_81,c_51]) ).
tcf(c_277233,plain,
sdtpldt0(xp,sK9) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_277216,c_68,c_81,c_51]) ).
tcf(c_277234,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277227,c_81,c_51]) ).
tcf(c_277238,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277225,c_81,c_51]) ).
tcf(c_277242,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277222,c_81,c_51]) ).
tcf(c_277247,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277221,c_81,c_51]) ).
tcf(c_277252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,xp))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277226,c_81,c_51]) ).
tcf(c_277257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(xp,sK9))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277224,c_81,c_51]) ).
tcf(c_277262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sK9,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277223,c_81,c_51]) ).
tcf(c_277267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277220,c_81,c_51]) ).
tcf(c_278013,plain,
sdtpldt0(sdtpldt0(xp,sK9),xp) = sdtpldt0(xp,sdtpldt0(xp,sK9)),
inference(superposition,[status(thm)],[c_277228,c_191567]) ).
tcf(c_278014,plain,
sdtpldt0(sdtpldt0(xp,sK9),xm) = sdtpldt0(xm,sdtpldt0(xp,sK9)),
inference(superposition,[status(thm)],[c_277228,c_191566]) ).
tcf(c_278015,plain,
sdtpldt0(sdtpldt0(xp,sK9),xn) = sdtpldt0(xn,sdtpldt0(xp,sK9)),
inference(superposition,[status(thm)],[c_277228,c_191565]) ).
tcf(c_278016,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sdtasdt0(X1,sdtpldt0(xp,sK9))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_169]) ).
tcf(c_278017,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sdtasdt0(sdtpldt0(xp,sK9),X1)) = sdtasdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_168]) ).
tcf(c_278018,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK9),X0),X1) = sdtasdt0(sdtpldt0(xp,sK9),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_177]) ).
tcf(c_278019,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK9),X0),X1) = sdtpldt0(sdtpldt0(xp,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_170]) ).
tcf(c_278020,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK9),X0) = sdtasdt0(X0,sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_178]) ).
tcf(c_278021,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK9),X0) = sdtpldt0(X0,sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_171]) ).
tcf(c_278022,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK9)) = sdtpldt0(xp,sK9),
inference(superposition,[status(thm)],[c_277228,c_154]) ).
tcf(c_278023,plain,
sdtasdt0(sdtpldt0(xp,sK9),sz10) = sdtpldt0(xp,sK9),
inference(superposition,[status(thm)],[c_277228,c_153]) ).
tcf(c_278024,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK9)) = sdtpldt0(xp,sK9),
inference(superposition,[status(thm)],[c_277228,c_150]) ).
tcf(c_278025,plain,
sdtpldt0(sdtpldt0(xp,sK9),sz00) = sdtpldt0(xp,sK9),
inference(superposition,[status(thm)],[c_277228,c_149]) ).
tcf(c_278026,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK9)) = sz00,
inference(superposition,[status(thm)],[c_277228,c_148]) ).
tcf(c_278027,plain,
sdtasdt0(sdtpldt0(xp,sK9),sz00) = sz00,
inference(superposition,[status(thm)],[c_277228,c_147]) ).
tcf(c_278028,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK9)),xn) = sdtpldt0(xp,sK9),
inference(superposition,[status(thm)],[c_277228,c_190836]) ).
tcf(c_278029,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sdtpldt0(xp,sK9)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_277228,c_282]) ).
tcf(c_278049,plain,
( ( sdtpldt0(xp,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),sK9) ),
inference(superposition,[status(thm)],[c_277229,c_194]) ).
tcf(c_278050,plain,
( ( sdtpldt0(sK9,sK19(sK9,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_277229,c_165]) ).
tcf(c_278051,plain,
( iLess0(sK9,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_277229,c_173]) ).
tcf(c_278052,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_277229,c_193]) ).
tcf(c_278053,plain,
( iLess0(sK9,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278051,c_81,c_277228]) ).
tcf(c_278056,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278052,c_81,c_277228]) ).
tcf(c_278060,plain,
sdtpldt0(sK9,sK19(sK9,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_278050,c_81,c_277228]) ).
tcf(c_278061,plain,
( ( sdtpldt0(xp,sK9) = sK9 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278049,c_81,c_277228]) ).
tcf(c_278066,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_276748,c_144]) ).
tcf(c_278067,plain,
( ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_276748,c_143]) ).
tcf(c_278068,plain,
( sdtlseqdt0(sK10,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276748,c_275]) ).
tcf(c_278069,plain,
( aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276748,c_172]) ).
tcf(c_278070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_276748,c_162]) ).
tcf(c_278071,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276748,c_158]) ).
tcf(c_278072,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_276748,c_157]) ).
tcf(c_278073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sK10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276748,c_160]) ).
tcf(c_278074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(xp,sK10))
| ( X0 = xp )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276748,c_160]) ).
tcf(c_278075,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_276748,c_167]) ).
tcf(c_278076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,xp))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_276748,c_162]) ).
tcf(c_278077,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_276748,c_166]) ).
tcf(c_278078,plain,
aNaturalNumber0(sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_278069,c_85,c_51]) ).
tcf(c_278079,plain,
sdtlseqdt0(sK10,sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_278068,c_85,c_51]) ).
tcf(c_278083,plain,
sdtpldt0(xp,sK10) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_278066,c_68,c_85,c_51]) ).
tcf(c_278084,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278077,c_85,c_51]) ).
tcf(c_278088,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278075,c_85,c_51]) ).
tcf(c_278092,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278072,c_85,c_51]) ).
tcf(c_278097,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278071,c_85,c_51]) ).
tcf(c_278102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,xp))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278076,c_85,c_51]) ).
tcf(c_278107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(xp,sK10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278074,c_85,c_51]) ).
tcf(c_278112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sK10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278073,c_85,c_51]) ).
tcf(c_278117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278070,c_85,c_51]) ).
tcf(c_278177,plain,
sdtpldt0(sdtpldt0(xp,sK10),xp) = sdtpldt0(xp,sdtpldt0(xp,sK10)),
inference(superposition,[status(thm)],[c_278078,c_191567]) ).
tcf(c_278178,plain,
sdtpldt0(sdtpldt0(xp,sK10),xm) = sdtpldt0(xm,sdtpldt0(xp,sK10)),
inference(superposition,[status(thm)],[c_278078,c_191566]) ).
tcf(c_278179,plain,
sdtpldt0(sdtpldt0(xp,sK10),xn) = sdtpldt0(xn,sdtpldt0(xp,sK10)),
inference(superposition,[status(thm)],[c_278078,c_191565]) ).
tcf(c_278180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sdtasdt0(X1,sdtpldt0(xp,sK10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_169]) ).
tcf(c_278181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sdtasdt0(sdtpldt0(xp,sK10),X1)) = sdtasdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_168]) ).
tcf(c_278182,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK10),X0),X1) = sdtasdt0(sdtpldt0(xp,sK10),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_177]) ).
tcf(c_278183,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK10),X0),X1) = sdtpldt0(sdtpldt0(xp,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_170]) ).
tcf(c_278184,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK10),X0) = sdtasdt0(X0,sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_178]) ).
tcf(c_278185,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK10),X0) = sdtpldt0(X0,sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_171]) ).
tcf(c_278186,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK10)) = sdtpldt0(xp,sK10),
inference(superposition,[status(thm)],[c_278078,c_154]) ).
tcf(c_278187,plain,
sdtasdt0(sdtpldt0(xp,sK10),sz10) = sdtpldt0(xp,sK10),
inference(superposition,[status(thm)],[c_278078,c_153]) ).
tcf(c_278188,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK10)) = sdtpldt0(xp,sK10),
inference(superposition,[status(thm)],[c_278078,c_150]) ).
tcf(c_278189,plain,
sdtpldt0(sdtpldt0(xp,sK10),sz00) = sdtpldt0(xp,sK10),
inference(superposition,[status(thm)],[c_278078,c_149]) ).
tcf(c_278190,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK10)) = sz00,
inference(superposition,[status(thm)],[c_278078,c_148]) ).
tcf(c_278191,plain,
sdtasdt0(sdtpldt0(xp,sK10),sz00) = sz00,
inference(superposition,[status(thm)],[c_278078,c_147]) ).
tcf(c_278192,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK10)),xn) = sdtpldt0(xp,sK10),
inference(superposition,[status(thm)],[c_278078,c_190836]) ).
tcf(c_278193,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sK10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278078,c_282]) ).
tcf(c_278268,plain,
( ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_207635,c_144]) ).
tcf(c_278272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_207635,c_162]) ).
tcf(c_278274,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_207635,c_157]) ).
tcf(c_278275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_207635,c_160]) ).
tcf(c_278276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_207635,c_160]) ).
tcf(c_278277,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_207635,c_167]) ).
tcf(c_278278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_207635,c_162]) ).
tcf(c_278279,plain,
! [X0: $i] :
( ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_207635,c_166]) ).
tcf(c_278280,plain,
( ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278268,c_125]) ).
tcf(c_278284,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278274,c_125]) ).
tcf(c_278289,plain,
! [X0: $i] :
( ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278279,c_125]) ).
tcf(c_278294,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278277,c_125]) ).
tcf(c_278299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278278,c_125]) ).
tcf(c_278305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278272,c_125]) ).
tcf(c_278311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278276,c_125]) ).
tcf(c_278317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK19(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278275,c_125]) ).
tcf(c_278323,plain,
( ( sdtpldt0(xp,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),sK10) ),
inference(superposition,[status(thm)],[c_278079,c_194]) ).
tcf(c_278324,plain,
( ( sdtpldt0(sK10,sK19(sK10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278079,c_165]) ).
tcf(c_278325,plain,
( iLess0(sK10,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278079,c_173]) ).
tcf(c_278326,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278079,c_193]) ).
tcf(c_278327,plain,
( iLess0(sK10,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278325,c_85,c_278078]) ).
tcf(c_278330,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278326,c_85,c_278078]) ).
tcf(c_278334,plain,
sdtpldt0(sK10,sK19(sK10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_278324,c_85,c_278078]) ).
tcf(c_278335,plain,
( ( sdtpldt0(xp,sK10) = sK10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278323,c_85,c_278078]) ).
tcf(c_278341,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_276749,c_143]) ).
tcf(c_278342,plain,
( sdtlseqdt0(xk,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276749,c_275]) ).
tcf(c_278343,plain,
( aNaturalNumber0(sdtpldt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276749,c_172]) ).
tcf(c_278344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_276749,c_162]) ).
tcf(c_278345,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276749,c_158]) ).
tcf(c_278346,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_276749,c_157]) ).
tcf(c_278347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(xk,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276749,c_160]) ).
tcf(c_278348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xp,xk))
| ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276749,c_160]) ).
tcf(c_278349,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_276749,c_167]) ).
tcf(c_278350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,xp))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_276749,c_162]) ).
tcf(c_278351,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_276749,c_166]) ).
tcf(c_278352,plain,
aNaturalNumber0(sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_278343,c_88,c_51]) ).
tcf(c_278353,plain,
sdtlseqdt0(xk,sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_278342,c_88,c_51]) ).
tcf(c_278354,plain,
sdtpldt0(xp,xk) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_278341,c_93,c_88,c_51]) ).
tcf(c_278355,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278351,c_88,c_51]) ).
tcf(c_278359,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278349,c_88,c_51]) ).
tcf(c_278363,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278346,c_88,c_51]) ).
tcf(c_278368,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278345,c_88,c_51]) ).
tcf(c_278373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,xp))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278350,c_88,c_51]) ).
tcf(c_278378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(xp,xk))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278348,c_88,c_51]) ).
tcf(c_278383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(xk,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278347,c_88,c_51]) ).
tcf(c_278388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278344,c_88,c_51]) ).
tcf(c_278393,plain,
sdtpldt0(sdtpldt0(xp,xk),xp) = sdtpldt0(xp,sdtpldt0(xp,xk)),
inference(superposition,[status(thm)],[c_278352,c_191567]) ).
tcf(c_278394,plain,
sdtpldt0(sdtpldt0(xp,xk),xm) = sdtpldt0(xm,sdtpldt0(xp,xk)),
inference(superposition,[status(thm)],[c_278352,c_191566]) ).
tcf(c_278395,plain,
sdtpldt0(sdtpldt0(xp,xk),xn) = sdtpldt0(xn,sdtpldt0(xp,xk)),
inference(superposition,[status(thm)],[c_278352,c_191565]) ).
tcf(c_278396,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sdtasdt0(X1,sdtpldt0(xp,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_169]) ).
tcf(c_278397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xk),X0),sdtasdt0(sdtpldt0(xp,xk),X1)) = sdtasdt0(sdtpldt0(xp,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_168]) ).
tcf(c_278398,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xk),X0),X1) = sdtasdt0(sdtpldt0(xp,xk),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_177]) ).
tcf(c_278399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xk),X0),X1) = sdtpldt0(sdtpldt0(xp,xk),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_170]) ).
tcf(c_278400,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xk),X0) = sdtasdt0(X0,sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_178]) ).
tcf(c_278401,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xk),X0) = sdtpldt0(X0,sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_171]) ).
tcf(c_278402,plain,
sdtasdt0(sz10,sdtpldt0(xp,xk)) = sdtpldt0(xp,xk),
inference(superposition,[status(thm)],[c_278352,c_154]) ).
tcf(c_278403,plain,
sdtasdt0(sdtpldt0(xp,xk),sz10) = sdtpldt0(xp,xk),
inference(superposition,[status(thm)],[c_278352,c_153]) ).
tcf(c_278404,plain,
sdtpldt0(sz00,sdtpldt0(xp,xk)) = sdtpldt0(xp,xk),
inference(superposition,[status(thm)],[c_278352,c_150]) ).
tcf(c_278405,plain,
sdtpldt0(sdtpldt0(xp,xk),sz00) = sdtpldt0(xp,xk),
inference(superposition,[status(thm)],[c_278352,c_149]) ).
tcf(c_278406,plain,
sdtasdt0(sz00,sdtpldt0(xp,xk)) = sz00,
inference(superposition,[status(thm)],[c_278352,c_148]) ).
tcf(c_278407,plain,
sdtasdt0(sdtpldt0(xp,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_278352,c_147]) ).
tcf(c_278408,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,xk)),xn) = sdtpldt0(xp,xk),
inference(superposition,[status(thm)],[c_278352,c_190836]) ).
tcf(c_278409,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xk)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278352,c_282]) ).
tcf(c_278429,plain,
( ( sdtpldt0(xp,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),xk) ),
inference(superposition,[status(thm)],[c_278353,c_194]) ).
tcf(c_278430,plain,
( ( sdtpldt0(xk,sK19(xk,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278353,c_165]) ).
tcf(c_278431,plain,
( iLess0(xk,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278353,c_173]) ).
tcf(c_278432,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278353,c_193]) ).
tcf(c_278433,plain,
( iLess0(xk,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278431,c_88,c_278352]) ).
tcf(c_278436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278432,c_88,c_278352]) ).
tcf(c_278440,plain,
sdtpldt0(xk,sK19(xk,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_278430,c_88,c_278352]) ).
tcf(c_278441,plain,
( ( sdtpldt0(xp,xk) = xk )
| ~ sdtlseqdt0(sdtpldt0(xp,xk),xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278429,c_88,c_278352]) ).
tcf(c_278447,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xr,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_276750,c_143]) ).
tcf(c_278448,plain,
( sdtlseqdt0(xp,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276750,c_275]) ).
tcf(c_278449,plain,
( aNaturalNumber0(sdtpldt0(xr,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276750,c_172]) ).
tcf(c_278450,plain,
( ~ aNaturalNumber0(xr)
| ( sdtpldt0(xr,xp) != xm ) ),
inference(superposition,[status(thm)],[c_276750,c_78]) ).
tcf(c_278451,plain,
( ~ aNaturalNumber0(xr)
| ( sdtpldt0(xr,xp) != xn ) ),
inference(superposition,[status(thm)],[c_276750,c_76]) ).
tcf(c_278452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276750,c_162]) ).
tcf(c_278453,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276750,c_158]) ).
tcf(c_278454,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_276750,c_157]) ).
tcf(c_278455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_276750,c_160]) ).
tcf(c_278456,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xr,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_276750,c_160]) ).
tcf(c_278457,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_276750,c_167]) ).
tcf(c_278458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276750,c_162]) ).
tcf(c_278459,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_276750,c_166]) ).
tcf(c_278460,plain,
sdtpldt0(xr,xp) != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_278451,c_95]) ).
tcf(c_278461,plain,
sdtpldt0(xr,xp) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_278450,c_95]) ).
tcf(c_278462,plain,
aNaturalNumber0(sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_278449,c_95,c_51]) ).
tcf(c_278463,plain,
sdtlseqdt0(xp,sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_278448,c_95,c_51]) ).
tcf(c_278464,plain,
sdtpldt0(xr,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_278447,c_68,c_95,c_51]) ).
tcf(c_278465,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278459,c_95,c_51]) ).
tcf(c_278469,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278457,c_95,c_51]) ).
tcf(c_278473,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278454,c_95,c_51]) ).
tcf(c_278478,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278453,c_95,c_51]) ).
tcf(c_278483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278458,c_95,c_51]) ).
tcf(c_278488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xr,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278456,c_95,c_51]) ).
tcf(c_278493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278455,c_95,c_51]) ).
tcf(c_278498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278452,c_95,c_51]) ).
tcf(c_278511,plain,
sdtpldt0(sdtpldt0(xr,xp),xp) = sdtpldt0(xp,sdtpldt0(xr,xp)),
inference(superposition,[status(thm)],[c_278462,c_191567]) ).
tcf(c_278512,plain,
sdtpldt0(sdtpldt0(xr,xp),xm) = sdtpldt0(xm,sdtpldt0(xr,xp)),
inference(superposition,[status(thm)],[c_278462,c_191566]) ).
tcf(c_278513,plain,
sdtpldt0(sdtpldt0(xr,xp),xn) = sdtpldt0(xn,sdtpldt0(xr,xp)),
inference(superposition,[status(thm)],[c_278462,c_191565]) ).
tcf(c_278514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sdtasdt0(X1,sdtpldt0(xr,xp))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_169]) ).
tcf(c_278515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xr,xp),X0),sdtasdt0(sdtpldt0(xr,xp),X1)) = sdtasdt0(sdtpldt0(xr,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_168]) ).
tcf(c_278516,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xr,xp),X0),X1) = sdtasdt0(sdtpldt0(xr,xp),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_177]) ).
tcf(c_278517,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xp),X0),X1) = sdtpldt0(sdtpldt0(xr,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_170]) ).
tcf(c_278518,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xr,xp),X0) = sdtasdt0(X0,sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_178]) ).
tcf(c_278519,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xr,xp),X0) = sdtpldt0(X0,sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_171]) ).
tcf(c_278520,plain,
sdtasdt0(sz10,sdtpldt0(xr,xp)) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_278462,c_154]) ).
tcf(c_278521,plain,
sdtasdt0(sdtpldt0(xr,xp),sz10) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_278462,c_153]) ).
tcf(c_278522,plain,
sdtpldt0(sz00,sdtpldt0(xr,xp)) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_278462,c_150]) ).
tcf(c_278523,plain,
sdtpldt0(sdtpldt0(xr,xp),sz00) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_278462,c_149]) ).
tcf(c_278524,plain,
sdtasdt0(sz00,sdtpldt0(xr,xp)) = sz00,
inference(superposition,[status(thm)],[c_278462,c_148]) ).
tcf(c_278525,plain,
sdtasdt0(sdtpldt0(xr,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_278462,c_147]) ).
tcf(c_278526,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xr,xp)),xn) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_278462,c_190836]) ).
tcf(c_278527,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xr,xp),X0),sdtpldt0(xr,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278462,c_282]) ).
tcf(c_278606,plain,
( ( sdtpldt0(xr,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),xp) ),
inference(superposition,[status(thm)],[c_278463,c_194]) ).
tcf(c_278607,plain,
( ( sdtpldt0(xp,sK19(xp,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278463,c_165]) ).
tcf(c_278608,plain,
( iLess0(xp,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278463,c_173]) ).
tcf(c_278609,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278463,c_193]) ).
tcf(c_278610,plain,
( iLess0(xp,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278608,c_51,c_278462]) ).
tcf(c_278613,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278609,c_51,c_278462]) ).
tcf(c_278617,plain,
sdtpldt0(xp,sK19(xp,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_278607,c_51,c_278462]) ).
tcf(c_278618,plain,
( ( sdtpldt0(xr,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xr,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278606,c_51,c_278462]) ).
tcf(c_278623,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_276751,c_144]) ).
tcf(c_278624,plain,
( ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_276751,c_143]) ).
tcf(c_278625,plain,
( sdtlseqdt0(sK11,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276751,c_275]) ).
tcf(c_278626,plain,
( aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276751,c_172]) ).
tcf(c_278627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_276751,c_162]) ).
tcf(c_278628,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276751,c_158]) ).
tcf(c_278629,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_276751,c_157]) ).
tcf(c_278630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sK11,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276751,c_160]) ).
tcf(c_278631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xp,sK11))
| ( X0 = xp )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276751,c_160]) ).
tcf(c_278632,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_276751,c_167]) ).
tcf(c_278633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,xp))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_276751,c_162]) ).
tcf(c_278634,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_276751,c_166]) ).
tcf(c_278635,plain,
aNaturalNumber0(sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_278626,c_96,c_51]) ).
tcf(c_278636,plain,
sdtlseqdt0(sK11,sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_278625,c_96,c_51]) ).
tcf(c_278640,plain,
sdtpldt0(xp,sK11) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_278623,c_68,c_96,c_51]) ).
tcf(c_278641,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278634,c_96,c_51]) ).
tcf(c_278645,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278632,c_96,c_51]) ).
tcf(c_278649,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278629,c_96,c_51]) ).
tcf(c_278654,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278628,c_96,c_51]) ).
tcf(c_278659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,xp))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278633,c_96,c_51]) ).
tcf(c_278664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(xp,sK11))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278631,c_96,c_51]) ).
tcf(c_278669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sK11,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278630,c_96,c_51]) ).
tcf(c_278674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278627,c_96,c_51]) ).
tcf(c_278726,plain,
sdtpldt0(sdtpldt0(xp,sK11),xp) = sdtpldt0(xp,sdtpldt0(xp,sK11)),
inference(superposition,[status(thm)],[c_278635,c_191567]) ).
tcf(c_278727,plain,
sdtpldt0(sdtpldt0(xp,sK11),xm) = sdtpldt0(xm,sdtpldt0(xp,sK11)),
inference(superposition,[status(thm)],[c_278635,c_191566]) ).
tcf(c_278728,plain,
sdtpldt0(sdtpldt0(xp,sK11),xn) = sdtpldt0(xn,sdtpldt0(xp,sK11)),
inference(superposition,[status(thm)],[c_278635,c_191565]) ).
tcf(c_278729,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sdtasdt0(X1,sdtpldt0(xp,sK11))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_169]) ).
tcf(c_278730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sdtasdt0(sdtpldt0(xp,sK11),X1)) = sdtasdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_168]) ).
tcf(c_278731,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK11),X0),X1) = sdtasdt0(sdtpldt0(xp,sK11),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_177]) ).
tcf(c_278732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK11),X0),X1) = sdtpldt0(sdtpldt0(xp,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_170]) ).
tcf(c_278733,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK11),X0) = sdtasdt0(X0,sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_178]) ).
tcf(c_278734,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK11),X0) = sdtpldt0(X0,sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_171]) ).
tcf(c_278735,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK11)) = sdtpldt0(xp,sK11),
inference(superposition,[status(thm)],[c_278635,c_154]) ).
tcf(c_278736,plain,
sdtasdt0(sdtpldt0(xp,sK11),sz10) = sdtpldt0(xp,sK11),
inference(superposition,[status(thm)],[c_278635,c_153]) ).
tcf(c_278737,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK11)) = sdtpldt0(xp,sK11),
inference(superposition,[status(thm)],[c_278635,c_150]) ).
tcf(c_278738,plain,
sdtpldt0(sdtpldt0(xp,sK11),sz00) = sdtpldt0(xp,sK11),
inference(superposition,[status(thm)],[c_278635,c_149]) ).
tcf(c_278739,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK11)) = sz00,
inference(superposition,[status(thm)],[c_278635,c_148]) ).
tcf(c_278740,plain,
sdtasdt0(sdtpldt0(xp,sK11),sz00) = sz00,
inference(superposition,[status(thm)],[c_278635,c_147]) ).
tcf(c_278741,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK11)),xn) = sdtpldt0(xp,sK11),
inference(superposition,[status(thm)],[c_278635,c_190836]) ).
tcf(c_278742,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sdtpldt0(xp,sK11)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278635,c_282]) ).
tcf(c_278861,plain,
( ( sdtpldt0(xp,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),sK11) ),
inference(superposition,[status(thm)],[c_278636,c_194]) ).
tcf(c_278862,plain,
( ( sdtpldt0(sK11,sK19(sK11,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278636,c_165]) ).
tcf(c_278863,plain,
( iLess0(sK11,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278636,c_173]) ).
tcf(c_278864,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278636,c_193]) ).
tcf(c_278865,plain,
( iLess0(sK11,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sK11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278863,c_96,c_278635]) ).
tcf(c_278868,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278864,c_96,c_278635]) ).
tcf(c_278872,plain,
sdtpldt0(sK11,sK19(sK11,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_278862,c_96,c_278635]) ).
tcf(c_278873,plain,
( ( sdtpldt0(xp,sK11) = sK11 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278861,c_96,c_278635]) ).
tcf(c_278883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209234,c_141]) ).
tcf(c_278885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209234,c_141]) ).
tcf(c_278886,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_209234,c_145]) ).
tcf(c_278887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_209234,c_139]) ).
tcf(c_278888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209234,c_139]) ).
tcf(c_278889,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_209234,c_146]) ).
tcf(c_278890,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278886,c_125]) ).
tcf(c_278896,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278889,c_125]) ).
tcf(c_278902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278888,c_125]) ).
tcf(c_278909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278887,c_125]) ).
tcf(c_278916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278885,c_125]) ).
tcf(c_278923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ( sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK20(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278883,c_125]) ).
tcf(c_278932,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_276752,c_144]) ).
tcf(c_278933,plain,
( ( sz00 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK12) != sz00 ) ),
inference(superposition,[status(thm)],[c_276752,c_143]) ).
tcf(c_278934,plain,
( sdtlseqdt0(sK12,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276752,c_275]) ).
tcf(c_278935,plain,
( aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276752,c_172]) ).
tcf(c_278936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(superposition,[status(thm)],[c_276752,c_162]) ).
tcf(c_278937,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276752,c_158]) ).
tcf(c_278938,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_276752,c_157]) ).
tcf(c_278939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sK12,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276752,c_160]) ).
tcf(c_278940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xp,sK12))
| ( X0 = xp )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276752,c_160]) ).
tcf(c_278941,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_276752,c_167]) ).
tcf(c_278942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,xp))
| ( X0 = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(superposition,[status(thm)],[c_276752,c_162]) ).
tcf(c_278943,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_276752,c_166]) ).
tcf(c_278944,plain,
aNaturalNumber0(sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_278935,c_104,c_51]) ).
tcf(c_278945,plain,
sdtlseqdt0(sK12,sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_278934,c_104,c_51]) ).
tcf(c_278949,plain,
sdtpldt0(xp,sK12) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_278932,c_68,c_104,c_51]) ).
tcf(c_278950,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK12,X0) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278943,c_104,c_51]) ).
tcf(c_278954,plain,
! [X0: $i] :
( ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278941,c_104,c_51]) ).
tcf(c_278958,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278938,c_104,c_51]) ).
tcf(c_278963,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK12)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278937,c_104,c_51]) ).
tcf(c_278968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,xp))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278942,c_104,c_51]) ).
tcf(c_278973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK12,X0),sdtpldt0(xp,sK12))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278940,c_104,c_51]) ).
tcf(c_278978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sK12,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278939,c_104,c_51]) ).
tcf(c_278983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK12))
| ( X0 = sK12 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278936,c_104,c_51]) ).
tcf(c_279044,plain,
sdtpldt0(sdtpldt0(xp,sK12),xp) = sdtpldt0(xp,sdtpldt0(xp,sK12)),
inference(superposition,[status(thm)],[c_278944,c_191567]) ).
tcf(c_279045,plain,
sdtpldt0(sdtpldt0(xp,sK12),xm) = sdtpldt0(xm,sdtpldt0(xp,sK12)),
inference(superposition,[status(thm)],[c_278944,c_191566]) ).
tcf(c_279046,plain,
sdtpldt0(sdtpldt0(xp,sK12),xn) = sdtpldt0(xn,sdtpldt0(xp,sK12)),
inference(superposition,[status(thm)],[c_278944,c_191565]) ).
tcf(c_279047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sdtasdt0(X1,sdtpldt0(xp,sK12))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_169]) ).
tcf(c_279048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sdtasdt0(sdtpldt0(xp,sK12),X1)) = sdtasdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_168]) ).
tcf(c_279049,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK12),X0),X1) = sdtasdt0(sdtpldt0(xp,sK12),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_177]) ).
tcf(c_279050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK12),X0),X1) = sdtpldt0(sdtpldt0(xp,sK12),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_170]) ).
tcf(c_279051,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK12),X0) = sdtasdt0(X0,sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_178]) ).
tcf(c_279052,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK12),X0) = sdtpldt0(X0,sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_171]) ).
tcf(c_279053,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK12)) = sdtpldt0(xp,sK12),
inference(superposition,[status(thm)],[c_278944,c_154]) ).
tcf(c_279054,plain,
sdtasdt0(sdtpldt0(xp,sK12),sz10) = sdtpldt0(xp,sK12),
inference(superposition,[status(thm)],[c_278944,c_153]) ).
tcf(c_279055,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK12)) = sdtpldt0(xp,sK12),
inference(superposition,[status(thm)],[c_278944,c_150]) ).
tcf(c_279056,plain,
sdtpldt0(sdtpldt0(xp,sK12),sz00) = sdtpldt0(xp,sK12),
inference(superposition,[status(thm)],[c_278944,c_149]) ).
tcf(c_279057,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK12)) = sz00,
inference(superposition,[status(thm)],[c_278944,c_148]) ).
tcf(c_279058,plain,
sdtasdt0(sdtpldt0(xp,sK12),sz00) = sz00,
inference(superposition,[status(thm)],[c_278944,c_147]) ).
tcf(c_279059,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK12)),xn) = sdtpldt0(xp,sK12),
inference(superposition,[status(thm)],[c_278944,c_190836]) ).
tcf(c_279060,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sdtpldt0(xp,sK12)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_278944,c_282]) ).
tcf(c_279080,plain,
( ( sdtpldt0(xp,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),sK12) ),
inference(superposition,[status(thm)],[c_278945,c_194]) ).
tcf(c_279081,plain,
( ( sdtpldt0(sK12,sK19(sK12,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_278945,c_165]) ).
tcf(c_279082,plain,
( iLess0(sK12,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sK12 )
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_278945,c_173]) ).
tcf(c_279083,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_278945,c_193]) ).
tcf(c_279084,plain,
( iLess0(sK12,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sK12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279082,c_104,c_278944]) ).
tcf(c_279087,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279083,c_104,c_278944]) ).
tcf(c_279091,plain,
sdtpldt0(sK12,sK19(sK12,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_279081,c_104,c_278944]) ).
tcf(c_279092,plain,
( ( sdtpldt0(xp,sK12) = sK12 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),sK12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279080,c_104,c_278944]) ).
tcf(c_279097,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_276753,c_144]) ).
tcf(c_279098,plain,
( ( sz00 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK13) != sz00 ) ),
inference(superposition,[status(thm)],[c_276753,c_143]) ).
tcf(c_279099,plain,
( sdtlseqdt0(sK13,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276753,c_275]) ).
tcf(c_279100,plain,
( aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276753,c_172]) ).
tcf(c_279101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(superposition,[status(thm)],[c_276753,c_162]) ).
tcf(c_279102,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276753,c_158]) ).
tcf(c_279103,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_276753,c_157]) ).
tcf(c_279104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sK13,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276753,c_160]) ).
tcf(c_279105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xp,sK13))
| ( X0 = xp )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276753,c_160]) ).
tcf(c_279106,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_276753,c_167]) ).
tcf(c_279107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,xp))
| ( X0 = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(superposition,[status(thm)],[c_276753,c_162]) ).
tcf(c_279108,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_276753,c_166]) ).
tcf(c_279109,plain,
aNaturalNumber0(sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_279100,c_106,c_51]) ).
tcf(c_279110,plain,
sdtlseqdt0(sK13,sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_279099,c_106,c_51]) ).
tcf(c_279114,plain,
sdtpldt0(xp,sK13) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_279097,c_68,c_106,c_51]) ).
tcf(c_279115,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK13,X0) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279108,c_106,c_51]) ).
tcf(c_279119,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279106,c_106,c_51]) ).
tcf(c_279123,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279103,c_106,c_51]) ).
tcf(c_279128,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK13)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279102,c_106,c_51]) ).
tcf(c_279133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,xp))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279107,c_106,c_51]) ).
tcf(c_279138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK13,X0),sdtpldt0(xp,sK13))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279105,c_106,c_51]) ).
tcf(c_279143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sK13,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279104,c_106,c_51]) ).
tcf(c_279148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK13))
| ( X0 = sK13 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279101,c_106,c_51]) ).
tcf(c_279213,plain,
sdtpldt0(sdtpldt0(xp,sK13),xp) = sdtpldt0(xp,sdtpldt0(xp,sK13)),
inference(superposition,[status(thm)],[c_279109,c_191567]) ).
tcf(c_279214,plain,
sdtpldt0(sdtpldt0(xp,sK13),xm) = sdtpldt0(xm,sdtpldt0(xp,sK13)),
inference(superposition,[status(thm)],[c_279109,c_191566]) ).
tcf(c_279215,plain,
sdtpldt0(sdtpldt0(xp,sK13),xn) = sdtpldt0(xn,sdtpldt0(xp,sK13)),
inference(superposition,[status(thm)],[c_279109,c_191565]) ).
tcf(c_279216,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sdtasdt0(X1,sdtpldt0(xp,sK13))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_169]) ).
tcf(c_279217,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sdtasdt0(sdtpldt0(xp,sK13),X1)) = sdtasdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_168]) ).
tcf(c_279218,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK13),X0),X1) = sdtasdt0(sdtpldt0(xp,sK13),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_177]) ).
tcf(c_279219,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK13),X0),X1) = sdtpldt0(sdtpldt0(xp,sK13),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_170]) ).
tcf(c_279220,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK13),X0) = sdtasdt0(X0,sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_178]) ).
tcf(c_279221,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK13),X0) = sdtpldt0(X0,sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_171]) ).
tcf(c_279222,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK13)) = sdtpldt0(xp,sK13),
inference(superposition,[status(thm)],[c_279109,c_154]) ).
tcf(c_279223,plain,
sdtasdt0(sdtpldt0(xp,sK13),sz10) = sdtpldt0(xp,sK13),
inference(superposition,[status(thm)],[c_279109,c_153]) ).
tcf(c_279224,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK13)) = sdtpldt0(xp,sK13),
inference(superposition,[status(thm)],[c_279109,c_150]) ).
tcf(c_279225,plain,
sdtpldt0(sdtpldt0(xp,sK13),sz00) = sdtpldt0(xp,sK13),
inference(superposition,[status(thm)],[c_279109,c_149]) ).
tcf(c_279226,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK13)) = sz00,
inference(superposition,[status(thm)],[c_279109,c_148]) ).
tcf(c_279227,plain,
sdtasdt0(sdtpldt0(xp,sK13),sz00) = sz00,
inference(superposition,[status(thm)],[c_279109,c_147]) ).
tcf(c_279228,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK13)),xn) = sdtpldt0(xp,sK13),
inference(superposition,[status(thm)],[c_279109,c_190836]) ).
tcf(c_279229,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sdtpldt0(xp,sK13)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279109,c_282]) ).
tcf(c_279249,plain,
( ( sdtpldt0(xp,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),sK13) ),
inference(superposition,[status(thm)],[c_279110,c_194]) ).
tcf(c_279250,plain,
( ( sdtpldt0(sK13,sK19(sK13,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279110,c_165]) ).
tcf(c_279251,plain,
( iLess0(sK13,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sK13 )
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279110,c_173]) ).
tcf(c_279252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279110,c_193]) ).
tcf(c_279253,plain,
( iLess0(sK13,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sK13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279251,c_106,c_279109]) ).
tcf(c_279256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279252,c_106,c_279109]) ).
tcf(c_279260,plain,
sdtpldt0(sK13,sK19(sK13,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_279250,c_106,c_279109]) ).
tcf(c_279261,plain,
( ( sdtpldt0(xp,sK13) = sK13 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279249,c_106,c_279109]) ).
tcf(c_279266,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_276754,c_144]) ).
tcf(c_279267,plain,
( ( sz00 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK14) != sz00 ) ),
inference(superposition,[status(thm)],[c_276754,c_143]) ).
tcf(c_279268,plain,
( sdtlseqdt0(sK14,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276754,c_275]) ).
tcf(c_279269,plain,
( aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276754,c_172]) ).
tcf(c_279270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(superposition,[status(thm)],[c_276754,c_162]) ).
tcf(c_279271,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276754,c_158]) ).
tcf(c_279272,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_276754,c_157]) ).
tcf(c_279273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sK14,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276754,c_160]) ).
tcf(c_279274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xp,sK14))
| ( X0 = xp )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276754,c_160]) ).
tcf(c_279275,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_276754,c_167]) ).
tcf(c_279276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,xp))
| ( X0 = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(superposition,[status(thm)],[c_276754,c_162]) ).
tcf(c_279277,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_276754,c_166]) ).
tcf(c_279278,plain,
aNaturalNumber0(sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_279269,c_110,c_51]) ).
tcf(c_279279,plain,
sdtlseqdt0(sK14,sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_279268,c_110,c_51]) ).
tcf(c_279283,plain,
sdtpldt0(xp,sK14) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_279266,c_68,c_110,c_51]) ).
tcf(c_279284,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK14,X0) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279277,c_110,c_51]) ).
tcf(c_279288,plain,
! [X0: $i] :
( ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279275,c_110,c_51]) ).
tcf(c_279292,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279272,c_110,c_51]) ).
tcf(c_279297,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK14)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279271,c_110,c_51]) ).
tcf(c_279302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,xp))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279276,c_110,c_51]) ).
tcf(c_279307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK14,X0),sdtpldt0(xp,sK14))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279274,c_110,c_51]) ).
tcf(c_279312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sK14,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279273,c_110,c_51]) ).
tcf(c_279317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK14))
| ( X0 = sK14 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279270,c_110,c_51]) ).
tcf(c_279322,plain,
sdtpldt0(sdtpldt0(xp,sK14),xp) = sdtpldt0(xp,sdtpldt0(xp,sK14)),
inference(superposition,[status(thm)],[c_279278,c_191567]) ).
tcf(c_279323,plain,
sdtpldt0(sdtpldt0(xp,sK14),xm) = sdtpldt0(xm,sdtpldt0(xp,sK14)),
inference(superposition,[status(thm)],[c_279278,c_191566]) ).
tcf(c_279324,plain,
sdtpldt0(sdtpldt0(xp,sK14),xn) = sdtpldt0(xn,sdtpldt0(xp,sK14)),
inference(superposition,[status(thm)],[c_279278,c_191565]) ).
tcf(c_279325,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sdtasdt0(X1,sdtpldt0(xp,sK14))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_169]) ).
tcf(c_279326,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sdtasdt0(sdtpldt0(xp,sK14),X1)) = sdtasdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_168]) ).
tcf(c_279327,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK14),X0),X1) = sdtasdt0(sdtpldt0(xp,sK14),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_177]) ).
tcf(c_279328,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK14),X0),X1) = sdtpldt0(sdtpldt0(xp,sK14),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_170]) ).
tcf(c_279329,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK14),X0) = sdtasdt0(X0,sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_178]) ).
tcf(c_279330,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK14),X0) = sdtpldt0(X0,sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_171]) ).
tcf(c_279331,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK14)) = sdtpldt0(xp,sK14),
inference(superposition,[status(thm)],[c_279278,c_154]) ).
tcf(c_279332,plain,
sdtasdt0(sdtpldt0(xp,sK14),sz10) = sdtpldt0(xp,sK14),
inference(superposition,[status(thm)],[c_279278,c_153]) ).
tcf(c_279333,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK14)) = sdtpldt0(xp,sK14),
inference(superposition,[status(thm)],[c_279278,c_150]) ).
tcf(c_279334,plain,
sdtpldt0(sdtpldt0(xp,sK14),sz00) = sdtpldt0(xp,sK14),
inference(superposition,[status(thm)],[c_279278,c_149]) ).
tcf(c_279335,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK14)) = sz00,
inference(superposition,[status(thm)],[c_279278,c_148]) ).
tcf(c_279336,plain,
sdtasdt0(sdtpldt0(xp,sK14),sz00) = sz00,
inference(superposition,[status(thm)],[c_279278,c_147]) ).
tcf(c_279337,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK14)),xn) = sdtpldt0(xp,sK14),
inference(superposition,[status(thm)],[c_279278,c_190836]) ).
tcf(c_279338,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sdtpldt0(xp,sK14)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279278,c_282]) ).
tcf(c_279399,plain,
( ( sdtpldt0(xp,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),sK14) ),
inference(superposition,[status(thm)],[c_279279,c_194]) ).
tcf(c_279400,plain,
( ( sdtpldt0(sK14,sK19(sK14,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279279,c_165]) ).
tcf(c_279401,plain,
( iLess0(sK14,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sK14 )
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279279,c_173]) ).
tcf(c_279402,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279279,c_193]) ).
tcf(c_279403,plain,
( iLess0(sK14,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sK14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279401,c_110,c_279278]) ).
tcf(c_279406,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279402,c_110,c_279278]) ).
tcf(c_279410,plain,
sdtpldt0(sK14,sK19(sK14,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_279400,c_110,c_279278]) ).
tcf(c_279411,plain,
( ( sdtpldt0(xp,sK14) = sK14 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279399,c_110,c_279278]) ).
tcf(c_279475,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_276757,c_144]) ).
tcf(c_279476,plain,
( ( sz00 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK17) != sz00 ) ),
inference(superposition,[status(thm)],[c_276757,c_143]) ).
tcf(c_279477,plain,
( sdtlseqdt0(sK17,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276757,c_275]) ).
tcf(c_279478,plain,
( aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276757,c_172]) ).
tcf(c_279479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(superposition,[status(thm)],[c_276757,c_162]) ).
tcf(c_279480,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276757,c_158]) ).
tcf(c_279481,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_276757,c_157]) ).
tcf(c_279482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sK17,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276757,c_160]) ).
tcf(c_279483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xp,sK17))
| ( X0 = xp )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276757,c_160]) ).
tcf(c_279484,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_276757,c_167]) ).
tcf(c_279485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,xp))
| ( X0 = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(superposition,[status(thm)],[c_276757,c_162]) ).
tcf(c_279486,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_276757,c_166]) ).
tcf(c_279487,plain,
aNaturalNumber0(sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_279478,c_119,c_51]) ).
tcf(c_279488,plain,
sdtlseqdt0(sK17,sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_279477,c_119,c_51]) ).
tcf(c_279492,plain,
sdtpldt0(xp,sK17) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_279475,c_68,c_119,c_51]) ).
tcf(c_279493,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK17,X0) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279486,c_119,c_51]) ).
tcf(c_279497,plain,
! [X0: $i] :
( ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279484,c_119,c_51]) ).
tcf(c_279501,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279481,c_119,c_51]) ).
tcf(c_279506,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK17)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279480,c_119,c_51]) ).
tcf(c_279511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,xp))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279485,c_119,c_51]) ).
tcf(c_279516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK17,X0),sdtpldt0(xp,sK17))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279483,c_119,c_51]) ).
tcf(c_279521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sK17,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279482,c_119,c_51]) ).
tcf(c_279526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK17))
| ( X0 = sK17 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279479,c_119,c_51]) ).
tcf(c_279531,plain,
sdtpldt0(sdtpldt0(xp,sK17),xp) = sdtpldt0(xp,sdtpldt0(xp,sK17)),
inference(superposition,[status(thm)],[c_279487,c_191567]) ).
tcf(c_279532,plain,
sdtpldt0(sdtpldt0(xp,sK17),xm) = sdtpldt0(xm,sdtpldt0(xp,sK17)),
inference(superposition,[status(thm)],[c_279487,c_191566]) ).
tcf(c_279533,plain,
sdtpldt0(sdtpldt0(xp,sK17),xn) = sdtpldt0(xn,sdtpldt0(xp,sK17)),
inference(superposition,[status(thm)],[c_279487,c_191565]) ).
tcf(c_279534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sdtasdt0(X1,sdtpldt0(xp,sK17))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_169]) ).
tcf(c_279535,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sdtasdt0(sdtpldt0(xp,sK17),X1)) = sdtasdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_168]) ).
tcf(c_279536,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK17),X0),X1) = sdtasdt0(sdtpldt0(xp,sK17),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_177]) ).
tcf(c_279537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK17),X0),X1) = sdtpldt0(sdtpldt0(xp,sK17),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_170]) ).
tcf(c_279538,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK17),X0) = sdtasdt0(X0,sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_178]) ).
tcf(c_279539,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK17),X0) = sdtpldt0(X0,sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_171]) ).
tcf(c_279540,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK17)) = sdtpldt0(xp,sK17),
inference(superposition,[status(thm)],[c_279487,c_154]) ).
tcf(c_279541,plain,
sdtasdt0(sdtpldt0(xp,sK17),sz10) = sdtpldt0(xp,sK17),
inference(superposition,[status(thm)],[c_279487,c_153]) ).
tcf(c_279542,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK17)) = sdtpldt0(xp,sK17),
inference(superposition,[status(thm)],[c_279487,c_150]) ).
tcf(c_279543,plain,
sdtpldt0(sdtpldt0(xp,sK17),sz00) = sdtpldt0(xp,sK17),
inference(superposition,[status(thm)],[c_279487,c_149]) ).
tcf(c_279544,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK17)) = sz00,
inference(superposition,[status(thm)],[c_279487,c_148]) ).
tcf(c_279545,plain,
sdtasdt0(sdtpldt0(xp,sK17),sz00) = sz00,
inference(superposition,[status(thm)],[c_279487,c_147]) ).
tcf(c_279546,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK17)),xn) = sdtpldt0(xp,sK17),
inference(superposition,[status(thm)],[c_279487,c_190836]) ).
tcf(c_279547,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sdtpldt0(xp,sK17)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279487,c_282]) ).
tcf(c_279567,plain,
( ( sdtpldt0(xp,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),sK17) ),
inference(superposition,[status(thm)],[c_279488,c_194]) ).
tcf(c_279568,plain,
( ( sdtpldt0(sK17,sK19(sK17,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279488,c_165]) ).
tcf(c_279569,plain,
( iLess0(sK17,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sK17 )
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279488,c_173]) ).
tcf(c_279570,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279488,c_193]) ).
tcf(c_279571,plain,
( iLess0(sK17,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sK17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279569,c_119,c_279487]) ).
tcf(c_279574,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279570,c_119,c_279487]) ).
tcf(c_279578,plain,
sdtpldt0(sK17,sK19(sK17,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_279568,c_119,c_279487]) ).
tcf(c_279579,plain,
( ( sdtpldt0(xp,sK17) = sK17 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),sK17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279567,c_119,c_279487]) ).
tcf(c_279593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209235,c_141]) ).
tcf(c_279595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209235,c_141]) ).
tcf(c_279596,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_209235,c_145]) ).
tcf(c_279597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_209235,c_139]) ).
tcf(c_279598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_209235,c_139]) ).
tcf(c_279599,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_209235,c_146]) ).
tcf(c_279600,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279596,c_125]) ).
tcf(c_279606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279598,c_125]) ).
tcf(c_279613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279597,c_125]) ).
tcf(c_279620,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279599,c_125]) ).
tcf(c_279627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279595,c_125]) ).
tcf(c_279635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279593,c_125]) ).
tcf(c_279731,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_276759,c_144]) ).
tcf(c_279732,plain,
( ( sz00 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK18) != sz00 ) ),
inference(superposition,[status(thm)],[c_276759,c_143]) ).
tcf(c_279733,plain,
( sdtlseqdt0(sK18,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276759,c_275]) ).
tcf(c_279734,plain,
( aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276759,c_172]) ).
tcf(c_279735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(superposition,[status(thm)],[c_276759,c_162]) ).
tcf(c_279736,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276759,c_158]) ).
tcf(c_279737,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_276759,c_157]) ).
tcf(c_279738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sK18,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276759,c_160]) ).
tcf(c_279739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xp,sK18))
| ( X0 = xp )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276759,c_160]) ).
tcf(c_279740,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_276759,c_167]) ).
tcf(c_279741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,xp))
| ( X0 = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(superposition,[status(thm)],[c_276759,c_162]) ).
tcf(c_279742,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_276759,c_166]) ).
tcf(c_279743,plain,
aNaturalNumber0(sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_279734,c_127,c_51]) ).
tcf(c_279744,plain,
sdtlseqdt0(sK18,sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_279733,c_127,c_51]) ).
tcf(c_279748,plain,
sdtpldt0(xp,sK18) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_279731,c_68,c_127,c_51]) ).
tcf(c_279749,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK18,X0) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279742,c_127,c_51]) ).
tcf(c_279753,plain,
! [X0: $i] :
( ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279740,c_127,c_51]) ).
tcf(c_279757,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279737,c_127,c_51]) ).
tcf(c_279762,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK18)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279736,c_127,c_51]) ).
tcf(c_279767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,xp))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279741,c_127,c_51]) ).
tcf(c_279772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK18,X0),sdtpldt0(xp,sK18))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279739,c_127,c_51]) ).
tcf(c_279777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sK18,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279738,c_127,c_51]) ).
tcf(c_279782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK18))
| ( X0 = sK18 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279735,c_127,c_51]) ).
tcf(c_279787,plain,
sdtpldt0(sdtpldt0(xp,sK18),xp) = sdtpldt0(xp,sdtpldt0(xp,sK18)),
inference(superposition,[status(thm)],[c_279743,c_191567]) ).
tcf(c_279788,plain,
sdtpldt0(sdtpldt0(xp,sK18),xm) = sdtpldt0(xm,sdtpldt0(xp,sK18)),
inference(superposition,[status(thm)],[c_279743,c_191566]) ).
tcf(c_279789,plain,
sdtpldt0(sdtpldt0(xp,sK18),xn) = sdtpldt0(xn,sdtpldt0(xp,sK18)),
inference(superposition,[status(thm)],[c_279743,c_191565]) ).
tcf(c_279790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sdtasdt0(X1,sdtpldt0(xp,sK18))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_169]) ).
tcf(c_279791,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sdtasdt0(sdtpldt0(xp,sK18),X1)) = sdtasdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_168]) ).
tcf(c_279792,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK18),X0),X1) = sdtasdt0(sdtpldt0(xp,sK18),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_177]) ).
tcf(c_279793,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK18),X0),X1) = sdtpldt0(sdtpldt0(xp,sK18),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_170]) ).
tcf(c_279794,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK18),X0) = sdtasdt0(X0,sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_178]) ).
tcf(c_279795,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK18),X0) = sdtpldt0(X0,sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_171]) ).
tcf(c_279796,plain,
sdtasdt0(sz10,sdtpldt0(xp,sK18)) = sdtpldt0(xp,sK18),
inference(superposition,[status(thm)],[c_279743,c_154]) ).
tcf(c_279797,plain,
sdtasdt0(sdtpldt0(xp,sK18),sz10) = sdtpldt0(xp,sK18),
inference(superposition,[status(thm)],[c_279743,c_153]) ).
tcf(c_279798,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK18)) = sdtpldt0(xp,sK18),
inference(superposition,[status(thm)],[c_279743,c_150]) ).
tcf(c_279799,plain,
sdtpldt0(sdtpldt0(xp,sK18),sz00) = sdtpldt0(xp,sK18),
inference(superposition,[status(thm)],[c_279743,c_149]) ).
tcf(c_279800,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK18)) = sz00,
inference(superposition,[status(thm)],[c_279743,c_148]) ).
tcf(c_279801,plain,
sdtasdt0(sdtpldt0(xp,sK18),sz00) = sz00,
inference(superposition,[status(thm)],[c_279743,c_147]) ).
tcf(c_279802,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sK18)),xn) = sdtpldt0(xp,sK18),
inference(superposition,[status(thm)],[c_279743,c_190836]) ).
tcf(c_279803,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sdtpldt0(xp,sK18)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_279743,c_282]) ).
tcf(c_279986,plain,
( ( sdtpldt0(xp,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),sK18) ),
inference(superposition,[status(thm)],[c_279744,c_194]) ).
tcf(c_279987,plain,
( ( sdtpldt0(sK18,sK19(sK18,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279744,c_165]) ).
tcf(c_279988,plain,
( iLess0(sK18,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sK18 )
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279744,c_173]) ).
tcf(c_279989,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279744,c_193]) ).
tcf(c_279990,plain,
( iLess0(sK18,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sK18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279988,c_127,c_279743]) ).
tcf(c_279993,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279989,c_127,c_279743]) ).
tcf(c_279997,plain,
sdtpldt0(sK18,sK19(sK18,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_279987,c_127,c_279743]) ).
tcf(c_279998,plain,
( ( sdtpldt0(xp,sK18) = sK18 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279986,c_127,c_279743]) ).
tcf(c_280004,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_276761,c_143]) ).
tcf(c_280005,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276761,c_275]) ).
tcf(c_280006,plain,
( aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_276761,c_172]) ).
tcf(c_280007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_276761,c_162]) ).
tcf(c_280008,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_276761,c_158]) ).
tcf(c_280009,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_276761,c_157]) ).
tcf(c_280010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_276761,c_160]) ).
tcf(c_280011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtpldt0(xp,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_276761,c_160]) ).
tcf(c_280012,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_276761,c_167]) ).
tcf(c_280013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_276761,c_162]) ).
tcf(c_280014,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_276761,c_166]) ).
tcf(c_280015,plain,
aNaturalNumber0(sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_280006,c_155,c_51]) ).
tcf(c_280016,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_280005,c_155,c_51]) ).
tcf(c_280017,plain,
sdtpldt0(xp,sz10) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280004,c_156,c_155,c_51]) ).
tcf(c_280018,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280014,c_155,c_51]) ).
tcf(c_280022,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280012,c_155,c_51]) ).
tcf(c_280026,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280009,c_155,c_51]) ).
tcf(c_280031,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280008,c_155,c_51]) ).
tcf(c_280036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280013,c_155,c_51]) ).
tcf(c_280041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtpldt0(xp,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280011,c_155,c_51]) ).
tcf(c_280046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280010,c_155,c_51]) ).
tcf(c_280051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280007,c_155,c_51]) ).
tcf(c_280137,plain,
sdtpldt0(sdtpldt0(xp,sz10),xp) = sdtpldt0(xp,sdtpldt0(xp,sz10)),
inference(superposition,[status(thm)],[c_280015,c_191567]) ).
tcf(c_280138,plain,
sdtpldt0(sdtpldt0(xp,sz10),xm) = sdtpldt0(xm,sdtpldt0(xp,sz10)),
inference(superposition,[status(thm)],[c_280015,c_191566]) ).
tcf(c_280139,plain,
sdtpldt0(sdtpldt0(xp,sz10),xn) = sdtpldt0(xn,sdtpldt0(xp,sz10)),
inference(superposition,[status(thm)],[c_280015,c_191565]) ).
tcf(c_280140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sdtasdt0(X1,sdtpldt0(xp,sz10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_169]) ).
tcf(c_280141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sdtasdt0(sdtpldt0(xp,sz10),X1)) = sdtasdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_168]) ).
tcf(c_280142,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sz10),X0),X1) = sdtasdt0(sdtpldt0(xp,sz10),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_177]) ).
tcf(c_280143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sz10),X0),X1) = sdtpldt0(sdtpldt0(xp,sz10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_170]) ).
tcf(c_280144,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sz10),X0) = sdtasdt0(X0,sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_178]) ).
tcf(c_280145,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sz10),X0) = sdtpldt0(X0,sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_171]) ).
tcf(c_280146,plain,
sdtasdt0(sz10,sdtpldt0(xp,sz10)) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_280015,c_154]) ).
tcf(c_280147,plain,
sdtasdt0(sdtpldt0(xp,sz10),sz10) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_280015,c_153]) ).
tcf(c_280148,plain,
sdtpldt0(sz00,sdtpldt0(xp,sz10)) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_280015,c_150]) ).
tcf(c_280149,plain,
sdtpldt0(sdtpldt0(xp,sz10),sz00) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_280015,c_149]) ).
tcf(c_280150,plain,
sdtasdt0(sz00,sdtpldt0(xp,sz10)) = sz00,
inference(superposition,[status(thm)],[c_280015,c_148]) ).
tcf(c_280151,plain,
sdtasdt0(sdtpldt0(xp,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_280015,c_147]) ).
tcf(c_280152,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xp,sz10)),xn) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_280015,c_190836]) ).
tcf(c_280153,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sdtpldt0(xp,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_280015,c_282]) ).
tcf(c_280199,plain,
( ( sdtpldt0(xp,sz10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),sz10) ),
inference(superposition,[status(thm)],[c_280016,c_194]) ).
tcf(c_280200,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280016,c_165]) ).
tcf(c_280201,plain,
( iLess0(sz10,sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280016,c_173]) ).
tcf(c_280202,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280016,c_193]) ).
tcf(c_280203,plain,
( iLess0(sz10,sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280201,c_155,c_280015]) ).
tcf(c_280206,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280202,c_155,c_280015]) ).
tcf(c_280210,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_280200,c_155,c_280015]) ).
tcf(c_280211,plain,
( ( sdtpldt0(xp,sz10) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280199,c_155,c_280015]) ).
tcf(c_280221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277151,c_141]) ).
tcf(c_280223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277151,c_141]) ).
tcf(c_280227,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(X0,sdtpldt0(xp,sK8)) != sz00 ) ),
inference(superposition,[status(thm)],[c_277151,c_146]) ).
tcf(c_280228,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK8)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280227,c_277010,c_151,c_277005]) ).
tcf(c_280232,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280223,c_277010,c_151,c_277005]) ).
tcf(c_280237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280221,c_277010,c_151,c_277005]) ).
tcf(c_280247,plain,
( doDivides0(sdtpldt0(xp,sK8),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277152,c_272]) ).
tcf(c_280252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(sdtpldt0(xp,sK8),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_277152,c_145]) ).
tcf(c_280253,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277152,c_139]) ).
tcf(c_280254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277152,c_139]) ).
tcf(c_280256,plain,
doDivides0(sdtpldt0(xp,sK8),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280247,c_151,c_277005]) ).
tcf(c_280257,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK8),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280252,c_277010,c_151,c_277005]) ).
tcf(c_280261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280254,c_277010,c_151,c_277005]) ).
tcf(c_280266,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280253,c_277010,c_151,c_277005]) ).
tcf(c_280353,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_280256,c_196]) ).
tcf(c_280354,plain,
( ( sdtpldt0(xp,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK8),sdtsldt0(sz00,sdtpldt0(xp,sK8))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_280256,c_199]) ).
tcf(c_280356,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK8),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_280256,c_180]) ).
tcf(c_280357,plain,
( ( sdtasdt0(sdtpldt0(xp,sK8),sK20(sdtpldt0(xp,sK8),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_280256,c_176]) ).
tcf(c_280359,plain,
sdtasdt0(sdtpldt0(xp,sK8),sK20(sdtpldt0(xp,sK8),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280357,c_151,c_277005]) ).
tcf(c_280360,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK8),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280356,c_151,c_277005]) ).
tcf(c_280364,plain,
sdtasdt0(sdtpldt0(xp,sK8),sdtsldt0(sz00,sdtpldt0(xp,sK8))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280354,c_277010,c_151,c_277005]) ).
tcf(c_280365,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK8))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280353,c_277010,c_151,c_277005]) ).
tcf(c_280375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278026,c_141]) ).
tcf(c_280377,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278026,c_141]) ).
tcf(c_280381,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(X0,sdtpldt0(xp,sK9)) != sz00 ) ),
inference(superposition,[status(thm)],[c_278026,c_146]) ).
tcf(c_280382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK9)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280381,c_277233,c_151,c_277228]) ).
tcf(c_280386,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280377,c_277233,c_151,c_277228]) ).
tcf(c_280391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280375,c_277233,c_151,c_277228]) ).
tcf(c_280401,plain,
( doDivides0(sdtpldt0(xp,sK9),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278027,c_272]) ).
tcf(c_280406,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(sdtpldt0(xp,sK9),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_278027,c_145]) ).
tcf(c_280407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278027,c_139]) ).
tcf(c_280408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278027,c_139]) ).
tcf(c_280410,plain,
doDivides0(sdtpldt0(xp,sK9),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280401,c_151,c_277228]) ).
tcf(c_280411,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK9),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280406,c_277233,c_151,c_277228]) ).
tcf(c_280415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280408,c_277233,c_151,c_277228]) ).
tcf(c_280420,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280407,c_277233,c_151,c_277228]) ).
tcf(c_280425,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK9))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_280410,c_196]) ).
tcf(c_280426,plain,
( ( sdtpldt0(xp,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK9),sdtsldt0(sz00,sdtpldt0(xp,sK9))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_280410,c_199]) ).
tcf(c_280428,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK9),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_280410,c_180]) ).
tcf(c_280429,plain,
( ( sdtasdt0(sdtpldt0(xp,sK9),sK20(sdtpldt0(xp,sK9),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_280410,c_176]) ).
tcf(c_280431,plain,
sdtasdt0(sdtpldt0(xp,sK9),sK20(sdtpldt0(xp,sK9),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280429,c_151,c_277228]) ).
tcf(c_280432,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK9),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280428,c_151,c_277228]) ).
tcf(c_280436,plain,
sdtasdt0(sdtpldt0(xp,sK9),sdtsldt0(sz00,sdtpldt0(xp,sK9))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280426,c_277233,c_151,c_277228]) ).
tcf(c_280437,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK9))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280425,c_277233,c_151,c_277228]) ).
tcf(c_280473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278190,c_141]) ).
tcf(c_280475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278190,c_141]) ).
tcf(c_280479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(X0,sdtpldt0(xp,sK10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_278190,c_146]) ).
tcf(c_280480,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280479,c_278083,c_151,c_278078]) ).
tcf(c_280484,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280475,c_278083,c_151,c_278078]) ).
tcf(c_280489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280473,c_278083,c_151,c_278078]) ).
tcf(c_280499,plain,
( doDivides0(sdtpldt0(xp,sK10),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278191,c_272]) ).
tcf(c_280504,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(sdtpldt0(xp,sK10),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_278191,c_145]) ).
tcf(c_280505,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278191,c_139]) ).
tcf(c_280506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278191,c_139]) ).
tcf(c_280508,plain,
doDivides0(sdtpldt0(xp,sK10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280499,c_151,c_278078]) ).
tcf(c_280509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK10),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280504,c_278083,c_151,c_278078]) ).
tcf(c_280513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280506,c_278083,c_151,c_278078]) ).
tcf(c_280518,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280505,c_278083,c_151,c_278078]) ).
tcf(c_280533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xm)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(superposition,[status(thm)],[c_209359,c_162]) ).
tcf(c_280534,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ doDivides0(X0,sK19(sz10,xm)) ),
inference(superposition,[status(thm)],[c_209359,c_158]) ).
tcf(c_280535,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(superposition,[status(thm)],[c_209359,c_157]) ).
tcf(c_280536,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ sdtlseqdt0(sK19(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_209359,c_160]) ).
tcf(c_280537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ sdtlseqdt0(X0,sK19(sz10,xm)) ),
inference(superposition,[status(thm)],[c_209359,c_160]) ).
tcf(c_280538,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ( sdtpldt0(X0,sK19(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_209359,c_167]) ).
tcf(c_280539,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(sz10,xm)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(superposition,[status(thm)],[c_209359,c_162]) ).
tcf(c_280540,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_209359,c_166]) ).
tcf(c_280541,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280540,c_155]) ).
tcf(c_280547,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ( sdtpldt0(X0,sK19(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280538,c_155]) ).
tcf(c_280553,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz10,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280535,c_155]) ).
tcf(c_280560,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ doDivides0(X0,sK19(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280534,c_155]) ).
tcf(c_280567,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK19(sz10,xm)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280539,c_155]) ).
tcf(c_280574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz10,xm)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK19(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280533,c_155]) ).
tcf(c_280581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ sdtlseqdt0(X0,sK19(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280537,c_155]) ).
tcf(c_280588,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sK19(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz10,xm))
| ~ sdtlseqdt0(sK19(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280536,c_155]) ).
tcf(c_280595,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_280508,c_196]) ).
tcf(c_280596,plain,
( ( sdtpldt0(xp,sK10) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK10),sdtsldt0(sz00,sdtpldt0(xp,sK10))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_280508,c_199]) ).
tcf(c_280598,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_280508,c_180]) ).
tcf(c_280599,plain,
( ( sdtasdt0(sdtpldt0(xp,sK10),sK20(sdtpldt0(xp,sK10),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_280508,c_176]) ).
tcf(c_280601,plain,
sdtasdt0(sdtpldt0(xp,sK10),sK20(sdtpldt0(xp,sK10),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280599,c_151,c_278078]) ).
tcf(c_280602,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280598,c_151,c_278078]) ).
tcf(c_280606,plain,
sdtasdt0(sdtpldt0(xp,sK10),sdtsldt0(sz00,sdtpldt0(xp,sK10))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280596,c_278083,c_151,c_278078]) ).
tcf(c_280607,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280595,c_278083,c_151,c_278078]) ).
tcf(c_280617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278406,c_141]) ).
tcf(c_280619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278406,c_141]) ).
tcf(c_280623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(X0,sdtpldt0(xp,xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_278406,c_146]) ).
tcf(c_280624,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280623,c_278354,c_151,c_278352]) ).
tcf(c_280628,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280619,c_278354,c_151,c_278352]) ).
tcf(c_280633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280617,c_278354,c_151,c_278352]) ).
tcf(c_280657,plain,
( doDivides0(sdtpldt0(xp,xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278407,c_272]) ).
tcf(c_280662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(sdtpldt0(xp,xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_278407,c_145]) ).
tcf(c_280663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278407,c_139]) ).
tcf(c_280664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xk),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278407,c_139]) ).
tcf(c_280666,plain,
doDivides0(sdtpldt0(xp,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280657,c_151,c_278352]) ).
tcf(c_280667,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280662,c_278354,c_151,c_278352]) ).
tcf(c_280671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xk),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280664,c_278354,c_151,c_278352]) ).
tcf(c_280676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280663,c_278354,c_151,c_278352]) ).
tcf(c_280681,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_280666,c_196]) ).
tcf(c_280682,plain,
( ( sdtpldt0(xp,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xk),sdtsldt0(sz00,sdtpldt0(xp,xk))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_280666,c_199]) ).
tcf(c_280684,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_280666,c_180]) ).
tcf(c_280685,plain,
( ( sdtasdt0(sdtpldt0(xp,xk),sK20(sdtpldt0(xp,xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_280666,c_176]) ).
tcf(c_280687,plain,
sdtasdt0(sdtpldt0(xp,xk),sK20(sdtpldt0(xp,xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280685,c_151,c_278352]) ).
tcf(c_280688,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280684,c_151,c_278352]) ).
tcf(c_280692,plain,
sdtasdt0(sdtpldt0(xp,xk),sdtsldt0(sz00,sdtpldt0(xp,xk))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280682,c_278354,c_151,c_278352]) ).
tcf(c_280693,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xk))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280681,c_278354,c_151,c_278352]) ).
tcf(c_280764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278524,c_141]) ).
tcf(c_280766,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278524,c_141]) ).
tcf(c_280770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(X0,sdtpldt0(xr,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_278524,c_146]) ).
tcf(c_280771,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280770,c_278464,c_151,c_278462]) ).
tcf(c_280775,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280766,c_278464,c_151,c_278462]) ).
tcf(c_280780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280764,c_278464,c_151,c_278462]) ).
tcf(c_280804,plain,
( doDivides0(sdtpldt0(xr,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278525,c_272]) ).
tcf(c_280809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(sdtpldt0(xr,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_278525,c_145]) ).
tcf(c_280810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278525,c_139]) ).
tcf(c_280811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278525,c_139]) ).
tcf(c_280813,plain,
doDivides0(sdtpldt0(xr,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280804,c_151,c_278462]) ).
tcf(c_280814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280809,c_278464,c_151,c_278462]) ).
tcf(c_280818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280811,c_278464,c_151,c_278462]) ).
tcf(c_280823,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280810,c_278464,c_151,c_278462]) ).
tcf(c_280838,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_280813,c_196]) ).
tcf(c_280839,plain,
( ( sdtpldt0(xr,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xp),sdtsldt0(sz00,sdtpldt0(xr,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_280813,c_199]) ).
tcf(c_280841,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xr,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_280813,c_180]) ).
tcf(c_280842,plain,
( ( sdtasdt0(sdtpldt0(xr,xp),sK20(sdtpldt0(xr,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_280813,c_176]) ).
tcf(c_280844,plain,
sdtasdt0(sdtpldt0(xr,xp),sK20(sdtpldt0(xr,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280842,c_151,c_278462]) ).
tcf(c_280845,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xr,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280841,c_151,c_278462]) ).
tcf(c_280849,plain,
sdtasdt0(sdtpldt0(xr,xp),sdtsldt0(sz00,sdtpldt0(xr,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280839,c_278464,c_151,c_278462]) ).
tcf(c_280850,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280838,c_278464,c_151,c_278462]) ).
tcf(c_280865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278739,c_141]) ).
tcf(c_280867,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278739,c_141]) ).
tcf(c_280871,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(X0,sdtpldt0(xp,sK11)) != sz00 ) ),
inference(superposition,[status(thm)],[c_278739,c_146]) ).
tcf(c_280872,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK11)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280871,c_278640,c_151,c_278635]) ).
tcf(c_280876,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280867,c_278640,c_151,c_278635]) ).
tcf(c_280881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280865,c_278640,c_151,c_278635]) ).
tcf(c_280937,plain,
( doDivides0(sdtpldt0(xp,sK11),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278740,c_272]) ).
tcf(c_280942,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(sdtpldt0(xp,sK11),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_278740,c_145]) ).
tcf(c_280943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278740,c_139]) ).
tcf(c_280944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278740,c_139]) ).
tcf(c_280946,plain,
doDivides0(sdtpldt0(xp,sK11),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_280937,c_151,c_278635]) ).
tcf(c_280947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK11),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280942,c_278640,c_151,c_278635]) ).
tcf(c_280951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280944,c_278640,c_151,c_278635]) ).
tcf(c_280956,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280943,c_278640,c_151,c_278635]) ).
tcf(c_280961,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_280946,c_196]) ).
tcf(c_280962,plain,
( ( sdtpldt0(xp,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK11),sdtsldt0(sz00,sdtpldt0(xp,sK11))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_280946,c_199]) ).
tcf(c_280964,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK11),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_280946,c_180]) ).
tcf(c_280965,plain,
( ( sdtasdt0(sdtpldt0(xp,sK11),sK20(sdtpldt0(xp,sK11),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_280946,c_176]) ).
tcf(c_280967,plain,
sdtasdt0(sdtpldt0(xp,sK11),sK20(sdtpldt0(xp,sK11),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280965,c_151,c_278635]) ).
tcf(c_280968,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK11),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280964,c_151,c_278635]) ).
tcf(c_280972,plain,
sdtasdt0(sdtpldt0(xp,sK11),sdtsldt0(sz00,sdtpldt0(xp,sK11))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_280962,c_278640,c_151,c_278635]) ).
tcf(c_280973,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK11))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280961,c_278640,c_151,c_278635]) ).
tcf(c_280983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279057,c_141]) ).
tcf(c_280985,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279057,c_141]) ).
tcf(c_280989,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(X0,sdtpldt0(xp,sK12)) != sz00 ) ),
inference(superposition,[status(thm)],[c_279057,c_146]) ).
tcf(c_280990,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK12)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280989,c_278949,c_151,c_278944]) ).
tcf(c_280994,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280985,c_278949,c_151,c_278944]) ).
tcf(c_280999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280983,c_278949,c_151,c_278944]) ).
tcf(c_281025,plain,
( doDivides0(sdtpldt0(xp,sK12),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279058,c_272]) ).
tcf(c_281030,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(sdtpldt0(xp,sK12),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_279058,c_145]) ).
tcf(c_281031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279058,c_139]) ).
tcf(c_281032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279058,c_139]) ).
tcf(c_281034,plain,
doDivides0(sdtpldt0(xp,sK12),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281025,c_151,c_278944]) ).
tcf(c_281035,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK12),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281030,c_278949,c_151,c_278944]) ).
tcf(c_281039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281032,c_278949,c_151,c_278944]) ).
tcf(c_281044,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281031,c_278949,c_151,c_278944]) ).
tcf(c_281049,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_281034,c_196]) ).
tcf(c_281050,plain,
( ( sdtpldt0(xp,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK12),sdtsldt0(sz00,sdtpldt0(xp,sK12))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_281034,c_199]) ).
tcf(c_281052,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK12),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_281034,c_180]) ).
tcf(c_281053,plain,
( ( sdtasdt0(sdtpldt0(xp,sK12),sK20(sdtpldt0(xp,sK12),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_281034,c_176]) ).
tcf(c_281055,plain,
sdtasdt0(sdtpldt0(xp,sK12),sK20(sdtpldt0(xp,sK12),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281053,c_151,c_278944]) ).
tcf(c_281056,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK12),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281052,c_151,c_278944]) ).
tcf(c_281060,plain,
sdtasdt0(sdtpldt0(xp,sK12),sdtsldt0(sz00,sdtpldt0(xp,sK12))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281050,c_278949,c_151,c_278944]) ).
tcf(c_281061,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK12))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281049,c_278949,c_151,c_278944]) ).
tcf(c_281083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279226,c_141]) ).
tcf(c_281085,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279226,c_141]) ).
tcf(c_281089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(X0,sdtpldt0(xp,sK13)) != sz00 ) ),
inference(superposition,[status(thm)],[c_279226,c_146]) ).
tcf(c_281090,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK13)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281089,c_279114,c_151,c_279109]) ).
tcf(c_281094,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281085,c_279114,c_151,c_279109]) ).
tcf(c_281099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281083,c_279114,c_151,c_279109]) ).
tcf(c_281109,plain,
( doDivides0(sdtpldt0(xp,sK13),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279227,c_272]) ).
tcf(c_281114,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(sdtpldt0(xp,sK13),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_279227,c_145]) ).
tcf(c_281115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279227,c_139]) ).
tcf(c_281116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279227,c_139]) ).
tcf(c_281118,plain,
doDivides0(sdtpldt0(xp,sK13),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281109,c_151,c_279109]) ).
tcf(c_281119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK13),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281114,c_279114,c_151,c_279109]) ).
tcf(c_281123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281116,c_279114,c_151,c_279109]) ).
tcf(c_281128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281115,c_279114,c_151,c_279109]) ).
tcf(c_281175,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_281118,c_196]) ).
tcf(c_281176,plain,
( ( sdtpldt0(xp,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK13),sdtsldt0(sz00,sdtpldt0(xp,sK13))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_281118,c_199]) ).
tcf(c_281178,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK13),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_281118,c_180]) ).
tcf(c_281179,plain,
( ( sdtasdt0(sdtpldt0(xp,sK13),sK20(sdtpldt0(xp,sK13),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_281118,c_176]) ).
tcf(c_281181,plain,
sdtasdt0(sdtpldt0(xp,sK13),sK20(sdtpldt0(xp,sK13),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281179,c_151,c_279109]) ).
tcf(c_281182,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK13),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281178,c_151,c_279109]) ).
tcf(c_281186,plain,
sdtasdt0(sdtpldt0(xp,sK13),sdtsldt0(sz00,sdtpldt0(xp,sK13))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281176,c_279114,c_151,c_279109]) ).
tcf(c_281187,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK13))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281175,c_279114,c_151,c_279109]) ).
tcf(c_281225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209674,c_162]) ).
tcf(c_281226,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sK19(sz00,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209674,c_158]) ).
tcf(c_281227,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209674,c_157]) ).
tcf(c_281228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(sz00,sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_209674,c_160]) ).
tcf(c_281229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(sz00,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209674,c_160]) ).
tcf(c_281230,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209674,c_167]) ).
tcf(c_281231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209674,c_162]) ).
tcf(c_281232,plain,
! [X0: $i] :
( ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209674,c_166]) ).
tcf(c_281233,plain,
! [X0: $i] :
( ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281232,c_151]) ).
tcf(c_281238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281230,c_151]) ).
tcf(c_281243,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sz00,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281227,c_151]) ).
tcf(c_281249,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sK19(sz00,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281226,c_151]) ).
tcf(c_281255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281231,c_151]) ).
tcf(c_281261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sz00,sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281225,c_151]) ).
tcf(c_281267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(sz00,sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281229,c_151]) ).
tcf(c_281273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sK19(sz00,sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sz00,sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(sz00,sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281228,c_151]) ).
tcf(c_281388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279335,c_141]) ).
tcf(c_281390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279335,c_141]) ).
tcf(c_281394,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(X0,sdtpldt0(xp,sK14)) != sz00 ) ),
inference(superposition,[status(thm)],[c_279335,c_146]) ).
tcf(c_281395,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK14)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281394,c_279283,c_151,c_279278]) ).
tcf(c_281399,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281390,c_279283,c_151,c_279278]) ).
tcf(c_281404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281388,c_279283,c_151,c_279278]) ).
tcf(c_281414,plain,
( doDivides0(sdtpldt0(xp,sK14),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279336,c_272]) ).
tcf(c_281419,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(sdtpldt0(xp,sK14),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_279336,c_145]) ).
tcf(c_281420,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279336,c_139]) ).
tcf(c_281421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279336,c_139]) ).
tcf(c_281423,plain,
doDivides0(sdtpldt0(xp,sK14),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281414,c_151,c_279278]) ).
tcf(c_281424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK14),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281419,c_279283,c_151,c_279278]) ).
tcf(c_281428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281421,c_279283,c_151,c_279278]) ).
tcf(c_281433,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281420,c_279283,c_151,c_279278]) ).
tcf(c_281493,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_281423,c_196]) ).
tcf(c_281494,plain,
( ( sdtpldt0(xp,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK14),sdtsldt0(sz00,sdtpldt0(xp,sK14))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_281423,c_199]) ).
tcf(c_281496,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK14),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_281423,c_180]) ).
tcf(c_281497,plain,
( ( sdtasdt0(sdtpldt0(xp,sK14),sK20(sdtpldt0(xp,sK14),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_281423,c_176]) ).
tcf(c_281499,plain,
sdtasdt0(sdtpldt0(xp,sK14),sK20(sdtpldt0(xp,sK14),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281497,c_151,c_279278]) ).
tcf(c_281500,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK14),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281496,c_151,c_279278]) ).
tcf(c_281504,plain,
sdtasdt0(sdtpldt0(xp,sK14),sdtsldt0(sz00,sdtpldt0(xp,sK14))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281494,c_279283,c_151,c_279278]) ).
tcf(c_281505,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK14))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281493,c_279283,c_151,c_279278]) ).
tcf(c_281532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279544,c_141]) ).
tcf(c_281534,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279544,c_141]) ).
tcf(c_281538,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(X0,sdtpldt0(xp,sK17)) != sz00 ) ),
inference(superposition,[status(thm)],[c_279544,c_146]) ).
tcf(c_281539,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK17)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281538,c_279492,c_151,c_279487]) ).
tcf(c_281543,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281534,c_279492,c_151,c_279487]) ).
tcf(c_281548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281532,c_279492,c_151,c_279487]) ).
tcf(c_281562,plain,
( doDivides0(sdtpldt0(xp,sK17),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279545,c_272]) ).
tcf(c_281567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(sdtpldt0(xp,sK17),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_279545,c_145]) ).
tcf(c_281568,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279545,c_139]) ).
tcf(c_281569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279545,c_139]) ).
tcf(c_281571,plain,
doDivides0(sdtpldt0(xp,sK17),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281562,c_151,c_279487]) ).
tcf(c_281572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK17),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281567,c_279492,c_151,c_279487]) ).
tcf(c_281576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281569,c_279492,c_151,c_279487]) ).
tcf(c_281581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281568,c_279492,c_151,c_279487]) ).
tcf(c_281633,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_281571,c_196]) ).
tcf(c_281634,plain,
( ( sdtpldt0(xp,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK17),sdtsldt0(sz00,sdtpldt0(xp,sK17))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_281571,c_199]) ).
tcf(c_281636,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK17),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_281571,c_180]) ).
tcf(c_281637,plain,
( ( sdtasdt0(sdtpldt0(xp,sK17),sK20(sdtpldt0(xp,sK17),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_281571,c_176]) ).
tcf(c_281639,plain,
sdtasdt0(sdtpldt0(xp,sK17),sK20(sdtpldt0(xp,sK17),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281637,c_151,c_279487]) ).
tcf(c_281640,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK17),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281636,c_151,c_279487]) ).
tcf(c_281644,plain,
sdtasdt0(sdtpldt0(xp,sK17),sdtsldt0(sz00,sdtpldt0(xp,sK17))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281634,c_279492,c_151,c_279487]) ).
tcf(c_281645,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK17))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281633,c_279492,c_151,c_279487]) ).
tcf(c_281655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279800,c_141]) ).
tcf(c_281657,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279800,c_141]) ).
tcf(c_281661,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(X0,sdtpldt0(xp,sK18)) != sz00 ) ),
inference(superposition,[status(thm)],[c_279800,c_146]) ).
tcf(c_281662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK18)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281661,c_279748,c_151,c_279743]) ).
tcf(c_281666,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281657,c_279748,c_151,c_279743]) ).
tcf(c_281671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281655,c_279748,c_151,c_279743]) ).
tcf(c_281681,plain,
( doDivides0(sdtpldt0(xp,sK18),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279801,c_272]) ).
tcf(c_281686,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(sdtpldt0(xp,sK18),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_279801,c_145]) ).
tcf(c_281687,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279801,c_139]) ).
tcf(c_281688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279801,c_139]) ).
tcf(c_281690,plain,
doDivides0(sdtpldt0(xp,sK18),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281681,c_151,c_279743]) ).
tcf(c_281691,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK18),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281686,c_279748,c_151,c_279743]) ).
tcf(c_281695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281688,c_279748,c_151,c_279743]) ).
tcf(c_281700,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281687,c_279748,c_151,c_279743]) ).
tcf(c_281705,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_281690,c_196]) ).
tcf(c_281706,plain,
( ( sdtpldt0(xp,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK18),sdtsldt0(sz00,sdtpldt0(xp,sK18))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_281690,c_199]) ).
tcf(c_281708,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK18),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_281690,c_180]) ).
tcf(c_281709,plain,
( ( sdtasdt0(sdtpldt0(xp,sK18),sK20(sdtpldt0(xp,sK18),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_281690,c_176]) ).
tcf(c_281711,plain,
sdtasdt0(sdtpldt0(xp,sK18),sK20(sdtpldt0(xp,sK18),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281709,c_151,c_279743]) ).
tcf(c_281712,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK18),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281708,c_151,c_279743]) ).
tcf(c_281716,plain,
sdtasdt0(sdtpldt0(xp,sK18),sdtsldt0(sz00,sdtpldt0(xp,sK18))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281706,c_279748,c_151,c_279743]) ).
tcf(c_281717,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sK18))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281705,c_279748,c_151,c_279743]) ).
tcf(c_281727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280150,c_141]) ).
tcf(c_281729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280150,c_141]) ).
tcf(c_281733,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(X0,sdtpldt0(xp,sz10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_280150,c_146]) ).
tcf(c_281734,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sz10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281733,c_280017,c_151,c_280015]) ).
tcf(c_281738,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281729,c_280017,c_151,c_280015]) ).
tcf(c_281743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281727,c_280017,c_151,c_280015]) ).
tcf(c_281753,plain,
( doDivides0(sdtpldt0(xp,sz10),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280151,c_272]) ).
tcf(c_281758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(sdtpldt0(xp,sz10),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_280151,c_145]) ).
tcf(c_281759,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280151,c_139]) ).
tcf(c_281760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280151,c_139]) ).
tcf(c_281762,plain,
doDivides0(sdtpldt0(xp,sz10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_281753,c_151,c_280015]) ).
tcf(c_281763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sz10),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281758,c_280017,c_151,c_280015]) ).
tcf(c_281767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281760,c_280017,c_151,c_280015]) ).
tcf(c_281772,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281759,c_280017,c_151,c_280015]) ).
tcf(c_281791,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sz10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_281762,c_196]) ).
tcf(c_281792,plain,
( ( sdtpldt0(xp,sz10) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sz10),sdtsldt0(sz00,sdtpldt0(xp,sz10))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_281762,c_199]) ).
tcf(c_281794,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_281762,c_180]) ).
tcf(c_281795,plain,
( ( sdtasdt0(sdtpldt0(xp,sz10),sK20(sdtpldt0(xp,sz10),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_281762,c_176]) ).
tcf(c_281797,plain,
sdtasdt0(sdtpldt0(xp,sz10),sK20(sdtpldt0(xp,sz10),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281795,c_151,c_280015]) ).
tcf(c_281798,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281794,c_151,c_280015]) ).
tcf(c_281802,plain,
sdtasdt0(sdtpldt0(xp,sz10),sdtsldt0(sz00,sdtpldt0(xp,sz10))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_281792,c_280017,c_151,c_280015]) ).
tcf(c_281803,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,sz10))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281791,c_280017,c_151,c_280015]) ).
tcf(c_281984,plain,
( doDivides0(sz10,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277147,c_272]) ).
tcf(c_281986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277147,c_141]) ).
tcf(c_281987,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277147,c_137]) ).
tcf(c_281988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277147,c_141]) ).
tcf(c_281989,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277147,c_145]) ).
tcf(c_281990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(superposition,[status(thm)],[c_277147,c_139]) ).
tcf(c_281991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277147,c_139]) ).
tcf(c_281992,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(X0,sdtpldt0(xp,sK8)) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277147,c_146]) ).
tcf(c_281993,plain,
doDivides0(sz10,sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_281984,c_155,c_277005]) ).
tcf(c_281994,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_281987,c_277010,c_155,c_277005]) ).
tcf(c_281995,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281989,c_156,c_155,c_277005]) ).
tcf(c_281999,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK8)) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281992,c_277010,c_155,c_277005]) ).
tcf(c_282003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281991,c_156,c_155,c_277005]) ).
tcf(c_282008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281990,c_156,c_155,c_277005]) ).
tcf(c_282013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281988,c_277010,c_155,c_277005]) ).
tcf(c_282018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_281986,c_277010,c_155,c_277005]) ).
tcf(c_282073,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281993,c_196]) ).
tcf(c_282074,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK8),sz10)) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281993,c_199]) ).
tcf(c_282076,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ doDivides0(sdtpldt0(xp,sK8),X0) ),
inference(superposition,[status(thm)],[c_281993,c_180]) ).
tcf(c_282077,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281993,c_176]) ).
tcf(c_282080,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282077,c_155,c_277005]) ).
tcf(c_282081,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282076,c_155,c_277005]) ).
tcf(c_282085,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK8),sz10)) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282074,c_156,c_155,c_277005]) ).
tcf(c_282086,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK8),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282073,c_156,c_155,c_277005]) ).
tcf(c_282096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209703,c_141]) ).
tcf(c_282098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209703,c_141]) ).
tcf(c_282099,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209703,c_145]) ).
tcf(c_282100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( sdtasdt0(xn,xm) = sz00 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_209703,c_139]) ).
tcf(c_282101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209703,c_139]) ).
tcf(c_282102,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209703,c_146]) ).
tcf(c_282103,plain,
! [X0: $i] :
( ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282099,c_194019,c_191219]) ).
tcf(c_282108,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282102,c_191219]) ).
tcf(c_282114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282101,c_194019,c_191219]) ).
tcf(c_282120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282100,c_194019,c_191219]) ).
tcf(c_282126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282098,c_191219]) ).
tcf(c_282133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ( sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK20(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282096,c_191219]) ).
tcf(c_282140,plain,
( ( sdtpldt0(xp,sK8) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),sz10) ),
inference(superposition,[status(thm)],[c_281994,c_194]) ).
tcf(c_282141,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281994,c_165]) ).
tcf(c_282142,plain,
( iLess0(sz10,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281994,c_173]) ).
tcf(c_282143,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_281994,c_193]) ).
tcf(c_282144,plain,
( iLess0(sz10,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282142,c_155,c_277005]) ).
tcf(c_282147,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282143,c_155,c_277005]) ).
tcf(c_282151,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282141,c_155,c_277005]) ).
tcf(c_282152,plain,
( ( sdtpldt0(xp,sK8) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282140,c_155,c_277005]) ).
tcf(c_282160,plain,
( doDivides0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277148,c_272]) ).
tcf(c_282162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK8))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277148,c_141]) ).
tcf(c_282163,plain,
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277148,c_137]) ).
tcf(c_282164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(superposition,[status(thm)],[c_277148,c_141]) ).
tcf(c_282165,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(sdtpldt0(xp,sK8),X0) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277148,c_145]) ).
tcf(c_282166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277148,c_139]) ).
tcf(c_282167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sdtpldt0(xp,sK8))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277148,c_139]) ).
tcf(c_282168,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277148,c_146]) ).
tcf(c_282169,plain,
doDivides0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_282160,c_155,c_277005]) ).
tcf(c_282170,plain,
sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_282163,c_156,c_155,c_277005]) ).
tcf(c_282171,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282168,c_156,c_155,c_277005]) ).
tcf(c_282175,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK8),X0) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282165,c_277010,c_155,c_277005]) ).
tcf(c_282179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK8),X0),sdtpldt0(xp,sK8))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282167,c_277010,c_155,c_277005]) ).
tcf(c_282184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282166,c_277010,c_155,c_277005]) ).
tcf(c_282189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282164,c_156,c_155,c_277005]) ).
tcf(c_282194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282162,c_156,c_155,c_277005]) ).
tcf(c_282213,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282169,c_196]) ).
tcf(c_282214,plain,
( ( sdtpldt0(xp,sK8) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK8),sdtsldt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282169,c_199]) ).
tcf(c_282217,plain,
( ( sdtasdt0(sdtpldt0(xp,sK8),sK20(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282169,c_176]) ).
tcf(c_282219,plain,
( doDivides0(sdtpldt0(xp,sK8),sK8)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ doDivides0(sdtpldt0(xp,sK8),xp) ),
inference(superposition,[status(thm)],[c_282169,c_157]) ).
tcf(c_282220,plain,
sdtasdt0(sdtpldt0(xp,sK8),sK20(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282217,c_277005]) ).
tcf(c_282221,plain,
( doDivides0(sdtpldt0(xp,sK8),sK8)
| ~ doDivides0(sdtpldt0(xp,sK8),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282219,c_73,c_51,c_277005]) ).
tcf(c_282224,plain,
sdtasdt0(sdtpldt0(xp,sK8),sdtsldt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282214,c_277010,c_277005]) ).
tcf(c_282225,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282213,c_277010,c_277005]) ).
tcf(c_282229,plain,
( ( sdtpldt0(sdtpldt0(xp,sK8),sK19(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282170,c_165]) ).
tcf(c_282232,plain,
sdtpldt0(sdtpldt0(xp,sK8),sK19(sdtpldt0(xp,sK8),sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282229,c_277005]) ).
tcf(c_282302,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277149,c_275]) ).
tcf(c_282304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277149,c_162]) ).
tcf(c_282307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(superposition,[status(thm)],[c_277149,c_160]) ).
tcf(c_282308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277149,c_160]) ).
tcf(c_282309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtpldt0(X0,sdtpldt0(xp,sK8)) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277149,c_167]) ).
tcf(c_282310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277149,c_162]) ).
tcf(c_282311,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277149,c_166]) ).
tcf(c_282312,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_282302,c_151,c_277005]) ).
tcf(c_282313,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282311,c_151,c_277005]) ).
tcf(c_282317,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK8)) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282309,c_151,c_277005]) ).
tcf(c_282321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,sdtpldt0(xp,sK8)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282310,c_151,c_277005]) ).
tcf(c_282326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK8)),sdtpldt0(xp,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282304,c_151,c_277005]) ).
tcf(c_282331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282308,c_151,c_277005]) ).
tcf(c_282336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282307,c_151,c_277005]) ).
tcf(c_282341,plain,
( ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),sz00) ),
inference(superposition,[status(thm)],[c_282312,c_194]) ).
tcf(c_282342,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282312,c_165]) ).
tcf(c_282343,plain,
( iLess0(sz00,sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282312,c_173]) ).
tcf(c_282344,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_282312,c_193]) ).
tcf(c_282345,plain,
iLess0(sz00,sdtpldt0(xp,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_282343,c_277010,c_151,c_277005]) ).
tcf(c_282346,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282344,c_151,c_277005]) ).
tcf(c_282350,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK8))) = sdtpldt0(xp,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_282342,c_151,c_277005]) ).
tcf(c_282351,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK8),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_282341,c_277010,c_151,c_277005]) ).
tcf(c_282360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277150,c_162]) ).
tcf(c_282362,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ doDivides0(X0,sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277150,c_157]) ).
tcf(c_282363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277150,c_160]) ).
tcf(c_282364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(xp,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8)) ),
inference(superposition,[status(thm)],[c_277150,c_160]) ).
tcf(c_282365,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277150,c_167]) ).
tcf(c_282366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(superposition,[status(thm)],[c_277150,c_162]) ).
tcf(c_282367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK8))
| ( sdtpldt0(sdtpldt0(xp,sK8),X0) != sdtpldt0(xp,sK8) ) ),
inference(superposition,[status(thm)],[c_277150,c_166]) ).
tcf(c_282368,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282362,c_151,c_277005]) ).
tcf(c_282372,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK8),X0) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282367,c_151,c_277005]) ).
tcf(c_282376,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282365,c_151,c_277005]) ).
tcf(c_282380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK8),X0),sdtpldt0(xp,sK8))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282364,c_151,c_277005]) ).
tcf(c_282385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(sdtpldt0(xp,sK8),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282363,c_151,c_277005]) ).
tcf(c_282390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK8),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282366,c_151,c_277005]) ).
tcf(c_282395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK8))
| ( sdtpldt0(xp,sK8) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282360,c_151,c_277005]) ).
tcf(c_282439,plain,
( doDivides0(sz10,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278022,c_272]) ).
tcf(c_282441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278022,c_141]) ).
tcf(c_282442,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278022,c_137]) ).
tcf(c_282443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278022,c_141]) ).
tcf(c_282444,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278022,c_145]) ).
tcf(c_282445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(superposition,[status(thm)],[c_278022,c_139]) ).
tcf(c_282446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK9))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278022,c_139]) ).
tcf(c_282447,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(X0,sdtpldt0(xp,sK9)) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278022,c_146]) ).
tcf(c_282448,plain,
doDivides0(sz10,sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282439,c_155,c_277228]) ).
tcf(c_282449,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282442,c_277233,c_155,c_277228]) ).
tcf(c_282450,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282444,c_156,c_155,c_277228]) ).
tcf(c_282454,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK9)) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282447,c_277233,c_155,c_277228]) ).
tcf(c_282458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282446,c_156,c_155,c_277228]) ).
tcf(c_282463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282445,c_156,c_155,c_277228]) ).
tcf(c_282468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282443,c_277233,c_155,c_277228]) ).
tcf(c_282473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282441,c_277233,c_155,c_277228]) ).
tcf(c_282478,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK9),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282448,c_196]) ).
tcf(c_282479,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK9),sz10)) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282448,c_199]) ).
tcf(c_282481,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ doDivides0(sdtpldt0(xp,sK9),X0) ),
inference(superposition,[status(thm)],[c_282448,c_180]) ).
tcf(c_282482,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282448,c_176]) ).
tcf(c_282485,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282482,c_155,c_277228]) ).
tcf(c_282486,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282481,c_155,c_277228]) ).
tcf(c_282490,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK9),sz10)) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282479,c_156,c_155,c_277228]) ).
tcf(c_282491,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK9),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282478,c_156,c_155,c_277228]) ).
tcf(c_282542,plain,
( ( sdtpldt0(xp,sK9) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),sz10) ),
inference(superposition,[status(thm)],[c_282449,c_194]) ).
tcf(c_282543,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282449,c_165]) ).
tcf(c_282544,plain,
( iLess0(sz10,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282449,c_173]) ).
tcf(c_282545,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282449,c_193]) ).
tcf(c_282546,plain,
( iLess0(sz10,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282544,c_155,c_277228]) ).
tcf(c_282549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282545,c_155,c_277228]) ).
tcf(c_282553,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282543,c_155,c_277228]) ).
tcf(c_282554,plain,
( ( sdtpldt0(xp,sK9) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282542,c_155,c_277228]) ).
tcf(c_282644,plain,
( doDivides0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278023,c_272]) ).
tcf(c_282646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK9))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278023,c_141]) ).
tcf(c_282647,plain,
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278023,c_137]) ).
tcf(c_282648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(superposition,[status(thm)],[c_278023,c_141]) ).
tcf(c_282649,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(sdtpldt0(xp,sK9),X0) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278023,c_145]) ).
tcf(c_282650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278023,c_139]) ).
tcf(c_282651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sdtpldt0(xp,sK9))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278023,c_139]) ).
tcf(c_282652,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278023,c_146]) ).
tcf(c_282653,plain,
doDivides0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282644,c_155,c_277228]) ).
tcf(c_282654,plain,
sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282647,c_156,c_155,c_277228]) ).
tcf(c_282655,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282652,c_156,c_155,c_277228]) ).
tcf(c_282659,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK9),X0) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282649,c_277233,c_155,c_277228]) ).
tcf(c_282663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK9),X0),sdtpldt0(xp,sK9))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282651,c_277233,c_155,c_277228]) ).
tcf(c_282668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282650,c_277233,c_155,c_277228]) ).
tcf(c_282673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282648,c_156,c_155,c_277228]) ).
tcf(c_282678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282646,c_156,c_155,c_277228]) ).
tcf(c_282731,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282653,c_196]) ).
tcf(c_282732,plain,
( ( sdtpldt0(xp,sK9) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK9),sdtsldt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282653,c_199]) ).
tcf(c_282735,plain,
( ( sdtasdt0(sdtpldt0(xp,sK9),sK20(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282653,c_176]) ).
tcf(c_282737,plain,
( doDivides0(sdtpldt0(xp,sK9),sK9)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ doDivides0(sdtpldt0(xp,sK9),xp) ),
inference(superposition,[status(thm)],[c_282653,c_157]) ).
tcf(c_282738,plain,
sdtasdt0(sdtpldt0(xp,sK9),sK20(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282735,c_277228]) ).
tcf(c_282739,plain,
( doDivides0(sdtpldt0(xp,sK9),sK9)
| ~ doDivides0(sdtpldt0(xp,sK9),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282737,c_81,c_51,c_277228]) ).
tcf(c_282742,plain,
sdtasdt0(sdtpldt0(xp,sK9),sdtsldt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282732,c_277233,c_277228]) ).
tcf(c_282743,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282731,c_277233,c_277228]) ).
tcf(c_282747,plain,
( ( sdtpldt0(sdtpldt0(xp,sK9),sK19(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282654,c_165]) ).
tcf(c_282750,plain,
sdtpldt0(sdtpldt0(xp,sK9),sK19(sdtpldt0(xp,sK9),sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282747,c_277228]) ).
tcf(c_282755,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278024,c_275]) ).
tcf(c_282757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278024,c_162]) ).
tcf(c_282760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(superposition,[status(thm)],[c_278024,c_160]) ).
tcf(c_282761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278024,c_160]) ).
tcf(c_282762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtpldt0(X0,sdtpldt0(xp,sK9)) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278024,c_167]) ).
tcf(c_282763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278024,c_162]) ).
tcf(c_282764,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278024,c_166]) ).
tcf(c_282765,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282755,c_151,c_277228]) ).
tcf(c_282766,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282764,c_151,c_277228]) ).
tcf(c_282770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK9)) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282762,c_151,c_277228]) ).
tcf(c_282774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,sdtpldt0(xp,sK9)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282763,c_151,c_277228]) ).
tcf(c_282779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK9)),sdtpldt0(xp,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282757,c_151,c_277228]) ).
tcf(c_282784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282761,c_151,c_277228]) ).
tcf(c_282789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282760,c_151,c_277228]) ).
tcf(c_282849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209704,c_141]) ).
tcf(c_282851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209704,c_141]) ).
tcf(c_282852,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209704,c_145]) ).
tcf(c_282853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_209704,c_139]) ).
tcf(c_282854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209704,c_139]) ).
tcf(c_282855,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209704,c_146]) ).
tcf(c_282856,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282852,c_194019,c_191219]) ).
tcf(c_282861,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282855,c_191219]) ).
tcf(c_282867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282854,c_194019,c_191219]) ).
tcf(c_282873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282853,c_194019,c_191219]) ).
tcf(c_282879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282851,c_191219]) ).
tcf(c_282886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282849,c_191219]) ).
tcf(c_282941,plain,
( ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),sz00) ),
inference(superposition,[status(thm)],[c_282765,c_194]) ).
tcf(c_282942,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282765,c_165]) ).
tcf(c_282943,plain,
( iLess0(sz00,sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282765,c_173]) ).
tcf(c_282944,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_282765,c_193]) ).
tcf(c_282945,plain,
iLess0(sz00,sdtpldt0(xp,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_282943,c_277233,c_151,c_277228]) ).
tcf(c_282946,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_282944,c_151,c_277228]) ).
tcf(c_282950,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK9))) = sdtpldt0(xp,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_282942,c_151,c_277228]) ).
tcf(c_282951,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK9),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_282941,c_277233,c_151,c_277228]) ).
tcf(c_283008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278025,c_162]) ).
tcf(c_283010,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ doDivides0(X0,sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278025,c_157]) ).
tcf(c_283011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278025,c_160]) ).
tcf(c_283012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK9),X0),sdtpldt0(xp,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9)) ),
inference(superposition,[status(thm)],[c_278025,c_160]) ).
tcf(c_283013,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278025,c_167]) ).
tcf(c_283014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(superposition,[status(thm)],[c_278025,c_162]) ).
tcf(c_283015,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK9))
| ( sdtpldt0(sdtpldt0(xp,sK9),X0) != sdtpldt0(xp,sK9) ) ),
inference(superposition,[status(thm)],[c_278025,c_166]) ).
tcf(c_283016,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283010,c_151,c_277228]) ).
tcf(c_283020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK9),X0) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283015,c_151,c_277228]) ).
tcf(c_283024,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283013,c_151,c_277228]) ).
tcf(c_283028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK9),X0),sdtpldt0(xp,sK9))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283012,c_151,c_277228]) ).
tcf(c_283033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(sdtpldt0(xp,sK9),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283011,c_151,c_277228]) ).
tcf(c_283038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK9),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK9),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283014,c_151,c_277228]) ).
tcf(c_283043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK9))
| ( sdtpldt0(xp,sK9) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283008,c_151,c_277228]) ).
tcf(c_283949,plain,
( doDivides0(sz10,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278186,c_272]) ).
tcf(c_283951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278186,c_141]) ).
tcf(c_283952,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278186,c_137]) ).
tcf(c_283953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278186,c_141]) ).
tcf(c_283954,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278186,c_145]) ).
tcf(c_283955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(superposition,[status(thm)],[c_278186,c_139]) ).
tcf(c_283956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278186,c_139]) ).
tcf(c_283957,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(X0,sdtpldt0(xp,sK10)) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278186,c_146]) ).
tcf(c_283958,plain,
doDivides0(sz10,sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_283949,c_155,c_278078]) ).
tcf(c_283959,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_283952,c_278083,c_155,c_278078]) ).
tcf(c_283960,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283954,c_156,c_155,c_278078]) ).
tcf(c_283964,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK10)) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283957,c_278083,c_155,c_278078]) ).
tcf(c_283968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283956,c_156,c_155,c_278078]) ).
tcf(c_283973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283955,c_156,c_155,c_278078]) ).
tcf(c_283978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283953,c_278083,c_155,c_278078]) ).
tcf(c_283983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283951,c_278083,c_155,c_278078]) ).
tcf(c_283988,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283958,c_196]) ).
tcf(c_283989,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK10),sz10)) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283958,c_199]) ).
tcf(c_283991,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ doDivides0(sdtpldt0(xp,sK10),X0) ),
inference(superposition,[status(thm)],[c_283958,c_180]) ).
tcf(c_283992,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283958,c_176]) ).
tcf(c_283995,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_283992,c_155,c_278078]) ).
tcf(c_283996,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283991,c_155,c_278078]) ).
tcf(c_284000,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK10),sz10)) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_283989,c_156,c_155,c_278078]) ).
tcf(c_284001,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283988,c_156,c_155,c_278078]) ).
tcf(c_284004,plain,
( ( sdtpldt0(xp,sK10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),sz10) ),
inference(superposition,[status(thm)],[c_283959,c_194]) ).
tcf(c_284005,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283959,c_165]) ).
tcf(c_284006,plain,
( iLess0(sz10,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283959,c_173]) ).
tcf(c_284007,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_283959,c_193]) ).
tcf(c_284008,plain,
( iLess0(sz10,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284006,c_155,c_278078]) ).
tcf(c_284011,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284007,c_155,c_278078]) ).
tcf(c_284015,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_284005,c_155,c_278078]) ).
tcf(c_284016,plain,
( ( sdtpldt0(xp,sK10) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284004,c_155,c_278078]) ).
tcf(c_284024,plain,
( doDivides0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278187,c_272]) ).
tcf(c_284026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278187,c_141]) ).
tcf(c_284027,plain,
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278187,c_137]) ).
tcf(c_284028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(superposition,[status(thm)],[c_278187,c_141]) ).
tcf(c_284029,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(sdtpldt0(xp,sK10),X0) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278187,c_145]) ).
tcf(c_284030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278187,c_139]) ).
tcf(c_284031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sK10))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278187,c_139]) ).
tcf(c_284032,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278187,c_146]) ).
tcf(c_284033,plain,
doDivides0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_284024,c_155,c_278078]) ).
tcf(c_284034,plain,
sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_284027,c_156,c_155,c_278078]) ).
tcf(c_284035,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284032,c_156,c_155,c_278078]) ).
tcf(c_284039,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK10),X0) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284029,c_278083,c_155,c_278078]) ).
tcf(c_284043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sK10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284031,c_278083,c_155,c_278078]) ).
tcf(c_284048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284030,c_278083,c_155,c_278078]) ).
tcf(c_284053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284028,c_156,c_155,c_278078]) ).
tcf(c_284058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284026,c_156,c_155,c_278078]) ).
tcf(c_284111,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284033,c_196]) ).
tcf(c_284112,plain,
( ( sdtpldt0(xp,sK10) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK10),sdtsldt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284033,c_199]) ).
tcf(c_284115,plain,
( ( sdtasdt0(sdtpldt0(xp,sK10),sK20(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284033,c_176]) ).
tcf(c_284117,plain,
( doDivides0(sdtpldt0(xp,sK10),sK10)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ doDivides0(sdtpldt0(xp,sK10),xp) ),
inference(superposition,[status(thm)],[c_284033,c_157]) ).
tcf(c_284118,plain,
sdtasdt0(sdtpldt0(xp,sK10),sK20(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_284115,c_278078]) ).
tcf(c_284119,plain,
( doDivides0(sdtpldt0(xp,sK10),sK10)
| ~ doDivides0(sdtpldt0(xp,sK10),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284117,c_85,c_51,c_278078]) ).
tcf(c_284122,plain,
sdtasdt0(sdtpldt0(xp,sK10),sdtsldt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_284112,c_278083,c_278078]) ).
tcf(c_284123,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284111,c_278083,c_278078]) ).
tcf(c_284175,plain,
( ( sdtpldt0(sdtpldt0(xp,sK10),sK19(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284034,c_165]) ).
tcf(c_284178,plain,
sdtpldt0(sdtpldt0(xp,sK10),sK19(sdtpldt0(xp,sK10),sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_284175,c_278078]) ).
tcf(c_284183,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278188,c_275]) ).
tcf(c_284185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278188,c_162]) ).
tcf(c_284188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(superposition,[status(thm)],[c_278188,c_160]) ).
tcf(c_284189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278188,c_160]) ).
tcf(c_284190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtpldt0(X0,sdtpldt0(xp,sK10)) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278188,c_167]) ).
tcf(c_284191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278188,c_162]) ).
tcf(c_284192,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278188,c_166]) ).
tcf(c_284193,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_284183,c_151,c_278078]) ).
tcf(c_284194,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284192,c_151,c_278078]) ).
tcf(c_284198,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK10)) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284190,c_151,c_278078]) ).
tcf(c_284202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,sdtpldt0(xp,sK10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284191,c_151,c_278078]) ).
tcf(c_284207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK10)),sdtpldt0(xp,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284185,c_151,c_278078]) ).
tcf(c_284212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284189,c_151,c_278078]) ).
tcf(c_284217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284188,c_151,c_278078]) ).
tcf(c_284270,plain,
( ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),sz00) ),
inference(superposition,[status(thm)],[c_284193,c_194]) ).
tcf(c_284271,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284193,c_165]) ).
tcf(c_284272,plain,
( iLess0(sz00,sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284193,c_173]) ).
tcf(c_284273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_284193,c_193]) ).
tcf(c_284274,plain,
iLess0(sz00,sdtpldt0(xp,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_284272,c_278083,c_151,c_278078]) ).
tcf(c_284275,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284273,c_151,c_278078]) ).
tcf(c_284279,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK10))) = sdtpldt0(xp,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_284271,c_151,c_278078]) ).
tcf(c_284280,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_284270,c_278083,c_151,c_278078]) ).
tcf(c_284289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278189,c_162]) ).
tcf(c_284291,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ doDivides0(X0,sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278189,c_157]) ).
tcf(c_284292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278189,c_160]) ).
tcf(c_284293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10)) ),
inference(superposition,[status(thm)],[c_278189,c_160]) ).
tcf(c_284294,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278189,c_167]) ).
tcf(c_284295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(superposition,[status(thm)],[c_278189,c_162]) ).
tcf(c_284296,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK10))
| ( sdtpldt0(sdtpldt0(xp,sK10),X0) != sdtpldt0(xp,sK10) ) ),
inference(superposition,[status(thm)],[c_278189,c_166]) ).
tcf(c_284297,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284291,c_151,c_278078]) ).
tcf(c_284301,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK10),X0) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284296,c_151,c_278078]) ).
tcf(c_284305,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284294,c_151,c_278078]) ).
tcf(c_284309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK10),X0),sdtpldt0(xp,sK10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284293,c_151,c_278078]) ).
tcf(c_284314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(sdtpldt0(xp,sK10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284292,c_151,c_278078]) ).
tcf(c_284319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284295,c_151,c_278078]) ).
tcf(c_284324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK10))
| ( sdtpldt0(xp,sK10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284289,c_151,c_278078]) ).
tcf(c_284382,plain,
( doDivides0(sz10,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278402,c_272]) ).
tcf(c_284384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278402,c_141]) ).
tcf(c_284385,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278402,c_137]) ).
tcf(c_284386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278402,c_141]) ).
tcf(c_284387,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278402,c_145]) ).
tcf(c_284388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_278402,c_139]) ).
tcf(c_284389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278402,c_139]) ).
tcf(c_284390,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(X0,sdtpldt0(xp,xk)) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278402,c_146]) ).
tcf(c_284391,plain,
doDivides0(sz10,sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284382,c_155,c_278352]) ).
tcf(c_284392,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284385,c_278354,c_155,c_278352]) ).
tcf(c_284393,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284387,c_156,c_155,c_278352]) ).
tcf(c_284397,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xk)) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284390,c_278354,c_155,c_278352]) ).
tcf(c_284401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284389,c_156,c_155,c_278352]) ).
tcf(c_284406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284388,c_156,c_155,c_278352]) ).
tcf(c_284411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284386,c_278354,c_155,c_278352]) ).
tcf(c_284416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284384,c_278354,c_155,c_278352]) ).
tcf(c_284475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209712,c_162]) ).
tcf(c_284477,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209712,c_157]) ).
tcf(c_284478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_209712,c_160]) ).
tcf(c_284479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209712,c_160]) ).
tcf(c_284480,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209712,c_167]) ).
tcf(c_284481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_209712,c_162]) ).
tcf(c_284482,plain,
! [X0: $i] :
( ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_209712,c_166]) ).
tcf(c_284483,plain,
! [X0: $i] :
( doDivides0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284477,c_191219]) ).
tcf(c_284488,plain,
! [X0: $i] :
( ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284482,c_191219]) ).
tcf(c_284493,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ( sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284480,c_191219]) ).
tcf(c_284498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284481,c_191219]) ).
tcf(c_284504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284475,c_191219]) ).
tcf(c_284510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284479,c_191219]) ).
tcf(c_284516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sK19(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284478,c_191219]) ).
tcf(c_284783,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284391,c_196]) ).
tcf(c_284784,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xk),sz10)) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284391,c_199]) ).
tcf(c_284786,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ doDivides0(sdtpldt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_284391,c_180]) ).
tcf(c_284787,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284391,c_176]) ).
tcf(c_284790,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284787,c_155,c_278352]) ).
tcf(c_284791,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284786,c_155,c_278352]) ).
tcf(c_284795,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xk),sz10)) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284784,c_156,c_155,c_278352]) ).
tcf(c_284796,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xk),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284783,c_156,c_155,c_278352]) ).
tcf(c_284799,plain,
( ( sdtpldt0(xp,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),sz10) ),
inference(superposition,[status(thm)],[c_284392,c_194]) ).
tcf(c_284800,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284392,c_165]) ).
tcf(c_284801,plain,
( iLess0(sz10,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284392,c_173]) ).
tcf(c_284802,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284392,c_193]) ).
tcf(c_284803,plain,
( iLess0(sz10,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284801,c_155,c_278352]) ).
tcf(c_284806,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284802,c_155,c_278352]) ).
tcf(c_284810,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284800,c_155,c_278352]) ).
tcf(c_284811,plain,
( ( sdtpldt0(xp,xk) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284799,c_155,c_278352]) ).
tcf(c_284819,plain,
( doDivides0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278403,c_272]) ).
tcf(c_284821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xk))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278403,c_141]) ).
tcf(c_284822,plain,
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278403,c_137]) ).
tcf(c_284823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_278403,c_141]) ).
tcf(c_284824,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(sdtpldt0(xp,xk),X0) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278403,c_145]) ).
tcf(c_284825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278403,c_139]) ).
tcf(c_284826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xk))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278403,c_139]) ).
tcf(c_284827,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278403,c_146]) ).
tcf(c_284828,plain,
doDivides0(sdtpldt0(xp,xk),sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284819,c_155,c_278352]) ).
tcf(c_284829,plain,
sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284822,c_156,c_155,c_278352]) ).
tcf(c_284830,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284827,c_156,c_155,c_278352]) ).
tcf(c_284834,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xk),X0) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284824,c_278354,c_155,c_278352]) ).
tcf(c_284838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284826,c_278354,c_155,c_278352]) ).
tcf(c_284843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284825,c_278354,c_155,c_278352]) ).
tcf(c_284848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284823,c_156,c_155,c_278352]) ).
tcf(c_284853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284821,c_156,c_155,c_278352]) ).
tcf(c_284858,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284828,c_196]) ).
tcf(c_284859,plain,
( ( sdtpldt0(xp,xk) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xk),sdtsldt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284828,c_199]) ).
tcf(c_284862,plain,
( ( sdtasdt0(sdtpldt0(xp,xk),sK20(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284828,c_176]) ).
tcf(c_284864,plain,
( doDivides0(sdtpldt0(xp,xk),xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ doDivides0(sdtpldt0(xp,xk),xp) ),
inference(superposition,[status(thm)],[c_284828,c_157]) ).
tcf(c_284865,plain,
sdtasdt0(sdtpldt0(xp,xk),sK20(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284862,c_278352]) ).
tcf(c_284866,plain,
( doDivides0(sdtpldt0(xp,xk),xk)
| ~ doDivides0(sdtpldt0(xp,xk),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284864,c_88,c_51,c_278352]) ).
tcf(c_284869,plain,
sdtasdt0(sdtpldt0(xp,xk),sdtsldt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284859,c_278354,c_278352]) ).
tcf(c_284870,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284858,c_278354,c_278352]) ).
tcf(c_284874,plain,
( ( sdtpldt0(sdtpldt0(xp,xk),sK19(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284829,c_165]) ).
tcf(c_284877,plain,
sdtpldt0(sdtpldt0(xp,xk),sK19(sdtpldt0(xp,xk),sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284874,c_278352]) ).
tcf(c_284882,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278404,c_275]) ).
tcf(c_284884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278404,c_162]) ).
tcf(c_284887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_278404,c_160]) ).
tcf(c_284888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278404,c_160]) ).
tcf(c_284889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtpldt0(X0,sdtpldt0(xp,xk)) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278404,c_167]) ).
tcf(c_284890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278404,c_162]) ).
tcf(c_284891,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278404,c_166]) ).
tcf(c_284892,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284882,c_151,c_278352]) ).
tcf(c_284893,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284891,c_151,c_278352]) ).
tcf(c_284897,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xk)) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284889,c_151,c_278352]) ).
tcf(c_284901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,sdtpldt0(xp,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284890,c_151,c_278352]) ).
tcf(c_284906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xk)),sdtpldt0(xp,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284884,c_151,c_278352]) ).
tcf(c_284911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284888,c_151,c_278352]) ).
tcf(c_284916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284887,c_151,c_278352]) ).
tcf(c_284921,plain,
( ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),sz00) ),
inference(superposition,[status(thm)],[c_284892,c_194]) ).
tcf(c_284922,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284892,c_165]) ).
tcf(c_284923,plain,
( iLess0(sz00,sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284892,c_173]) ).
tcf(c_284924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_284892,c_193]) ).
tcf(c_284925,plain,
iLess0(sz00,sdtpldt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_284923,c_278354,c_151,c_278352]) ).
tcf(c_284926,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284924,c_151,c_278352]) ).
tcf(c_284930,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,xk))) = sdtpldt0(xp,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_284922,c_151,c_278352]) ).
tcf(c_284931,plain,
~ sdtlseqdt0(sdtpldt0(xp,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_284921,c_278354,c_151,c_278352]) ).
tcf(c_284940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278405,c_162]) ).
tcf(c_284942,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ doDivides0(X0,sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278405,c_157]) ).
tcf(c_284943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278405,c_160]) ).
tcf(c_284944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_278405,c_160]) ).
tcf(c_284945,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278405,c_167]) ).
tcf(c_284946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_278405,c_162]) ).
tcf(c_284947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xk))
| ( sdtpldt0(sdtpldt0(xp,xk),X0) != sdtpldt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_278405,c_166]) ).
tcf(c_284948,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284942,c_151,c_278352]) ).
tcf(c_284952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xk),X0) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284947,c_151,c_278352]) ).
tcf(c_284956,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284945,c_151,c_278352]) ).
tcf(c_284960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xk),X0),sdtpldt0(xp,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284944,c_151,c_278352]) ).
tcf(c_284965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(sdtpldt0(xp,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284943,c_151,c_278352]) ).
tcf(c_284970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xk),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284946,c_151,c_278352]) ).
tcf(c_284975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xk))
| ( sdtpldt0(xp,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284940,c_151,c_278352]) ).
tcf(c_284985,plain,
( doDivides0(sz10,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278520,c_272]) ).
tcf(c_284987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278520,c_141]) ).
tcf(c_284988,plain,
( sdtlseqdt0(sz10,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278520,c_137]) ).
tcf(c_284989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278520,c_141]) ).
tcf(c_284990,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278520,c_145]) ).
tcf(c_284991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_278520,c_139]) ).
tcf(c_284992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278520,c_139]) ).
tcf(c_284993,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(X0,sdtpldt0(xr,xp)) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278520,c_146]) ).
tcf(c_284994,plain,
doDivides0(sz10,sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_284985,c_155,c_278462]) ).
tcf(c_284995,plain,
sdtlseqdt0(sz10,sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_284988,c_278464,c_155,c_278462]) ).
tcf(c_284996,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284990,c_156,c_155,c_278462]) ).
tcf(c_285000,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xp)) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284993,c_278464,c_155,c_278462]) ).
tcf(c_285004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284992,c_156,c_155,c_278462]) ).
tcf(c_285009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(sz10,X0))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284991,c_156,c_155,c_278462]) ).
tcf(c_285014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284989,c_278464,c_155,c_278462]) ).
tcf(c_285019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284987,c_278464,c_155,c_278462]) ).
tcf(c_285024,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284994,c_196]) ).
tcf(c_285025,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xp),sz10)) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284994,c_199]) ).
tcf(c_285027,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ doDivides0(sdtpldt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_284994,c_180]) ).
tcf(c_285028,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284994,c_176]) ).
tcf(c_285031,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285028,c_155,c_278462]) ).
tcf(c_285032,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285027,c_155,c_278462]) ).
tcf(c_285036,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xp),sz10)) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285025,c_156,c_155,c_278462]) ).
tcf(c_285037,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285024,c_156,c_155,c_278462]) ).
tcf(c_285040,plain,
( ( sdtpldt0(xr,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),sz10) ),
inference(superposition,[status(thm)],[c_284995,c_194]) ).
tcf(c_285041,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284995,c_165]) ).
tcf(c_285042,plain,
( iLess0(sz10,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284995,c_173]) ).
tcf(c_285043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_284995,c_193]) ).
tcf(c_285044,plain,
( iLess0(sz10,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285042,c_155,c_278462]) ).
tcf(c_285047,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285043,c_155,c_278462]) ).
tcf(c_285051,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285041,c_155,c_278462]) ).
tcf(c_285052,plain,
( ( sdtpldt0(xr,xp) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xr,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285040,c_155,c_278462]) ).
tcf(c_285060,plain,
( doDivides0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278521,c_272]) ).
tcf(c_285062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278521,c_141]) ).
tcf(c_285063,plain,
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278521,c_137]) ).
tcf(c_285064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_278521,c_141]) ).
tcf(c_285065,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(sdtpldt0(xr,xp),X0) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278521,c_145]) ).
tcf(c_285066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278521,c_139]) ).
tcf(c_285067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xp),X0),sdtpldt0(xr,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278521,c_139]) ).
tcf(c_285068,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278521,c_146]) ).
tcf(c_285069,plain,
doDivides0(sdtpldt0(xr,xp),sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_285060,c_155,c_278462]) ).
tcf(c_285070,plain,
sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_285063,c_156,c_155,c_278462]) ).
tcf(c_285071,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285068,c_156,c_155,c_278462]) ).
tcf(c_285075,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xp),X0) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285065,c_278464,c_155,c_278462]) ).
tcf(c_285079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xp),X0),sdtpldt0(xr,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285067,c_278464,c_155,c_278462]) ).
tcf(c_285084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285066,c_278464,c_155,c_278462]) ).
tcf(c_285089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtasdt0(X0,sz10))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285064,c_156,c_155,c_278462]) ).
tcf(c_285094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285062,c_156,c_155,c_278462]) ).
tcf(c_285099,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285069,c_196]) ).
tcf(c_285100,plain,
( ( sdtpldt0(xr,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xp),sdtsldt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285069,c_199]) ).
tcf(c_285103,plain,
( ( sdtasdt0(sdtpldt0(xr,xp),sK20(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285069,c_176]) ).
tcf(c_285105,plain,
( doDivides0(sdtpldt0(xr,xp),xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ doDivides0(sdtpldt0(xr,xp),xr) ),
inference(superposition,[status(thm)],[c_285069,c_157]) ).
tcf(c_285106,plain,
sdtasdt0(sdtpldt0(xr,xp),sK20(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285103,c_278462]) ).
tcf(c_285107,plain,
( doDivides0(sdtpldt0(xr,xp),xp)
| ~ doDivides0(sdtpldt0(xr,xp),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285105,c_95,c_51,c_278462]) ).
tcf(c_285110,plain,
sdtasdt0(sdtpldt0(xr,xp),sdtsldt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285100,c_278464,c_278462]) ).
tcf(c_285111,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285099,c_278464,c_278462]) ).
tcf(c_285115,plain,
( ( sdtpldt0(sdtpldt0(xr,xp),sK19(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285070,c_165]) ).
tcf(c_285118,plain,
sdtpldt0(sdtpldt0(xr,xp),sK19(sdtpldt0(xr,xp),sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285115,c_278462]) ).
tcf(c_285168,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278522,c_275]) ).
tcf(c_285170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278522,c_162]) ).
tcf(c_285173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_278522,c_160]) ).
tcf(c_285174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278522,c_160]) ).
tcf(c_285175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtpldt0(X0,sdtpldt0(xr,xp)) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278522,c_167]) ).
tcf(c_285176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278522,c_162]) ).
tcf(c_285177,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278522,c_166]) ).
tcf(c_285178,plain,
sdtlseqdt0(sz00,sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_285168,c_151,c_278462]) ).
tcf(c_285179,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285177,c_151,c_278462]) ).
tcf(c_285183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xr,xp)) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285175,c_151,c_278462]) ).
tcf(c_285187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,sdtpldt0(xr,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285176,c_151,c_278462]) ).
tcf(c_285192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xp)),sdtpldt0(xr,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285170,c_151,c_278462]) ).
tcf(c_285197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285174,c_151,c_278462]) ).
tcf(c_285202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285173,c_151,c_278462]) ).
tcf(c_285207,plain,
( ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),sz00) ),
inference(superposition,[status(thm)],[c_285178,c_194]) ).
tcf(c_285208,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285178,c_165]) ).
tcf(c_285209,plain,
( iLess0(sz00,sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285178,c_173]) ).
tcf(c_285210,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_285178,c_193]) ).
tcf(c_285211,plain,
iLess0(sz00,sdtpldt0(xr,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_285209,c_278464,c_151,c_278462]) ).
tcf(c_285212,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285210,c_151,c_278462]) ).
tcf(c_285216,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xr,xp))) = sdtpldt0(xr,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_285208,c_151,c_278462]) ).
tcf(c_285217,plain,
~ sdtlseqdt0(sdtpldt0(xr,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_285207,c_278464,c_151,c_278462]) ).
tcf(c_285226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278523,c_162]) ).
tcf(c_285228,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ doDivides0(X0,sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278523,c_157]) ).
tcf(c_285229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278523,c_160]) ).
tcf(c_285230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xp),X0),sdtpldt0(xr,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_278523,c_160]) ).
tcf(c_285231,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278523,c_167]) ).
tcf(c_285232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_278523,c_162]) ).
tcf(c_285233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xp))
| ( sdtpldt0(sdtpldt0(xr,xp),X0) != sdtpldt0(xr,xp) ) ),
inference(superposition,[status(thm)],[c_278523,c_166]) ).
tcf(c_285234,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285228,c_151,c_278462]) ).
tcf(c_285238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xr,xp),X0) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285233,c_151,c_278462]) ).
tcf(c_285242,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285231,c_151,c_278462]) ).
tcf(c_285246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xp),X0),sdtpldt0(xr,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285230,c_151,c_278462]) ).
tcf(c_285251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(sdtpldt0(xr,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285229,c_151,c_278462]) ).
tcf(c_285256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285232,c_151,c_278462]) ).
tcf(c_285261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xp))
| ( sdtpldt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285226,c_151,c_278462]) ).
tcf(c_285271,plain,
( doDivides0(sz10,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278735,c_272]) ).
tcf(c_285273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278735,c_141]) ).
tcf(c_285274,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278735,c_137]) ).
tcf(c_285275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278735,c_141]) ).
tcf(c_285276,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278735,c_145]) ).
tcf(c_285277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(superposition,[status(thm)],[c_278735,c_139]) ).
tcf(c_285278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278735,c_139]) ).
tcf(c_285279,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(X0,sdtpldt0(xp,sK11)) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278735,c_146]) ).
tcf(c_285280,plain,
doDivides0(sz10,sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285271,c_155,c_278635]) ).
tcf(c_285281,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285274,c_278640,c_155,c_278635]) ).
tcf(c_285282,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285276,c_156,c_155,c_278635]) ).
tcf(c_285286,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK11)) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285279,c_278640,c_155,c_278635]) ).
tcf(c_285290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285278,c_156,c_155,c_278635]) ).
tcf(c_285295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285277,c_156,c_155,c_278635]) ).
tcf(c_285300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285275,c_278640,c_155,c_278635]) ).
tcf(c_285305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285273,c_278640,c_155,c_278635]) ).
tcf(c_285310,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285280,c_196]) ).
tcf(c_285311,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK11),sz10)) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285280,c_199]) ).
tcf(c_285313,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ doDivides0(sdtpldt0(xp,sK11),X0) ),
inference(superposition,[status(thm)],[c_285280,c_180]) ).
tcf(c_285314,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285280,c_176]) ).
tcf(c_285317,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285314,c_155,c_278635]) ).
tcf(c_285318,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285313,c_155,c_278635]) ).
tcf(c_285322,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK11),sz10)) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285311,c_156,c_155,c_278635]) ).
tcf(c_285323,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK11),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285310,c_156,c_155,c_278635]) ).
tcf(c_285326,plain,
( ( sdtpldt0(xp,sK11) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),sz10) ),
inference(superposition,[status(thm)],[c_285281,c_194]) ).
tcf(c_285327,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285281,c_165]) ).
tcf(c_285328,plain,
( iLess0(sz10,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285281,c_173]) ).
tcf(c_285329,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285281,c_193]) ).
tcf(c_285330,plain,
( iLess0(sz10,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285328,c_155,c_278635]) ).
tcf(c_285333,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285329,c_155,c_278635]) ).
tcf(c_285337,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285327,c_155,c_278635]) ).
tcf(c_285338,plain,
( ( sdtpldt0(xp,sK11) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285326,c_155,c_278635]) ).
tcf(c_285346,plain,
( doDivides0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278736,c_272]) ).
tcf(c_285348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK11))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278736,c_141]) ).
tcf(c_285349,plain,
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278736,c_137]) ).
tcf(c_285350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(superposition,[status(thm)],[c_278736,c_141]) ).
tcf(c_285351,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(sdtpldt0(xp,sK11),X0) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278736,c_145]) ).
tcf(c_285352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278736,c_139]) ).
tcf(c_285353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sdtpldt0(xp,sK11))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278736,c_139]) ).
tcf(c_285354,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278736,c_146]) ).
tcf(c_285355,plain,
doDivides0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285346,c_155,c_278635]) ).
tcf(c_285356,plain,
sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285349,c_156,c_155,c_278635]) ).
tcf(c_285357,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285354,c_156,c_155,c_278635]) ).
tcf(c_285361,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK11),X0) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285351,c_278640,c_155,c_278635]) ).
tcf(c_285365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK11),X0),sdtpldt0(xp,sK11))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285353,c_278640,c_155,c_278635]) ).
tcf(c_285370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285352,c_278640,c_155,c_278635]) ).
tcf(c_285375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285350,c_156,c_155,c_278635]) ).
tcf(c_285380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285348,c_156,c_155,c_278635]) ).
tcf(c_285385,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285355,c_196]) ).
tcf(c_285386,plain,
( ( sdtpldt0(xp,sK11) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK11),sdtsldt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285355,c_199]) ).
tcf(c_285389,plain,
( ( sdtasdt0(sdtpldt0(xp,sK11),sK20(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285355,c_176]) ).
tcf(c_285391,plain,
( doDivides0(sdtpldt0(xp,sK11),sK11)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ doDivides0(sdtpldt0(xp,sK11),xp) ),
inference(superposition,[status(thm)],[c_285355,c_157]) ).
tcf(c_285392,plain,
sdtasdt0(sdtpldt0(xp,sK11),sK20(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285389,c_278635]) ).
tcf(c_285393,plain,
( doDivides0(sdtpldt0(xp,sK11),sK11)
| ~ doDivides0(sdtpldt0(xp,sK11),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285391,c_96,c_51,c_278635]) ).
tcf(c_285396,plain,
sdtasdt0(sdtpldt0(xp,sK11),sdtsldt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285386,c_278640,c_278635]) ).
tcf(c_285397,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285385,c_278640,c_278635]) ).
tcf(c_285401,plain,
( ( sdtpldt0(sdtpldt0(xp,sK11),sK19(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285356,c_165]) ).
tcf(c_285404,plain,
sdtpldt0(sdtpldt0(xp,sK11),sK19(sdtpldt0(xp,sK11),sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285401,c_278635]) ).
tcf(c_285409,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278737,c_275]) ).
tcf(c_285411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278737,c_162]) ).
tcf(c_285414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(superposition,[status(thm)],[c_278737,c_160]) ).
tcf(c_285415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278737,c_160]) ).
tcf(c_285416,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtpldt0(X0,sdtpldt0(xp,sK11)) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278737,c_167]) ).
tcf(c_285417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278737,c_162]) ).
tcf(c_285418,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278737,c_166]) ).
tcf(c_285419,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285409,c_151,c_278635]) ).
tcf(c_285420,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285418,c_151,c_278635]) ).
tcf(c_285424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK11)) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285416,c_151,c_278635]) ).
tcf(c_285428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,sdtpldt0(xp,sK11)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285417,c_151,c_278635]) ).
tcf(c_285433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK11)),sdtpldt0(xp,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285411,c_151,c_278635]) ).
tcf(c_285438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285415,c_151,c_278635]) ).
tcf(c_285443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285414,c_151,c_278635]) ).
tcf(c_285448,plain,
( ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),sz00) ),
inference(superposition,[status(thm)],[c_285419,c_194]) ).
tcf(c_285449,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285419,c_165]) ).
tcf(c_285450,plain,
( iLess0(sz00,sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285419,c_173]) ).
tcf(c_285451,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_285419,c_193]) ).
tcf(c_285452,plain,
iLess0(sz00,sdtpldt0(xp,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_285450,c_278640,c_151,c_278635]) ).
tcf(c_285453,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK11))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285451,c_151,c_278635]) ).
tcf(c_285457,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK11))) = sdtpldt0(xp,sK11),
inference(forward_subsumption_resolution,[status(thm)],[c_285449,c_151,c_278635]) ).
tcf(c_285458,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK11),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_285448,c_278640,c_151,c_278635]) ).
tcf(c_285467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278738,c_162]) ).
tcf(c_285469,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ doDivides0(X0,sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278738,c_157]) ).
tcf(c_285470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278738,c_160]) ).
tcf(c_285471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK11),X0),sdtpldt0(xp,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11)) ),
inference(superposition,[status(thm)],[c_278738,c_160]) ).
tcf(c_285472,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278738,c_167]) ).
tcf(c_285473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(superposition,[status(thm)],[c_278738,c_162]) ).
tcf(c_285474,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK11))
| ( sdtpldt0(sdtpldt0(xp,sK11),X0) != sdtpldt0(xp,sK11) ) ),
inference(superposition,[status(thm)],[c_278738,c_166]) ).
tcf(c_285475,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285469,c_151,c_278635]) ).
tcf(c_285479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK11),X0) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285474,c_151,c_278635]) ).
tcf(c_285483,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285472,c_151,c_278635]) ).
tcf(c_285487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK11),X0),sdtpldt0(xp,sK11))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285471,c_151,c_278635]) ).
tcf(c_285492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(sdtpldt0(xp,sK11),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285470,c_151,c_278635]) ).
tcf(c_285497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK11),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285473,c_151,c_278635]) ).
tcf(c_285502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK11))
| ( sdtpldt0(xp,sK11) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285467,c_151,c_278635]) ).
tcf(c_285581,plain,
( doDivides0(sz10,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279053,c_272]) ).
tcf(c_285583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279053,c_141]) ).
tcf(c_285584,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279053,c_137]) ).
tcf(c_285585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279053,c_141]) ).
tcf(c_285586,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279053,c_145]) ).
tcf(c_285587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(superposition,[status(thm)],[c_279053,c_139]) ).
tcf(c_285588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279053,c_139]) ).
tcf(c_285589,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(X0,sdtpldt0(xp,sK12)) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279053,c_146]) ).
tcf(c_285590,plain,
doDivides0(sz10,sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285581,c_155,c_278944]) ).
tcf(c_285591,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285584,c_278949,c_155,c_278944]) ).
tcf(c_285592,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285586,c_156,c_155,c_278944]) ).
tcf(c_285596,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK12)) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285589,c_278949,c_155,c_278944]) ).
tcf(c_285600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285588,c_156,c_155,c_278944]) ).
tcf(c_285605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285587,c_156,c_155,c_278944]) ).
tcf(c_285610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285585,c_278949,c_155,c_278944]) ).
tcf(c_285615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285583,c_278949,c_155,c_278944]) ).
tcf(c_285620,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285590,c_196]) ).
tcf(c_285621,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK12),sz10)) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285590,c_199]) ).
tcf(c_285623,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ doDivides0(sdtpldt0(xp,sK12),X0) ),
inference(superposition,[status(thm)],[c_285590,c_180]) ).
tcf(c_285624,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285590,c_176]) ).
tcf(c_285627,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285624,c_155,c_278944]) ).
tcf(c_285628,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285623,c_155,c_278944]) ).
tcf(c_285632,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK12),sz10)) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285621,c_156,c_155,c_278944]) ).
tcf(c_285633,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK12),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285620,c_156,c_155,c_278944]) ).
tcf(c_285636,plain,
( ( sdtpldt0(xp,sK12) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),sz10) ),
inference(superposition,[status(thm)],[c_285591,c_194]) ).
tcf(c_285637,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285591,c_165]) ).
tcf(c_285638,plain,
( iLess0(sz10,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285591,c_173]) ).
tcf(c_285639,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285591,c_193]) ).
tcf(c_285640,plain,
( iLess0(sz10,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285638,c_155,c_278944]) ).
tcf(c_285643,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285639,c_155,c_278944]) ).
tcf(c_285647,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285637,c_155,c_278944]) ).
tcf(c_285648,plain,
( ( sdtpldt0(xp,sK12) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285636,c_155,c_278944]) ).
tcf(c_285656,plain,
( doDivides0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279054,c_272]) ).
tcf(c_285658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK12))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279054,c_141]) ).
tcf(c_285659,plain,
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279054,c_137]) ).
tcf(c_285660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(superposition,[status(thm)],[c_279054,c_141]) ).
tcf(c_285661,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(sdtpldt0(xp,sK12),X0) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279054,c_145]) ).
tcf(c_285662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279054,c_139]) ).
tcf(c_285663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sdtpldt0(xp,sK12))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279054,c_139]) ).
tcf(c_285664,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279054,c_146]) ).
tcf(c_285665,plain,
doDivides0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285656,c_155,c_278944]) ).
tcf(c_285666,plain,
sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285659,c_156,c_155,c_278944]) ).
tcf(c_285667,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285664,c_156,c_155,c_278944]) ).
tcf(c_285671,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK12),X0) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285661,c_278949,c_155,c_278944]) ).
tcf(c_285675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK12),X0),sdtpldt0(xp,sK12))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285663,c_278949,c_155,c_278944]) ).
tcf(c_285680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285662,c_278949,c_155,c_278944]) ).
tcf(c_285685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285660,c_156,c_155,c_278944]) ).
tcf(c_285690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285658,c_156,c_155,c_278944]) ).
tcf(c_285695,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285665,c_196]) ).
tcf(c_285696,plain,
( ( sdtpldt0(xp,sK12) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK12),sdtsldt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285665,c_199]) ).
tcf(c_285699,plain,
( ( sdtasdt0(sdtpldt0(xp,sK12),sK20(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285665,c_176]) ).
tcf(c_285701,plain,
( doDivides0(sdtpldt0(xp,sK12),sK12)
| ~ aNaturalNumber0(sK12)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ doDivides0(sdtpldt0(xp,sK12),xp) ),
inference(superposition,[status(thm)],[c_285665,c_157]) ).
tcf(c_285702,plain,
sdtasdt0(sdtpldt0(xp,sK12),sK20(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285699,c_278944]) ).
tcf(c_285703,plain,
( doDivides0(sdtpldt0(xp,sK12),sK12)
| ~ doDivides0(sdtpldt0(xp,sK12),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285701,c_104,c_51,c_278944]) ).
tcf(c_285706,plain,
sdtasdt0(sdtpldt0(xp,sK12),sdtsldt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285696,c_278949,c_278944]) ).
tcf(c_285707,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285695,c_278949,c_278944]) ).
tcf(c_285711,plain,
( ( sdtpldt0(sdtpldt0(xp,sK12),sK19(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285666,c_165]) ).
tcf(c_285714,plain,
sdtpldt0(sdtpldt0(xp,sK12),sK19(sdtpldt0(xp,sK12),sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285711,c_278944]) ).
tcf(c_285719,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279055,c_275]) ).
tcf(c_285721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279055,c_162]) ).
tcf(c_285724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(superposition,[status(thm)],[c_279055,c_160]) ).
tcf(c_285725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279055,c_160]) ).
tcf(c_285726,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtpldt0(X0,sdtpldt0(xp,sK12)) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279055,c_167]) ).
tcf(c_285727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279055,c_162]) ).
tcf(c_285728,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279055,c_166]) ).
tcf(c_285729,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285719,c_151,c_278944]) ).
tcf(c_285730,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285728,c_151,c_278944]) ).
tcf(c_285734,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK12)) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285726,c_151,c_278944]) ).
tcf(c_285738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,sdtpldt0(xp,sK12)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285727,c_151,c_278944]) ).
tcf(c_285743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK12)),sdtpldt0(xp,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285721,c_151,c_278944]) ).
tcf(c_285748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285725,c_151,c_278944]) ).
tcf(c_285753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285724,c_151,c_278944]) ).
tcf(c_285758,plain,
( ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),sz00) ),
inference(superposition,[status(thm)],[c_285729,c_194]) ).
tcf(c_285759,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285729,c_165]) ).
tcf(c_285760,plain,
( iLess0(sz00,sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285729,c_173]) ).
tcf(c_285761,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_285729,c_193]) ).
tcf(c_285762,plain,
iLess0(sz00,sdtpldt0(xp,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_285760,c_278949,c_151,c_278944]) ).
tcf(c_285763,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK12))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285761,c_151,c_278944]) ).
tcf(c_285767,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK12))) = sdtpldt0(xp,sK12),
inference(forward_subsumption_resolution,[status(thm)],[c_285759,c_151,c_278944]) ).
tcf(c_285768,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK12),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_285758,c_278949,c_151,c_278944]) ).
tcf(c_285777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279056,c_162]) ).
tcf(c_285779,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ doDivides0(X0,sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279056,c_157]) ).
tcf(c_285780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279056,c_160]) ).
tcf(c_285781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK12),X0),sdtpldt0(xp,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12)) ),
inference(superposition,[status(thm)],[c_279056,c_160]) ).
tcf(c_285782,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279056,c_167]) ).
tcf(c_285783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(superposition,[status(thm)],[c_279056,c_162]) ).
tcf(c_285784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK12))
| ( sdtpldt0(sdtpldt0(xp,sK12),X0) != sdtpldt0(xp,sK12) ) ),
inference(superposition,[status(thm)],[c_279056,c_166]) ).
tcf(c_285785,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285779,c_151,c_278944]) ).
tcf(c_285789,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK12),X0) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285784,c_151,c_278944]) ).
tcf(c_285793,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285782,c_151,c_278944]) ).
tcf(c_285797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK12),X0),sdtpldt0(xp,sK12))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285781,c_151,c_278944]) ).
tcf(c_285802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(sdtpldt0(xp,sK12),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285780,c_151,c_278944]) ).
tcf(c_285807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK12),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285783,c_151,c_278944]) ).
tcf(c_285812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK12))
| ( sdtpldt0(xp,sK12) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285777,c_151,c_278944]) ).
tcf(c_285866,plain,
( doDivides0(sz10,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279222,c_272]) ).
tcf(c_285868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279222,c_141]) ).
tcf(c_285869,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279222,c_137]) ).
tcf(c_285870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279222,c_141]) ).
tcf(c_285871,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279222,c_145]) ).
tcf(c_285872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(superposition,[status(thm)],[c_279222,c_139]) ).
tcf(c_285873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279222,c_139]) ).
tcf(c_285874,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(X0,sdtpldt0(xp,sK13)) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279222,c_146]) ).
tcf(c_285875,plain,
doDivides0(sz10,sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_285866,c_155,c_279109]) ).
tcf(c_285876,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_285869,c_279114,c_155,c_279109]) ).
tcf(c_285877,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285871,c_156,c_155,c_279109]) ).
tcf(c_285881,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK13)) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285874,c_279114,c_155,c_279109]) ).
tcf(c_285885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285873,c_156,c_155,c_279109]) ).
tcf(c_285890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285872,c_156,c_155,c_279109]) ).
tcf(c_285895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285870,c_279114,c_155,c_279109]) ).
tcf(c_285900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285868,c_279114,c_155,c_279109]) ).
tcf(c_285905,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285875,c_196]) ).
tcf(c_285906,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK13),sz10)) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285875,c_199]) ).
tcf(c_285908,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ doDivides0(sdtpldt0(xp,sK13),X0) ),
inference(superposition,[status(thm)],[c_285875,c_180]) ).
tcf(c_285909,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285875,c_176]) ).
tcf(c_285912,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_285909,c_155,c_279109]) ).
tcf(c_285913,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285908,c_155,c_279109]) ).
tcf(c_285917,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK13),sz10)) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_285906,c_156,c_155,c_279109]) ).
tcf(c_285918,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK13),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285905,c_156,c_155,c_279109]) ).
tcf(c_285921,plain,
( ( sdtpldt0(xp,sK13) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),sz10) ),
inference(superposition,[status(thm)],[c_285876,c_194]) ).
tcf(c_285922,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285876,c_165]) ).
tcf(c_285923,plain,
( iLess0(sz10,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285876,c_173]) ).
tcf(c_285924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285876,c_193]) ).
tcf(c_285925,plain,
( iLess0(sz10,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285923,c_155,c_279109]) ).
tcf(c_285928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285924,c_155,c_279109]) ).
tcf(c_285932,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_285922,c_155,c_279109]) ).
tcf(c_285933,plain,
( ( sdtpldt0(xp,sK13) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285921,c_155,c_279109]) ).
tcf(c_285941,plain,
( doDivides0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279223,c_272]) ).
tcf(c_285943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK13))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279223,c_141]) ).
tcf(c_285944,plain,
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279223,c_137]) ).
tcf(c_285945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(superposition,[status(thm)],[c_279223,c_141]) ).
tcf(c_285946,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(sdtpldt0(xp,sK13),X0) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279223,c_145]) ).
tcf(c_285947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279223,c_139]) ).
tcf(c_285948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sdtpldt0(xp,sK13))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279223,c_139]) ).
tcf(c_285949,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279223,c_146]) ).
tcf(c_285950,plain,
doDivides0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_285941,c_155,c_279109]) ).
tcf(c_285951,plain,
sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_285944,c_156,c_155,c_279109]) ).
tcf(c_285952,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285949,c_156,c_155,c_279109]) ).
tcf(c_285956,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK13),X0) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285946,c_279114,c_155,c_279109]) ).
tcf(c_285960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK13),X0),sdtpldt0(xp,sK13))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285948,c_279114,c_155,c_279109]) ).
tcf(c_285965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285947,c_279114,c_155,c_279109]) ).
tcf(c_285970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285945,c_156,c_155,c_279109]) ).
tcf(c_285975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285943,c_156,c_155,c_279109]) ).
tcf(c_285980,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285950,c_196]) ).
tcf(c_285981,plain,
( ( sdtpldt0(xp,sK13) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK13),sdtsldt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285950,c_199]) ).
tcf(c_285984,plain,
( ( sdtasdt0(sdtpldt0(xp,sK13),sK20(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285950,c_176]) ).
tcf(c_285986,plain,
( doDivides0(sdtpldt0(xp,sK13),sK13)
| ~ aNaturalNumber0(sK13)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ doDivides0(sdtpldt0(xp,sK13),xp) ),
inference(superposition,[status(thm)],[c_285950,c_157]) ).
tcf(c_285987,plain,
sdtasdt0(sdtpldt0(xp,sK13),sK20(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_285984,c_279109]) ).
tcf(c_285988,plain,
( doDivides0(sdtpldt0(xp,sK13),sK13)
| ~ doDivides0(sdtpldt0(xp,sK13),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285986,c_106,c_51,c_279109]) ).
tcf(c_285991,plain,
sdtasdt0(sdtpldt0(xp,sK13),sdtsldt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_285981,c_279114,c_279109]) ).
tcf(c_285992,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285980,c_279114,c_279109]) ).
tcf(c_286090,plain,
( ( sdtpldt0(sdtpldt0(xp,sK13),sK19(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_285951,c_165]) ).
tcf(c_286093,plain,
sdtpldt0(sdtpldt0(xp,sK13),sK19(sdtpldt0(xp,sK13),sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_286090,c_279109]) ).
tcf(c_286098,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279224,c_275]) ).
tcf(c_286100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279224,c_162]) ).
tcf(c_286103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(superposition,[status(thm)],[c_279224,c_160]) ).
tcf(c_286104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279224,c_160]) ).
tcf(c_286105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtpldt0(X0,sdtpldt0(xp,sK13)) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279224,c_167]) ).
tcf(c_286106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279224,c_162]) ).
tcf(c_286107,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279224,c_166]) ).
tcf(c_286108,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_286098,c_151,c_279109]) ).
tcf(c_286109,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286107,c_151,c_279109]) ).
tcf(c_286113,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK13)) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286105,c_151,c_279109]) ).
tcf(c_286117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,sdtpldt0(xp,sK13)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286106,c_151,c_279109]) ).
tcf(c_286122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK13)),sdtpldt0(xp,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286100,c_151,c_279109]) ).
tcf(c_286127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286104,c_151,c_279109]) ).
tcf(c_286132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286103,c_151,c_279109]) ).
tcf(c_286137,plain,
( ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),sz00) ),
inference(superposition,[status(thm)],[c_286108,c_194]) ).
tcf(c_286138,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_286108,c_165]) ).
tcf(c_286139,plain,
( iLess0(sz00,sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_286108,c_173]) ).
tcf(c_286140,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_286108,c_193]) ).
tcf(c_286141,plain,
iLess0(sz00,sdtpldt0(xp,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_286139,c_279114,c_151,c_279109]) ).
tcf(c_286142,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK13))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286140,c_151,c_279109]) ).
tcf(c_286146,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK13))) = sdtpldt0(xp,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_286138,c_151,c_279109]) ).
tcf(c_286147,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK13),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_286137,c_279114,c_151,c_279109]) ).
tcf(c_286156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279225,c_162]) ).
tcf(c_286158,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ doDivides0(X0,sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279225,c_157]) ).
tcf(c_286159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279225,c_160]) ).
tcf(c_286160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK13),X0),sdtpldt0(xp,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13)) ),
inference(superposition,[status(thm)],[c_279225,c_160]) ).
tcf(c_286161,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279225,c_167]) ).
tcf(c_286162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(superposition,[status(thm)],[c_279225,c_162]) ).
tcf(c_286163,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK13))
| ( sdtpldt0(sdtpldt0(xp,sK13),X0) != sdtpldt0(xp,sK13) ) ),
inference(superposition,[status(thm)],[c_279225,c_166]) ).
tcf(c_286164,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286158,c_151,c_279109]) ).
tcf(c_286168,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK13),X0) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286163,c_151,c_279109]) ).
tcf(c_286172,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286161,c_151,c_279109]) ).
tcf(c_286176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK13),X0),sdtpldt0(xp,sK13))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286160,c_151,c_279109]) ).
tcf(c_286181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(sdtpldt0(xp,sK13),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286159,c_151,c_279109]) ).
tcf(c_286186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK13),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286162,c_151,c_279109]) ).
tcf(c_286191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK13))
| ( sdtpldt0(xp,sK13) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286156,c_151,c_279109]) ).
tcf(c_286201,plain,
( doDivides0(sz10,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279331,c_272]) ).
tcf(c_286203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279331,c_141]) ).
tcf(c_286204,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279331,c_137]) ).
tcf(c_286205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279331,c_141]) ).
tcf(c_286206,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279331,c_145]) ).
tcf(c_286207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(superposition,[status(thm)],[c_279331,c_139]) ).
tcf(c_286208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279331,c_139]) ).
tcf(c_286209,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(X0,sdtpldt0(xp,sK14)) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279331,c_146]) ).
tcf(c_286210,plain,
doDivides0(sz10,sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286201,c_155,c_279278]) ).
tcf(c_286211,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286204,c_279283,c_155,c_279278]) ).
tcf(c_286212,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286206,c_156,c_155,c_279278]) ).
tcf(c_286216,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK14)) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286209,c_279283,c_155,c_279278]) ).
tcf(c_286220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286208,c_156,c_155,c_279278]) ).
tcf(c_286225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286207,c_156,c_155,c_279278]) ).
tcf(c_286230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286205,c_279283,c_155,c_279278]) ).
tcf(c_286235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286203,c_279283,c_155,c_279278]) ).
tcf(c_286240,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286210,c_196]) ).
tcf(c_286241,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK14),sz10)) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286210,c_199]) ).
tcf(c_286243,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ doDivides0(sdtpldt0(xp,sK14),X0) ),
inference(superposition,[status(thm)],[c_286210,c_180]) ).
tcf(c_286244,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286210,c_176]) ).
tcf(c_286247,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286244,c_155,c_279278]) ).
tcf(c_286248,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286243,c_155,c_279278]) ).
tcf(c_286252,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK14),sz10)) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286241,c_156,c_155,c_279278]) ).
tcf(c_286253,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK14),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286240,c_156,c_155,c_279278]) ).
tcf(c_286256,plain,
( ( sdtpldt0(xp,sK14) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),sz10) ),
inference(superposition,[status(thm)],[c_286211,c_194]) ).
tcf(c_286257,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286211,c_165]) ).
tcf(c_286258,plain,
( iLess0(sz10,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286211,c_173]) ).
tcf(c_286259,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286211,c_193]) ).
tcf(c_286260,plain,
( iLess0(sz10,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286258,c_155,c_279278]) ).
tcf(c_286263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286259,c_155,c_279278]) ).
tcf(c_286267,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286257,c_155,c_279278]) ).
tcf(c_286268,plain,
( ( sdtpldt0(xp,sK14) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286256,c_155,c_279278]) ).
tcf(c_286276,plain,
( doDivides0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279332,c_272]) ).
tcf(c_286278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK14))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279332,c_141]) ).
tcf(c_286279,plain,
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279332,c_137]) ).
tcf(c_286280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(superposition,[status(thm)],[c_279332,c_141]) ).
tcf(c_286281,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(sdtpldt0(xp,sK14),X0) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279332,c_145]) ).
tcf(c_286282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279332,c_139]) ).
tcf(c_286283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sdtpldt0(xp,sK14))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279332,c_139]) ).
tcf(c_286284,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279332,c_146]) ).
tcf(c_286285,plain,
doDivides0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286276,c_155,c_279278]) ).
tcf(c_286286,plain,
sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286279,c_156,c_155,c_279278]) ).
tcf(c_286287,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286284,c_156,c_155,c_279278]) ).
tcf(c_286291,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK14),X0) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286281,c_279283,c_155,c_279278]) ).
tcf(c_286295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK14),X0),sdtpldt0(xp,sK14))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286283,c_279283,c_155,c_279278]) ).
tcf(c_286300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286282,c_279283,c_155,c_279278]) ).
tcf(c_286305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286280,c_156,c_155,c_279278]) ).
tcf(c_286310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286278,c_156,c_155,c_279278]) ).
tcf(c_286347,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286285,c_196]) ).
tcf(c_286348,plain,
( ( sdtpldt0(xp,sK14) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK14),sdtsldt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286285,c_199]) ).
tcf(c_286351,plain,
( ( sdtasdt0(sdtpldt0(xp,sK14),sK20(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286285,c_176]) ).
tcf(c_286353,plain,
( doDivides0(sdtpldt0(xp,sK14),sK14)
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ doDivides0(sdtpldt0(xp,sK14),xp) ),
inference(superposition,[status(thm)],[c_286285,c_157]) ).
tcf(c_286354,plain,
sdtasdt0(sdtpldt0(xp,sK14),sK20(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286351,c_279278]) ).
tcf(c_286355,plain,
( doDivides0(sdtpldt0(xp,sK14),sK14)
| ~ doDivides0(sdtpldt0(xp,sK14),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286353,c_110,c_51,c_279278]) ).
tcf(c_286358,plain,
sdtasdt0(sdtpldt0(xp,sK14),sdtsldt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286348,c_279283,c_279278]) ).
tcf(c_286359,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286347,c_279283,c_279278]) ).
tcf(c_286363,plain,
( ( sdtpldt0(sdtpldt0(xp,sK14),sK19(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286286,c_165]) ).
tcf(c_286366,plain,
sdtpldt0(sdtpldt0(xp,sK14),sK19(sdtpldt0(xp,sK14),sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286363,c_279278]) ).
tcf(c_286371,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279333,c_275]) ).
tcf(c_286373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279333,c_162]) ).
tcf(c_286376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(superposition,[status(thm)],[c_279333,c_160]) ).
tcf(c_286377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279333,c_160]) ).
tcf(c_286378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtpldt0(X0,sdtpldt0(xp,sK14)) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279333,c_167]) ).
tcf(c_286379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279333,c_162]) ).
tcf(c_286380,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279333,c_166]) ).
tcf(c_286381,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286371,c_151,c_279278]) ).
tcf(c_286382,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286380,c_151,c_279278]) ).
tcf(c_286386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK14)) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286378,c_151,c_279278]) ).
tcf(c_286390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,sdtpldt0(xp,sK14)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286379,c_151,c_279278]) ).
tcf(c_286395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK14)),sdtpldt0(xp,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286373,c_151,c_279278]) ).
tcf(c_286400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286377,c_151,c_279278]) ).
tcf(c_286405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286376,c_151,c_279278]) ).
tcf(c_286410,plain,
( ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),sz00) ),
inference(superposition,[status(thm)],[c_286381,c_194]) ).
tcf(c_286411,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286381,c_165]) ).
tcf(c_286412,plain,
( iLess0(sz00,sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286381,c_173]) ).
tcf(c_286413,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_286381,c_193]) ).
tcf(c_286414,plain,
iLess0(sz00,sdtpldt0(xp,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_286412,c_279283,c_151,c_279278]) ).
tcf(c_286415,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK14))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286413,c_151,c_279278]) ).
tcf(c_286419,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK14))) = sdtpldt0(xp,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_286411,c_151,c_279278]) ).
tcf(c_286420,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK14),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_286410,c_279283,c_151,c_279278]) ).
tcf(c_287389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279334,c_162]) ).
tcf(c_287391,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ doDivides0(X0,sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279334,c_157]) ).
tcf(c_287392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279334,c_160]) ).
tcf(c_287393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK14),X0),sdtpldt0(xp,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14)) ),
inference(superposition,[status(thm)],[c_279334,c_160]) ).
tcf(c_287394,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279334,c_167]) ).
tcf(c_287395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(superposition,[status(thm)],[c_279334,c_162]) ).
tcf(c_287396,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK14))
| ( sdtpldt0(sdtpldt0(xp,sK14),X0) != sdtpldt0(xp,sK14) ) ),
inference(superposition,[status(thm)],[c_279334,c_166]) ).
tcf(c_287397,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287391,c_151,c_279278]) ).
tcf(c_287401,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK14),X0) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287396,c_151,c_279278]) ).
tcf(c_287405,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287394,c_151,c_279278]) ).
tcf(c_287409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK14),X0),sdtpldt0(xp,sK14))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287393,c_151,c_279278]) ).
tcf(c_287414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(sdtpldt0(xp,sK14),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287392,c_151,c_279278]) ).
tcf(c_287419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK14),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287395,c_151,c_279278]) ).
tcf(c_287424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK14))
| ( sdtpldt0(xp,sK14) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287389,c_151,c_279278]) ).
tcf(c_287434,plain,
( doDivides0(sz10,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279540,c_272]) ).
tcf(c_287436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279540,c_141]) ).
tcf(c_287437,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279540,c_137]) ).
tcf(c_287438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279540,c_141]) ).
tcf(c_287439,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279540,c_145]) ).
tcf(c_287440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(superposition,[status(thm)],[c_279540,c_139]) ).
tcf(c_287441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279540,c_139]) ).
tcf(c_287442,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(X0,sdtpldt0(xp,sK17)) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279540,c_146]) ).
tcf(c_287443,plain,
doDivides0(sz10,sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287434,c_155,c_279487]) ).
tcf(c_287444,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287437,c_279492,c_155,c_279487]) ).
tcf(c_287445,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287439,c_156,c_155,c_279487]) ).
tcf(c_287449,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK17)) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287442,c_279492,c_155,c_279487]) ).
tcf(c_287453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287441,c_156,c_155,c_279487]) ).
tcf(c_287458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287440,c_156,c_155,c_279487]) ).
tcf(c_287463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287438,c_279492,c_155,c_279487]) ).
tcf(c_287468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287436,c_279492,c_155,c_279487]) ).
tcf(c_287473,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287443,c_196]) ).
tcf(c_287474,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK17),sz10)) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287443,c_199]) ).
tcf(c_287476,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ doDivides0(sdtpldt0(xp,sK17),X0) ),
inference(superposition,[status(thm)],[c_287443,c_180]) ).
tcf(c_287477,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287443,c_176]) ).
tcf(c_287480,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287477,c_155,c_279487]) ).
tcf(c_287481,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287476,c_155,c_279487]) ).
tcf(c_287485,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK17),sz10)) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287474,c_156,c_155,c_279487]) ).
tcf(c_287486,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK17),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287473,c_156,c_155,c_279487]) ).
tcf(c_287489,plain,
( ( sdtpldt0(xp,sK17) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),sz10) ),
inference(superposition,[status(thm)],[c_287444,c_194]) ).
tcf(c_287490,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287444,c_165]) ).
tcf(c_287491,plain,
( iLess0(sz10,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287444,c_173]) ).
tcf(c_287492,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287444,c_193]) ).
tcf(c_287493,plain,
( iLess0(sz10,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287491,c_155,c_279487]) ).
tcf(c_287496,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287492,c_155,c_279487]) ).
tcf(c_287500,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287490,c_155,c_279487]) ).
tcf(c_287501,plain,
( ( sdtpldt0(xp,sK17) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287489,c_155,c_279487]) ).
tcf(c_287525,plain,
( doDivides0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279541,c_272]) ).
tcf(c_287527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK17))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279541,c_141]) ).
tcf(c_287528,plain,
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279541,c_137]) ).
tcf(c_287529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(superposition,[status(thm)],[c_279541,c_141]) ).
tcf(c_287530,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(sdtpldt0(xp,sK17),X0) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279541,c_145]) ).
tcf(c_287531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279541,c_139]) ).
tcf(c_287532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sdtpldt0(xp,sK17))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279541,c_139]) ).
tcf(c_287533,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279541,c_146]) ).
tcf(c_287534,plain,
doDivides0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287525,c_155,c_279487]) ).
tcf(c_287535,plain,
sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287528,c_156,c_155,c_279487]) ).
tcf(c_287536,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287533,c_156,c_155,c_279487]) ).
tcf(c_287540,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK17),X0) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287530,c_279492,c_155,c_279487]) ).
tcf(c_287544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK17),X0),sdtpldt0(xp,sK17))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287532,c_279492,c_155,c_279487]) ).
tcf(c_287549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287531,c_279492,c_155,c_279487]) ).
tcf(c_287554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287529,c_156,c_155,c_279487]) ).
tcf(c_287559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287527,c_156,c_155,c_279487]) ).
tcf(c_287618,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287534,c_196]) ).
tcf(c_287619,plain,
( ( sdtpldt0(xp,sK17) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK17),sdtsldt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287534,c_199]) ).
tcf(c_287622,plain,
( ( sdtasdt0(sdtpldt0(xp,sK17),sK20(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287534,c_176]) ).
tcf(c_287624,plain,
( doDivides0(sdtpldt0(xp,sK17),sK17)
| ~ aNaturalNumber0(sK17)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ doDivides0(sdtpldt0(xp,sK17),xp) ),
inference(superposition,[status(thm)],[c_287534,c_157]) ).
tcf(c_287625,plain,
sdtasdt0(sdtpldt0(xp,sK17),sK20(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287622,c_279487]) ).
tcf(c_287626,plain,
( doDivides0(sdtpldt0(xp,sK17),sK17)
| ~ doDivides0(sdtpldt0(xp,sK17),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287624,c_119,c_51,c_279487]) ).
tcf(c_287629,plain,
sdtasdt0(sdtpldt0(xp,sK17),sdtsldt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287619,c_279492,c_279487]) ).
tcf(c_287630,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287618,c_279492,c_279487]) ).
tcf(c_287650,plain,
( ( sdtpldt0(sdtpldt0(xp,sK17),sK19(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287535,c_165]) ).
tcf(c_287653,plain,
sdtpldt0(sdtpldt0(xp,sK17),sK19(sdtpldt0(xp,sK17),sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287650,c_279487]) ).
tcf(c_287658,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279542,c_275]) ).
tcf(c_287660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279542,c_162]) ).
tcf(c_287663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(superposition,[status(thm)],[c_279542,c_160]) ).
tcf(c_287664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279542,c_160]) ).
tcf(c_287665,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtpldt0(X0,sdtpldt0(xp,sK17)) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279542,c_167]) ).
tcf(c_287666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279542,c_162]) ).
tcf(c_287667,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279542,c_166]) ).
tcf(c_287668,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287658,c_151,c_279487]) ).
tcf(c_287669,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287667,c_151,c_279487]) ).
tcf(c_287673,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK17)) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287665,c_151,c_279487]) ).
tcf(c_287677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,sdtpldt0(xp,sK17)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287666,c_151,c_279487]) ).
tcf(c_287682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK17)),sdtpldt0(xp,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287660,c_151,c_279487]) ).
tcf(c_287687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287664,c_151,c_279487]) ).
tcf(c_287692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287663,c_151,c_279487]) ).
tcf(c_287703,plain,
( ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),sz00) ),
inference(superposition,[status(thm)],[c_287668,c_194]) ).
tcf(c_287704,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287668,c_165]) ).
tcf(c_287705,plain,
( iLess0(sz00,sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287668,c_173]) ).
tcf(c_287706,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_287668,c_193]) ).
tcf(c_287707,plain,
iLess0(sz00,sdtpldt0(xp,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_287705,c_279492,c_151,c_279487]) ).
tcf(c_287708,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK17))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287706,c_151,c_279487]) ).
tcf(c_287712,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK17))) = sdtpldt0(xp,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_287704,c_151,c_279487]) ).
tcf(c_287713,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK17),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_287703,c_279492,c_151,c_279487]) ).
tcf(c_287730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279543,c_162]) ).
tcf(c_287732,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ doDivides0(X0,sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279543,c_157]) ).
tcf(c_287733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279543,c_160]) ).
tcf(c_287734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK17),X0),sdtpldt0(xp,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17)) ),
inference(superposition,[status(thm)],[c_279543,c_160]) ).
tcf(c_287735,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279543,c_167]) ).
tcf(c_287736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(superposition,[status(thm)],[c_279543,c_162]) ).
tcf(c_287737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK17))
| ( sdtpldt0(sdtpldt0(xp,sK17),X0) != sdtpldt0(xp,sK17) ) ),
inference(superposition,[status(thm)],[c_279543,c_166]) ).
tcf(c_287738,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287732,c_151,c_279487]) ).
tcf(c_287742,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK17),X0) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287737,c_151,c_279487]) ).
tcf(c_287746,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287735,c_151,c_279487]) ).
tcf(c_287750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK17),X0),sdtpldt0(xp,sK17))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287734,c_151,c_279487]) ).
tcf(c_287755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(sdtpldt0(xp,sK17),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287733,c_151,c_279487]) ).
tcf(c_287760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK17),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287736,c_151,c_279487]) ).
tcf(c_287765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK17))
| ( sdtpldt0(xp,sK17) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287730,c_151,c_279487]) ).
tcf(c_287803,plain,
( doDivides0(sz10,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279796,c_272]) ).
tcf(c_287805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279796,c_141]) ).
tcf(c_287806,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279796,c_137]) ).
tcf(c_287807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279796,c_141]) ).
tcf(c_287808,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279796,c_145]) ).
tcf(c_287809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(superposition,[status(thm)],[c_279796,c_139]) ).
tcf(c_287810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279796,c_139]) ).
tcf(c_287811,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(X0,sdtpldt0(xp,sK18)) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279796,c_146]) ).
tcf(c_287812,plain,
doDivides0(sz10,sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_287803,c_155,c_279743]) ).
tcf(c_287813,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_287806,c_279748,c_155,c_279743]) ).
tcf(c_287814,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287808,c_156,c_155,c_279743]) ).
tcf(c_287818,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK18)) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287811,c_279748,c_155,c_279743]) ).
tcf(c_287822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287810,c_156,c_155,c_279743]) ).
tcf(c_287827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287809,c_156,c_155,c_279743]) ).
tcf(c_287832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287807,c_279748,c_155,c_279743]) ).
tcf(c_287837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287805,c_279748,c_155,c_279743]) ).
tcf(c_287842,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287812,c_196]) ).
tcf(c_287843,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK18),sz10)) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287812,c_199]) ).
tcf(c_287845,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ doDivides0(sdtpldt0(xp,sK18),X0) ),
inference(superposition,[status(thm)],[c_287812,c_180]) ).
tcf(c_287846,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287812,c_176]) ).
tcf(c_287849,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_287846,c_155,c_279743]) ).
tcf(c_287850,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287845,c_155,c_279743]) ).
tcf(c_287854,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sK18),sz10)) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_287843,c_156,c_155,c_279743]) ).
tcf(c_287855,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK18),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287842,c_156,c_155,c_279743]) ).
tcf(c_287858,plain,
( ( sdtpldt0(xp,sK18) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),sz10) ),
inference(superposition,[status(thm)],[c_287813,c_194]) ).
tcf(c_287859,plain,
( ( sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287813,c_165]) ).
tcf(c_287860,plain,
( iLess0(sz10,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287813,c_173]) ).
tcf(c_287861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287813,c_193]) ).
tcf(c_287862,plain,
( iLess0(sz10,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287860,c_155,c_279743]) ).
tcf(c_287865,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287861,c_155,c_279743]) ).
tcf(c_287869,plain,
sdtpldt0(sz10,sK19(sz10,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_287859,c_155,c_279743]) ).
tcf(c_287870,plain,
( ( sdtpldt0(xp,sK18) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287858,c_155,c_279743]) ).
tcf(c_287904,plain,
( doDivides0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279797,c_272]) ).
tcf(c_287906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK18))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279797,c_141]) ).
tcf(c_287907,plain,
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279797,c_137]) ).
tcf(c_287908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(superposition,[status(thm)],[c_279797,c_141]) ).
tcf(c_287909,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(sdtpldt0(xp,sK18),X0) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279797,c_145]) ).
tcf(c_287910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279797,c_139]) ).
tcf(c_287911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sdtpldt0(xp,sK18))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279797,c_139]) ).
tcf(c_287912,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279797,c_146]) ).
tcf(c_287913,plain,
doDivides0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_287904,c_155,c_279743]) ).
tcf(c_287914,plain,
sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_287907,c_156,c_155,c_279743]) ).
tcf(c_287915,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287912,c_156,c_155,c_279743]) ).
tcf(c_287919,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK18),X0) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287909,c_279748,c_155,c_279743]) ).
tcf(c_287923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK18),X0),sdtpldt0(xp,sK18))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287911,c_279748,c_155,c_279743]) ).
tcf(c_287928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287910,c_279748,c_155,c_279743]) ).
tcf(c_287933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287908,c_156,c_155,c_279743]) ).
tcf(c_287938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287906,c_156,c_155,c_279743]) ).
tcf(c_287988,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287913,c_196]) ).
tcf(c_287989,plain,
( ( sdtpldt0(xp,sK18) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK18),sdtsldt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287913,c_199]) ).
tcf(c_287992,plain,
( ( sdtasdt0(sdtpldt0(xp,sK18),sK20(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287913,c_176]) ).
tcf(c_287994,plain,
( doDivides0(sdtpldt0(xp,sK18),sK18)
| ~ aNaturalNumber0(sK18)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ doDivides0(sdtpldt0(xp,sK18),xp) ),
inference(superposition,[status(thm)],[c_287913,c_157]) ).
tcf(c_287995,plain,
sdtasdt0(sdtpldt0(xp,sK18),sK20(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_287992,c_279743]) ).
tcf(c_287996,plain,
( doDivides0(sdtpldt0(xp,sK18),sK18)
| ~ doDivides0(sdtpldt0(xp,sK18),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287994,c_127,c_51,c_279743]) ).
tcf(c_287999,plain,
sdtasdt0(sdtpldt0(xp,sK18),sdtsldt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_287989,c_279748,c_279743]) ).
tcf(c_288000,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287988,c_279748,c_279743]) ).
tcf(c_288004,plain,
( ( sdtpldt0(sdtpldt0(xp,sK18),sK19(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_287914,c_165]) ).
tcf(c_288007,plain,
sdtpldt0(sdtpldt0(xp,sK18),sK19(sdtpldt0(xp,sK18),sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_288004,c_279743]) ).
tcf(c_288012,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279798,c_275]) ).
tcf(c_288014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279798,c_162]) ).
tcf(c_288017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(superposition,[status(thm)],[c_279798,c_160]) ).
tcf(c_288018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279798,c_160]) ).
tcf(c_288019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtpldt0(X0,sdtpldt0(xp,sK18)) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279798,c_167]) ).
tcf(c_288020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279798,c_162]) ).
tcf(c_288021,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279798,c_166]) ).
tcf(c_288022,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_288012,c_151,c_279743]) ).
tcf(c_288023,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288021,c_151,c_279743]) ).
tcf(c_288027,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK18)) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288019,c_151,c_279743]) ).
tcf(c_288031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,sdtpldt0(xp,sK18)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288020,c_151,c_279743]) ).
tcf(c_288036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK18)),sdtpldt0(xp,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288014,c_151,c_279743]) ).
tcf(c_288041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288018,c_151,c_279743]) ).
tcf(c_288046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288017,c_151,c_279743]) ).
tcf(c_288077,plain,
( ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),sz00) ),
inference(superposition,[status(thm)],[c_288022,c_194]) ).
tcf(c_288078,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_288022,c_165]) ).
tcf(c_288079,plain,
( iLess0(sz00,sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_288022,c_173]) ).
tcf(c_288080,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_288022,c_193]) ).
tcf(c_288081,plain,
iLess0(sz00,sdtpldt0(xp,sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_288079,c_279748,c_151,c_279743]) ).
tcf(c_288082,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK18))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288080,c_151,c_279743]) ).
tcf(c_288086,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sK18))) = sdtpldt0(xp,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_288078,c_151,c_279743]) ).
tcf(c_288087,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK18),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_288077,c_279748,c_151,c_279743]) ).
tcf(c_288096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279799,c_162]) ).
tcf(c_288098,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ doDivides0(X0,sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279799,c_157]) ).
tcf(c_288099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279799,c_160]) ).
tcf(c_288100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK18),X0),sdtpldt0(xp,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18)) ),
inference(superposition,[status(thm)],[c_279799,c_160]) ).
tcf(c_288101,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279799,c_167]) ).
tcf(c_288102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(superposition,[status(thm)],[c_279799,c_162]) ).
tcf(c_288103,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK18))
| ( sdtpldt0(sdtpldt0(xp,sK18),X0) != sdtpldt0(xp,sK18) ) ),
inference(superposition,[status(thm)],[c_279799,c_166]) ).
tcf(c_288104,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288098,c_151,c_279743]) ).
tcf(c_288108,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK18),X0) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288103,c_151,c_279743]) ).
tcf(c_288112,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK18) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288101,c_151,c_279743]) ).
tcf(c_288116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK18),X0),sdtpldt0(xp,sK18))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288100,c_151,c_279743]) ).
tcf(c_288121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(sdtpldt0(xp,sK18),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288099,c_151,c_279743]) ).
tcf(c_288126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK18),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK18),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288102,c_151,c_279743]) ).
tcf(c_288131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK18))
| ( sdtpldt0(xp,sK18) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288096,c_151,c_279743]) ).
tcf(c_288141,plain,
( doDivides0(sz10,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280146,c_272]) ).
tcf(c_288143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280146,c_141]) ).
tcf(c_288145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280146,c_141]) ).
tcf(c_288146,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280146,c_145]) ).
tcf(c_288147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_280146,c_139]) ).
tcf(c_288148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280146,c_139]) ).
tcf(c_288149,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(X0,sdtpldt0(xp,sz10)) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280146,c_146]) ).
tcf(c_288150,plain,
doDivides0(sz10,sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_288141,c_155,c_280015]) ).
tcf(c_288151,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288146,c_156,c_155,c_280015]) ).
tcf(c_288155,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sz10)) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288149,c_280017,c_155,c_280015]) ).
tcf(c_288159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288148,c_156,c_155,c_280015]) ).
tcf(c_288164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288147,c_156,c_155,c_280015]) ).
tcf(c_288169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288145,c_280017,c_155,c_280015]) ).
tcf(c_288174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288143,c_280017,c_155,c_280015]) ).
tcf(c_288205,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sz10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288150,c_196]) ).
tcf(c_288206,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sz10),sz10)) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288150,c_199]) ).
tcf(c_288208,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ doDivides0(sdtpldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_288150,c_180]) ).
tcf(c_288209,plain,
( ( sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288150,c_176]) ).
tcf(c_288212,plain,
sdtasdt0(sz10,sK20(sz10,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288209,c_155,c_280015]) ).
tcf(c_288213,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288208,c_155,c_280015]) ).
tcf(c_288217,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,sz10),sz10)) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288206,c_156,c_155,c_280015]) ).
tcf(c_288218,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sz10),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288205,c_156,c_155,c_280015]) ).
tcf(c_288226,plain,
( doDivides0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280147,c_272]) ).
tcf(c_288228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280147,c_141]) ).
tcf(c_288229,plain,
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280147,c_137]) ).
tcf(c_288230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_280147,c_141]) ).
tcf(c_288231,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(sdtpldt0(xp,sz10),X0) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280147,c_145]) ).
tcf(c_288232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280147,c_139]) ).
tcf(c_288233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280147,c_139]) ).
tcf(c_288234,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280147,c_146]) ).
tcf(c_288235,plain,
doDivides0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_288226,c_155,c_280015]) ).
tcf(c_288236,plain,
sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_288229,c_156,c_155,c_280015]) ).
tcf(c_288237,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288234,c_156,c_155,c_280015]) ).
tcf(c_288241,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sz10),X0) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288231,c_280017,c_155,c_280015]) ).
tcf(c_288245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sz10),X0),sdtpldt0(xp,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288233,c_280017,c_155,c_280015]) ).
tcf(c_288250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288232,c_280017,c_155,c_280015]) ).
tcf(c_288255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288230,c_156,c_155,c_280015]) ).
tcf(c_288260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288228,c_156,c_155,c_280015]) ).
tcf(c_288265,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288235,c_196]) ).
tcf(c_288266,plain,
( ( sdtpldt0(xp,sz10) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sz10),sdtsldt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288235,c_199]) ).
tcf(c_288269,plain,
( ( sdtasdt0(sdtpldt0(xp,sz10),sK20(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288235,c_176]) ).
tcf(c_288271,plain,
( doDivides0(sdtpldt0(xp,sz10),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ doDivides0(sdtpldt0(xp,sz10),xp) ),
inference(superposition,[status(thm)],[c_288235,c_157]) ).
tcf(c_288272,plain,
sdtasdt0(sdtpldt0(xp,sz10),sK20(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288269,c_280015]) ).
tcf(c_288273,plain,
( doDivides0(sdtpldt0(xp,sz10),sz10)
| ~ doDivides0(sdtpldt0(xp,sz10),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288271,c_155,c_51,c_280015]) ).
tcf(c_288276,plain,
sdtasdt0(sdtpldt0(xp,sz10),sdtsldt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288266,c_280017,c_280015]) ).
tcf(c_288277,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288265,c_280017,c_280015]) ).
tcf(c_288344,plain,
( ( sdtpldt0(sdtpldt0(xp,sz10),sK19(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288236,c_165]) ).
tcf(c_288347,plain,
sdtpldt0(sdtpldt0(xp,sz10),sK19(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288344,c_280015]) ).
tcf(c_288352,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280148,c_275]) ).
tcf(c_288354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280148,c_162]) ).
tcf(c_288357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_280148,c_160]) ).
tcf(c_288358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280148,c_160]) ).
tcf(c_288359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtpldt0(X0,sdtpldt0(xp,sz10)) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280148,c_167]) ).
tcf(c_288360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280148,c_162]) ).
tcf(c_288361,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280148,c_166]) ).
tcf(c_288362,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_288352,c_151,c_280015]) ).
tcf(c_288363,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288361,c_151,c_280015]) ).
tcf(c_288367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sz10)) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288359,c_151,c_280015]) ).
tcf(c_288371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,sdtpldt0(xp,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288360,c_151,c_280015]) ).
tcf(c_288376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288354,c_151,c_280015]) ).
tcf(c_288381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288358,c_151,c_280015]) ).
tcf(c_288386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288357,c_151,c_280015]) ).
tcf(c_288391,plain,
( ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),sz00) ),
inference(superposition,[status(thm)],[c_288362,c_194]) ).
tcf(c_288392,plain,
( ( sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288362,c_165]) ).
tcf(c_288393,plain,
( iLess0(sz00,sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288362,c_173]) ).
tcf(c_288394,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_288362,c_193]) ).
tcf(c_288395,plain,
iLess0(sz00,sdtpldt0(xp,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_288393,c_280017,c_151,c_280015]) ).
tcf(c_288396,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sz10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288394,c_151,c_280015]) ).
tcf(c_288400,plain,
sdtpldt0(sz00,sK19(sz00,sdtpldt0(xp,sz10))) = sdtpldt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_288392,c_151,c_280015]) ).
tcf(c_288401,plain,
~ sdtlseqdt0(sdtpldt0(xp,sz10),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_288391,c_280017,c_151,c_280015]) ).
tcf(c_288455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280149,c_162]) ).
tcf(c_288457,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ doDivides0(X0,sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280149,c_157]) ).
tcf(c_288458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280149,c_160]) ).
tcf(c_288459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(xp,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_280149,c_160]) ).
tcf(c_288460,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280149,c_167]) ).
tcf(c_288461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_280149,c_162]) ).
tcf(c_288462,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sz10))
| ( sdtpldt0(sdtpldt0(xp,sz10),X0) != sdtpldt0(xp,sz10) ) ),
inference(superposition,[status(thm)],[c_280149,c_166]) ).
tcf(c_288463,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288457,c_151,c_280015]) ).
tcf(c_288467,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sz10),X0) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288462,c_151,c_280015]) ).
tcf(c_288471,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288460,c_151,c_280015]) ).
tcf(c_288475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sz10),X0),sdtpldt0(xp,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288459,c_151,c_280015]) ).
tcf(c_288480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(sdtpldt0(xp,sz10),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288458,c_151,c_280015]) ).
tcf(c_288485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sz10),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288461,c_151,c_280015]) ).
tcf(c_288490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sz10))
| ( sdtpldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288455,c_151,c_280015]) ).
tcf(c_288502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),sK8) = sdtpldt0(sK8,sK4(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_191571]) ).
tcf(c_288506,plain,
sdtpldt0(sK8,sK9) = sdtpldt0(sK9,sK8),
inference(superposition,[status(thm)],[c_81,c_191571]) ).
tcf(c_288507,plain,
sdtpldt0(sK8,sK10) = sdtpldt0(sK10,sK8),
inference(superposition,[status(thm)],[c_85,c_191571]) ).
tcf(c_288508,plain,
sdtpldt0(sK8,xk) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_88,c_191571]) ).
tcf(c_288509,plain,
sdtpldt0(sK8,xr) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_95,c_191571]) ).
tcf(c_288510,plain,
sdtpldt0(sK8,sK11) = sdtpldt0(sK11,sK8),
inference(superposition,[status(thm)],[c_96,c_191571]) ).
tcf(c_288511,plain,
sdtpldt0(sK8,sK12) = sdtpldt0(sK12,sK8),
inference(superposition,[status(thm)],[c_104,c_191571]) ).
tcf(c_288512,plain,
sdtpldt0(sK8,sK13) = sdtpldt0(sK13,sK8),
inference(superposition,[status(thm)],[c_106,c_191571]) ).
tcf(c_288513,plain,
sdtpldt0(sK8,sK14) = sdtpldt0(sK14,sK8),
inference(superposition,[status(thm)],[c_110,c_191571]) ).
tcf(c_288515,plain,
( sP2
| ( sdtpldt0(sK8,sK16) = sdtpldt0(sK16,sK8) ) ),
inference(superposition,[status(thm)],[c_116,c_191571]) ).
tcf(c_288516,plain,
sdtpldt0(sK8,sK17) = sdtpldt0(sK17,sK8),
inference(superposition,[status(thm)],[c_119,c_191571]) ).
tcf(c_288517,plain,
sdtpldt0(sdtsldt0(xn,xr),sK8) = sdtpldt0(sK8,sdtsldt0(xn,xr)),
inference(superposition,[status(thm)],[c_125,c_191571]) ).
tcf(c_288518,plain,
sdtpldt0(sK8,sK18) = sdtpldt0(sK18,sK8),
inference(superposition,[status(thm)],[c_127,c_191571]) ).
tcf(c_288519,plain,
sdtpldt0(sz00,sK8) = sdtpldt0(sK8,sz00),
inference(superposition,[status(thm)],[c_151,c_191571]) ).
tcf(c_288520,plain,
sdtpldt0(sz10,sK8) = sdtpldt0(sK8,sz10),
inference(superposition,[status(thm)],[c_155,c_191571]) ).
tcf(c_288521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK8) = sdtpldt0(sK8,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_172,c_191571]) ).
tcf(c_288522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK19(X0,X1),sK8) = sdtpldt0(sK8,sK19(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_191571]) ).
tcf(c_288523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK8) = sdtpldt0(sK8,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_179,c_191571]) ).
tcf(c_288524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK20(X0,X1),sK8) = sdtpldt0(sK8,sK20(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_191571]) ).
tcf(c_288525,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK21(X0),sK8) = sdtpldt0(sK8,sK21(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_181,c_191571]) ).
tcf(c_288526,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK22(X0),sK8) = sdtpldt0(sK8,sK22(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_186,c_191571]) ).
tcf(c_288527,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK8) = sdtpldt0(sK8,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_198,c_191571]) ).
tcf(c_288529,plain,
sdtpldt0(sdtasdt0(xn,xm),sK8) = sdtpldt0(sK8,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_191219,c_191571]) ).
tcf(c_288530,plain,
sdtpldt0(sdtpldt0(xn,xp),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_234461,c_191571]) ).
tcf(c_288531,plain,
sdtpldt0(sdtpldt0(xn,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_234277,c_191571]) ).
tcf(c_288532,plain,
sdtpldt0(sdtpldt0(xn,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK8)),
inference(superposition,[status(thm)],[c_234636,c_191571]) ).
tcf(c_288533,plain,
sdtpldt0(sdtpldt0(xn,sK10),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK10)),
inference(superposition,[status(thm)],[c_234937,c_191571]) ).
tcf(c_288534,plain,
sdtpldt0(sdtpldt0(xn,xk),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xk)),
inference(superposition,[status(thm)],[c_235068,c_191571]) ).
tcf(c_288535,plain,
sdtpldt0(sdtpldt0(xn,xr),sK8) = sdtpldt0(sK8,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_235253,c_191571]) ).
tcf(c_288536,plain,
sdtpldt0(sdtpldt0(xn,sK11),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK11)),
inference(superposition,[status(thm)],[c_235479,c_191571]) ).
tcf(c_288537,plain,
sdtpldt0(sdtpldt0(xn,sK12),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK12)),
inference(superposition,[status(thm)],[c_235887,c_191571]) ).
tcf(c_288538,plain,
sdtpldt0(sdtpldt0(xn,sK13),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK13)),
inference(superposition,[status(thm)],[c_236573,c_191571]) ).
tcf(c_288539,plain,
sdtpldt0(sdtpldt0(xn,sK14),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK14)),
inference(superposition,[status(thm)],[c_236704,c_191571]) ).
tcf(c_288540,plain,
sdtpldt0(sdtpldt0(xn,sK17),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK17)),
inference(superposition,[status(thm)],[c_236870,c_191571]) ).
tcf(c_288541,plain,
sdtpldt0(sdtpldt0(xn,sK18),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sK18)),
inference(superposition,[status(thm)],[c_237207,c_191571]) ).
tcf(c_288542,plain,
sdtpldt0(sdtpldt0(xn,sz10),sK8) = sdtpldt0(sK8,sdtpldt0(xn,sz10)),
inference(superposition,[status(thm)],[c_237361,c_191571]) ).
tcf(c_288543,plain,
sdtpldt0(sdtpldt0(xp,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_251871,c_191571]) ).
tcf(c_288544,plain,
sdtpldt0(sdtpldt0(xm,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK8)),
inference(superposition,[status(thm)],[c_252057,c_191571]) ).
tcf(c_288545,plain,
sdtpldt0(sdtpldt0(xm,sK9),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK9)),
inference(superposition,[status(thm)],[c_252262,c_191571]) ).
tcf(c_288546,plain,
sdtpldt0(sdtpldt0(xm,xk),sK8) = sdtpldt0(sK8,sdtpldt0(xm,xk)),
inference(superposition,[status(thm)],[c_252667,c_191571]) ).
tcf(c_288547,plain,
sdtpldt0(sdtpldt0(xr,xm),sK8) = sdtpldt0(sK8,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_252835,c_191571]) ).
tcf(c_288548,plain,
sdtpldt0(sdtpldt0(xm,sK11),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK11)),
inference(superposition,[status(thm)],[c_253045,c_191571]) ).
tcf(c_288549,plain,
sdtpldt0(sdtpldt0(xm,sK12),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK12)),
inference(superposition,[status(thm)],[c_253223,c_191571]) ).
tcf(c_288550,plain,
sdtpldt0(sdtpldt0(xm,sK13),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK13)),
inference(superposition,[status(thm)],[c_253640,c_191571]) ).
tcf(c_288551,plain,
sdtpldt0(sdtpldt0(xm,sK14),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK14)),
inference(superposition,[status(thm)],[c_253958,c_191571]) ).
tcf(c_288552,plain,
sdtpldt0(sdtpldt0(xm,sK17),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK17)),
inference(superposition,[status(thm)],[c_254171,c_191571]) ).
tcf(c_288553,plain,
sdtpldt0(sdtpldt0(xm,sK18),sK8) = sdtpldt0(sK8,sdtpldt0(xm,sK18)),
inference(superposition,[status(thm)],[c_254352,c_191571]) ).
tcf(c_288554,plain,
sdtpldt0(sdtpldt0(sz10,xm),sK8) = sdtpldt0(sK8,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_254521,c_191571]) ).
tcf(c_288555,plain,
sdtpldt0(sdtpldt0(xp,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK8)),
inference(superposition,[status(thm)],[c_277005,c_191571]) ).
tcf(c_288556,plain,
sdtpldt0(sdtpldt0(xp,sK9),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK9)),
inference(superposition,[status(thm)],[c_277228,c_191571]) ).
tcf(c_288557,plain,
sdtpldt0(sdtpldt0(xp,sK10),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK10)),
inference(superposition,[status(thm)],[c_278078,c_191571]) ).
tcf(c_288558,plain,
sdtpldt0(sdtpldt0(xp,xk),sK8) = sdtpldt0(sK8,sdtpldt0(xp,xk)),
inference(superposition,[status(thm)],[c_278352,c_191571]) ).
tcf(c_288559,plain,
sdtpldt0(sdtpldt0(xr,xp),sK8) = sdtpldt0(sK8,sdtpldt0(xr,xp)),
inference(superposition,[status(thm)],[c_278462,c_191571]) ).
tcf(c_288560,plain,
sdtpldt0(sdtpldt0(xp,sK11),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK11)),
inference(superposition,[status(thm)],[c_278635,c_191571]) ).
tcf(c_288561,plain,
sdtpldt0(sdtpldt0(xp,sK12),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK12)),
inference(superposition,[status(thm)],[c_278944,c_191571]) ).
tcf(c_288562,plain,
sdtpldt0(sdtpldt0(xp,sK13),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK13)),
inference(superposition,[status(thm)],[c_279109,c_191571]) ).
tcf(c_288563,plain,
sdtpldt0(sdtpldt0(xp,sK14),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK14)),
inference(superposition,[status(thm)],[c_279278,c_191571]) ).
tcf(c_288564,plain,
sdtpldt0(sdtpldt0(xp,sK17),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK17)),
inference(superposition,[status(thm)],[c_279487,c_191571]) ).
tcf(c_288565,plain,
sdtpldt0(sdtpldt0(xp,sK18),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sK18)),
inference(superposition,[status(thm)],[c_279743,c_191571]) ).
tcf(c_288566,plain,
sdtpldt0(sdtpldt0(xp,sz10),sK8) = sdtpldt0(sK8,sdtpldt0(xp,sz10)),
inference(superposition,[status(thm)],[c_280015,c_191571]) ).
tcf(c_288712,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_288506,c_144]) ).
tcf(c_288713,plain,
( ( sz00 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK9) != sz00 ) ),
inference(superposition,[status(thm)],[c_288506,c_143]) ).
tcf(c_288714,plain,
( sdtlseqdt0(sK9,sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288506,c_275]) ).
tcf(c_288715,plain,
( aNaturalNumber0(sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288506,c_172]) ).
tcf(c_288716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(superposition,[status(thm)],[c_288506,c_162]) ).
tcf(c_288717,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288506,c_158]) ).
tcf(c_288718,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(sK8,sK9)) ),
inference(superposition,[status(thm)],[c_288506,c_157]) ).
tcf(c_288719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK9),sdtpldt0(sK9,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_288506,c_160]) ).
tcf(c_288720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(sK8,sK9))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288506,c_160]) ).
tcf(c_288721,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK9) ) ),
inference(superposition,[status(thm)],[c_288506,c_167]) ).
tcf(c_288722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK9),sdtpldt0(X0,sK8))
| ( X0 = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(superposition,[status(thm)],[c_288506,c_162]) ).
tcf(c_288723,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(sK8,sK9) ) ),
inference(superposition,[status(thm)],[c_288506,c_166]) ).
tcf(c_288724,plain,
aNaturalNumber0(sdtpldt0(sK8,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_288715,c_81,c_73]) ).
tcf(c_288725,plain,
sdtlseqdt0(sK9,sdtpldt0(sK8,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_288714,c_81,c_73]) ).
tcf(c_288726,plain,
( ( sz00 = sK9 )
| ( sdtpldt0(sK8,sK9) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288713,c_81,c_73]) ).
tcf(c_288729,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(sK8,sK9) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288712,c_81,c_73]) ).
tcf(c_288732,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9,X0) != sdtpldt0(sK8,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288723,c_81,c_73]) ).
tcf(c_288736,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK9) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288721,c_81,c_73]) ).
tcf(c_288740,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sdtpldt0(sK8,sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288718,c_81,c_73]) ).
tcf(c_288745,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288717,c_81,c_73]) ).
tcf(c_288750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK9),sdtpldt0(X0,sK8))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288722,c_81,c_73]) ).
tcf(c_288755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9,X0),sdtpldt0(sK8,sK9))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288720,c_81,c_73]) ).
tcf(c_288760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK9),sdtpldt0(sK9,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288719,c_81,c_73]) ).
tcf(c_288765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK9))
| ( X0 = sK9 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288716,c_81,c_73]) ).
tcf(c_288770,plain,
sdtpldt0(sdtpldt0(sK8,sK9),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,sK9)),
inference(superposition,[status(thm)],[c_288724,c_191571]) ).
tcf(c_288771,plain,
sdtpldt0(sdtpldt0(sK8,sK9),xp) = sdtpldt0(xp,sdtpldt0(sK8,sK9)),
inference(superposition,[status(thm)],[c_288724,c_191567]) ).
tcf(c_288772,plain,
sdtpldt0(sdtpldt0(sK8,sK9),xm) = sdtpldt0(xm,sdtpldt0(sK8,sK9)),
inference(superposition,[status(thm)],[c_288724,c_191566]) ).
tcf(c_288773,plain,
sdtpldt0(sdtpldt0(sK8,sK9),xn) = sdtpldt0(xn,sdtpldt0(sK8,sK9)),
inference(superposition,[status(thm)],[c_288724,c_191565]) ).
tcf(c_288774,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sK8,sK9)),sdtasdt0(X1,sdtpldt0(sK8,sK9))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sK8,sK9)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_169]) ).
tcf(c_288775,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sK8,sK9),X0),sdtasdt0(sdtpldt0(sK8,sK9),X1)) = sdtasdt0(sdtpldt0(sK8,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_168]) ).
tcf(c_288776,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sK8,sK9),X0),X1) = sdtasdt0(sdtpldt0(sK8,sK9),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_177]) ).
tcf(c_288777,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sK8,sK9),X0),X1) = sdtpldt0(sdtpldt0(sK8,sK9),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_170]) ).
tcf(c_288778,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sK8,sK9),X0) = sdtasdt0(X0,sdtpldt0(sK8,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_178]) ).
tcf(c_288779,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sK8,sK9),X0) = sdtpldt0(X0,sdtpldt0(sK8,sK9)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_171]) ).
tcf(c_288780,plain,
sdtasdt0(sz10,sdtpldt0(sK8,sK9)) = sdtpldt0(sK8,sK9),
inference(superposition,[status(thm)],[c_288724,c_154]) ).
tcf(c_288781,plain,
sdtasdt0(sdtpldt0(sK8,sK9),sz10) = sdtpldt0(sK8,sK9),
inference(superposition,[status(thm)],[c_288724,c_153]) ).
tcf(c_288782,plain,
sdtpldt0(sz00,sdtpldt0(sK8,sK9)) = sdtpldt0(sK8,sK9),
inference(superposition,[status(thm)],[c_288724,c_150]) ).
tcf(c_288783,plain,
sdtpldt0(sdtpldt0(sK8,sK9),sz00) = sdtpldt0(sK8,sK9),
inference(superposition,[status(thm)],[c_288724,c_149]) ).
tcf(c_288784,plain,
sdtasdt0(sz00,sdtpldt0(sK8,sK9)) = sz00,
inference(superposition,[status(thm)],[c_288724,c_148]) ).
tcf(c_288785,plain,
sdtasdt0(sdtpldt0(sK8,sK9),sz00) = sz00,
inference(superposition,[status(thm)],[c_288724,c_147]) ).
tcf(c_288786,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(sK8,sK9)),xn) = sdtpldt0(sK8,sK9),
inference(superposition,[status(thm)],[c_288724,c_190836]) ).
tcf(c_288787,plain,
! [X0: $i] :
( ( sdtpldt0(sK8,sK9) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sK8,sK9),X0),sdtpldt0(sK8,sK9)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_288724,c_282]) ).
tcf(c_288856,plain,
( ( sdtpldt0(sK8,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK9))
| ~ sdtlseqdt0(sdtpldt0(sK8,sK9),sK9) ),
inference(superposition,[status(thm)],[c_288725,c_194]) ).
tcf(c_288857,plain,
( ( sdtpldt0(sK9,sK19(sK9,sdtpldt0(sK8,sK9))) = sdtpldt0(sK8,sK9) )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK9)) ),
inference(superposition,[status(thm)],[c_288725,c_165]) ).
tcf(c_288858,plain,
( iLess0(sK9,sdtpldt0(sK8,sK9))
| ( sdtpldt0(sK8,sK9) = sK9 )
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK9)) ),
inference(superposition,[status(thm)],[c_288725,c_173]) ).
tcf(c_288859,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(sK9)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK9)) ),
inference(superposition,[status(thm)],[c_288725,c_193]) ).
tcf(c_288860,plain,
( iLess0(sK9,sdtpldt0(sK8,sK9))
| ( sdtpldt0(sK8,sK9) = sK9 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288858,c_81,c_288724]) ).
tcf(c_288863,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK8,sK9))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288859,c_81,c_288724]) ).
tcf(c_288867,plain,
sdtpldt0(sK9,sK19(sK9,sdtpldt0(sK8,sK9))) = sdtpldt0(sK8,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_288857,c_81,c_288724]) ).
tcf(c_288868,plain,
( ( sdtpldt0(sK8,sK9) = sK9 )
| ~ sdtlseqdt0(sdtpldt0(sK8,sK9),sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288856,c_81,c_288724]) ).
tcf(c_289188,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_288507,c_144]) ).
tcf(c_289189,plain,
( ( sz00 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK10) != sz00 ) ),
inference(superposition,[status(thm)],[c_288507,c_143]) ).
tcf(c_289190,plain,
( sdtlseqdt0(sK10,sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288507,c_275]) ).
tcf(c_289191,plain,
( aNaturalNumber0(sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288507,c_172]) ).
tcf(c_289192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(superposition,[status(thm)],[c_288507,c_162]) ).
tcf(c_289193,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288507,c_158]) ).
tcf(c_289194,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(sK8,sK10)) ),
inference(superposition,[status(thm)],[c_288507,c_157]) ).
tcf(c_289195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK10),sdtpldt0(sK10,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_288507,c_160]) ).
tcf(c_289196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(sK8,sK10))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288507,c_160]) ).
tcf(c_289197,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK10) ) ),
inference(superposition,[status(thm)],[c_288507,c_167]) ).
tcf(c_289198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK10),sdtpldt0(X0,sK8))
| ( X0 = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(superposition,[status(thm)],[c_288507,c_162]) ).
tcf(c_289199,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(sK8,sK10) ) ),
inference(superposition,[status(thm)],[c_288507,c_166]) ).
tcf(c_289200,plain,
aNaturalNumber0(sdtpldt0(sK8,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_289191,c_85,c_73]) ).
tcf(c_289201,plain,
sdtlseqdt0(sK10,sdtpldt0(sK8,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_289190,c_85,c_73]) ).
tcf(c_289202,plain,
( ( sz00 = sK10 )
| ( sdtpldt0(sK8,sK10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289189,c_85,c_73]) ).
tcf(c_289205,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(sK8,sK10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289188,c_85,c_73]) ).
tcf(c_289208,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK10,X0) != sdtpldt0(sK8,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289199,c_85,c_73]) ).
tcf(c_289212,plain,
! [X0: $i] :
( ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289197,c_85,c_73]) ).
tcf(c_289216,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sdtpldt0(sK8,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289194,c_85,c_73]) ).
tcf(c_289221,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK10)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289193,c_85,c_73]) ).
tcf(c_289226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK10),sdtpldt0(X0,sK8))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289198,c_85,c_73]) ).
tcf(c_289231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK10,X0),sdtpldt0(sK8,sK10))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289196,c_85,c_73]) ).
tcf(c_289236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK10),sdtpldt0(sK10,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289195,c_85,c_73]) ).
tcf(c_289241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK10))
| ( X0 = sK10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289192,c_85,c_73]) ).
tcf(c_289308,plain,
sdtpldt0(sdtpldt0(sK8,sK10),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,sK10)),
inference(superposition,[status(thm)],[c_289200,c_191571]) ).
tcf(c_289309,plain,
sdtpldt0(sdtpldt0(sK8,sK10),xp) = sdtpldt0(xp,sdtpldt0(sK8,sK10)),
inference(superposition,[status(thm)],[c_289200,c_191567]) ).
tcf(c_289310,plain,
sdtpldt0(sdtpldt0(sK8,sK10),xm) = sdtpldt0(xm,sdtpldt0(sK8,sK10)),
inference(superposition,[status(thm)],[c_289200,c_191566]) ).
tcf(c_289311,plain,
sdtpldt0(sdtpldt0(sK8,sK10),xn) = sdtpldt0(xn,sdtpldt0(sK8,sK10)),
inference(superposition,[status(thm)],[c_289200,c_191565]) ).
tcf(c_289312,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sK8,sK10)),sdtasdt0(X1,sdtpldt0(sK8,sK10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sK8,sK10)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_169]) ).
tcf(c_289313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sK8,sK10),X0),sdtasdt0(sdtpldt0(sK8,sK10),X1)) = sdtasdt0(sdtpldt0(sK8,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_168]) ).
tcf(c_289314,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sK8,sK10),X0),X1) = sdtasdt0(sdtpldt0(sK8,sK10),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_177]) ).
tcf(c_289315,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sK8,sK10),X0),X1) = sdtpldt0(sdtpldt0(sK8,sK10),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_170]) ).
tcf(c_289316,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sK8,sK10),X0) = sdtasdt0(X0,sdtpldt0(sK8,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_178]) ).
tcf(c_289317,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sK8,sK10),X0) = sdtpldt0(X0,sdtpldt0(sK8,sK10)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_171]) ).
tcf(c_289318,plain,
sdtasdt0(sz10,sdtpldt0(sK8,sK10)) = sdtpldt0(sK8,sK10),
inference(superposition,[status(thm)],[c_289200,c_154]) ).
tcf(c_289319,plain,
sdtasdt0(sdtpldt0(sK8,sK10),sz10) = sdtpldt0(sK8,sK10),
inference(superposition,[status(thm)],[c_289200,c_153]) ).
tcf(c_289320,plain,
sdtpldt0(sz00,sdtpldt0(sK8,sK10)) = sdtpldt0(sK8,sK10),
inference(superposition,[status(thm)],[c_289200,c_150]) ).
tcf(c_289321,plain,
sdtpldt0(sdtpldt0(sK8,sK10),sz00) = sdtpldt0(sK8,sK10),
inference(superposition,[status(thm)],[c_289200,c_149]) ).
tcf(c_289322,plain,
sdtasdt0(sz00,sdtpldt0(sK8,sK10)) = sz00,
inference(superposition,[status(thm)],[c_289200,c_148]) ).
tcf(c_289323,plain,
sdtasdt0(sdtpldt0(sK8,sK10),sz00) = sz00,
inference(superposition,[status(thm)],[c_289200,c_147]) ).
tcf(c_289324,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(sK8,sK10)),xn) = sdtpldt0(sK8,sK10),
inference(superposition,[status(thm)],[c_289200,c_190836]) ).
tcf(c_289325,plain,
! [X0: $i] :
( ( sdtpldt0(sK8,sK10) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sK8,sK10),X0),sdtpldt0(sK8,sK10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289200,c_282]) ).
tcf(c_289345,plain,
( ( sdtpldt0(sK8,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK10))
| ~ sdtlseqdt0(sdtpldt0(sK8,sK10),sK10) ),
inference(superposition,[status(thm)],[c_289201,c_194]) ).
tcf(c_289346,plain,
( ( sdtpldt0(sK10,sK19(sK10,sdtpldt0(sK8,sK10))) = sdtpldt0(sK8,sK10) )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK10)) ),
inference(superposition,[status(thm)],[c_289201,c_165]) ).
tcf(c_289347,plain,
( iLess0(sK10,sdtpldt0(sK8,sK10))
| ( sdtpldt0(sK8,sK10) = sK10 )
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK10)) ),
inference(superposition,[status(thm)],[c_289201,c_173]) ).
tcf(c_289348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(sK10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10)
| ~ aNaturalNumber0(sdtpldt0(sK8,sK10)) ),
inference(superposition,[status(thm)],[c_289201,c_193]) ).
tcf(c_289349,plain,
( iLess0(sK10,sdtpldt0(sK8,sK10))
| ( sdtpldt0(sK8,sK10) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289347,c_85,c_289200]) ).
tcf(c_289352,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK8,sK10))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289348,c_85,c_289200]) ).
tcf(c_289356,plain,
sdtpldt0(sK10,sK19(sK10,sdtpldt0(sK8,sK10))) = sdtpldt0(sK8,sK10),
inference(forward_subsumption_resolution,[status(thm)],[c_289346,c_85,c_289200]) ).
tcf(c_289357,plain,
( ( sdtpldt0(sK8,sK10) = sK10 )
| ~ sdtlseqdt0(sdtpldt0(sK8,sK10),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289345,c_85,c_289200]) ).
tcf(c_289362,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(xk,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_288508,c_144]) ).
tcf(c_289363,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(xk,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_288508,c_143]) ).
tcf(c_289364,plain,
( sdtlseqdt0(sK8,sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288508,c_275]) ).
tcf(c_289365,plain,
( aNaturalNumber0(sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288508,c_172]) ).
tcf(c_289366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288508,c_162]) ).
tcf(c_289367,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288508,c_158]) ).
tcf(c_289368,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xk,sK8)) ),
inference(superposition,[status(thm)],[c_288508,c_157]) ).
tcf(c_289369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK8),sdtpldt0(sK8,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_288508,c_160]) ).
tcf(c_289370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xk,sK8))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_288508,c_160]) ).
tcf(c_289371,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK8) ) ),
inference(superposition,[status(thm)],[c_288508,c_167]) ).
tcf(c_289372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK8),sdtpldt0(X0,xk))
| ( X0 = sK8 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_288508,c_162]) ).
tcf(c_289373,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xk,sK8) ) ),
inference(superposition,[status(thm)],[c_288508,c_166]) ).
tcf(c_289374,plain,
aNaturalNumber0(sdtpldt0(xk,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_289365,c_88,c_73]) ).
tcf(c_289375,plain,
sdtlseqdt0(sK8,sdtpldt0(xk,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_289364,c_88,c_73]) ).
tcf(c_289379,plain,
sdtpldt0(xk,sK8) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_289362,c_93,c_88,c_73]) ).
tcf(c_289380,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xk,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289373,c_88,c_73]) ).
tcf(c_289384,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289371,c_88,c_73]) ).
tcf(c_289388,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xk,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289368,c_88,c_73]) ).
tcf(c_289393,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289367,c_88,c_73]) ).
tcf(c_289398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK8),sdtpldt0(X0,xk))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289372,c_88,c_73]) ).
tcf(c_289403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xk,sK8))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289370,c_88,c_73]) ).
tcf(c_289408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK8),sdtpldt0(sK8,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289369,c_88,c_73]) ).
tcf(c_289413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289366,c_88,c_73]) ).
tcf(c_289418,plain,
sdtpldt0(sdtpldt0(xk,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xk,sK8)),
inference(superposition,[status(thm)],[c_289374,c_191571]) ).
tcf(c_289419,plain,
sdtpldt0(sdtpldt0(xk,sK8),xp) = sdtpldt0(xp,sdtpldt0(xk,sK8)),
inference(superposition,[status(thm)],[c_289374,c_191567]) ).
tcf(c_289420,plain,
sdtpldt0(sdtpldt0(xk,sK8),xm) = sdtpldt0(xm,sdtpldt0(xk,sK8)),
inference(superposition,[status(thm)],[c_289374,c_191566]) ).
tcf(c_289421,plain,
sdtpldt0(sdtpldt0(xk,sK8),xn) = sdtpldt0(xn,sdtpldt0(xk,sK8)),
inference(superposition,[status(thm)],[c_289374,c_191565]) ).
tcf(c_289422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,sK8)),sdtasdt0(X1,sdtpldt0(xk,sK8))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,sK8)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_169]) ).
tcf(c_289423,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,sK8),X0),sdtasdt0(sdtpldt0(xk,sK8),X1)) = sdtasdt0(sdtpldt0(xk,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_168]) ).
tcf(c_289424,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,sK8),X0),X1) = sdtasdt0(sdtpldt0(xk,sK8),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_177]) ).
tcf(c_289425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,sK8),X0),X1) = sdtpldt0(sdtpldt0(xk,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_170]) ).
tcf(c_289426,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,sK8),X0) = sdtasdt0(X0,sdtpldt0(xk,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_178]) ).
tcf(c_289427,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,sK8),X0) = sdtpldt0(X0,sdtpldt0(xk,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_171]) ).
tcf(c_289428,plain,
sdtasdt0(sz10,sdtpldt0(xk,sK8)) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_289374,c_154]) ).
tcf(c_289429,plain,
sdtasdt0(sdtpldt0(xk,sK8),sz10) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_289374,c_153]) ).
tcf(c_289430,plain,
sdtpldt0(sz00,sdtpldt0(xk,sK8)) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_289374,c_150]) ).
tcf(c_289431,plain,
sdtpldt0(sdtpldt0(xk,sK8),sz00) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_289374,c_149]) ).
tcf(c_289432,plain,
sdtasdt0(sz00,sdtpldt0(xk,sK8)) = sz00,
inference(superposition,[status(thm)],[c_289374,c_148]) ).
tcf(c_289433,plain,
sdtasdt0(sdtpldt0(xk,sK8),sz00) = sz00,
inference(superposition,[status(thm)],[c_289374,c_147]) ).
tcf(c_289434,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xk,sK8)),xn) = sdtpldt0(xk,sK8),
inference(superposition,[status(thm)],[c_289374,c_190836]) ).
tcf(c_289435,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK8) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xk,sK8),X0),sdtpldt0(xk,sK8)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289374,c_282]) ).
tcf(c_289517,plain,
( ( sdtpldt0(xk,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xk,sK8))
| ~ sdtlseqdt0(sdtpldt0(xk,sK8),sK8) ),
inference(superposition,[status(thm)],[c_289375,c_194]) ).
tcf(c_289518,plain,
( ( sdtpldt0(sK8,sK19(sK8,sdtpldt0(xk,sK8))) = sdtpldt0(xk,sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xk,sK8)) ),
inference(superposition,[status(thm)],[c_289375,c_165]) ).
tcf(c_289519,plain,
( iLess0(sK8,sdtpldt0(xk,sK8))
| ( sdtpldt0(xk,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xk,sK8)) ),
inference(superposition,[status(thm)],[c_289375,c_173]) ).
tcf(c_289520,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtpldt0(xk,sK8)) ),
inference(superposition,[status(thm)],[c_289375,c_193]) ).
tcf(c_289521,plain,
( iLess0(sK8,sdtpldt0(xk,sK8))
| ( sdtpldt0(xk,sK8) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289519,c_73,c_289374]) ).
tcf(c_289524,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289520,c_73,c_289374]) ).
tcf(c_289528,plain,
sdtpldt0(sK8,sK19(sK8,sdtpldt0(xk,sK8))) = sdtpldt0(xk,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_289518,c_73,c_289374]) ).
tcf(c_289529,plain,
( ( sdtpldt0(xk,sK8) = sK8 )
| ~ sdtlseqdt0(sdtpldt0(xk,sK8),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289517,c_73,c_289374]) ).
tcf(c_289534,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(xr,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_288509,c_144]) ).
tcf(c_289535,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(xr,sK8) != sz00 ) ),
inference(superposition,[status(thm)],[c_288509,c_143]) ).
tcf(c_289536,plain,
( sdtlseqdt0(sK8,sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288509,c_275]) ).
tcf(c_289537,plain,
( aNaturalNumber0(sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288509,c_172]) ).
tcf(c_289538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288509,c_162]) ).
tcf(c_289539,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288509,c_158]) ).
tcf(c_289540,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xr,sK8)) ),
inference(superposition,[status(thm)],[c_288509,c_157]) ).
tcf(c_289541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(sK8,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_288509,c_160]) ).
tcf(c_289542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xr,sK8))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_288509,c_160]) ).
tcf(c_289543,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,sK8) ) ),
inference(superposition,[status(thm)],[c_288509,c_167]) ).
tcf(c_289544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(X0,xr))
| ( X0 = sK8 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_288509,c_162]) ).
tcf(c_289545,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xr,sK8) ) ),
inference(superposition,[status(thm)],[c_288509,c_166]) ).
tcf(c_289546,plain,
aNaturalNumber0(sdtpldt0(xr,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_289537,c_95,c_73]) ).
tcf(c_289547,plain,
sdtlseqdt0(sK8,sdtpldt0(xr,sK8)),
inference(forward_subsumption_resolution,[status(thm)],[c_289536,c_95,c_73]) ).
tcf(c_289551,plain,
sdtpldt0(xr,sK8) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_289534,c_99,c_95,c_73]) ).
tcf(c_289552,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK8,X0) != sdtpldt0(xr,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289545,c_95,c_73]) ).
tcf(c_289556,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289543,c_95,c_73]) ).
tcf(c_289560,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8)
| ~ doDivides0(X0,sdtpldt0(xr,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289540,c_95,c_73]) ).
tcf(c_289565,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289539,c_95,c_73]) ).
tcf(c_289570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(X0,xr))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289544,c_95,c_73]) ).
tcf(c_289575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,X0),sdtpldt0(xr,sK8))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289542,c_95,c_73]) ).
tcf(c_289580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,sK8),sdtpldt0(sK8,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289541,c_95,c_73]) ).
tcf(c_289585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,sK8))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289538,c_95,c_73]) ).
tcf(c_289590,plain,
sdtpldt0(sdtpldt0(xr,sK8),sK8) = sdtpldt0(sK8,sdtpldt0(xr,sK8)),
inference(superposition,[status(thm)],[c_289546,c_191571]) ).
tcf(c_289591,plain,
sdtpldt0(sdtpldt0(xr,sK8),xp) = sdtpldt0(xp,sdtpldt0(xr,sK8)),
inference(superposition,[status(thm)],[c_289546,c_191567]) ).
tcf(c_289592,plain,
sdtpldt0(sdtpldt0(xr,sK8),xm) = sdtpldt0(xm,sdtpldt0(xr,sK8)),
inference(superposition,[status(thm)],[c_289546,c_191566]) ).
tcf(c_289593,plain,
sdtpldt0(sdtpldt0(xr,sK8),xn) = sdtpldt0(xn,sdtpldt0(xr,sK8)),
inference(superposition,[status(thm)],[c_289546,c_191565]) ).
tcf(c_289594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xr,sK8)),sdtasdt0(X1,sdtpldt0(xr,sK8))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xr,sK8)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_169]) ).
tcf(c_289595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xr,sK8),X0),sdtasdt0(sdtpldt0(xr,sK8),X1)) = sdtasdt0(sdtpldt0(xr,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_168]) ).
tcf(c_289596,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xr,sK8),X0),X1) = sdtasdt0(sdtpldt0(xr,sK8),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_177]) ).
tcf(c_289597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,sK8),X0),X1) = sdtpldt0(sdtpldt0(xr,sK8),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_170]) ).
tcf(c_289598,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xr,sK8),X0) = sdtasdt0(X0,sdtpldt0(xr,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_178]) ).
tcf(c_289599,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xr,sK8),X0) = sdtpldt0(X0,sdtpldt0(xr,sK8)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_171]) ).
tcf(c_289600,plain,
sdtasdt0(sz10,sdtpldt0(xr,sK8)) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_289546,c_154]) ).
tcf(c_289601,plain,
sdtasdt0(sdtpldt0(xr,sK8),sz10) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_289546,c_153]) ).
tcf(c_289602,plain,
sdtpldt0(sz00,sdtpldt0(xr,sK8)) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_289546,c_150]) ).
tcf(c_289603,plain,
sdtpldt0(sdtpldt0(xr,sK8),sz00) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_289546,c_149]) ).
tcf(c_289604,plain,
sdtasdt0(sz00,sdtpldt0(xr,sK8)) = sz00,
inference(superposition,[status(thm)],[c_289546,c_148]) ).
tcf(c_289605,plain,
sdtasdt0(sdtpldt0(xr,sK8),sz00) = sz00,
inference(superposition,[status(thm)],[c_289546,c_147]) ).
tcf(c_289606,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(xr,sK8)),xn) = sdtpldt0(xr,sK8),
inference(superposition,[status(thm)],[c_289546,c_190836]) ).
tcf(c_289607,plain,
! [X0: $i] :
( ( sdtpldt0(xr,sK8) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xr,sK8),X0),sdtpldt0(xr,sK8)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289546,c_282]) ).
tcf(c_289651,plain,
( ( sdtpldt0(xr,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xr,sK8))
| ~ sdtlseqdt0(sdtpldt0(xr,sK8),sK8) ),
inference(superposition,[status(thm)],[c_289547,c_194]) ).
tcf(c_289652,plain,
( ( sdtpldt0(sK8,sK19(sK8,sdtpldt0(xr,sK8))) = sdtpldt0(xr,sK8) )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xr,sK8)) ),
inference(superposition,[status(thm)],[c_289547,c_165]) ).
tcf(c_289653,plain,
( iLess0(sK8,sdtpldt0(xr,sK8))
| ( sdtpldt0(xr,sK8) = sK8 )
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(sdtpldt0(xr,sK8)) ),
inference(superposition,[status(thm)],[c_289547,c_173]) ).
tcf(c_289654,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8)
| ~ aNaturalNumber0(sdtpldt0(xr,sK8)) ),
inference(superposition,[status(thm)],[c_289547,c_193]) ).
tcf(c_289655,plain,
( iLess0(sK8,sdtpldt0(xr,sK8))
| ( sdtpldt0(xr,sK8) = sK8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289653,c_73,c_289546]) ).
tcf(c_289658,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,sK8))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289654,c_73,c_289546]) ).
tcf(c_289662,plain,
sdtpldt0(sK8,sK19(sK8,sdtpldt0(xr,sK8))) = sdtpldt0(xr,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_289652,c_73,c_289546]) ).
tcf(c_289663,plain,
( ( sdtpldt0(xr,sK8) = sK8 )
| ~ sdtlseqdt0(sdtpldt0(xr,sK8),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289651,c_73,c_289546]) ).
tcf(c_289713,plain,
( ( sz00 = sK8 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_288510,c_144]) ).
tcf(c_289714,plain,
( ( sz00 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ( sdtpldt0(sK8,sK11) != sz00 ) ),
inference(superposition,[status(thm)],[c_288510,c_143]) ).
tcf(c_289715,plain,
( sdtlseqdt0(sK11,sdtpldt0(sK8,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288510,c_275]) ).
tcf(c_289716,plain,
( aNaturalNumber0(sdtpldt0(sK8,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8) ),
inference(superposition,[status(thm)],[c_288510,c_172]) ).
tcf(c_289717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(superposition,[status(thm)],[c_288510,c_162]) ).
tcf(c_289718,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK11))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288510,c_158]) ).
tcf(c_289719,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(sK8,sK11)) ),
inference(superposition,[status(thm)],[c_288510,c_157]) ).
tcf(c_289720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK11),sdtpldt0(sK11,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(superposition,[status(thm)],[c_288510,c_160]) ).
tcf(c_289721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(sK8,sK11))
| ( X0 = sK8 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(superposition,[status(thm)],[c_288510,c_160]) ).
tcf(c_289722,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK11) ) ),
inference(superposition,[status(thm)],[c_288510,c_167]) ).
tcf(c_289723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK11),sdtpldt0(X0,sK8))
| ( X0 = sK11 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(superposition,[status(thm)],[c_288510,c_162]) ).
tcf(c_289724,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(sK8)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(sK8,sK11) ) ),
inference(superposition,[status(thm)],[c_288510,c_166]) ).
tcf(c_289725,plain,
aNaturalNumber0(sdtpldt0(sK8,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_289716,c_96,c_73]) ).
tcf(c_289726,plain,
sdtlseqdt0(sK11,sdtpldt0(sK8,sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_289715,c_96,c_73]) ).
tcf(c_289727,plain,
( ( sz00 = sK11 )
| ( sdtpldt0(sK8,sK11) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289714,c_96,c_73]) ).
tcf(c_289730,plain,
( ( sz00 = sK8 )
| ( sdtpldt0(sK8,sK11) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289713,c_96,c_73]) ).
tcf(c_289733,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK11,X0) != sdtpldt0(sK8,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289724,c_96,c_73]) ).
tcf(c_289737,plain,
! [X0: $i] :
( ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK8) != sdtpldt0(sK8,sK11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289722,c_96,c_73]) ).
tcf(c_289741,plain,
! [X0: $i] :
( doDivides0(X0,sK8)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sdtpldt0(sK8,sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289719,c_96,c_73]) ).
tcf(c_289746,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK8,sK11))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK11)
| ~ doDivides0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289718,c_96,c_73]) ).
tcf(c_289751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK11),sdtpldt0(X0,sK8))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289723,c_96,c_73]) ).
tcf(c_289756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK11,X0),sdtpldt0(sK8,sK11))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289721,c_96,c_73]) ).
tcf(c_289761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK8,sK11),sdtpldt0(sK11,X0))
| ( X0 = sK8 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289720,c_96,c_73]) ).
tcf(c_289766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8),sdtpldt0(sK8,sK11))
| ( X0 = sK11 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289717,c_96,c_73]) ).
tcf(c_289885,plain,
sdtpldt0(sdtpldt0(sK8,sK11),sK8) = sdtpldt0(sK8,sdtpldt0(sK8,sK11)),
inference(superposition,[status(thm)],[c_289725,c_191571]) ).
tcf(c_289886,plain,
sdtpldt0(sdtpldt0(sK8,sK11),xp) = sdtpldt0(xp,sdtpldt0(sK8,sK11)),
inference(superposition,[status(thm)],[c_289725,c_191567]) ).
tcf(c_289887,plain,
sdtpldt0(sdtpldt0(sK8,sK11),xm) = sdtpldt0(xm,sdtpldt0(sK8,sK11)),
inference(superposition,[status(thm)],[c_289725,c_191566]) ).
tcf(c_289888,plain,
sdtpldt0(sdtpldt0(sK8,sK11),xn) = sdtpldt0(xn,sdtpldt0(sK8,sK11)),
inference(superposition,[status(thm)],[c_289725,c_191565]) ).
tcf(c_289889,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sK8,sK11)),sdtasdt0(X1,sdtpldt0(sK8,sK11))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sK8,sK11)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_169]) ).
tcf(c_289890,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sK8,sK11),X0),sdtasdt0(sdtpldt0(sK8,sK11),X1)) = sdtasdt0(sdtpldt0(sK8,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_168]) ).
tcf(c_289891,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sK8,sK11),X0),X1) = sdtasdt0(sdtpldt0(sK8,sK11),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_177]) ).
tcf(c_289892,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sK8,sK11),X0),X1) = sdtpldt0(sdtpldt0(sK8,sK11),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_170]) ).
tcf(c_289893,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sK8,sK11),X0) = sdtasdt0(X0,sdtpldt0(sK8,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_178]) ).
tcf(c_289894,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sK8,sK11),X0) = sdtpldt0(X0,sdtpldt0(sK8,sK11)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_171]) ).
tcf(c_289895,plain,
sdtasdt0(sz10,sdtpldt0(sK8,sK11)) = sdtpldt0(sK8,sK11),
inference(superposition,[status(thm)],[c_289725,c_154]) ).
tcf(c_289896,plain,
sdtasdt0(sdtpldt0(sK8,sK11),sz10) = sdtpldt0(sK8,sK11),
inference(superposition,[status(thm)],[c_289725,c_153]) ).
tcf(c_289897,plain,
sdtpldt0(sz00,sdtpldt0(sK8,sK11)) = sdtpldt0(sK8,sK11),
inference(superposition,[status(thm)],[c_289725,c_150]) ).
tcf(c_289898,plain,
sdtpldt0(sdtpldt0(sK8,sK11),sz00) = sdtpldt0(sK8,sK11),
inference(superposition,[status(thm)],[c_289725,c_149]) ).
tcf(c_289899,plain,
sdtasdt0(sz00,sdtpldt0(sK8,sK11)) = sz00,
inference(superposition,[status(thm)],[c_289725,c_148]) ).
tcf(c_289900,plain,
sdtasdt0(sdtpldt0(sK8,sK11),sz00) = sz00,
inference(superposition,[status(thm)],[c_289725,c_147]) ).
tcf(c_289901,plain,
sdtsldt0(sdtasdt0(xn,sdtpldt0(sK8,sK11)),xn) = sdtpldt0(sK8,sK11),
inference(superposition,[status(thm)],[c_289725,c_190836]) ).
tcf(c_289902,plain,
! [X0: $i] :
( ( sdtpldt0(sK8,sK11) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sK8,sK11),X0),sdtpldt0(sK8,sK11)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_289725,c_282]) ).
fof(f139,definition,
! [X2] :
( ~ sP0(X2)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f140,definition,
! [X1,X2] :
( ~ sP1(X1,X2)
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(definition_folding,[],[f65,f140,f139]) ).
fof(f142,definition,
( ~ sP2
| ( doDivides0(xr,xm)
& ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f143,plain,
( sP2
| ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
inference(definition_folding,[],[f61,f142]) ).
fof(f144,definition,
( ~ sP3
| ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f145,plain,
( sP3
| ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ) ),
inference(definition_folding,[],[f76,f144]) ).
fof(f149,plain,
! [X2] :
( ~ sP0(X2)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) ) ),
inference(nnf_transformation,[],[f139]) ).
fof(f150,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ isPrime0(X0)
& ( ? [X1] :
( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ isPrime0(X0)
& ( ( doDivides0(sK5(X0),X0)
& sdtasdt0(sK5(X0),sK6(X0)) = X0
& aNaturalNumber0(sK6(X0))
& aNaturalNumber0(sK5(X0))
& sK5(X0) != X0
& sz10 != sK5(X0) )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0))],[f150]) ).
fof(f159,plain,
( ~ sP2
| ( doDivides0(xr,xm)
& ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f160,plain,
( ~ sP2
| ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
inference(rectify,[],[f159]) ).
fof(f161,plain,
( ~ sP2
| ( doDivides0(xr,xm)
& xm = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f160]) ).
fof(f165,plain,
( ~ sP3
| ( sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f185,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f186,plain,
! [X0] :
( ~ sP0(X0)
| doDivides0(sK5(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f187,plain,
! [X0] :
( ~ sP0(X0)
| sdtasdt0(sK5(X0),sK6(X0)) = X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f188,plain,
! [X0] :
( ~ sP0(X0)
| aNaturalNumber0(sK6(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f189,plain,
! [X0] :
( ~ sP0(X0)
| aNaturalNumber0(sK5(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f190,plain,
! [X0] :
( ~ sP0(X0)
| sK5(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f191,plain,
! [X0] :
( ~ sP0(X0)
| sz10 != sK5(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f243,plain,
( ~ sP2
| doDivides0(xr,xm) ),
inference(cnf_transformation,[],[f161]) ).
fof(f244,plain,
( ~ sP2
| xm = sdtasdt0(xr,sK15) ),
inference(cnf_transformation,[],[f161]) ).
fof(f245,plain,
( ~ sP2
| aNaturalNumber0(sK15) ),
inference(cnf_transformation,[],[f161]) ).
fof(f260,plain,
( ~ sP3
| sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f261,plain,
( ~ sP3
| aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f262,plain,
( ~ sP3
| sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_55,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ( sK5(X0) != sz10 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ( sK5(X0) != X0 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_57,plain,
! [X0: $i] :
( aNaturalNumber0(sK5(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_58,plain,
! [X0: $i] :
( aNaturalNumber0(sK6(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sK6(X0)) = X0 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_60,plain,
! [X0: $i] :
( doDivides0(sK5(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_113,plain,
( aNaturalNumber0(sK15)
| ~ sP2 ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_114,plain,
( ( sdtasdt0(xr,sK15) = xm )
| ~ sP2 ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_115,plain,
( doDivides0(xr,xm)
| ~ sP2 ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_130,plain,
( ~ sP3
| ( sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) != sdtasdt0(xn,xm) ) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_131,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| ~ sP3 ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_132,plain,
( ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) = sdtasdt0(xp,xk) )
| ~ sP3 ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_1145,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ sP3 ),
inference(demodulation,[status(thm)],[c_131,c_89]) ).
tcf(c_1278,plain,
( ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) )
| ~ sP3 ),
inference(light_normalisation,[status(thm)],[c_132,c_89]) ).
tcf(c_1317,plain,
( ~ sP3
| ( sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr) != sdtasdt0(xn,xm) ) ),
inference(light_normalisation,[status(thm)],[c_130,c_89]) ).
tcf(c_190817,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0),sdtsldt0(sdtasdt0(xn,xm),xr)) = X0 )
| ~ sP3
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_282]) ).
tcf(c_190826,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( sdtsldt0(sdtasdt0(sK15,X0),sK15) = X0 )
| ~ sP2
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_282]) ).
tcf(c_190853,plain,
( ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_190836]) ).
tcf(c_190860,plain,
( ( sdtsldt0(sdtasdt0(xn,sdtsldt0(sdtasdt0(xn,xm),xr)),xn) = sdtsldt0(sdtasdt0(xn,xm),xr) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_190836]) ).
tcf(c_190903,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_117,c_114]) ).
tcf(c_190923,plain,
( ( sdtasdt0(sK15,sz00) = sz00 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_147]) ).
tcf(c_190930,plain,
( ( sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),sz00) = sz00 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_147]) ).
tcf(c_190956,plain,
( ( sdtasdt0(sz00,sK15) = sz00 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_148]) ).
tcf(c_190963,plain,
( ( sdtasdt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr)) = sz00 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_148]) ).
tcf(c_190989,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_149]) ).
tcf(c_190996,plain,
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),sz00) = sdtsldt0(sdtasdt0(xn,xm),xr) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_149]) ).
tcf(c_191022,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_150]) ).
tcf(c_191029,plain,
( ( sdtpldt0(sz00,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(xn,xm),xr) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_150]) ).
tcf(c_191055,plain,
( ( sdtasdt0(sK15,sz10) = sK15 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_153]) ).
tcf(c_191062,plain,
( ( sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),sz10) = sdtsldt0(sdtasdt0(xn,xm),xr) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_153]) ).
tcf(c_191088,plain,
( ( sdtasdt0(sz10,sK15) = sK15 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_154]) ).
tcf(c_191095,plain,
( ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(xn,xm),xr) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_154]) ).
tcf(c_191360,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK5(X0)) = sK5(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_154]) ).
tcf(c_191361,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sz10) = sK5(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_153]) ).
tcf(c_191362,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK5(X0)) = sK5(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_150]) ).
tcf(c_191363,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),sz00) = sK5(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_149]) ).
tcf(c_191364,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK5(X0)) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_148]) ).
tcf(c_191365,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sz00) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_147]) ).
tcf(c_191366,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK5(X0)),xn) = sK5(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_190836]) ).
tcf(c_191367,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sK5(X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK5(X1),X0),sK5(X1)) = X0 )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_282]) ).
tcf(c_191432,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK6(X0)) = sK6(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_154]) ).
tcf(c_191433,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),sz10) = sK6(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_153]) ).
tcf(c_191434,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK6(X0)) = sK6(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_150]) ).
tcf(c_191435,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),sz00) = sK6(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_149]) ).
tcf(c_191436,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK6(X0)) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_148]) ).
tcf(c_191437,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),sz00) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_147]) ).
tcf(c_191438,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK6(X0)),xn) = sK6(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_190836]) ).
tcf(c_191439,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sK6(X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK6(X1),X0),sK6(X1)) = X0 )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_282]) ).
tcf(c_191569,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtpldt0(sK5(X1),X0) = sdtpldt0(X0,sK5(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_171]) ).
tcf(c_191570,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtpldt0(sK6(X1),X0) = sdtpldt0(X0,sK6(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_171]) ).
tcf(c_191580,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK15) = sdtpldt0(sK15,X0) )
| ~ sP2
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_171]) ).
tcf(c_191590,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0) = sdtpldt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_171]) ).
tcf(c_191794,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtasdt0(sK5(X1),X0) = sdtasdt0(X0,sK5(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_178]) ).
tcf(c_191795,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtasdt0(sK6(X1),X0) = sdtasdt0(X0,sK6(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_178]) ).
tcf(c_191805,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK15) = sdtasdt0(sK15,X0) )
| ~ sP2
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_178]) ).
tcf(c_191816,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0) = sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_178]) ).
tcf(c_191982,plain,
sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm),
inference(global_subsumption_just,[status(thm)],[c_1278,c_16642]) ).
tcf(c_192025,plain,
( ( xp = sz10 )
| ( xp = sz00 )
| ( sK5(xp) = sz10 )
| ( sK5(xp) = xp )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK5(xp)) ),
inference(superposition,[status(thm)],[c_60,c_71]) ).
tcf(c_192026,plain,
( ( sK5(xp) = sz10 )
| ( sK5(xp) = xp )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK5(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192025,c_69,c_68]) ).
tcf(c_192039,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ( sK5(xr) = xr )
| ( sK5(xr) = sz10 )
| ~ sP0(xr)
| ~ aNaturalNumber0(sK5(xr)) ),
inference(superposition,[status(thm)],[c_60,c_102]) ).
tcf(c_192040,plain,
( ( sK5(xr) = xr )
| ( sK5(xr) = sz10 )
| ~ sP0(xr)
| ~ aNaturalNumber0(sK5(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192039,c_100,c_99]) ).
tcf(c_192062,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(superposition,[status(thm)],[c_191982,c_137]) ).
tcf(c_192120,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192062,c_95]) ).
tcf(c_192290,plain,
( sdtlseqdt0(xr,xn)
| ( sz00 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_190903,c_137]) ).
tcf(c_192291,plain,
( sdtlseqdt0(xr,xn)
| ( sz00 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192290,c_95]) ).
tcf(c_192314,plain,
! [X0: $i] :
( sdtlseqdt0(sK5(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_60,c_136]) ).
tcf(c_192318,plain,
( sdtlseqdt0(xr,xm)
| ( xm = sz00 )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_115,c_136]) ).
tcf(c_192341,plain,
( sdtlseqdt0(xr,xm)
| ( xm = sz00 )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_192318,c_95,c_50]) ).
tcf(c_192797,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sK20(sK5(X0),X0)) = X0 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_60,c_176]) ).
tcf(c_192801,plain,
( ( sdtasdt0(xr,sK20(xr,xm)) = xm )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_115,c_176]) ).
tcf(c_192840,plain,
( ( sdtasdt0(xr,sK20(xr,xm)) = xm )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_192801,c_95,c_50]) ).
tcf(c_193307,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK5(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_180]) ).
tcf(c_193311,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_115,c_180]) ).
tcf(c_193404,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ sP2
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193311,c_95,c_50]) ).
tcf(c_193703,plain,
( ( sz10 = xr )
| ( xp = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(xn,xm) != xp ) ),
inference(superposition,[status(thm)],[c_191982,c_70]) ).
tcf(c_193740,plain,
( ( xp = xr )
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(xn,xm) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193703,c_100,c_95]) ).
tcf(c_193967,plain,
( ( sz00 = sK16 )
| ( sz00 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_190903,c_142]) ).
tcf(c_194021,plain,
( ( sz00 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193967,c_99,c_95]) ).
tcf(c_194038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(sK5(X2),X0),X1) = sdtpldt0(sK5(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_170]) ).
tcf(c_194039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(sK6(X2),X0),X1) = sdtpldt0(sK6(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_170]) ).
tcf(c_194049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK15,X0),X1) = sdtpldt0(sK15,sdtpldt0(X0,X1)) )
| ~ sP2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_170]) ).
tcf(c_194063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0),X1) = sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),sdtpldt0(X0,X1)) )
| ~ sP3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_170]) ).
tcf(c_194201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtasdt0(sdtasdt0(sK5(X2),X0),X1) = sdtasdt0(sK5(X2),sdtasdt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_177]) ).
tcf(c_194202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtasdt0(sdtasdt0(sK6(X2),X0),X1) = sdtasdt0(sK6(X2),sdtasdt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_177]) ).
tcf(c_194212,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK15,X0),X1) = sdtasdt0(sK15,sdtasdt0(X0,X1)) )
| ~ sP2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_177]) ).
tcf(c_194226,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0),X1) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),sdtasdt0(X0,X1)) )
| ~ sP3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_177]) ).
tcf(c_194573,plain,
( ( sz10 = xr )
| ( xm = xr )
| ~ sP2
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_115,c_190]) ).
tcf(c_194615,plain,
( ( xm = xr )
| ~ sP2
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194573,c_100,c_95,c_50]) ).
tcf(c_194679,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK5(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sP0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK5(sdtpldt0(X0,X1)))
| ~ doDivides0(sK5(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_60,c_157]) ).
tcf(c_195733,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK5(X0) = sz00 )
| ( sdtasdt0(sK5(X0),sdtsldt0(X0,sK5(X0))) = X0 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_60,c_199]) ).
tcf(c_195737,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_115,c_199]) ).
tcf(c_195854,plain,
( ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_195737,c_99,c_95,c_50]) ).
tcf(c_195979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK5(X2),X0),sdtasdt0(sK5(X2),X1)) = sdtasdt0(sK5(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_168]) ).
tcf(c_195980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(X2),X0),sdtasdt0(sK6(X2),X1)) = sdtasdt0(sK6(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_168]) ).
tcf(c_195990,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK15,X0),sdtasdt0(sK15,X1)) = sdtasdt0(sK15,sdtpldt0(X0,X1)) )
| ~ sP2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_168]) ).
tcf(c_196004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0),sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X1)) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),sdtpldt0(X0,X1)) )
| ~ sP3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_168]) ).
tcf(c_196166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK5(X2)),sdtasdt0(X1,sK5(X2))) = sdtasdt0(sdtpldt0(X0,X1),sK5(X2)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_169]) ).
tcf(c_196167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK6(X2)),sdtasdt0(X1,sK6(X2))) = sdtasdt0(sdtpldt0(X0,X1),sK6(X2)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_169]) ).
tcf(c_196177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK15),sdtasdt0(X1,sK15)) = sdtasdt0(sdtpldt0(X0,X1),sK15) )
| ~ sP2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_169]) ).
tcf(c_196191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)),sdtasdt0(X1,sdtsldt0(sdtasdt0(xn,xm),xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1145,c_169]) ).
tcf(c_198045,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_145]) ).
tcf(c_198051,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_145]) ).
tcf(c_198315,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198045,c_99,c_95]) ).
tcf(c_198326,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198051,c_99,c_95]) ).
tcf(c_198578,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK16) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_146]) ).
tcf(c_198584,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_146]) ).
tcf(c_198852,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK16) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198578,c_95]) ).
tcf(c_198859,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198584,c_95]) ).
tcf(c_199483,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_190903,c_139]) ).
tcf(c_199489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0) ),
inference(superposition,[status(thm)],[c_191982,c_139]) ).
tcf(c_199555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_190903,c_139]) ).
tcf(c_199561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(superposition,[status(thm)],[c_191982,c_139]) ).
tcf(c_200172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199555,c_99,c_95]) ).
tcf(c_200190,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199483,c_99,c_95]) ).
tcf(c_200219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xm))
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199561,c_99,c_95]) ).
tcf(c_200225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xr,X0))
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199489,c_99,c_95]) ).
tcf(c_200588,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK16))
| ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_190903,c_141]) ).
tcf(c_200594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)))
| ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(superposition,[status(thm)],[c_191982,c_141]) ).
tcf(c_200660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK16),xn)
| ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_190903,c_141]) ).
tcf(c_200666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)),sdtasdt0(xn,xm))
| ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(superposition,[status(thm)],[c_191982,c_141]) ).
tcf(c_201286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK16),xn)
| ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200660,c_95]) ).
tcf(c_201306,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK16))
| ( sz00 = sK16 )
| ( X0 = xr )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200588,c_95]) ).
tcf(c_201336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)),sdtasdt0(xn,xm))
| ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200666,c_95]) ).
tcf(c_201343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)))
| ( X0 = xr )
| ( sdtsldt0(sdtasdt0(xn,xm),xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200594,c_95]) ).
tcf(c_201847,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK5(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK5(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK5(X0)) )
| ~ sP0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_60,c_196]) ).
tcf(c_201851,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xm,xr)) = sdtsldt0(sdtasdt0(X0,xm),xr) )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_196]) ).
tcf(c_202065,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xm,xr)) = sdtsldt0(sdtasdt0(X0,xm),xr) )
| ~ sP2
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201851,c_99,c_95,c_50]) ).
tcf(c_202716,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_190924,c_114]) ).
tcf(c_202723,plain,
( ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_114]) ).
tcf(c_202730,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_190990,c_114]) ).
tcf(c_202737,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_191023,c_114]) ).
tcf(c_202744,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_191056,c_114]) ).
tcf(c_202751,plain,
( ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_114]) ).
tcf(c_203839,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_66]) ).
tcf(c_203845,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_66]) ).
tcf(c_203912,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_66]) ).
tcf(c_203918,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_66]) ).
tcf(c_204965,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203918,c_95]) ).
tcf(c_204974,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203912,c_95]) ).
tcf(c_205010,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203839,c_95]) ).
tcf(c_205060,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203845,c_95]) ).
tcf(c_205671,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(xr,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_62]) ).
tcf(c_205677,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_62]) ).
tcf(c_205744,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_62]) ).
tcf(c_205750,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_62]) ).
tcf(c_206797,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205750,c_95]) ).
tcf(c_206806,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205744,c_95]) ).
tcf(c_206842,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(xr,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205671,c_95]) ).
tcf(c_206892,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK7(xr,X0))
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205677,c_95]) ).
tcf(c_207743,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_64]) ).
tcf(c_207749,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_64]) ).
tcf(c_207817,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_190903,c_64]) ).
tcf(c_207823,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_191982,c_64]) ).
tcf(c_208871,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207823,c_95]) ).
tcf(c_208880,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207817,c_95]) ).
tcf(c_208907,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207743,c_95]) ).
tcf(c_208982,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtsldt0(sdtasdt0(xn,xm),xr),X0)
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207749,c_95]) ).
tcf(c_209721,plain,
( ( sdtasdt0(sK15,sz00) = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_190923]) ).
tcf(c_209722,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_191056,c_190923]) ).
tcf(c_209723,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_191023,c_190923]) ).
tcf(c_209724,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190990,c_190923]) ).
tcf(c_209725,plain,
( ( sdtasdt0(sK15,sz00) = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_190923]) ).
tcf(c_209726,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_190923]) ).
tcf(c_209727,plain,
( ( sdtasdt0(sK15,sz00) = sz00 )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_190923]) ).
tcf(c_209756,plain,
( ( sdtasdt0(sz10,sK16) = sK16 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_191089,c_190956]) ).
tcf(c_209757,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_191056,c_190956]) ).
tcf(c_209758,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_191023,c_190956]) ).
tcf(c_209759,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_190990,c_190956]) ).
tcf(c_209760,plain,
( ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_190956]) ).
tcf(c_209761,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_190956]) ).
tcf(c_209762,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_117,c_190956]) ).
tcf(c_209840,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_190989]) ).
tcf(c_209841,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_191056,c_190989]) ).
tcf(c_209842,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtpldt0(sz00,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191023,c_190989]) ).
tcf(c_209843,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtpldt0(sK15,sz00) = sK15 ) ),
inference(superposition,[status(thm)],[c_190990,c_190989]) ).
tcf(c_209844,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_190989]) ).
tcf(c_209845,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_190989]) ).
tcf(c_209846,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_190989]) ).
tcf(c_209865,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_191022]) ).
tcf(c_209866,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_191056,c_191022]) ).
tcf(c_209867,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtpldt0(sz00,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_191023,c_191022]) ).
tcf(c_209868,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtpldt0(sz00,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_190990,c_191022]) ).
tcf(c_209869,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_191022]) ).
tcf(c_209870,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_191022]) ).
tcf(c_209871,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_191022]) ).
tcf(c_209890,plain,
( ( sdtasdt0(sK15,sz10) = sK15 )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_191055]) ).
tcf(c_209891,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_191056,c_191055]) ).
tcf(c_209892,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_191023,c_191055]) ).
tcf(c_209893,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_190990,c_191055]) ).
tcf(c_209894,plain,
( ( sdtasdt0(sK15,sz10) = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_191055]) ).
tcf(c_209895,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_190924,c_191055]) ).
tcf(c_209896,plain,
( ( sdtasdt0(sK15,sz10) = sK15 )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_191055]) ).
tcf(c_209935,plain,
( ( sdtasdt0(sz10,sK16) = sK16 )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_191089,c_191088]) ).
tcf(c_209936,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_191056,c_191088]) ).
tcf(c_209937,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_191023,c_191088]) ).
tcf(c_209938,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_190990,c_191088]) ).
tcf(c_209939,plain,
( ( sdtasdt0(sz10,sK15) = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_191088]) ).
tcf(c_209940,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_190924,c_191088]) ).
tcf(c_209941,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_117,c_191088]) ).
tcf(c_227172,plain,
( ( sdtasdt0(sz10,sK15) = sK15 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_191088]) ).
tcf(c_227173,plain,
( ( sdtasdt0(sK15,sz10) = sK15 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_191055]) ).
tcf(c_227174,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_191022]) ).
tcf(c_227175,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_190989]) ).
tcf(c_227176,plain,
( ( sdtasdt0(sz00,sK15) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_190956]) ).
tcf(c_227177,plain,
( ( sdtasdt0(sK15,sz00) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_190923]) ).
tcf(c_227178,plain,
( ( sdtasdt0(xr,sK15) = xm )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_114]) ).
tcf(c_227218,plain,
( ( xm = xr )
| ( xm = sz00 )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xr) ),
inference(superposition,[status(thm)],[c_192341,c_194]) ).
tcf(c_227219,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sK19(xr,xm)) = xm )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_192341,c_165]) ).
tcf(c_227220,plain,
( iLess0(xr,xm)
| ( xm = xr )
| ( xm = sz00 )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_192341,c_173]) ).
tcf(c_227221,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ sP2
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_192341,c_193]) ).
tcf(c_227222,plain,
( iLess0(xr,xm)
| ( xm = xr )
| ( xm = sz00 )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_227220,c_95,c_50]) ).
tcf(c_227227,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sK19(xr,xm)) = xm )
| ~ sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_227219,c_95,c_50]) ).
tcf(c_227231,plain,
( ( xm = xr )
| ( xm = sz00 )
| ~ sP2
| ~ sdtlseqdt0(xm,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227218,c_95,c_50]) ).
tcf(c_227236,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ sP2
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227221,c_95,c_50]) ).
tcf(c_227377,plain,
( ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_190854,c_190853]) ).
tcf(c_227378,plain,
( ( sdtasdt0(sz10,sK16) = sK16 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_191089,c_190853]) ).
tcf(c_227379,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_191056,c_190853]) ).
tcf(c_227380,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_191023,c_190853]) ).
tcf(c_227381,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_190990,c_190853]) ).
tcf(c_227382,plain,
( ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_190957,c_190853]) ).
tcf(c_227383,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_190924,c_190853]) ).
tcf(c_227384,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_117,c_190853]) ).
tcf(c_227422,plain,
( ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_190854,c_192840]) ).
tcf(c_227423,plain,
( ( sdtasdt0(sz10,sK16) = sK16 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_191089,c_192840]) ).
tcf(c_227424,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_191056,c_192840]) ).
tcf(c_227425,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_191023,c_192840]) ).
tcf(c_227426,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_190990,c_192840]) ).
tcf(c_227427,plain,
( ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_190957,c_192840]) ).
tcf(c_227428,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_190924,c_192840]) ).
tcf(c_227429,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_117,c_192840]) ).
tcf(c_230967,plain,
( doDivides0(sK5(sK18),sz00)
| ( sz10 = sK18 )
| ( sz00 = sK18 )
| ~ sP0(sK18)
| ~ aNaturalNumber0(sK5(sK18)) ),
inference(superposition,[status(thm)],[c_60,c_194724]) ).
tcf(c_230994,plain,
( doDivides0(sK5(sK17),sz00)
| ( sz10 = sK17 )
| ( sz00 = sK17 )
| ~ sP0(sK17)
| ~ aNaturalNumber0(sK5(sK17)) ),
inference(superposition,[status(thm)],[c_60,c_194728]) ).
tcf(c_231032,plain,
( doDivides0(sK5(sK14),sz00)
| ( sz10 = sK14 )
| ( sz00 = sK14 )
| ~ sP0(sK14)
| ~ aNaturalNumber0(sK5(sK14)) ),
inference(superposition,[status(thm)],[c_60,c_194732]) ).
tcf(c_231059,plain,
( doDivides0(sK5(sK13),sz00)
| ( sz10 = sK13 )
| ( sz00 = sK13 )
| ~ sP0(sK13)
| ~ aNaturalNumber0(sK5(sK13)) ),
inference(superposition,[status(thm)],[c_60,c_194736]) ).
tcf(c_231086,plain,
( doDivides0(sK5(sK12),sz00)
| ( sz10 = sK12 )
| ( sz00 = sK12 )
| ~ sP0(sK12)
| ~ aNaturalNumber0(sK5(sK12)) ),
inference(superposition,[status(thm)],[c_60,c_194740]) ).
tcf(c_231153,plain,
( doDivides0(sK5(sK11),sz00)
| ( sz10 = sK11 )
| ( sz00 = sK11 )
| ~ sP0(sK11)
| ~ aNaturalNumber0(sK5(sK11)) ),
inference(superposition,[status(thm)],[c_60,c_194744]) ).
tcf(c_231194,plain,
( doDivides0(sK5(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ sP0(xr)
| ~ aNaturalNumber0(sK5(xr)) ),
inference(superposition,[status(thm)],[c_60,c_194748]) ).
tcf(c_231202,plain,
( doDivides0(sK5(xr),sz00)
| ~ sP0(xr)
| ~ aNaturalNumber0(sK5(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231194,c_100,c_99]) ).
tcf(c_231249,plain,
( doDivides0(sK5(xk),sz00)
| ( sz10 = xk )
| ( sz00 = xk )
| ~ sP0(xk)
| ~ aNaturalNumber0(sK5(xk)) ),
inference(superposition,[status(thm)],[c_60,c_194752]) ).
tcf(c_231258,plain,
( doDivides0(sK5(xk),sz00)
| ~ sP0(xk)
| ~ aNaturalNumber0(sK5(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231249,c_94,c_93]) ).
tcf(c_231327,plain,
( doDivides0(sK5(sK10),sz00)
| ( sz10 = sK10 )
| ( sz00 = sK10 )
| ~ sP0(sK10)
| ~ aNaturalNumber0(sK5(sK10)) ),
inference(superposition,[status(thm)],[c_60,c_194756]) ).
tcf(c_231354,plain,
( doDivides0(sK5(sK9),sz00)
| ( sz10 = sK9 )
| ( sz00 = sK9 )
| ~ sP0(sK9)
| ~ aNaturalNumber0(sK5(sK9)) ),
inference(superposition,[status(thm)],[c_60,c_194760]) ).
tcf(c_231381,plain,
( doDivides0(sK5(sK8),sz00)
| ( sz10 = sK8 )
| ( sz00 = sK8 )
| ~ sP0(sK8)
| ~ aNaturalNumber0(sK5(sK8)) ),
inference(superposition,[status(thm)],[c_60,c_194764]) ).
tcf(c_231422,plain,
( doDivides0(sK5(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ sP0(xm)
| ~ aNaturalNumber0(sK5(xm)) ),
inference(superposition,[status(thm)],[c_60,c_194768]) ).
tcf(c_231787,plain,
( doDivides0(sK5(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ sP0(xn)
| ~ aNaturalNumber0(sK5(xn)) ),
inference(superposition,[status(thm)],[c_60,c_194772]) ).
tcf(c_231797,plain,
( doDivides0(sK5(xn),sz00)
| ( xn = sz10 )
| ~ sP0(xn)
| ~ aNaturalNumber0(sK5(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231787,c_214266]) ).
tcf(c_231818,plain,
( doDivides0(sK5(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK5(xp)) ),
inference(superposition,[status(thm)],[c_60,c_194776]) ).
tcf(c_231826,plain,
( doDivides0(sK5(xp),sz00)
| ~ sP0(xp)
| ~ aNaturalNumber0(sK5(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231818,c_69,c_68]) ).
tcf(c_232133,plain,
( ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_190854,c_195854]) ).
tcf(c_232134,plain,
( ( sdtasdt0(sz10,sK16) = sK16 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_191089,c_195854]) ).
tcf(c_232135,plain,
( ( sdtasdt0(sK16,sz10) = sK16 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_191056,c_195854]) ).
tcf(c_232136,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_191023,c_195854]) ).
tcf(c_232137,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_190990,c_195854]) ).
tcf(c_232138,plain,
( ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_190957,c_195854]) ).
tcf(c_232139,plain,
( ( sdtasdt0(sK16,sz00) = sz00 )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_190924,c_195854]) ).
tcf(c_232140,plain,
( ( sdtasdt0(xr,sK16) = xn )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_117,c_195854]) ).
tcf(c_233416,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),xn) = sdtpldt0(xn,sK5(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_191565]) ).
tcf(c_233417,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),xn) = sdtpldt0(xn,sK6(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_191565]) ).
tcf(c_233427,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_191565]) ).
tcf(c_233441,plain,
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),xn) = sdtpldt0(xn,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_191565]) ).
tcf(c_241041,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_233428,c_195854]) ).
tcf(c_241042,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_233428,c_192840]) ).
tcf(c_241043,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_233428,c_190853]) ).
tcf(c_241044,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_233428,c_191088]) ).
tcf(c_241045,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_233428,c_191055]) ).
tcf(c_241046,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) ) ),
inference(superposition,[status(thm)],[c_233428,c_191022]) ).
tcf(c_241047,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) ) ),
inference(superposition,[status(thm)],[c_233428,c_190989]) ).
tcf(c_241048,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_233428,c_190956]) ).
tcf(c_241049,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_233428,c_190923]) ).
tcf(c_241050,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_233428,c_114]) ).
tcf(c_241110,plain,
( ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) )
| ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) ) ),
inference(superposition,[status(thm)],[c_233428,c_233427]) ).
tcf(c_241111,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_233427]) ).
tcf(c_241112,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_233427]) ).
tcf(c_241113,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_191056,c_233427]) ).
tcf(c_241114,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) ) ),
inference(superposition,[status(thm)],[c_191023,c_233427]) ).
tcf(c_241115,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) ) ),
inference(superposition,[status(thm)],[c_190990,c_233427]) ).
tcf(c_241116,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_233427]) ).
tcf(c_241117,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_233427]) ).
tcf(c_241118,plain,
( ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_233427]) ).
tcf(c_251630,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),xm) = sdtpldt0(xm,sK5(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_191566]) ).
tcf(c_251631,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),xm) = sdtpldt0(xm,sK6(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_191566]) ).
tcf(c_251641,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_191566]) ).
tcf(c_251655,plain,
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),xm) = sdtpldt0(xm,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_191566]) ).
tcf(c_266488,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_64]) ).
tcf(c_266489,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_62]) ).
tcf(c_266490,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_66]) ).
tcf(c_266496,plain,
( doDivides0(sK16,sz00)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_202716,c_272]) ).
tcf(c_266498,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sK16,sK7(X0,sK16)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_64]) ).
tcf(c_266499,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| aNaturalNumber0(sK7(X0,sK16))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_62]) ).
tcf(c_266500,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| doDivides0(sK16,X0)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_66]) ).
tcf(c_266504,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_202716,c_145]) ).
tcf(c_266505,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_202716,c_139]) ).
tcf(c_266506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sz00)
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_202716,c_139]) ).
tcf(c_266508,plain,
( doDivides0(sK16,sz00)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266496,c_151]) ).
tcf(c_266512,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266504,c_151]) ).
tcf(c_266519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sz00)
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266506,c_151]) ).
tcf(c_266527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266505,c_151]) ).
tcf(c_266535,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| doDivides0(sK16,X0)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266500,c_151]) ).
tcf(c_266545,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266490,c_151]) ).
tcf(c_266555,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| aNaturalNumber0(sK7(X0,sK16))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266499,c_151]) ).
tcf(c_266565,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266489,c_151]) ).
tcf(c_266575,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sK16,sK7(X0,sK16)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266498,c_151]) ).
tcf(c_266585,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266488,c_151]) ).
tcf(c_266933,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) ) ),
inference(superposition,[status(thm)],[c_251642,c_233427]) ).
tcf(c_266934,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_251642,c_195854]) ).
tcf(c_266935,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_251642,c_192840]) ).
tcf(c_266936,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_251642,c_190853]) ).
tcf(c_266937,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_251642,c_191088]) ).
tcf(c_266938,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_251642,c_191055]) ).
tcf(c_266939,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) ) ),
inference(superposition,[status(thm)],[c_251642,c_191022]) ).
tcf(c_266940,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) ) ),
inference(superposition,[status(thm)],[c_251642,c_190989]) ).
tcf(c_266941,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_251642,c_190956]) ).
tcf(c_266942,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_251642,c_190923]) ).
tcf(c_266943,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_251642,c_114]) ).
tcf(c_266970,plain,
( ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) )
| ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) ) ),
inference(superposition,[status(thm)],[c_251642,c_251641]) ).
tcf(c_266971,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) ) ),
inference(superposition,[status(thm)],[c_233428,c_251641]) ).
tcf(c_266972,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_251641]) ).
tcf(c_266973,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_251641]) ).
tcf(c_266974,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_191056,c_251641]) ).
tcf(c_266975,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) ) ),
inference(superposition,[status(thm)],[c_191023,c_251641]) ).
tcf(c_266976,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) ) ),
inference(superposition,[status(thm)],[c_190990,c_251641]) ).
tcf(c_266977,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_251641]) ).
tcf(c_266978,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_251641]) ).
tcf(c_266979,plain,
( ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_251641]) ).
tcf(c_267571,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK15,X0)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_64]) ).
tcf(c_267572,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK15,X0)
| aNaturalNumber0(sK7(xr,X0))
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_62]) ).
tcf(c_267573,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK15,X0)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_66]) ).
tcf(c_267576,plain,
( ( sz00 = sK15 )
| ( sz00 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_202723,c_142]) ).
tcf(c_267579,plain,
( doDivides0(xr,xm)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_202723,c_272]) ).
tcf(c_267581,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_64]) ).
tcf(c_267582,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_62]) ).
tcf(c_267583,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_66]) ).
tcf(c_267584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK15),xm)
| ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_202723,c_141]) ).
tcf(c_267585,plain,
( sdtlseqdt0(xr,xm)
| ( sz00 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_202723,c_137]) ).
tcf(c_267586,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK15))
| ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_202723,c_141]) ).
tcf(c_267587,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_145]) ).
tcf(c_267588,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK15,X0) ),
inference(superposition,[status(thm)],[c_202723,c_139]) ).
tcf(c_267589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xm)
| ( sz00 = xr )
| ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK15) ),
inference(superposition,[status(thm)],[c_202723,c_139]) ).
tcf(c_267590,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK15) != xm ) ),
inference(superposition,[status(thm)],[c_202723,c_146]) ).
tcf(c_267591,plain,
( doDivides0(xr,xm)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267579,c_95]) ).
tcf(c_267595,plain,
( sdtlseqdt0(xr,xm)
| ( sz00 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267585,c_95]) ).
tcf(c_267600,plain,
( ( sz00 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267576,c_99,c_95]) ).
tcf(c_267605,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK15) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267590,c_95]) ).
tcf(c_267612,plain,
! [X0: $i] :
( ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267587,c_99,c_95]) ).
tcf(c_267618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xm)
| ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267589,c_99,c_95]) ).
tcf(c_267625,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xr,X0))
| ( X0 = sK15 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267588,c_99,c_95]) ).
tcf(c_267632,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK15))
| ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267586,c_95]) ).
tcf(c_267640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK15),xm)
| ( sz00 = sK15 )
| ( X0 = xr )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267584,c_95]) ).
tcf(c_267648,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267583,c_95]) ).
tcf(c_267658,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK15,X0)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267573,c_95]) ).
tcf(c_267668,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK7(X0,xr))
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267582,c_95]) ).
tcf(c_267678,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK15,X0)
| aNaturalNumber0(sK7(xr,X0))
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267572,c_95]) ).
tcf(c_267688,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(xr,sK7(X0,xr)) = X0 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267581,c_95]) ).
tcf(c_267698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK15,X0)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ( sdtasdt0(X0,sK7(xr,X0)) = xr )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK15),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267571,c_95]) ).
tcf(c_268869,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202730,c_65]) ).
tcf(c_268870,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202730,c_63]) ).
tcf(c_268871,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202730,c_67]) ).
tcf(c_268876,plain,
( sdtlseqdt0(sK16,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_202730,c_275]) ).
tcf(c_268878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_202730,c_162]) ).
tcf(c_268880,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK16) ),
inference(superposition,[status(thm)],[c_202730,c_157]) ).
tcf(c_268881,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sK16,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_202730,c_160]) ).
tcf(c_268882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK16,X0),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_202730,c_160]) ).
tcf(c_268883,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK16 ) ),
inference(superposition,[status(thm)],[c_202730,c_167]) ).
tcf(c_268884,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sz00))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_202730,c_162]) ).
tcf(c_268885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK16,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_202730,c_166]) ).
tcf(c_268886,plain,
( sdtlseqdt0(sK16,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268876,c_151]) ).
tcf(c_268890,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268880,c_151]) ).
tcf(c_268896,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK16,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268885,c_151]) ).
tcf(c_268902,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268883,c_151]) ).
tcf(c_268908,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sz00))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268884,c_151]) ).
tcf(c_268915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK16,X0),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268882,c_151]) ).
tcf(c_268922,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sK16,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268881,c_151]) ).
tcf(c_268929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268878,c_151]) ).
tcf(c_268936,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268871,c_151]) ).
tcf(c_268945,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268870,c_151]) ).
tcf(c_268954,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK16,sz00))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268869,c_151]) ).
tcf(c_270085,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202737,c_65]) ).
tcf(c_270086,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202737,c_63]) ).
tcf(c_270087,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_202737,c_67]) ).
tcf(c_270092,plain,
( sdtlseqdt0(sz00,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_202737,c_275]) ).
tcf(c_270094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK16),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_202737,c_162]) ).
tcf(c_270097,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sz00,X0))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_202737,c_160]) ).
tcf(c_270098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_202737,c_160]) ).
tcf(c_270099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK16) != sK16 ) ),
inference(superposition,[status(thm)],[c_202737,c_167]) ).
tcf(c_270100,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sK16))
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_202737,c_162]) ).
tcf(c_270101,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_202737,c_166]) ).
tcf(c_270102,plain,
( sdtlseqdt0(sz00,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270092,c_151]) ).
tcf(c_270106,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270101,c_151]) ).
tcf(c_270112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK16) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270099,c_151]) ).
tcf(c_270118,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sK16))
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270100,c_151]) ).
tcf(c_270125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270098,c_151]) ).
tcf(c_270132,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sz00,X0))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270097,c_151]) ).
tcf(c_270139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK16),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270094,c_151]) ).
tcf(c_270146,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270087,c_151]) ).
tcf(c_270155,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(sz00,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270086,c_151]) ).
tcf(c_270164,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK16))
| ~ iLess0(sdtpldt0(sK16,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270085,c_151]) ).
tcf(c_271530,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_64]) ).
tcf(c_271531,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_62]) ).
tcf(c_271532,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz10,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_66]) ).
tcf(c_271538,plain,
( doDivides0(sK16,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_202744,c_272]) ).
tcf(c_271540,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sK16,sK7(X0,sK16)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_64]) ).
tcf(c_271541,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| aNaturalNumber0(sK7(X0,sK16))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_62]) ).
tcf(c_271542,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| doDivides0(sK16,X0)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_66]) ).
tcf(c_271543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK16)
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_202744,c_141]) ).
tcf(c_271544,plain,
( sdtlseqdt0(sK16,sK16)
| ( sz00 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_202744,c_137]) ).
tcf(c_271545,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_202744,c_141]) ).
tcf(c_271546,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_145]) ).
tcf(c_271547,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_202744,c_139]) ).
tcf(c_271548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_202744,c_139]) ).
tcf(c_271549,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK16 ) ),
inference(superposition,[status(thm)],[c_202744,c_146]) ).
tcf(c_271550,plain,
( doDivides0(sK16,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271538,c_155]) ).
tcf(c_271555,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271549,c_156,c_155]) ).
tcf(c_271561,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271546,c_155]) ).
tcf(c_271568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271548,c_155]) ).
tcf(c_271576,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271547,c_155]) ).
tcf(c_271584,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sz10))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271545,c_156,c_155]) ).
tcf(c_271591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271543,c_156,c_155]) ).
tcf(c_271598,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| doDivides0(sK16,X0)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271542,c_155]) ).
tcf(c_271608,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK16)
| sP1(sz10,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271532,c_155]) ).
tcf(c_271618,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| aNaturalNumber0(sK7(X0,sK16))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271541,c_155]) ).
tcf(c_271628,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK7(sK16,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271531,c_155]) ).
tcf(c_271638,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| sP1(X1,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sK16,sK7(X0,sK16)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK16),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271540,c_155]) ).
tcf(c_271648,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sK16,X0)) = sK16 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK16,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271530,c_155]) ).
tcf(c_273348,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_64]) ).
tcf(c_273349,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_62]) ).
tcf(c_273350,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_66]) ).
tcf(c_273356,plain,
( doDivides0(sz10,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_202751,c_272]) ).
tcf(c_273358,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_64]) ).
tcf(c_273359,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_62]) ).
tcf(c_273360,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_66]) ).
tcf(c_273361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK16),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_202751,c_141]) ).
tcf(c_273362,plain,
( sdtlseqdt0(sz10,sK16)
| ( sz00 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_202751,c_137]) ).
tcf(c_273363,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sK16))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_202751,c_141]) ).
tcf(c_273364,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_145]) ).
tcf(c_273365,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_202751,c_139]) ).
tcf(c_273366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK16)
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_202751,c_139]) ).
tcf(c_273367,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK16) != sK16 ) ),
inference(superposition,[status(thm)],[c_202751,c_146]) ).
tcf(c_273368,plain,
( doDivides0(sz10,sK16)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273356,c_155]) ).
tcf(c_273372,plain,
( sdtlseqdt0(sz10,sK16)
| ( sz00 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273362,c_155]) ).
tcf(c_273377,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK16) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273367,c_155]) ).
tcf(c_273384,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273364,c_156,c_155]) ).
tcf(c_273390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273366,c_156,c_155]) ).
tcf(c_273397,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sz10,X0))
| ( X0 = sK16 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273365,c_156,c_155]) ).
tcf(c_273404,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sK16))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273363,c_155]) ).
tcf(c_273412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK16),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273361,c_155]) ).
tcf(c_273420,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273360,c_155]) ).
tcf(c_273430,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273350,c_155]) ).
tcf(c_273440,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK7(X0,sz10))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273359,c_155]) ).
tcf(c_273450,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| aNaturalNumber0(sK7(sz10,X0))
| ( sdtasdt0(xr,sK15) = xm )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273349,c_155]) ).
tcf(c_273460,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(sz10,sK7(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273358,c_155]) ).
tcf(c_273470,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK16,X0)
| ( sdtasdt0(xr,sK15) = xm )
| ( sdtasdt0(X0,sK7(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK16),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273348,c_155]) ).
tcf(c_276744,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),xp) = sdtpldt0(xp,sK5(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_191567]) ).
tcf(c_276745,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),xp) = sdtpldt0(xp,sK6(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_191567]) ).
tcf(c_276755,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_191567]) ).
tcf(c_276769,plain,
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),xp) = sdtpldt0(xp,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_191567]) ).
tcf(c_281810,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtpldt0(xm,sK15) = sdtpldt0(sK15,xm) ) ),
inference(superposition,[status(thm)],[c_276756,c_251641]) ).
tcf(c_281811,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtpldt0(xn,sK15) = sdtpldt0(sK15,xn) ) ),
inference(superposition,[status(thm)],[c_276756,c_233427]) ).
tcf(c_281812,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(xr,sdtsldt0(xm,xr)) = xm ) ),
inference(superposition,[status(thm)],[c_276756,c_195854]) ).
tcf(c_281813,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(xr,sK20(xr,xm)) = xm ) ),
inference(superposition,[status(thm)],[c_276756,c_192840]) ).
tcf(c_281814,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtsldt0(sdtasdt0(xn,sK15),xn) = sK15 ) ),
inference(superposition,[status(thm)],[c_276756,c_190853]) ).
tcf(c_281815,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(sz10,sK15) = sK15 ) ),
inference(superposition,[status(thm)],[c_276756,c_191088]) ).
tcf(c_281816,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(sK15,sz10) = sK15 ) ),
inference(superposition,[status(thm)],[c_276756,c_191055]) ).
tcf(c_281817,plain,
( ( sdtpldt0(sz00,sK15) = sK15 )
| ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) ) ),
inference(superposition,[status(thm)],[c_276756,c_191022]) ).
tcf(c_281818,plain,
( ( sdtpldt0(sK15,sz00) = sK15 )
| ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) ) ),
inference(superposition,[status(thm)],[c_276756,c_190989]) ).
tcf(c_281819,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(sz00,sK15) = sz00 ) ),
inference(superposition,[status(thm)],[c_276756,c_190956]) ).
tcf(c_281820,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(sK15,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_276756,c_190923]) ).
tcf(c_281821,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtasdt0(xr,sK15) = xm ) ),
inference(superposition,[status(thm)],[c_276756,c_114]) ).
tcf(c_281946,plain,
( ( sdtpldt0(xp,sK16) = sdtpldt0(sK16,xp) )
| ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) ) ),
inference(superposition,[status(thm)],[c_276756,c_276755]) ).
tcf(c_281947,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtpldt0(xm,sK16) = sdtpldt0(sK16,xm) ) ),
inference(superposition,[status(thm)],[c_251642,c_276755]) ).
tcf(c_281948,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtpldt0(xn,sK16) = sdtpldt0(sK16,xn) ) ),
inference(superposition,[status(thm)],[c_233428,c_276755]) ).
tcf(c_281949,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtsldt0(sdtasdt0(xn,sK16),xn) = sK16 ) ),
inference(superposition,[status(thm)],[c_190854,c_276755]) ).
tcf(c_281950,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtasdt0(sz10,sK16) = sK16 ) ),
inference(superposition,[status(thm)],[c_191089,c_276755]) ).
tcf(c_281951,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtasdt0(sK16,sz10) = sK16 ) ),
inference(superposition,[status(thm)],[c_191056,c_276755]) ).
tcf(c_281952,plain,
( ( sdtpldt0(sz00,sK16) = sK16 )
| ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) ) ),
inference(superposition,[status(thm)],[c_191023,c_276755]) ).
tcf(c_281953,plain,
( ( sdtpldt0(sK16,sz00) = sK16 )
| ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) ) ),
inference(superposition,[status(thm)],[c_190990,c_276755]) ).
tcf(c_281954,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtasdt0(sz00,sK16) = sz00 ) ),
inference(superposition,[status(thm)],[c_190957,c_276755]) ).
tcf(c_281955,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtasdt0(sK16,sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_190924,c_276755]) ).
tcf(c_281956,plain,
( ( sdtpldt0(xp,sK15) = sdtpldt0(sK15,xp) )
| ( sdtasdt0(xr,sK16) = xn ) ),
inference(superposition,[status(thm)],[c_117,c_276755]) ).
tcf(c_285128,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209721,c_272]) ).
tcf(c_285133,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209721,c_145]) ).
tcf(c_285134,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209721,c_139]) ).
tcf(c_285135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209721,c_139]) ).
tcf(c_285137,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285128,c_151]) ).
tcf(c_285141,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285133,c_151]) ).
tcf(c_285148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285135,c_151]) ).
tcf(c_285156,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK16) = sK16 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285134,c_151]) ).
tcf(c_285516,plain,
( doDivides0(sK16,sK16)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209722,c_272]) ).
tcf(c_285518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK16)
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_209722,c_141]) ).
tcf(c_285519,plain,
( sdtlseqdt0(sK16,sK16)
| ( sz00 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209722,c_137]) ).
tcf(c_285520,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_209722,c_141]) ).
tcf(c_285521,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_209722,c_145]) ).
tcf(c_285522,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209722,c_139]) ).
tcf(c_285523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209722,c_139]) ).
tcf(c_285524,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK16 ) ),
inference(superposition,[status(thm)],[c_209722,c_146]) ).
tcf(c_285525,plain,
( doDivides0(sK16,sK16)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285516,c_155]) ).
tcf(c_285529,plain,
( sdtlseqdt0(sK16,sK16)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285519,c_156,c_155]) ).
tcf(c_285533,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285524,c_156,c_155]) ).
tcf(c_285539,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285521,c_155]) ).
tcf(c_285546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sK16)
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285523,c_155]) ).
tcf(c_285554,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz10 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285522,c_155]) ).
tcf(c_285562,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtasdt0(X0,sz10))
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285520,c_156,c_155]) ).
tcf(c_285569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285518,c_156,c_155]) ).
tcf(c_286003,plain,
( sdtlseqdt0(sz00,sK16)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209723,c_275]) ).
tcf(c_286005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK16),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209723,c_162]) ).
tcf(c_286008,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sz00,X0))
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_209723,c_160]) ).
tcf(c_286009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_209723,c_160]) ).
tcf(c_286010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK16) != sK16 ) ),
inference(superposition,[status(thm)],[c_209723,c_167]) ).
tcf(c_286011,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sK16))
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209723,c_162]) ).
tcf(c_286012,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_209723,c_166]) ).
tcf(c_286013,plain,
( sdtlseqdt0(sz00,sK16)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286003,c_151]) ).
tcf(c_286017,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286012,c_151]) ).
tcf(c_286023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK16) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286010,c_151]) ).
tcf(c_286029,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sK16))
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286011,c_151]) ).
tcf(c_286036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286009,c_151]) ).
tcf(c_286043,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sz00,X0))
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286008,c_151]) ).
tcf(c_286050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK16),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286005,c_151]) ).
tcf(c_286433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(superposition,[status(thm)],[c_209724,c_162]) ).
tcf(c_286435,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK16) ),
inference(superposition,[status(thm)],[c_209724,c_157]) ).
tcf(c_286436,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sK16,X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209724,c_160]) ).
tcf(c_286437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK16,X0),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209724,c_160]) ).
tcf(c_286438,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK16 ) ),
inference(superposition,[status(thm)],[c_209724,c_167]) ).
tcf(c_286439,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sz00))
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(superposition,[status(thm)],[c_209724,c_162]) ).
tcf(c_286440,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK16,X0) != sK16 ) ),
inference(superposition,[status(thm)],[c_209724,c_166]) ).
tcf(c_286441,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286435,c_151]) ).
tcf(c_286447,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK16,X0) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286440,c_151]) ).
tcf(c_286453,plain,
! [X0: $i] :
( ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286438,c_151]) ).
tcf(c_286459,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(X0,sz00))
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286439,c_151]) ).
tcf(c_286466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK16,X0),sK16)
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286437,c_151]) ).
tcf(c_286473,plain,
! [X0: $i] :
( sdtlseqdt0(sK16,sdtpldt0(sK16,X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286436,c_151]) ).
tcf(c_286480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK16)
| ( X0 = sK16 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286433,c_151]) ).
tcf(c_287952,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209725,c_272]) ).
tcf(c_287957,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209725,c_145]) ).
tcf(c_287958,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209725,c_139]) ).
tcf(c_287959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209725,c_139]) ).
tcf(c_287961,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287952,c_151]) ).
tcf(c_287965,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287957,c_151]) ).
tcf(c_287972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287959,c_151]) ).
tcf(c_287980,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK16) = sz00 )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287958,c_151]) ).
tcf(c_288413,plain,
( doDivides0(sK16,sz00)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209726,c_272]) ).
tcf(c_288418,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209726,c_145]) ).
tcf(c_288419,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209726,c_139]) ).
tcf(c_288420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sz00)
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209726,c_139]) ).
tcf(c_288422,plain,
( doDivides0(sK16,sz00)
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288413,c_151]) ).
tcf(c_288426,plain,
! [X0: $i] :
( ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK16,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288418,c_151]) ).
tcf(c_288433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK16,X0),sz00)
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288420,c_151]) ).
tcf(c_288441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK16,X0))
| ( sz00 = sK16 )
| ( X0 = sz00 )
| ( sdtasdt0(sK15,sz00) = sz00 )
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288419,c_151]) ).
tcf(c_288503,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),sK8) = sdtpldt0(sK8,sK5(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_191571]) ).
tcf(c_288504,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),sK8) = sdtpldt0(sK8,sK6(X0)) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_191571]) ).
tcf(c_288514,plain,
( ( sdtpldt0(sK8,sK15) = sdtpldt0(sK15,sK8) )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_113,c_191571]) ).
tcf(c_288528,plain,
( ( sdtpldt0(sdtsldt0(sdtasdt0(xn,xm),xr),sK8) = sdtpldt0(sK8,sdtsldt0(sdtasdt0(xn,xm),xr)) )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_1145,c_191571]) ).
tcf(c_289675,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209727,c_272]) ).
tcf(c_289680,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209727,c_145]) ).
tcf(c_289681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209727,c_139]) ).
tcf(c_289682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209727,c_139]) ).
tcf(c_289684,plain,
( doDivides0(sK15,sz00)
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289675,c_151]) ).
tcf(c_289688,plain,
! [X0: $i] :
( ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK15,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289680,c_151]) ).
tcf(c_289695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK15,X0),sz00)
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289682,c_151]) ).
tcf(c_289703,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK15,X0))
| ( sz00 = sK15 )
| ( X0 = sz00 )
| ( sdtasdt0(xr,sK16) = xn )
| ~ aNaturalNumber0(sK15)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289681,c_151]) ).
tcf(c_289985,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_289901,c_289606,c_289535,c_289434,c_289363,c_289324,c_288786,c_281949,c_281814,c_280152,c_279802,c_279732,c_279546,c_279476,c_279337,c_279267,c_279228,c_279098,c_279059,c_278933,c_278741,c_278624,c_278526,c_278408,c_278192,c_278067,c_278028,c_277217,c_277153,c_276994,c_276565,c_276485,c_276476,c_276467,c_276458,c_276449,c_276440,c_276399,c_276393,c_276391,c_276390,c_276389,c_276381,c_276380,c_276379,c_275901,c_274815,c_274806,c_274797,c_274788,c_274779,c_274770,c_274729,c_274723,c_274721,c_274720,c_274719,c_274711,c_274710,c_274709,c_274564,c_274023,c_273283,c_272339,c_271544,c_271399,c_270428,c_269641,c_268996,c_268296,c_267506,c_267109,c_267050,c_266972,c_266936,c_266714,c_266713,c_266712,c_266429,c_266428,c_266427,c_266208,c_266207,c_266206,c_266034,c_266033,c_266032,c_288519,c_276760,c_257094,c_257093,c_257092,c_256861,c_256860,c_256859,c_256617,c_256616,c_256615,c_256582,c_256573,c_256564,c_256555,c_256546,c_256537,c_256484,c_256483,c_256482,c_256474,c_256473,c_256472,c_256200,c_256199,c_256198,c_255660,c_255659,c_255658,c_255393,c_255392,c_255391,c_255195,c_255194,c_255193,c_254968,c_254967,c_254966,c_254891,c_254882,c_254873,c_254864,c_254855,c_254846,c_254793,c_254792,c_254791,c_254783,c_254782,c_254781,c_254643,c_254510,c_254506,c_254433,c_254252,c_254086,c_253905,c_253876,c_253866,c_253856,c_253846,c_253836,c_253826,c_253772,c_253770,c_253769,c_253768,c_253760,c_253759,c_253758,c_253587,c_253170,c_252951,c_252824,c_252773,c_252491,c_252418,c_252156,c_251989,c_251860,c_251646,c_251542,c_251415,c_251239,c_250791,c_250507,c_249387,c_248881,c_248744,c_248192,c_247797,c_247421,c_246837,c_246733,c_246251,c_246115,c_244730,c_244100,c_243957,c_243467,c_243346,c_242309,c_241825,c_241601,c_241244,c_241186,c_241111,c_241043,c_240729,c_240728,c_240727,c_240564,c_240563,c_240562,c_240301,c_240300,c_240299,c_240136,c_240135,c_240134,c_239924,c_239923,c_239922,c_239632,c_239631,c_239630,c_239348,c_239347,c_239346,c_239169,c_239168,c_239167,c_238593,c_238592,c_238591,c_238343,c_238342,c_238341,c_238178,c_238177,c_238176,c_237839,c_237838,c_237837,c_237651,c_237650,c_237649,c_237439,c_237285,c_237196,c_236948,c_236859,c_236782,c_236693,c_236651,c_236562,c_236473,c_235876,c_235644,c_235468,c_235328,c_235143,c_235015,c_234926,c_234714,c_234625,c_234536,c_234404,c_234266,c_233432,c_233347,c_233251,c_233024,c_232967,c_232711,c_232653,c_232378,c_232323,c_232133,c_232063,c_232011,c_231826,c_231818,c_231202,c_231194,c_230934,c_230880,c_230548,c_230498,c_230394,c_230343,c_230123,c_230076,c_229972,c_229935,c_229889,c_229866,c_229814,c_229763,c_229715,c_229678,c_229668,c_229660,c_229652,c_229587,c_229586,c_229585,c_229209,c_229166,c_229082,c_229040,c_228966,c_228926,c_228844,c_228805,c_228724,c_228686,c_228642,c_228605,c_228402,c_228366,c_228324,c_228289,c_228248,c_228214,c_228174,c_228141,c_228024,c_227992,c_227422,c_227384,c_227383,c_227382,c_227381,c_227380,c_227379,c_227378,c_227377,c_227355,c_227346,c_227337,c_227328,c_227319,c_227310,c_227254,c_227253,c_227252,c_227244,c_227243,c_227242,c_227178,c_227177,c_227176,c_227175,c_227174,c_227173,c_227172,c_226778,c_226760,c_226751,c_226698,c_226697,c_226696,c_226488,c_226470,c_226461,c_226408,c_226407,c_226406,c_226369,c_226351,c_226342,c_226289,c_226288,c_226287,c_226250,c_226232,c_226223,c_226170,c_226169,c_226168,c_226006,c_225988,c_225979,c_225926,c_225925,c_225924,c_225869,c_225851,c_225842,c_225789,c_225788,c_225787,c_225717,c_225699,c_225690,c_225637,c_225636,c_225635,c_225598,c_225580,c_225571,c_225518,c_225517,c_225516,c_225411,c_225397,c_225329,c_225311,c_225302,c_225249,c_225248,c_225247,c_225210,c_225192,c_225183,c_225130,c_225129,c_225128,c_224833,c_224815,c_224806,c_224753,c_224752,c_224751,c_224714,c_224696,c_224687,c_224634,c_224633,c_224632,c_224451,c_224433,c_224424,c_224379,c_224378,c_224377,c_224340,c_224322,c_224313,c_224268,c_224267,c_224266,c_224142,c_224124,c_224115,c_224070,c_224069,c_224068,c_224031,c_224013,c_224004,c_223959,c_223958,c_223957,c_223841,c_223823,c_223814,c_223761,c_223760,c_223759,c_223710,c_223692,c_223683,c_223630,c_223629,c_223628,c_223579,c_223561,c_223552,c_223499,c_223498,c_223497,c_223431,c_223413,c_223404,c_223351,c_223350,c_223349,c_223312,c_223294,c_223285,c_223240,c_223239,c_223238,c_222897,c_222890,c_222872,c_222858,c_222856,c_222848,c_222862,c_222737,c_222733,c_222727,c_222720,c_222642,c_222617,c_222601,c_222593,c_222607,c_222476,c_222469,c_222451,c_222437,c_222435,c_222427,c_222441,c_222325,c_222318,c_222300,c_222286,c_222284,c_222276,c_222290,c_222215,c_222197,c_222188,c_222143,c_222142,c_222141,c_222099,c_222081,c_222072,c_222019,c_222018,c_222017,c_221980,c_221962,c_221953,c_221908,c_221907,c_221906,c_221829,c_221811,c_221802,c_221749,c_221748,c_221747,c_221437,c_221419,c_221410,c_221365,c_221364,c_221363,c_221296,c_221278,c_221269,c_221224,c_221223,c_221222,c_221185,c_221167,c_221158,c_221113,c_221112,c_221111,c_221074,c_221056,c_221047,c_220994,c_220993,c_220992,c_207671,c_207665,c_207660,c_202824,c_202818,c_202803,c_217821,c_217815,c_217804,c_281273,c_281267,c_281261,c_281255,c_281249,c_281243,c_281238,c_281233,c_281231,c_281229,c_281228,c_281227,c_281226,c_281225,c_281232,c_281230,c_284516,c_284510,c_284504,c_284498,c_284493,c_284488,c_284483,c_284481,c_284479,c_284478,c_284477,c_284475,c_284482,c_284480,c_282886,c_282879,c_282873,c_282867,c_282861,c_282856,c_282854,c_282853,c_282851,c_282849,c_282852,c_282855,c_282133,c_282126,c_282120,c_282114,c_282108,c_282103,c_282101,c_282100,c_282098,c_282096,c_282099,c_282102,c_276433,c_276426,c_276420,c_276414,c_276408,c_276403,c_276397,c_276396,c_276394,c_276392,c_276395,c_276398,c_274763,c_274756,c_274750,c_274744,c_274738,c_274733,c_274727,c_274726,c_274724,c_274722,c_274725,c_274728,c_256530,c_256523,c_256517,c_256511,c_256505,c_256500,c_256496,c_256492,c_256490,c_256489,c_256487,c_256486,c_256485,c_256477,c_256488,c_256491,c_254839,c_254832,c_254826,c_254820,c_254814,c_254809,c_254805,c_254801,c_254799,c_254798,c_254796,c_254795,c_254794,c_254786,c_254797,c_254800,c_279635,c_279627,c_279620,c_279613,c_279606,c_279600,c_279598,c_279597,c_279595,c_279593,c_279596,c_279599,c_278923,c_278916,c_278909,c_278902,c_278896,c_278890,c_278888,c_278887,c_278885,c_278883,c_278886,c_278889,c_229646,c_229640,c_229634,c_229628,c_229622,c_229616,c_229611,c_229606,c_229602,c_229600,c_229598,c_229597,c_229596,c_229595,c_229594,c_229590,c_229601,c_229599,c_228597,c_278317,c_278311,c_278305,c_278299,c_278294,c_278289,c_278284,c_278280,c_278278,c_278276,c_278275,c_278274,c_278272,c_278268,c_278279,c_278277,c_215867,c_215861,c_215850,c_215847,c_289902,c_289900,c_289899,c_289898,c_289897,c_289896,c_289895,c_289894,c_289893,c_289892,c_289891,c_289890,c_289889,c_289888,c_289887,c_289886,c_289885,c_289766,c_289761,c_289756,c_289751,c_289746,c_289741,c_289737,c_289733,c_289730,c_289727,c_289726,c_289725,c_289723,c_289721,c_289720,c_289719,c_289718,c_289717,c_289716,c_289715,c_289714,c_289713,c_289724,c_289722,c_289663,c_289662,c_289658,c_289655,c_289654,c_289653,c_289652,c_289651,c_289607,c_289605,c_289604,c_289603,c_289602,c_289601,c_289600,c_289599,c_289598,c_289597,c_289596,c_289595,c_289594,c_289593,c_289592,c_289591,c_289590,c_289585,c_289580,c_289575,c_289570,c_289565,c_289560,c_289556,c_289552,c_289551,c_289547,c_289546,c_289544,c_289542,c_289541,c_289540,c_289539,c_289538,c_289537,c_289536,c_289534,c_289545,c_289543,c_289529,c_289528,c_289524,c_289521,c_289520,c_289519,c_289518,c_289517,c_289435,c_289433,c_289432,c_289431,c_289430,c_289429,c_289428,c_289427,c_289426,c_289425,c_289424,c_289423,c_289422,c_289421,c_289420,c_289419,c_289418,c_289413,c_289408,c_289403,c_289398,c_289393,c_289388,c_289384,c_289380,c_289379,c_289375,c_289374,c_289372,c_289370,c_289369,c_289368,c_289367,c_289366,c_289365,c_289364,c_289362,c_289373,c_289371,c_289357,c_289356,c_289352,c_289349,c_289348,c_289347,c_289346,c_289345,c_289325,c_289323,c_289322,c_289321,c_289320,c_289319,c_289318,c_289317,c_289316,c_289315,c_289314,c_289313,c_289312,c_289311,c_289310,c_289309,c_289308,c_289241,c_289236,c_289231,c_289226,c_289221,c_289216,c_289212,c_289208,c_289205,c_289202,c_289201,c_289200,c_289198,c_289196,c_289195,c_289194,c_289193,c_289192,c_289191,c_289190,c_289189,c_289188,c_289199,c_289197,c_288868,c_288867,c_288863,c_288860,c_288859,c_288858,c_288857,c_288856,c_288787,c_288785,c_288784,c_288783,c_288782,c_288781,c_288780,c_288779,c_288778,c_288777,c_288776,c_288775,c_288774,c_288773,c_288772,c_288771,c_288770,c_288765,c_288760,c_288755,c_288750,c_288745,c_288740,c_288736,c_288732,c_288729,c_288726,c_288725,c_288724,c_288722,c_288720,c_288719,c_288718,c_288717,c_288716,c_288715,c_288714,c_288713,c_288712,c_288723,c_288721,c_288566,c_288565,c_288564,c_288563,c_288562,c_288561,c_288560,c_288559,c_288558,c_288557,c_288556,c_288555,c_288554,c_288553,c_288552,c_288551,c_288550,c_288549,c_288548,c_288547,c_288546,c_288545,c_288544,c_288543,c_288542,c_288541,c_288540,c_288539,c_288538,c_288537,c_288536,c_288535,c_288534,c_288533,c_288532,c_288531,c_288530,c_288490,c_288485,c_288480,c_288475,c_288471,c_288467,c_288463,c_288461,c_288459,c_288458,c_288457,c_288455,c_288462,c_288460,c_288401,c_288400,c_288396,c_288395,c_288394,c_288393,c_288392,c_288391,c_288386,c_288381,c_288376,c_288371,c_288367,c_288363,c_288362,c_288360,c_288358,c_288357,c_288354,c_288352,c_288361,c_288359,c_288347,c_288344,c_288277,c_288276,c_288273,c_288272,c_288271,c_288269,c_288266,c_288265,c_288260,c_288255,c_288250,c_288245,c_288241,c_288237,c_288236,c_288235,c_288233,c_288232,c_288230,c_288229,c_288228,c_288226,c_288231,c_288234,c_288218,c_288217,c_288213,c_288212,c_288209,c_288208,c_288206,c_288205,c_288174,c_288169,c_288164,c_288159,c_288155,c_288151,c_288150,c_288148,c_288147,c_288145,c_288143,c_288141,c_288146,c_288149,c_288131,c_288126,c_288121,c_288116,c_288112,c_288108,c_288104,c_288102,c_288100,c_288099,c_288098,c_288096,c_288103,c_288101,c_288087,c_288086,c_288082,c_288081,c_288080,c_288079,c_28807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,c_190930,c_190929,c_190928,c_190927,c_190926,c_190925,c_190924,c_190923,c_190922,c_190921,c_190920,c_190919,c_190918,c_190917,c_190916,c_190915,c_190914,c_190913,c_190912,c_190911,c_190910,c_190892,c_190831,c_190826,c_190817,c_190808,c_190800,c_190795,c_190791,c_190787,c_190783,c_190779,c_190775,c_190771,c_190767,c_190748,c_190747,c_190746,c_190745,c_190744,c_190743,c_190903,c_1317,c_1278,c_1145,c_282,c_275,c_272,c_268,c_266,c_199,c_198,c_196,c_194,c_193,c_192,c_195,c_190,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_162,c_160,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_139,c_137,c_136,c_133,c_129,c_128,c_127,c_126,c_125,c_122,c_121,c_120,c_119,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM512+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 04:22:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 87.00/21.57 % SZS status Started for theBenchmark.p
% 87.00/21.57 % SZS status Theorem for theBenchmark.p
% 87.00/21.57
% 87.00/21.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 87.00/21.57
% 87.00/21.57 % ------ iProver source info
% 87.00/21.57
% 87.00/21.57 % git: date: 2026-07-19 20:42:38 +0200
% 87.00/21.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 87.00/21.57 % git: non_committed_changes: false
% 87.00/21.57
% 87.00/21.57 % ------ Parsing...
% 87.00/21.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 87.00/21.57
% 87.00/21.57 % ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 87.00/21.57
% 87.00/21.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 87.00/21.57
% 87.00/21.57 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 87.00/21.57 % ------ Proving...
% 87.00/21.57 % ------ Problem Properties
% 87.00/21.57
% 87.00/21.57 %
% 87.00/21.57 % clauses 139
% 87.00/21.57 % conjectures 1
% 87.00/21.57 % EPR 53
% 87.00/21.57 % Horn 97
% 87.00/21.57 % unary 54
% 87.00/21.57 % binary 22
% 87.00/21.57 % lits 411
% 87.00/21.57 % lits eq 129
% 87.00/21.57 % fd_pure 0
% 87.00/21.57 % fd_pseudo 0
% 87.00/21.57 % fd_cond 24
% 87.00/21.57 % fd_pseudo_cond 11
% 87.00/21.57 % AC symbols 0
% 87.00/21.57
% 87.00/21.57 % ------ Schedule dynamic 5 is on
% 87.00/21.57
% 87.00/21.57 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 87.00/21.57
% 87.00/21.57
% 87.00/21.57 % ------
% 87.00/21.57 % Current options:
% 87.00/21.57 % ------
% 87.00/21.57
% 87.00/21.57
% 87.00/21.57 %
% 87.00/21.57
% 87.00/21.57 % ------ Proving...
% 87.00/21.57 % Proof_search_loop: time out after: 6028 full_loop iterations
% 87.00/21.57
% 87.00/21.57 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 87.00/21.57
% 87.00/21.57
% 87.00/21.57 % ------
% 87.00/21.57 % Current options:
% 87.00/21.57 % ------
% 87.00/21.57
% 87.00/21.57
% 87.00/21.57 %
% 87.00/21.57
% 87.00/21.57 % ------ Proving...
% 87.00/21.57 %
% 87.00/21.57
% 87.00/21.57 % SZS status Theorem for theBenchmark.p
% 87.00/21.57
% 87.00/21.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 153.83/21.82
% 153.83/21.82
%------------------------------------------------------------------------------